The fraction that is equivalent to 3/4 is seen as; 6/8
How to represent fractions?A number sentence is defined as a mathematical sentence that is made up of numbers and symbols.
We want to write a number sentence using multiplication to show a fraction that is equivalent to 3/4.
Now, for us to find the final equivalent fraction, what we have to do is that we will divide or multiply by denominator and numerator by the same number that is equal to one e.g 3/3; 5/5; 6/6, etc.
Since we want to find equivalent fraction of 3/4, let us multiply both numerator and denominator by 2 to get;
(3 * 2)/(4 * 2) = 6/8
Read more about Fractions at; https://brainly.com/question/1330447
#SPJ1
George peels and eats 2 whole satsumas.
He then splits another satsuma into 6 equal segments and eats 1 of these segments.
How many satsumas does he eat in total?
Give your answer as an improper fraction.
The total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).
Given is that George peels and eats 2 whole satsumas. He then splits another satsuma into 6 equal segments and eats 1 of these segments.
The total number of satsumas eated by him can be written as -
2 + 1/6
2[tex]\frac{1}{6}[/tex]
Therefore, the total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
To solve more questions on fractions, visit the link below -
https://brainly.com/question/10354322
#SPJ1
DUE PLS HELP!! Kayla has $45 and wants to buy three shirts that are originally priced at $18 each. They are on sale for 20% off. After applying 5% tax, does Kayla have enough money to purchase the three shirts?
Complete each statement.
The cost of the shirts after the discount is $43.20.
A 5% tax adds an additional $2.16 so the total bill comes to 45.36.
Kayla does not have enough money to buy the three shirts.
Does Kayla have enough money to purchase the three shirts?The first step is to determine the total cost of the three shirts.
Total cost of the three shirts = cost of one shirt x total number of shirts
$18 x 3 = $54
Cost of the shirt after the sale = (1 - discount/100) x total cost of the shirt
(1 - 20/100) x $54
(1 - 0.2) x $54
= 0.8 x $54
= $43.20
Price after the tax : (1 + tax/100) x cost of the shirt after the discount
(1 + 5/100) x $43.20
(1 + 0.05) x $43.20
1.05 x $43.20 = 45.36
To learn more about tax, please check: https://brainly.com/question/16423331
#SPJ1
) Prompt the user to input an integer between 32 and 126, a float, a character, and a string, storing each into separate variables. Then, output those four values on a single line separated by a space. (Submit for 2 points).
Note: This zyLab outputs a newline after each user-input prompt. For convenience in the examples below, the user's input value is shown on the next line, but such values don't actually appear as output when the program runs.
The complete program is
intInput = int(input("Integer between 32 and 126: "))
floatInput = float(input("Float input: "))
charInput = input("Character input: ")[0]
strInput = input("String input: ")
print(intInput, floatInput, charInput, strInput)
How to write the programFrom the question, we have the following parameters:
Accept inputs of integer, float, character and stringPrint the inputs on a line separated by spaceThe program that does this is:
intInput = int(input("Integer between 32 and 126: "))
floatInput = float(input("Float input: "))
charInput = input("Character input: ")[0]
strInput = input("String input: ")
print(intInput, floatInput, charInput, strInput)
See attachment for complete program and the output of the program execution
Read more about programs at
https://brainly.com/question/20734416
#SPJ1
When the Bureau of Labor Statistics conducts a survey, it begins by partitioning the U.S. adult population into 2007 groups called primary sampling units. Assume that these primary sampling units all contain the same number of adults. If you randomly select one adult from each primary sampling unit, is the result a simple random sample? Why or why not? If it is not a simple random sample, what type of sample is it?
The method illustrated in this example is not a simple random sampling method. Instead, it is a two-stage cluster sampling method.
What is Probability and Non-Probability Sampling?It is not always possible to interview or survey an entire population. Therefore, in many research studies, a portion of the population that is expected to represent the population is drawn and surveyed instead. The portion that is drawn is called the sample, and the method used to draw the sample is called the sampling method. Broadly, there are two types of sampling methods. The probability sampling method is a method wherein all members of the population have an equal probability to be selected to be included in the sample. The non-probability sampling method is a method wherein not all members of the population have an equal probability to be selected to be included in the sample. Instead, members are recruited into the sample based on the researcher's subjective and personal judgment.
Simple Random Sampling Method:
Simple random sampling method, sometimes abbreviated as SRS, is the purest form of probability sampling. Figuratively, it is like putting the names of the entire population in a hat and drawing each member from the hat with a blindfold. Therefore, every member of the population has an equal chance of being included in the sample.
Two-stage Cluster Sampling Method:
In the first stage of a two-stage cluster sampling method, the population is first divided into subgroups called clusters. For instance, the population is divided into subgroups based on geographic location. Unlike strata in stratified sampling, clusters are heterogeneous and each cluster is supposed to represent the heterogeneity of the population. These clusters are also known as primary sampling units or PSUs. In the second stage, the simple random sampling method is used to draw individuals from each of the PSUs to be included in the study sample.
Hence, The method illustrated in this example is not a simple random sampling method. Instead, it is a two-stage cluster sampling method.
For more references on Probability and Non-Probability Sampling, click;
https://brainly.com/question/28016369
#SPJ1
Simisola wants to compare the time take
to make yoghurt at different temperature
List the variables she should control.
Yogurt production is affected by the production technological conditions.
What is yoghurt different temperature?Yogurt production is affected by the production technological conditions. Increase in the incubation temperature (42-45ᵒC) resulted to increase in the coagulation of the milk protein present (induced by thermophilic bacteria) and viscosity. This also resulted in increased acidity of the yoghurt.The temperature must be 108°F to 112°F for yogurt bacteria to grow properly. Too high a temperature inactivates bacteria; too low a temperature prohibits growth. Inhibitor substances such as detergent from dishes. Wash and rinse dishes well before making yogurt.Making yogurt at home is a fairly straight-forward process. Heat milk to 180F (82C), cool that milk to at least 110F (43C), add live cultures, usually in the form of yogurt with said cultures, incubate, then chill.There are several variables in the process, some of which are: The fat content of the milk (I typically use whole), how long to hold the milk during the initial heat step, how long it takes to cool the milk, the temperature of the incubation step, and the length of time for incubation, to name a few.To learn more about yoghurt different temperature refers to;
https://brainly.com/question/12963425
#SPJ1
If f(-5)=0, what are all the factors of the function f(x)=x^3-19x+30? Use the remainder Theorem.
The requried other factors of the given function are (x - 2) and (x - 3).
What is the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
= [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)
Thus, the requried other factors of the given function are (x - 2) and (x - 3).
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ1
4 out 18 students will ride in a car instead of a van
a local zoo has 900 pounds of bamboo to feed the giant panda. Each day, the giant panda eats 30 pound of bamboo. An accident happens and 125 pounds of the bamboo cannot be fed to the giant panda Determine the range of the number of days the zoo has more than 500 pounds of bamboo left.
The range of days to have 500 pounds left is 30 - 17.5 days
What is range?The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8
The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days
but due to accident 125 pounds are not good
Therefore the new pound of bamboo = 900- 125 = 875 pounds
The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds
therefore no of days on 375 pounds = 375/30 = 12.5
Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days
The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days
learn more about range from
https://brainly.com/question/28801359
#SPJ1
Brain Builders
Use the graph for Exercises 24 and 25.
24. Before leaving the grocery store, Kenny wrote the
y-coordinate first and the x-coordinate second when telling
his sister where to meet him. To his surprise, she was at
the right location. If his sister did not make an error, where
did the siblings meet? Explain how you know.
The siblings met at the point (4,7). This can be determined by looking at the graph and seeing that the point (4,7) is the only point with an x-coordinate of 4 and a y-coordinate of 7.
What is coordinate?Coordinate refers to the pair of numbers used to identify the position of a particular point on a graph, map, or other two-dimensional plane. Each coordinate consists of an x-coordinate and a y-coordinate that indicate the horizontal and vertical position of the point, respectively. Coordinates can be used to plot points, draw shapes, and determine distances between points. For example, the coordinates (4, 7) would tell you that the point is located four units to the right and seven units up from the origin point. Coordinates can also be used to describe the location of a point in three-dimensional space, with the addition of a z-coordinate.
To learn more about coordinate
https://brainly.com/question/28108706
#SPJ1
The ratio of men to women working for a company is 6 to 5 . If there are 105 women working for the company, what is the total number of employees?
Answer:
231 employees
Step-by-step explanation:
The ratio of men to women working for the company is 6 to 5, which means that for every 5 women working at the company, there are 6 men working at the company.
Since there are 105 women working at the company,
there are 6/5 * 105 = 126 men working at the company.
In total, there are 126 men + 105 women = 231 employees working for the company.
please help with all 3 questions
will give brainliest to whoever answers them all
Answer:
Question 1: 29
Question 2: 50
Question 3: AD≅BC
Step-by-step explanation:
question 1: Since it's a parallelogram opposite sides are equal.
4x+5=5x-1 add one to both sides
4x+6 =5x subtract 4x from both sides
6 = x
So AD is equal to 5(6) - 1 = 30-1 = 29=AD
Question 2: Since diagonals in a parallelogram bisect each other AE = EC
So...
5x+5 = 8x- 7 add 7 to both sides
5x+12 = 8x subtract 5x from both sides
12=3x divide both sides by 3
4=x
AC= 5(4) + 5 + 8(4) - 7
AC= 20 + 5 + 32 - 7
AC= 50
Question 3: Lines can only be congruent, represented by ≅, not equal which is represented by =. Values can be equal.
By using the elimination method you get the answer line AD ≅ line BC
Can anybody awnser the table for me!!
The table is completed as shown below and total earnings of Lori is found.
What exactly is total earnings of a person?
The wages paid for both regular working hours and other working hours, including extra work or tips are referred to as total earnings.
Consider Tuesday
Hours worked = 4
Base salary = 4 × 7 ( $7 per hour given)
= $28
Tips = 18% of food sales = 0.18 × 300 = $54
Total earnings on Tuesday = 28 + 54 = $82
In the similar way the table can be completed as below.
1) The total earnings of Lori for the week = 82+138.9+218.5+173 = $612.4
2) Total earnings in a year = 52 × 612.4 = $31844.8
To learn more about total earnings, follow the link.
https://brainly.com/question/28920245
#SPJ1
Geometry homework :/
The length of PZ is 7 units.
What is Centroid Property?According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the side midpoints.
Given:
As, Centroid is the point where all median of a Triangle intersect.
Here, we have centroid 'P'.
Now, using the property of Centroid that the Centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.
So, SP = 1/3 SZ => SZ = 3SP
and, PZ = 2/3 SZ => SZ = 3/2 PZ
Then, 3SP = 3/2 PZ
3(3.5) = 3/2 PZ
10.5 x 2 = 3 PZ
21 = 3PZ
PZ = 7 units
Learn more about centroid here:
https://brainly.com/question/10708357
#SPJ1
If anyone could and is good at angles please help? Thank you.
Answer:
A) Angle A. Angle EG.
B) Angle A and Angle F.
C) Angle EG and Angle D.
I hope this helped you!
This is an unusual question it isn't school related but I'm trying to reverse engineer a formula for WAR ( Baseball statistic) using the variables of OBP (.340) SLG (.430) league average OBP (.324) league average SLG (.413) plate appearances (600) and games played (150) the WAR after all that is an even 2.0 so I'm wondering if anyone on here could reverse engineer an equation using those variables to get 2 as an answer please and thank you
On her to her grandmothers house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?
She traveled 6.375 miles by train.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here as per question the formula is x × (4+3×4)=34
∴ x×16=34
x= 6.375
Hence, She traveled 6.375 miles by train.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ1
Pls, solve this equation with the steps u took. 30 POINTS! posted this for the 2nd time
Answer:
x=2/3
Step-by-step explanation:
when the three turned into a 2 it removed one third, so we need to remove one third from 1, which gives us 2/3.
Basically, if a rectangle side goes from x to y, we figure out the percent decrease, and subtract that percent from the other side to find the variable we need to find on the other rectangle
Evaluate each expression for x = 3 & y = 4
4. x² + 2(x+y)
5. (xy)^3
4х² - 3ху
4x -
Using the values for x and y and substituting these values in the expression of equations provided, The answer is 23 and 1728.
What do you mean by equations?An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.
What do you mean by substitution?When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.
x=3 and y=4
[tex]x^2 + 2(x+y)\\=3^2 + 2* (3+4)\\=9+2*7\\=9+14\\=23[/tex]
[tex](xy)^3\\=(3*4)^3\\=12^3\\=1728[/tex]
To learn more about equations visit:
brainly.com/question/29657983
#SPJ1
Fill in the blanks to write the solutions to the quadratic equation.Fill in the blanks to write the solutions to the quadratic equation.Fill in the blanks to write the solutions to the quadratic equation.Fill in the blanks to write the solutions to the quadratic equation.x^2+2x+10 = 0
The solution to the given quadratic equation is x = -1 + 3i OR x = -1 - 3i
Solving Quadratic equationsFrom the question, we are to solve the given quadratic equation
From the given information,
The quadratic equation is
x² + 2x + 10 = 0
Using the Quadratic formula,
x = [-b ± √(b² - 4ac)] / 2a
From the equation,
a = 1, b = 2, and c = 10
Then,
x = [-b ± √(b² - 4ac)] / 2a
x = [-(2) ± √((2)² - 4(1)(10))] / 2(1)
x = [-2 ± √(4 - 40)] / 2
x = [-2 ± √(-36)] / 2
x = [-2 ± -6i] / 2
x = -1 ± 3i
x = -1 + 3i OR x = -1 - 3i
Hence, the solution is x = -1 + 3i OR x = -1 - 3i
Learn more on Solving Quadratic equations here: https://brainly.com/question/8649555
#SPJ1
Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and has a mean of 50. Database B also has 40 entries made up equally of the values 49 and 51 and also has a mean of 50. Which database will have the smaller value for its standard deviation?
If we compare the given values then we can find that database B is more likely to have a smaller standard deviation.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.
While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Given that the values in database A are 0 from 100 and have a mean of 50 and Database B has entries from 49 to 51 and also has a mean of 50.
We are required to find the database whose standard deviation is lower.
Standard deviation measures the variation of values. It is calculated after finding the mean. The square of a standard deviation is known as a variance.
Database A has values from 0 to 100 and has a mean of 50. Because the values are somewhat very larger than 50 and database B has values from 49 to 51, there are more chances that the standard deviation of database B will have a smaller value than the standard deviation of database A.
Hence if we compare the given values then we can find that database B is more likely to have a smaller standard deviation.
Learn more about standard deviation at
brainly.com/question/475676
#SPJ1
hello i need help with questions 5 please thank you.
5a) The total cost of buying the car, priced at $32,000 with the harmonized sales tax (HST) of 13%, is $36,160.
5b) Through the lease, the customer saves $14,760.
5c) The lease options for the lessee after returning the car include:
Lease buyoutLease extensionNew lease contractBuying out the vehicle and then reselling it.6a) The after-tax cost of the Honda Civic is $32,199.35.
6b) The value of the vehicle that needs to be financed is $26,199.35.
6c) The monthly payment will be $567.26 for 4 years.
6d) After four years, the total amount paid for the vehicle is $33,228.48.
Financing Options:A lease is a financing option for the use of capital assets by which the lessee utilizes an asset for a stated period while making periodic payments to the lessor.
A car purchase can also be financed through loans, like home mortgages.
Value of the car = $32,000
Harmonized Sales Tax (HST) = 13%
Cost of the car with HST = $36,160 ($32,000 x 1.13)
Lease Arrangement:Down payment = $1,000
Financing part = $35,160 ($36,160 - $1,000)
Installment payments = 48
Periodic payments = $425
Total lease cost = $21,400 ($1,000 + 48 x $425)
Savings (advantages) from leasing = $14,760 ($36,160 - $21,400)
Jordan's Car:The value of the Honda Civic = $28,495
Harmonized Sales Tax (HST) = 13%
After-tax cost = $32,199.35 ($28,495 x 1.13)
Annual interest rate = 1.9% compounded monthly
Down payment = $6,000
Financing part = $26,199.35 ($32,199.35 -$6,000)
Financing period = 4 years
N (# of periods) = 48 months (4 years x 12)
I/Y (Interest per year) = 1.9%
PV (Present Value) = $26,199.35
FV (Future Value) = $0
P/Y (# of periods per year) = 12
C/Y (# of times interest compound per year) = 12
Results:
Monthly Payments (PMT) = $567.26
Sum of all periodic payments = $27,228.48
Total Interest $1,029.13
Total amount paid over 4 years = $33,228.48 ($27,228.48 + $6,000)
Learn more about Car Financing at https://brainly.com/question/28803707
#SPJ1
Imagine products you might create in a given amount of time: poems, baked goods, online videos, movie reviews, video game mods, scarves, drawings, or anything else you can picture yourself making as part of a small, one-person business. Choose and describe two such products. They will be product 1 and product 2
Producing written and visual content for social media can be divided into two items that can be developed as a one-person small business in a little amount of time.
What is social Media?Social media is internet communication that enables real-time information sharing and customer interaction. Social networking can help you: better connect with your audience. building online networks sell and publicise the goods and services you offer.
Social media's effects on business
The social media presence of businesses in order to boost visibility, engagement, positioning, and value creation for their intended audience has been facilitated by the digital revolution.
In order to help businesses establish their strategy in the digital environment, marketing and advertising agencies can quickly produce digital media such posters and catalogues in addition to advertising text as their core offerings.
Learn more about digital media here:
brainly.com/question/13868737
#SPJ1
Is the set of rational expressions closed under subtraction? Explain
P(x) /q(x) - r(x)/s(x) =
The set of rational expressions are closed under subtraction because the subtraction will result to a rational expression
What is a rational expression?The ratio of two polynomials is a rational expression.
A rational expression can be expressed in the form p/q, where p and q are polynomials,
Closure property of rational expression
According to the closure property, a - b is also a rational number for any pair of two rational numbers, a and b. The outcome is a rational number. Therefore, under subtraction, the rational numbers are closed.
In the polynomial subtraction
= P(x) /q(x) - r(x)/s(x)
= (P(x) * s(x) - r(x) * q(x)) / (q(x) * r(x))) also a rational number
Learn more about closure property of rational numbers at:
https://brainly.com/question/9353272
#SPJ1
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the perimeter of the right triangle shown
O 10 units
O 24 units
O 36 units
O 64 units
Answer:
A
Step-by-step explanation:
refer the sketch for step by step answer
The value of 1/2÷1/3=
my mom will kill me please help
If the perimeter of the triangle is 64 units, then the length of the side PR is 24 units.
What is a Triangle?This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.
The perimeter of a triangle is the sum of all the sides which is:
P = a + b + c
64 = 3x +4x - 1 + x + 1
64 = 8x
x = 64/8 = 8 units
Therefore the length of side PR is :
3x = 3 (8) = 24 units.
Read more about Perimeter of triangle here https://brainly.com/question/24299023
#SPJ1
Please help will mark Brainly
Answer: The solution to the system of equations is (1/3,-4/3).
Step-by-step explanation: Yes
a baker has 85 cups (c) of flour to make bread.she uses 6 1/4 c of flour for each loaf of bread
The baker can make 13 loafs of bread using 85 cups of flour using 6 1/4 c of flour for each loaf of bread.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A baker has 85 cups (c) of flour to make bread she uses 6 1/4 c of flour for each loaf of bread.
Now, The fraction 6 1/4 can be written as 25/4.
Therefore, The number of bread loaf the baker can make is,
= (85/25/4).
= 85×(4/25).
= (17×4)/5.
= 68/5.
= 65/5 + 3/5.
= 13 + 3/5.
So, he can make 13 bread loafs.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ1
The total cost (t) after 8% sales tax is added to an item's price (p): 1.08p= t
The total cost of the item after the sales tax of 8 % is given by the equation t = 1.08p , where p is the initial price of the item
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost price of the item be represented as t
Let the initial cost price of the item be represented as p
Now , the sales tax percentage = 8 %
So , the equation will be
The total cost price of the item t = sales tax percentage ( initial cost price of the item ) + initial cost price of the item
Substituting the values in the equation , we get
The total cost price of the item t = 8 % ( p ) + p
On simplifying the equation , we get
The total cost price of the item t = ( 8/100 ) p + p
The total cost price of the item t = 0.08p + p
The total cost price of the item t = 1.08p
Hence , the equation is t = 1.08p , where p is the initial price of the item
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
29. What is length of x?
Please explain this one too me since I did not understand it thanks
The value of x is 10 yards. The given shape is a trapezoid.
What are trigonometry ratios?
Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Draw a line parallel to the base.
Name the corner point of the shape.
Assume that ∠ADG = θ.
Consider △BDF:
BD = 6 + x
DF = 8 + 4.8 = 12.8 yrds.
The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.
cos θ = DF/BD
cos θ = 12.8 /(6+x) .....(i)
Consider △CDE:
cos θ = DE/CD
cos θ = 8/x .....(ii)
Now equate equations (i) and (ii):
12.8 /(6+x) = 8/x
Cross multiply:
12.8 × x = 8(6+x)
12.8x = 48 + 8x
12.8x - 8x = 48
4.8x = 48
Divide both sides by 4.8:
x = 48/4.8
x = 10
To learn more about cosine, click on the below link:
https://brainly.com/question/7173566
#SPJ1
The value of x is 10 yards. The given shape is a trapezoid.
What are trigonometry ratios?Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
Draw a line parallel to the base.
Name the corner point of the shape.
Assume that ∠ADG = θ.
Consider △BDF:
BD = 6 + x
DF = 8 + 4.8 = 12.8 yrds.
The cosine of an angle is the ratio of the base to the hypotenuse of the right-angle triangle.
cos θ = DF/BD
cos θ = 12.8 /(6+x) .....(i)
Consider △CDE:
cos θ = DE/CD
cos θ = 8/x .....(ii)
Now equate equations (i) and (ii):
12.8 /(6+x) = 8/x
Cross multiply:
12.8 × x = 8(6+x)
12.8x = 48 + 8x
12.8x - 8x = 48
4.8x = 48
Divide both sides by 4.8:
x = 48/4.8
x = 10
To learn more about cosine, click on the below link:
https://brainly.com/question/29114352
#SPJ1