Answer:
[tex]\sqrt{34} } =5.83[/tex]
Step-by-step explanation:
[tex]D=\sqrt{5^{2} +3^{2} } =\sqrt{34}[/tex]
What word from algebra refers to the steepness of a line or segment?
Answer: Slope
Step-by-step explanation:
Answer:
slope
Step-by-step explanation:
At Bobby's Laundromat, the circular opening of a washing machine has a radius of 1 foot. What is the opening's diameter?
the formula for a circular diameter is 2r ( 2 times radius)
so 2*1=2
Rafa has $6,450 in his savings account. if the bank pays 3.7% interest per year on savings, how much interest does he need to earn in one year
The amount of interest that Rafa earns in one year, given the amount in the savings account and the interest is $ 238. 65 .
How to find the amount earned ?The amount earned by Rafa in one year can be found by the formula :
= Amount in savings account x Interest per year
Amount in savings account = $ 6, 450
Interest per year = 3. 7 %
The amount earned by Rafa for the year is therefore :
= 6, 450 x 3. 7 %
= $ 238. 65
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What is the possible factors of the given number or expression of 8?
So on solving the provided question we can say that factors 8 = 1,2,4,8; factor 50 = 1,2,5,10,5,25,50
what is prime factor?Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.
factors 8 = 1,2,4,8
factor 50 = 1,2,5,10,5,25,50
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To get from one side of the pond to the other you must walk 34 meters south and 41 meters east to the nearest meter how many less meters would it take if it were possible to go directly across the pond
What is the value of the expression?
5 3/5 + 7 1/0 − 2 2/3
Enter your answer as a mixed number in simplest form by filling in the boxes.
The value of the given expression, 5 3/5 + 7 1/10 - 2 2/3, is 10 1/3
Simplifying an expressionFrom the question, we are to simplify the given expression.
The given expression is
5 3/5 + 7 1/10 - 2 2/3
To solve the given expression, we would convert each of the fractions to an improper fraction
Convert the fractions to improper fractions
28/5 + 71/10 - 8/3
Find the LCM of the denominators
LCM of the denominators = 30
Thus,
(168 + 213 - 80) / 30
301/30
10 1/3
Hence, the simplified form of the expression 10 1/3
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In a computer catalog,the diagonal distance of computer monitor screen is labeled as 21 inches.if the screen measures 14 inches in height, waht us the width of the screen?
The width of the screen is 15.65 inches
What is the width?The diagonal , the width and the height form a right angle. A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle.
The width can be determined using Pythagoras theorem
The Pythagoras theorem: a² + b² = c²
where:
a = lengthb = basec = hypotenuse14² + b = 21²
b = 21² - 14²
b² = 441 - 196
b² = 245
b = √245
b = 15.65 inches
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please help me solve this urgently.
Answer:
2.5 or 3.5
Step-by-step explanation:
You have an x-cm square and a rectangle ℓ cm by 3 cm. Together, they have a total perimeter of 32 cm. You want the length ℓ and the area S in terms of x, and you want to know the values of x that make the area be 30.25 cm².
(i) Wire lengthThe length of the wire is 32 cm. This is the sum of the perimeters of the square and the rectangle.
P = 4s +2(l+w)
32 = 4x + 2(ℓ +3) . . . . . . . . substitute given values
(ii) Rectangle lengthSolving the equation for ℓ, we have ...
16 = 2x +ℓ +3 . . . . . . . . . divide by 2
ℓ = 13 -2x . . . . . . . . . . . subtract 3+2x
(iii) Total areaThe total area of the two figures is the sum of the area of the square and that of the rectangle:
S = x² +3ℓ
S = x² +3(13 -2x) . . . . . . substitute for ℓ
S = x² -6x +39 . . . . . . . simplify
(iv) Value of xFor an area of 30.25 cm, we require ...
30.25 = x² -6x +39
-8.75 = x² -6x . . . . . . . . . . subtract 39
0.25 = x² -6x +9 . . . . . . . complete the square
±0.5 = x -3 . . . . . . . . . . . . take the square root
x = 3 ± 0.5 = {2.5, 3.5}
The total area is 30.25 cm² for x = 2.5 or x = 3.5.
<95141404393>
A. The slope of m is −25.
B. The slope of q is −52.
C. The slope of n is 25.
D. The slope of p is −52. Which statements are true?
how do i solve this? they dont make it clear on here
Since opposite sides of equal angles in a triangle are equal, segment AP is segment PE.
Explain circle theorems?Circle theorems are a set of results in geometry that relate to properties of circles. There are several important circle theorems, including:
The Angle in a Semi-Circle is a Right Angle: The angle formed by a chord and a tangent to a circle at the point of tangency is a right angle.The Angle at the Centre is Twice the Angle at the Circumference: If two lines from a point on the circumference of a circle to the center of the circle are extended to intersect, the angle at the center is twice the angle at the circumference.Equal Chords are Equidistant from the Centre: If two chords of a circle are equal in length, they are equidistant from the center of the circle.Cyclic Quadrilaterals: If a quadrilateral can be inscribed in a circle, then its opposite angles add up to 180 degrees.Chord-Chord Angle: If two chords in a circle intersect, then the measure of the angle formed by the chords is half the measure of the arcs intercepted by the angle.According to question it has been established that a tangent PA exists between the points P and O.
When given, EAF BAE a°
A plus B Equals mPAE
AEP = BAE + ABE = a + b°
An outside view of ABE is [AEP].
In ΔPAE,
When given, EAF BAE a°
A plus B Equals mPAE
AEP = BAE + ABE = a + b°
An outside view of ABE is [AEP].
In ΔPAE,
(a + b)° PAE PEA
Since opposite sides of equal angles in a triangle are equal, segment AP is segment PE.
so proved.
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How do you dilate from 2cm to 10cm?
Drawing 2 cm 5 times in a straight line will give us a 10 cm line segment after dilation.
What is Dilation ?Dilation is the process of increasing an object's size without altering its form. Depending on the scale factor, the object's size may rise or shrink. A square of side 5 units can be widened to a square of side 15 units using dilation math, but the square's form doesn't change.
A dilation is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is a positive real integer. Such a dilatation is a resemblance of the space in Euclidean space.
Meaning of Dilation in Math. Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.
To dilate 2 cm to 10 cm we need to scale 2 cm 5 times
so drawing 2 cm 5 times in a straight line will give us a 10 cm line segment.
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Aaron's car gets an average of 15 miles to the gallon in the city, and he pays an average of $1.09 per gallon of gas. He drives 10.5 miles round-trip 22 days a month for work. Aaron pays $79 per month to park his car in an underground garage. If you include his monthly gasoline cost, what is his average daily cost (22 days per month) of driving his car to work?
The average daily cost of Aaron of driving his car to work is $5.1169.
What is Average Cost?Average cost is calculated by dividing the total cost by the total output quantity.
Miles for a round trip for 1 day = 10.5 miles
Since it is round trip, total miles for 1 day = 10.5 × 2 = 21 miles
Miles for a round trip for 22 days = 21 × 22 = 462 miles
Gallons for 15 miles = 1 gallon
Gallons for 1 mile = 1/15 gallons
Gallons for 462 miles = 30.8 gallons
Cost per gallon = $1.09
Cost for 30.8 gallons = 30.8 × 1.09 = $33.572
Payment for car parking = $79
Total cost per month = $33.572 + $79 = $112.572
Average daily cost = $112.572 / 22 = $5.1169
Hence the average cost per day is $5.1169.
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What is a loop describe its function and importance?
A loop is a programming construct that allows a set of instructions to be repeated until a certain condition is met.
What is function?Function is a relation between input and output values, where each input is related to exactly one output. A function is a mathematical rule that assigns a unique output to each input. It is a process that produces a specific result from given inputs. Functions are used in many areas of mathematics, including algebra, calculus and geometry.
The loop can be used to execute a set of instructions multiple times, or it can be used to iterate over a collection of items such as an array. Loops are an important part of programming, as they allow for efficient and concise code.
Loops are especially useful when it comes to dealing with large datasets. For example, if you wanted to loop through an array of 100 elements, you could do so by writing a single loop statement. This allows you to quickly and easily process large amounts of data without having to write separate instructions for each element. Similarly, loops can be used to iterate over a collection of items such as a linked list or a hash table, making it easier to deal with complex data structures.
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HELP ME SOMEONE QUICK
Answer:
<abc is 30*
<fde is 60*
Step-by-step explanation:
Hope this helps!
What is the value of x in the triangle? a 45-45-90 triangle with leg length 7 and hypotenuse length x a. B. C. D.
The value of x in the given 45-45-90 triangle is 9.89.
The given triangle is a right-angled triangle which can be solved using the Pythagoras theorem. The Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the base and the square of the perpendicular. This theorem can be applied to all right-angled triangles.
In the given triangle, we have been told that the length of both legs is 7. Now, after applying the theorem -
= 7²+7² = H²
= 49 + 49 = H²
= 98 = H²
= √98 = H
= 9.89 = H
Hence, this is the value of x.
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Mr. Ko buys water bottles for a class trip. He needs 20 water bottles, and he buys them in packs of 8. If Mr. Ko buys 2 packs, how many water bottles will he get? Number of packs Number of water bottles 1 8 2
Answer:
He will get 16 bottles if he buys 2 packs and he will need 4 more to get 20.
Step-by-step explanation:
He buys 2 packs of 8 2x8=16 if he wants all 20 he will need to get 3 packs 3x8=24. 20-16=4 he will need 2.5 packs to get the amount he wants. 2.5x8=20
Four more than the quotient of a number and 6 equals 8
When a number is four greater than its quotient and 6 plus 8 is 18, the number is 18.
what is expression ?You can multiply, divide, add, or take something away in mathematics. An expression is put together as follows: Expression, numeric value, and math operator A mathematical expression is composed of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Contrasting phrases and expressions is possible. An algebraic expression is any mathematical statement that has variables, numbers, and an arithmetic operation. As an illustration, the phrase 4m + 5 consists of the terms 4m and 5, as well as the given equation's variable m, all of which are separated by the arithmetic sign +.
given
A number's n/6 quotient and six (n/6) + 5 five greater than the quotient
(n/6) + 5 = 8
(n/6) + 3 (n/6)
= 18
When a number is four greater than its quotient and 6 plus 8 is 18, the number is 18.
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HELP PLEASE ASAP!!!!
Answer: H
Step-by-step explanation:
x<19
A trapezoid was broken into two congruent triangles and a rectangle. What is the base length, b, of one of the triangles? 3 cm 4 cm 6 cm 7 cm.
One of the triangles' base length, b, is 3 cm. Thus, the correct answer is A.
Two congruent triangles and a rectangle were formed from the trapezoid. The two triangles are 12 cm in height. The rectangle is 12 cm in height, 14 cm in width and the base side is 20 cm. It's worth noting that a congruent triangle has the same three sides and three angles.
The triangle's base length may be calculated as follows:
Triangle area : 1/2 × base × heightThe sides of the triangle may be calculated using the area of the trapezoid:
Trapezoid area : 1/2 × (a + b)hWhere:
a : the top sideb : base sideh : heightHence:
Trapezoid area : 1/2 × (a + b)hTrapezoid area : 1/2 × (14 + 20)12Trapezoid area : 1/2 × 34 × 12Trapezoid area : 34 × 6Trapezoid area : 204 cm²We know that the height of the triangles is 12 cm and the area of the trapezoid is 204 cm². The area of the rectangle is also given as 14 cm x 12 cm = 168 cm². This information may be used to construct the equation:
204 = 2(1/2bh) + (14 x 12)Solving for b, we get:
204 = 12b + 16812b = 36b = 36/12 b = 3 cmTherefore, the base length of the triangle is 3 cm, and the correct answer is A.
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Answer:
A
Step-by-step explanation:
a
A jet plane has 160,000 pounds of fuel after the first hour of flight. The four engines consume a total of 14,000 pounds per hour at its cruising altitude. How many pounds of fuel remain after the 9th hour?.
The fuel remain after the 9th hour is 48,000 pounds. The result is obtained by subtracting the amount of fuel consumed by four engines for 8 hours from the amount of fuel after the first hour.
How to count the fuel remain?A simple way to count the fuel remain is subtracting the amount of fuel consumed from the amount of initial fuel.
We have
160,000 pounds of fuel after the 1st hour of flight.Fuel consumed for 4 engines = 14,000 pounds per hour.Find the fuel remain after the 9th hour of flight!
From 1st hour to 9th hour of flight, the time duration is
= 9 - 1
= 8 hours
The fuel remain would be
= 160,000 pounds - (14,000 pounds /hour × 8 hours)
= 160,000 pounds - 112,000 pounds
= 48,000 pounds
Hence, after the 9th hour of flight, the fuel is 48,000 pounds.
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f\left(x\right)=2\left(x\right)^{2}+5\sqrt{\left(x+2\right)}
The graph of the function is attached. The given function has no solution.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the function as -
[tex]f\left(x\right)=2\left(x\right)^{2}+5\sqrt{\left(x+2\right)}[/tex]
The given function is -
[tex]f\left(x\right)=2\left(x\right)^{2}+5\sqrt{\left(x+2\right)}[/tex]
The graph of the function is attached. The given equation has no solution.
Therefore, the graph of the function is attached. The given function has no solution.
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What is the solution to the following system of equations y X² 10x 11 y X² x 7?
The solution to the equation is x = -2.
A system of linear equations can be solved graphically, by substitution, elimination, and by the use of matrices.
The system of equations is given as:
y = x² + 10x + 11
y = x² + x − 7
Equate both equations and we get,
⇒ x² + 10x + 11 = x² + x - 7
Subtract x² from both sides
⇒ 10x + 11 = x - 7
Collect like terms
⇒ 10x - x = -11 - 7
Evaluate the difference and we get
⇒ 9x = -18
Divide both sides by 9
∴x = -2
Hence, the solution to the equation is x = -2.
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What are the two 2 coordinate system in AutoCAD?
AutoCAD uses two different coordinate systems. Your working plane's angle is determined by the World Coordinate System (WCS) and User Coordinate System (UCS).
In order to guarantee that everything lines up with the center of a file in a real-world location, the WCS should always be utilized as the geometry reference. The screen can be oriented to a location using the UCS. The file originated from the WCS. The WCS can't be moved from its current location.
Drawing elements will use the rotating coordinate system if a user coordinate system is set, however, the WCS can always be changed. A "User Coordinate System" (UCS) specifies the angle of the XY plane in which you are operating. The XY plane is rotated when a user coordinate system is defined, making it easier to work with alternative orientations.
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Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made
3
4
of a sketch
If Lori made a fraction of 3/4 of a sketch, she spent 9 minutes sketching.
What is fraction?A portion of something is called a fraction. When the numerator and denominator are divided, a number is represented mathematically as a quotient. In a simple fraction, both are integers. A complex fraction contains a fraction in either the numerator or denominator. In a proper fraction, the numerator is smaller than the denominator.
Given the equation
m = 12s,
where
m is the number of minutes, and
s is the number of sketches.
Lori made 3/4 of a sketch i.e.
m = 12(3/4)
m = 9 mins
Thus, If Lori made 3/4 of a sketch, she spent 9 minutes sketching.
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Full question:-
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made 3/4 of a sketch, she spent ____ minutes sketching.
((16526+828929)÷82727)×0
need step by step explanation
The value of the equation A = ( ( 16526 + 828929 ) ÷ 82727 ) × 0 is A = 0
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 equation be represented as A
Now , the value of A is
A = ( ( 16526 + 828929 ) ÷ 82727 ) × 0 be equation (1)
On simplifying the equation , we get
A = ( 8,45,455 ÷ 82727 ) × 0
On further simplification , we get
A = 10.219819405 x 0
Any number multiplied by the number 0 will result in 0
Therefore , the value of A = 0
Hence , the equation is A = 0
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What is length of scale formula?
The length of a scale formula refers to the mathematical relationship used to determine the length of a scaled representation of an object or image.
What is length of scale formula?We’ll use the formula Scale factor = Dimension of the new shape Dimension of the old shape. Dimension of the new form = Scale factor Dimension of the original shape is how this is expressed. We obtain Dimension of the new form = 7 after inserting the specified numbers.
In dimensional analysis, length scales are generally the operative scale (or at least one of the scales). In scattering theory, for example, the most frequent number to compute is a cross section, which has length squared units and is measured in barns. Typically, the cross section of a particular process equals the square of the length scale.
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How do you enlarge a shape by scale factor 3 centre?
Enlarge the shape by scale factor 3.
How can you increase a form by scaling it by 3?To expand a form, multiply all of its lengths by the scaling factor. The scale factor indicates how much larger the shape will be. For example, increasing a form by a scale factor of two means that all of its sides will be twice as long. This rectangle measures one square broad by two squares long.
To employ a center of enlargement, we must draw lines from the center of enlargement to the original shape’s vertices. These are known as ray lines. E.g. Triangle ABC has been expanded by a scale factor of 2 around an expansion point O.
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How do the graphs of f(x)=2x+1, and g(x)=2(x+3) + 1 compare?
A. The graph of g is the graph of f translated 3 units left.
B. The graph of g is the graph of f translated 3 u it’s up
C. The graph of g is the graph of f translated 3 units right
D. The graph of g is the graph of f translated 3 units down
(the answer is A I just need an explanation to why in order to show my work)
Based on the graphs of the functions f(x) = 2x + 1, and g(x) = 2(x + 3) + 1, a statement which correctly compares the graphs include the following: A. The graph of g is the graph of f translated 3 units left.
What is a translation?In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function.
On the other hand, a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.
Mathematically, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.Translating the graph of function f, we have:
g(x) = f(x + N)
g(x) = 2(x + 3) + 1
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Use a trigonometric ratio to solve for a. Round to two decimal places as necessary!!
HELP, and can someone explain how to get the answer?
What is the end behavior of the graph of f x x5 8x4 16x3 brainly?
The end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 is that it increases without bound as x approaches positive and negative infinity.
The end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 can be determined by examining the degree and leading coefficient of the polynomial. The degree of the polynomial is 5, which indicates that the graph increases without bound as x approaches positive and negative infinity. The leading coefficient of the polynomial is 1, which indicates that the graph increases as x approaches positive and negative infinity.
To illustrate this, let's consider the value of f(x) for increasingly large values of x. For x = 10, f(x) = 10^5 + 8(10^4) + 16(10^3) = 1,000,000 + 80,000 + 160,000 = 1,240,000. As x continues to increase, the value of f(x) continues to increase without bound as the terms of the polynomial become increasingly larger.
Similarly, for x = -10, f(x) = (-10)^5 + 8((-10)^4) + 16((-10)^3) = -1,000,000 + 80,000 - 160,000 = -980,000. As x continues to decrease, the value of f(x) continues to decrease without bound as the terms of the polynomial become increasingly larger.
Thus, the end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 is that it increases without bound as x approaches positive and negative infinity.
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