find the missing side of the right triangle.

Find The Missing Side Of The Right Triangle.

Answers

Answer 1

Answer :

10.63

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

The Base is 7

The Perpendicular 8

The Hypotenuse is x.

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}= (7) {}^{2} + (8 {)}^{2} }}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=49 +64}}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=113 }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x= \sqrt{113} }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x \approx10.63 }}} \\ [/tex]

Therefore,

The measure of the third side (x) is 10.63

Related Questions

Select the diagram showing a pair of alternate interior angles:

Answers

The orange one is an example of alternate interior angles.

sum1 please help me!
The next model of a sports car will cost 11.9% more than the current model. The current model costs $56,000. How much will the price increase in dollars? What will be the price of the next model?

Increase in price:

Price of next model:

Answers

Answer:

increase in price = $6664

price of next model = $56664

Step-by-step explanation:

(11.9 ÷ 100 ) x 56000 = $6664

56000 + 6664 = $56664

If you are in a great deal of debt but want to save for an emergency fund, you should

Save for the fund while paying down your debt

pay down your debt first

consider getting a second job to pay down your debt first

consider getting a second job, and save that job's money, and then pay down your debt

Answers

Answer:

option number 4 seems sensible!

Can anyone help out with this?? Girl need sum help. Its angles. :D

Answers

Answer:

12.8

Step-by-step explanation:

[tex]a^{2} + b ^{2} = c^{2} [/tex]

100+64=c^2

164=c^2

12.8=c

A teacher administers three different versions of a test to his students The two-way table shows the results.

Find the probability of the event below using the formula for conditional probability. Round your answer to the nearest tenth.

P(pass | Test A)

The probability is ____%
SHOW ALL WORK

Answers

The P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Part A:

Total number of students = 154

Total number of students passed the test = 49

The probability:

P(pass | Test A) = 49/154 = 31.81%

Part B:

Total number of students = 154

Total number of students passed the test = 46

The probability:

P(pass | Test B) = 46/154 = 29.87%

Thus, the P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%.

Learn more about the probability here:

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Answer:

87.5%

Step-by-step explanation:

add the number of students who took test A (49+7=56)

take the number of students who passed test A and divide it by the number of students who took the test A

49÷56=.875= 87.5%

I need help with the last question is it


per _______

What???

Month
Orrr


And explain why because you better be freakin right

Answers

Answer: Month

Step-by-step explanation: x represents the number of months, and because the equation is for number of clients per something, it would be month. I hope that helps!

8) The function f(t)=12(1.8) represents the number of rabbits in a forest after t years.
a) Does the function represent exponential growth or exponential decay?
b) Graph the function on a calculator. Describe the domain and range.
c) What is the yearly percent change?
d) How many rabbits are in the forest after 8 years?

Answers

the correct answer is : b

Which of the following is a solution to 2sin^2x+sinx-1=0?
A. 45 degrees
B. 200 degrees
C. 240 degrees
D. 270 degrees
E. 330 degrees

Answers

Answer

[tex]x = \frac{\pi }{6} + 2\pi n, \frac{5\pi }{6} + 2\pi n, \frac{3\pi }{2} + 2\pi n[/tex], for any integer n

Answer:

D or 270°

Step-by-step explanation:

2sin^2x+sinx-1

2sin^2(270°)+sin(270°)-1=0

Write the slope-intercept form of the equation of the line through the given points.
through: (0,4) and (5,-2

Answers

Answer:

Step-by-step explanation:

(-2-4)/(5-0)= -6/5

y - 4 = -6/5(x - 0)

y - 4 = -6/5x + 0

y = -6/5x + 4

Aiden earned a score of 22 on exam a that had a mean of 40 and a standard
deviation of 10. he is about to take exam b that has a mean of 650 and a standard
deviation of 25. how well must aiden score on exam b in order to do equivalently
well as he did on exam a? assume that scores on each exam are normally distributed.

Answers

Using the normal distribution, it is found that he needs a score of 605 in exam b in order to do equivalently well as he did on exam a.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

For the z-score for exam a, we have that the parameters are given as follows:

[tex]X = 22, \mu = 40, \sigma = 10[/tex]

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 40}{10}[/tex]

Z = -1.8.

Then, for the equivalent grade X in exam B, we have that:

[tex]Z = -1.8, \mu = 650, \sigma = 25[/tex]

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.8 = \frac{X - 650}{25}[/tex]

X - 650 = -1.8 x 25

X = 605.

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What is the value represented by the letter A on the box plot of the data?
10, 12, 15, 21, 24, 30
H
А
B
B
с
D
m
Enter your answer in the box.

Answers

Answer:

10

Step-by-step explanation:

The first line on the box plot is always the minimum value

Jasmine has 18 model horses. She
places the model horses equally on
3 shelves. How many model horses
are on each shelf?

Answers

hey there!

Number of model horses on each shelf = 18/3
=6

Hope this helps you.

Answer:

6 model horses on each shelf.

Explanation:

number of horses on each shelf = total horse ÷ total shelves

Here given:

total horses: 18total shelves: 3

On each shelf, horses:

18 ÷ 36 horses

Write in the slope-intercept form an equation of the line that passes the given point

1 (0,1) , (2,4)
2 (-3,1) , (0,4)
Please show work :) for brainliest

Answers

Answer:

1) y = 1.5x + 1

2) y = x + 4

Explanation:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

1)

[tex]\sf slope = \dfrac{4-1}{2-0} =1.5[/tex]

Equation:

[tex]\sf y - y_1 = m(x-x_1)[/tex]

[tex]\sf \rightarrow y - 1 = 1.5(x - 0)[/tex]

[tex]\sf \rightarrow y = 1.5x + 1[/tex]

2)

[tex]\sf slope = \dfrac{4-1}{0-(-3)} =1[/tex]

Equation:

[tex]\sf y - y_1 = m(x-x_1)[/tex]

[tex]\rigtharrow \sf y - 4 = 1(x-0)[/tex]

[tex]\rigtharrow \sf y = x + 4[/tex]

Find the surface area of the rectangular prism.
3 yd
6 yd
5 yd

Answers

Answer:

126 square yards

Step-by-step explanation:

So first you want to use this formula:

2(L×W) + 2(L×H) +2(W×H)

Then plug it in:

2(6×5) + 2(6×3) + 2(5×3)

Next you solve:

6×5 = 30×2 = 60

6×3 = 18×2 = 36

5×3 = 15×2 = 30

After this you add them all up:

60 + 36 + 30 = 126

So you answer is 126 square yards

Hope this helps :)

A baseball team won 55% of their games. If they played 200 games, how many did they win?
A


100

B


110

C


160

D


190

Answers

The answer to this is B.

Answer:

110

Step-by-step explanation:

Number of games won = Total games × Win percentage

Number of games won = 200 x 55%Number of games won = 200 × 0.55Number of games won = 200 x 11/20Number of games won = 10 x 11Number of games won = 110

PLEASE HELP. I need this done by the end of today. plpease help im beggin

Answers

Answer:

I only did 1-16 but here:

11. x² + y² = 4

12. (x+3)² + (y-3)² = 1

13. x² + (y-3)² = 16

14. (x-7)² + (y+2)² = 4

15. x² + (y+20)² = 100

16. (x+4)² + (y+6)² = 16

Julia is making a flag for a project. The design of one of the flags, composed of three triangles, is shown in the figure.
40 cm
9 cm
41 cm
18 cm
41 cm
9 cm
40 cm
What is the perimeter of the flag Julia made?
ОА.
180 centimeters
OB.
116 centimeters
O c.
280 centimeters
OD.
198 centimeters

Answers

the answer is C
explanation

PLEASEEEE HELP!!! WILL MARK BRAINIEST TO THE RIGHT ANSWER

Answers

Answer:

x = 34 degree

Step-by-step explanation:

they're corresponding angles. so, they have equal measures.

3 added to twice a number

Answers

Answer:

The equation is n2 + 3

Step-by-step explanation:

The n represents the number.

for example the number 10

if you put it in the equation it becomes

(10)(2) +3

10x2=20

20+3=23

Suppose that josh starts a new job on which he is paid $1 the first day, $2 the second day, and so on, with his earning doubling every day. What is the first day on which he will be paid over $1000 a day

Answers

Answer:

500

-by-step explanation:

1000/2

Can anybody please help me on this question??

Answers

Answer:

The answer would be 3.8.

Step-by-step explanation:

Hope this helps!

Answer:

35\9 or 3.8

Step-by-step explanation:

[tex]\sf 7 \times \cfrac{5}{9} [/tex]

Let's combine numbers in one fraction.

[tex]\sf \cfrac{7 \times 5}{9} [/tex]

Multiply 7 and 5 which will give you 35.

[tex]\sf \cfrac{35}{9} [/tex] or [tex]\sf 3.8[/tex]

About 8% of the population has a particular genetic mutation. 800 people are randomly selected. find the mean for the number of people with the genetic mutation in such groups of 800. (round to 2 decimal places if possible.)

Answers

Answer:

64 people

Step-by-step explanation:

multiply the number by of people the precentage who have genetic mutation (divide percentage by 100 before multiplying) 0.08 x 800 = 64

The radius of a circle is 8 centimeters. What is the circle's area?

Answers

Area of circle= pi x radius squared

R=8

8 x 8= 64

64 x pi= 201.06 squared cm
So the area of a circle can be found with the equation A=πr2

If the radius is 8 we plug 8 into the equation

A=π8^2

We then square 8 which is 64

We now have
A= π64

We multiply 64 and pie so

A=201.06

I need help, please and thank you

Answers

Answer:

It's -3.125

Step-by-step explanation:

1/8 in decimal is 0.125

the 3 is a whole number so just put it in front.

Remember it's a negative, so you get:

-3.125

Answer:

-3.125

Step-by-step explanation:

- Multiply 3 and 8 to get 24. [tex]-\frac{24+1}{8}[/tex]

- Add 24 and 1 to get 25. [tex]-\frac{25}{8}[/tex]

- Turn [tex]-\frac{25}{8}[/tex] into a decimal to get -3.125

fill in the table using funtion rule y=3+3x

Answers

Answer:

1. -3*-4+3= 15Y=152.-3*-2+3=9Y=93. -3*0+3=3Y=34. -3*2+3= -3Y= -3

by-step explanation:

8(90x6)+9(7+4) and it hard for me bec i in the 3-4 grade

Answers

Answer:

720[tex]x^{6}[/tex]+99

Step-by-step explanation:

if a+b = -6 , a^2 + b^2 = 20 then ab =​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

By squaring the sum of two variables identity ~

[tex]\qquad \sf  \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab[/tex]

Now, plug in the given values ~

[tex]\qquad \sf  \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab[/tex]

[tex]\qquad \sf  \dashrightarrow \:36 = 2(10 + ab)[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 + ab = 36 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 + ab = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \:ab = 18 - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:ab = 8[/tex]

I hope it was clear through my steps ~

Answer:

8

Step-by-step explanation:

(a+b)^2 = (-6)^2

a^2 + 2ab + b^2 = 36

a^2 + b^2 = 36 - 2ab

Equating 36 - 2ab with 20

36 - 2ab = 20

2ab = 16

ab = 8

Hope this helps out, feel free to mark this answer as brainliest :)

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line, using the disk/washer method. Sketch the region, the solid, and a typical disk or washer.y = (x - 2)^2 ; y=2x-1 ; about the line y = -1

Answers

Check the picture below.

to check where the functions intersect, we can simply set them equal to each other so (x-2)² = 2x - 1, anyhow, not to bore you to death with that, it's as the picture shows it, at x = 1 and x = 5, so those are our bounds.

to get the R² part of the washer, what I do is using the "area under the curve" method of f(x) - g(x), where g(x) is the axis of rotation and f(x) is the farthest radius, so to get R² I'd process (x-2)² - (-1), that'd give me R and then I'd square that.

to get r², I do pretty much the same thing, f(x) - g(x) where g(x) is the axis of rotation and f(x) is the closest radius, in this namely (2x - 1) - (-1), and that'd give "r" and then we can square that to get r².

[tex]\begin{cases} R = 2x\\ r = x^2-4x+5 \end{cases}\hspace{5em} \begin{array}{llll} \stackrel{R^2}{4x^2}~~ - ~~\stackrel{r^2}{(x^4-8x^3+26x^2-40x+25)} \\\\\\ -x^4+8x^3-22x^2+40x-25 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \pi \int\limits_{1}^{5}(-x^4+8x^3-22x^2+40x-25)dx \\\\\\ \pi \left[ -\cfrac{x^5}{5}+2x^4-\cfrac{22x^3}{3} +20x^2-25x\right]_{1}^{5}\implies \cfrac{1408\pi }{15}[/tex]

In which order should the sentences appear? 1 – 2 – 4 – 3 2 – 1 – 4 – 3 3 – 4 – 1 – 2 4 – 2 – 1 – 3

Answers

Based on the excerpt given on Paco's evaluation of Dan DeLuca's argument, the correct order is 3 - 4 - 1 - 2.

Which order for the article on Paco's evaluation is correct?

3 is the best sentence to start because it introduces the direction that DeLuca is taking in his argument. 4 is next because it then says what DeLuca's claims are.

1 is the third sentence because it expands on DeLuca's arguments and then 2 is the last sentence as it contains Paco's evaluation of the argument.

Find out more on ordering sentences at https://brainly.com/question/24186239.

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Answer:

its C: 3 – 4 – 1 – 2

pls help im confused

Answers

Answers for both on picture, I wrote them out by hand. Both have a set number plus a variable that equal a final number. Solve for x.
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