Answer:
[tex]\begin{aligned}{&\cos \theta=\frac{10}{26} \\\bf{&\tan \theta=\frac{24}{10}}\end{aligned}[/tex]
Step-by-step explanation:
Since the angle is in the first quadrant, the values of all trigonometric functions are positive. Also. the formulas for the trigonometric functions we need to find from the problem are shown below:
[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\\tan \theta &=\frac{y}{x}\end{aligned}[/tex]
Based on the formulas listed, the value of y and r are y = 24 and r = 26 respectively. This means that in order to determine the value of the other functions, we need In compute for the value of x using the Pythagorean Theorem:
[tex]\begin{aligned}r^{2} &=x^{2}+y^{2} \\r^{2}-y^{2} &=x^{2}+y^{2}-y^{2} \quad\left[\text { \text{Subtracting \ both \ sides \ of \ the \ equation\ by} } y^{2}\right] \\r^{2}-y^{2} &=x^{2} \\\sqrt{r^{2}-y^{2}} &=\sqrt{x^{2}} \\\sqrt{r^{2}-y^{2}} &=x \\\sqrt{26^{2}-24^{2}} &=x \\10 &=x\end{aligned}[/tex]Then, substituting this to the formula to determine the answers yields:
[tex]\begin{aligned}\cos \theta &=\frac{x}{r} \\&=\frac{10}{26} \\\tan \theta &=\frac{y}{x} \\&=\frac{24}{10}\end{aligned}[/tex]
Therefore, the answers are:
[tex]\begin{aligned}&\cos \theta=\frac{10}{26} \\&\tan \theta=\frac{24}{10}\end{aligned}[/tex]
Answer:
See below
Step-by-step explanation:
We are here given that ,
[tex]\longrightarrow \sin\theta =\dfrac{24}{26}[/tex]
And we would like to find out other trigonometric ratios ( since it is not mentioned about which two I will find out all 6 ) . As we know that ,
[tex]\longrightarrow \sin\theta =\dfrac{perpendicular}{hypotenuse} =\dfrac{p}{h}[/tex]
So that ,
[tex]\longrightarrow \dfrac{p}{h} =\dfrac{24}{26}[/tex]
Let us assume the given ratio to be 24x : 26x .
So we can say that ,
hypotenuse = 26xperpendicular = 24xNow let's find out the value of base , so that we can find out the other ratios .
By Pythagoras Theorem ,
[tex]\longrightarrow (perpendicular) ^2+(base)^2=(hypotenuse) ^2[/tex]
Substitute the respective values ,
[tex]\longrightarrow (26x)^2=(24x)^2+b^2\\[/tex]
[tex]\longrightarrow 676x^2 = 576x^2+b^2\\ [/tex]
[tex]\longrightarrow b^2=100x^2\\[/tex]
[tex]\longrightarrow b =\sqrt{100x^2}\\[/tex]
[tex]\longrightarrow \boldsymbol{ b = 10x } [/tex]
Now we may find the other ratios as ,
[tex]\longrightarrow \cos\theta = \dfrac{base}{hypotenuse}=\dfrac{10x}{26x}=\boxed{\boldsymbol{\dfrac{5}{13}}}\\[/tex]
[tex]\longrightarrow \tan\theta =\dfrac{perpendicular}{base}=\dfrac{24x}{10x}=\boxed{\boldsymbol{\dfrac{12}{5}}}\\[/tex]
[tex]\longrightarrow \cosec\theta =\dfrac{hypotenuse}{perpendicular}=\dfrac{26x}{24x}=\boxed{\boldsymbol{\dfrac{13}{12}}}\\ [/tex]
[tex]\longrightarrow \sec\theta =\dfrac{hypotenuse}{base}=\dfrac{26x}{10x}=\boxed{\boldsymbol{\dfrac{13}{5}}} \\[/tex]
[tex]\longrightarrow \cot\theta =\dfrac{base}{perpendicular}=\dfrac{10x}{24x}=\boxed{\boldsymbol{\dfrac{5}{12}}} [/tex]
And we are done !
The graph of the function f(x) = x2 is shifted 2 units up and 1 unit to the right. Which of the following corresponds to the shifted graph?
Answer:
g(x) = (x - 1)^2 + 2.
Step-by-step explanation:
1 unit to the right x---> (x - 1)
2 units up ------ f(x) moves up ---> + 2
answer is (x - 1)^2 + 2
Examine the following piecewise function.
A graph formed of straight line segments between the following points: (negative 8, 3), (negative 2, 8), (2, 8), (3, 0), and (7, negative 7).
© 2018 StrongMind. Created using GeoGebra.
Which statements are true?
Select all that apply.
1.The function is increasing over the interval 2≤x≤3
2.The function is increasing over the interval 2≤x≤3.
3.The function is increasing over the interval −8≤x≤−2.
4.The function is increasing over the interval −8≤x≤−2.
By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:
"The function is increasing over the interval −8≤x≤−2."
Which statements are true?We know that our function is made of straight lines that connect:
Point (-8, 3) with (-2, 8) {This is an increasing line}Point (-2, 8) with (2, 8) {This is a horizontal line}Point (3, 0), and (7, -7) {This is a decreasing line}(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).
Then the statement that is true is:
3) "The function is increasing over the interval −8≤x≤−2."
If you want to learn more about piecewise functions, you can read:
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7/16 = ___% ai need it step by step
Answer:
43.75%
Step-by-step explanation:
Step 1: Divide 7 by 16 to get the number as a decimal. 7 / 16 = 0.44
Step 2: Multiply 0.44 by 100. 0.44 times 100 = 43.75. That's all there is to it!
What can you discern about the nature of work on miguel street based on your close reading of the first chapter
The context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry.
What are context clues?Context clues are the hints that are given in a literary work. They're important for readers to understand a story.
In this case, the context clues show that the nature of work on miguel street based on your close reading of the first chapter is carpentry. This was illustrated by Popo who was a carpenter.
Learn more about context clues on:
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The context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry.
What context clues?Context clues are the hints that are given in a literary work. They're important for readers to understand a story.
In this case, the context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry. This was illustrated by Popo who was a carpenter.
Learn more about context clues on:
brainly.com/question/26349330
#SPJ4
What is the area of this polygon?
Enter your answer in the box.
7.7 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 115 cm3.
The height of the water bottle is 7.7 cm. What is
the radius of the water bottle? Use 3.14 for r.
Step-by-step explanation:
I guess the 3.14 is to be used for pi (and not r, which is what we need to find out).
the volume of a cylinder is ground area × height.
the ground area is the area of a circle, which is pi×r².
so, we have
pi×r²×height = 115 cm³
3.14×r²×7.7 = 115 cm³
3.14×r² = 14.93506494...
r² = 4.756390107...
r = 2.18091497... cm
Which statements are correct about the two-way frequency table? check all that apply.
The table displays the quantitative data, two teachers do not wear glasses, and a total of 6 teachers were polled. Then the correct option is A, C, and E.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The table is shown below.
Wear glasses Don't wear glasses Total
Student 32 97 129
Teacher 4 2 6
Total 36 99 135
The table displays the quantitative data.
Two teachers do not wear glasses.
A total of 6 teachers were polled.
More about the decision-making link is given below.
https://brainly.com/question/3369578
Answer: The Answer is B and E
Step-by-step explanation:
heres another one of those impossible looking problems for another chance for a brainly no links please
Answer:
B. X=6 onlyStep-by-step explanation:
Isolate the term of x from one side of the equation.
[tex]\sf{\sqrt{2x-3}=x-3}[/tex]
2x-3=x²-6x+9
Solve.
[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]
Therefore, the solution is x=6, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
determine the common factors and HCF for each of the following terms
1) Зw, 5w
2)5bc ,2c², 3cd
3)4a² b, 8b² c ,6bcd
PLS HELP
1) For the term 3w, 5w, the HCF is "w" since it is common for both terms
2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"
3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.
Common factors and HCF of valuesThe HCF is the smallest value that can divide a set of values without leaving a remainder.
Given the following terms, we are to find their HCF's
1) For the term 3w, 5w, the HCF is "w" since it is common for both terms
2) For the terms 5bc ,2c², 3cd, the only common term is "c" hence the HCF of the terms will be "c"
3) For the set 4a² b, 8b² c ,6bcd, the HCF of the term is 2 since that is the only common value of the terms.
Laern more on HCF here: https://brainly.com/question/21504246
F(x)=2x^3-3x^2+7
F(-1)=_____
F(1)=_____
F(2)=_____
Answer:
f(-1)=2(-1)³-3(-1)²+7 = 2
f(1)=2(1)³-3(1)²+7 = 6
f(2)=2(2)³-3(2)²+7 = 11
Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal’s credit scores? (Round to the nearest whole point, if applicable. ) a. 736 b. 728 c. 723 d. There is no mode in this group.
The Halls credit score is 2186.
We have given that,he experian score =711
his equifax score =736
his trans union score =736
What is the meaning of Hals score?
Hals credit score = sum of all score.
Hals credit score = sum of all score.
=711+736+736
=2186
Therefore, the Halls credit score is 2186.
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Answer:Answer is A
Step-by-step explanation:grandma told me
solve equation find x 6x+6=10x-2
Answer:
[tex] \sf \: x = 2[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
[tex] \sf 6x+6=10x−2 [/tex]
Step 1: Subtract 10x from both sides.
[tex] \sf6x+6−10x=10x−2−10x[/tex]
[tex] \sf−4x+6=−2[/tex]
Step 2: Subtract 6 from both sides.
[tex] \sf−4x+6−6=−2−6[/tex]
[tex] \sf−4x=−8[/tex]
Step 3: Divide both sides by -4.
[tex] \sf \frac{−4x}{−4}=\frac{−8}{−4}[/tex]
[tex] \sf x=2[/tex]
Plisss help with this oneeee
Answer:
y = 1/2 x - 5
Step-by-step explanation:
use the equation y=mx+b where m= the slope of the line and b=the slope-intercept (the point where the line crosses the y axis)
the slope is 1/2 and the slope-intercept is -5
Answer:
y=1/2x-5
Step-by-step explanation:
grad=change in y/change in x
=(-4--5)
----------
(2-0)
=1/2
G=0.5
0.5=y--5
------
x-0
0.5 (x-0)=y+5
0.5x=y+5
-y= -0.5x+5
y=1/2x-5
5 pounds=. Ounces
I need helppp
Work Shown:
1 pound = 16 ounces
5*(1 pound) = 5*(16 ounces)
5 pounds = 80 ounces
The population of Atlanta Georgia in the year 2000 was 417,000 people. If the population increases at a rate of 1.2% each year, find the approximate population of Atlanta in
2020.
Step-by-step explanation:
geometric sequence :
a0 = 417,000
a1 = a0 × 1.012 (that is adding 1.2% for 2001)
a2 = a1 × 1.012 = a0 × 1.012²
an = a0 × 1.012^n
a20 (for the year 2020 after starting in 2000) =
= a0 × 1.012²⁰ = 417,000 × 1.012²⁰ = 529,354.1291...
if we need to round that to a full number, we get
≈ 529,534
our round it to full thousands
≈ 530,000
i don't know what result format you need. please pick the required one.
What is the slope of this line whose equation is y=1/6x-1/2
Answer:
The slope = 1/6.
Step-by-step explanation:
The general form for a straight line is
y = mx + c where m is the slope
So in this case m = 1/6.
Scale factor word problem
Someone please help me!
1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.
How many centimeters will there be between his house and school on the map?
1 cm = 5km
8.5 ÷ 5 = 1.7
There will be 1.7 centimeters between his house and school.
The prism below is made of cubes which measure of 1/2 a foot on one side. What is the volume?
Distance time and speed
Simplify
1/3 + 4/x-2 = 6
Answer:
1/3+4/x-2=6
Step-by-step explanation:
your is answer 6
Dr. Bayer measured the masses of newborn twins. Baby A weighs 2.8 kilograms. Baby B weighs 2,950 grams. What is the difference between the masses of these newborn twins in grams? OPTIONS
Convert 2.8 kilograms into 2800 grams.
Baby A weighs 2800 grams, baby B weighs 2950 grams -> The difference between the masses = 2950 - 2800 = 150 grams.
Problem What is the volume of a cylinder with base radius 4 and height 7?
Answer:
351.86
Step-by-step explanation:
V = π r² h
V = (3.14) (4)² (7)
V = (3.14) (16) (7)
V = 351.86
A bag contains 60 marbles that are red, blue, and green. The ratio of red to blue marbles is 13:3, and the ratio of blue to green marbles is 3:4, If 3 marbles are removed and replaced with 3 green marbles, what will be the new ratio of red to green marbles?
I'm Confused can someone help?
Answer: 6:4
Step-by-step explanation: The total of marbles doesn't change just the green total total.
Answer:
3 marbles of what are removed (green red or blue)
Step-by-step explanation:
60 marbles=red+blue+green
red:blue
(13 : 3)
blue:green
( 3 : 4)
red:blue:green
13 : 3 : 4
13/20×60=39 red marbles
3/20 × 60=9 blue marbles
4/20× 60= 12 green marbles
60-3
=57
x-3
If ∠QSR≅∠QST and QT=65, what is QR?
Answer:
it would also be 65 degrees because the angles match up and because the statement says that both angles are congruent.
Answer:
QR would equal 65
Step-by-step explanation:
It is 65 because if you look at QSR = QST, this tells you that QT and QR are equal to eachother. :)
Hope this helps!!
Have a wonderful day!!
Please rate and mark brainliest!!
Cooper is throwing a dinner party. He says about 67 people are coming to the party. He is paying a company to make the food, and they said each person would cost about $15. To add drinks, each person would cost $3. How much money will Cooper be spending for food and drinks at his party if you round the number of people to the nearest tenth digit? What is a way you can solve this estimation problem? Select all that apply.
Round the $15 to $20, the $3 to $5 and the 67 to 70 before you do anything else.
Round the 67 to 70, add the $15 and the $3 and then multiply the 2 answers.
Round 67 to 70. Multiply 70 by 15 and 70 by 3 and then add the answers.
Add the amount for food and drinks then multiply by how many people there are.
Answer:
Round the 67 to 70, add the $15 and the $3 and then multiply the 2 answers.
Round 67 to 70. Multiply 70 by 15 and 70 by 3 and then add the answers.
Step-by-step explanation:
you get the same answer both ways.
HELP WILL MARK BRAINIEST!!!
For each of the following two quantities in Problems 1-4, which has the greater
magnitude?
2.-14 feet and 23 feet
Answer:
23 feet
Step-by-step explanation:
The absolute value of -14 is fourteen.
The absolute value of 23 is twenty-three
23>14
Which value is equivalent to the expression 3^2 × 3^3?
Answer:
243
Step-by-step explanation:
3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243
Which of the following is NOT a unit fraction? 7/11 1/16 1/50 1/2
Answer:
7/11
Step-by-step explanation:
This is the only fraction without a 1 in its numerator.
Answer:7/11
Step-by-step explanation: unit fractions have 1 unit like 1/2 1/3 1/100 but 7/11 is not have 1 numerator
A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below. What is the experimental probability of selecting red, or green?
Answer:
100%
Step-by-step explanation:
There is no table, but if there is only a green or red in the bag, then the probability of selecting a green or a red is 100%.
A pupil who scored 50 in his paper 1
exam got ill and missed paper 2.
use the line of best fit to predict what
his paper 2 mark could have been.
The graph of the pupil's score is an illustration of scatter plots
The student's expected score in paper 2 is 62
How to predict the score in the missed paperTo predict the score of the pupil in the missed paper, we simply interpret the points on the line of best fit of the scatter plot
From the graph (see attachment), we have:
Paper 2 = 62 when Paper 1 = 50
This means that the student's expected score in paper 2 is 62
Read more about scatter plots at:
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