Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle below.

The figure shows a right triangle with legs marked 40 and 9.

Answers

Answer 1

Answer:

41

Step-by-step explanation:

The Pythagorean Theorem:

[tex]x^2+y^2=z^2[/tex]

where x and y are two legs, and z is the hypotenuse

Plugging this in, we have

[tex]40^2 + 9^2 = 1681\\\sqrt{1681}=41[/tex]

Answer 2

Answer: Hypotenuse is 41


Related Questions


Given f(x) = 2x2 + 4x - 3 and g(x) = 5x - 2, find f(x) - g(x).
Must show all work to receive credit! Show your work in the box below

Answers

Answer:

its the same steps as the other one I answered for you except subtract

Step-by-step explanation:

x-1

Answer:

f(x) - g(x) = 2x^2 - x - 1

Step-by-step explanation:

f(x) = 2x^2 + 4x - 3 g(x) = 5x - 2

f(x) - g(x) = (2x^2 + 4x - 3) - (5x - 2)

= 2x^2 + 4x - 3 - 5x + 2

= 2x^2 - x - 1

This exponential function has a base of 1.4 and an initial amount of 17. Its graph
is shifted 3 units left and 5 units up.

Answers

Answer:

-2.4 and 22

Step-by-step explanation:

answer fast and quickly plsss​

Answers

Answer:

C. 65°, 115°

Step-by-step explanation:

3x - 5 + 2x - 15 = 180

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 200/5

x = 40

5x - 20 = 3*40-5 = 120 - 5 = 115

2x - 15 = 2*40 - 15 = 80 - 15 = 65

Callista used 10% off coupon to purchase a band t-shirt from Hot Topic . If the shirt cost $21.00, what is the discount in dollars?​

Answers

Answer:

The discount is 2.1 dollars

4x + 11y = 7
4x + 3y = -1

Answers

Answer:

x= - 1

y= 1

Step-by-step explanation:

qwertyuiopsknzvzbjzjjs

Today Angela's cat's age in months is the same as Angela's age in years. In one year her cat's age in months will be 2 times Angela's age in years. Today Angela is ___years old.

Answers

Answer:

10

Step-by-step explanation:

I just guessed and check :)

But if you recheck my answer it's correct!

Angela: 10 years

Cat: 10 months

In 1 year:

Angela: 11 years

Cat: 22 months

I hope this helps!

Answer:

I think Angela is 10 years old today.

The table shows the weights of apples at a grocery store

Answers

Answer:

c

Step-by-step explanation:

To get to the other side

28. Which statement is true about the polynomial?

29. What is the degree of the polynomial?

Answers

Answer:

Step-by-step explanation:

28). (C)

29). [tex]6^{th}[/tex] degree

PLZ I WILL GIVE BRAINLEST
Bobby has 38 dolar and his siter had 92 dolar how much more money sister have?

Answers

Answer:

54

Step-by-step explanation:

92 (how much his sister has) - 38 (how much he has) = 54 (how much more money his sister has then him)

Answer: His sister had 54 more dollars than him.

Step-by-step explanation: 92 (sister's amount) -38 (Bobby's amount) = 54 (total difference).

Type the following fractions in order from greatest to least:

5/4, 4/10, 5/12, ¼, 11/12


Write the decimals in the boxes from greatest to least:

0.5, 0.91, 0.04, 0.89, 0.51

Answers

1/4, 4/10, 5/12, 11/12, 5/4

0.91, 0.89, 0.51, 0.5, 0.04

Answer:

5/4, 11/12, 1/4, 5/12, 4/10        0.91, 0.89, 0.51, 0.5, 0.04

Step-by-step explanation:

Im pretty sure these are correct

Given: △ABC, m∠A=60°
m∠C=45°, AB = 9
Find: Perimeter of △ABC
Area of △ABC
ABC is scalene

Answers

hope it helps you ....... :)

which is a unit rate?

A. 15 miles per gallon
B. 5 pounds in two bags
C. $8 for three boxes of crackers
D. 22 gallons in 5 days ​

Answers

15 miles per gallon.
Choice A because every other option has to do with multiple things.

SECTION 1-1 PRACTICE

Employee

Regular

Hourly Rate

х

Hours

Worked

Straight-Time

Pay

Ix

36

X Х

X Х

Wright, S.

Reardon, E.

Levitt, R.

Maguire, M.

Reyes, A.

Vadola, G.

$ 8.00

7.50

16.20

10.25

14.525

26.675

IX Х

18

30

243

31.125

25.625

X Х

You earn $6.50 per hour and work 30 hours this week. What is your straight-

Answers

Answer:

Your straight-time pay is $195.

Step-by-step explanation:

a) Data and Calculations:

Employee  Regular  Hourly Rate  х  Hours  Worked   = Straight-Time  Pay

Wright, S.             $8.00         36

Reardon, E.            7.50         18

Levitt, R.               16.20         30

Maguire, M.         10.25       243

Reyes, A.             14.525        31.125

Vadola, G.          26.675         25.625

b) If you earn $6.50 per hour and work 30 hours this week, your straight-time pay is $195 ($6.50 * 30).  The straight-time pay is determined by multiplying  the number of hours worked in a period by the hourly rate.

A tailor charge $560 for a suit of clothes and gives a discount of 12% for cash. Calculate the discounted price for a suit of clothes.​

Answers

answer is 67.2!!!!!!!

Answer:

$492.80

Step-by-step explanation:

The discount= 12%*$560/100%

= $67.20

The discounted= Selling price- discount

= $560 - $67.20

= $492.80

help pls this is due today:(

Answers

Answer:

5cm

Step-by-step explanation:

a^2+b^2=c^2

9+16=x^2

25=x^2

x=5

Hope this helps!

(Angle relationships) solve this question.

Answers

Answer:

21

Step-by-step explanation:

There are 19.3 cups of flour in a bag. The chef uses 2.9 cups for making cookies.
Then, he uses 1.2 cups of sugar and 5.1 cups of flour for making banana bread.
How many cups of flour are left?

Answers

Answer:

10.1 cups left

Hope this helps!

Can you pls give brainly if this helps

Answer this question please and i will give brainliest

Answers

Answer:

false the answer is false

Step-by-step explanation:

80+100??????????????????​

Answers

Answer:

180

Step-by-step explanation:

8 0

+ 1 0 0

1 8 0

In a sample of 80 light bulbs, the mean lifetime was 1217 hours with a standard deviation of 52 hours. a. Find the 95% confidence interval for the mean lifetime of this type of bulb. Justify the reason you chose the distribution used to construct the confidence interval. b. How many light bulbs must be sampled so that a 95% confidence interval will specify the mean lifetime to within + 8 hours?

Answers

Complete Question

In a sample of 80 light bulbs, the mean lifetime was 1217 hours with a standard deviation of 52 hours. a. Find the 95% confidence interval for the mean lifetime of this type of bulb. Justify the reason you chose the distribution used to construct the confidence interval. b. How many light bulbs must be sampled so that a 95% confidence interval will specify the mean lifetime to within [tex]\pm 8 \ hours[/tex]?

Answer:

a

    [tex]1206 <  \mu <  1228 [/tex]

The reason why a normal distribution was chosen is because the sample size is large enough that is  [tex]n > 30[/tex]  

b

   [tex]n =162 [/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  80  

    The sample mean is  [tex]\= x = 1217[/tex]

     The standard deviation is  [tex]\sigma = 52[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of   is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 1.96  *  \frac{ 52}{\sqrt{80} }[/tex]

=>    [tex]E = 11.395 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>   [tex]1217  -11.395 <  \mu <  1217  + 11.395[/tex]

=>   [tex]1206 <  \mu <  1228 [/tex]

Generally the sample size is mathematically represented as  

   [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

Here  E =  8

=>   [tex]n = [\frac{1.96  * 52 }{8} ] ^2[/tex]

=>   [tex]n =162 [/tex]

Which of these statements is true about adaptive evolution?

Answers

Answer:

Adaptive evolution is always changing because the environment is changing continuously.

Hence,

The right answer would be :

Adaptive evolution is a fluctuating change in a trait

Step-by-step explanation:

I need help ASAP (10 points) I checked and the only information I got was that x=8 I don’t know how to get the answer 8

Answers

Answer:

x=8

Step-by-step explanation:

This is a congruent triangle. If we use Pythagorean theorm, we can see that 3^2+y^2=25

y^2= 16

y=4

(y is the base of the small triangle)

and since the big triangle and the small triangle are congruent(the ratios are the same), 3 is half of 6, and so the base of the small triangle is half of the big triangle's.

4*2=8

x=8

what’s this answer please need help

Answers

Answer: -1 [(y-b)/m]+x=a

Step-by-step explanation:

(Y-b) / m = x-a

[(y-b)/m] -x =-a

-1 [(y-b)/m]+x=a

I don’t get this question at all, pls help. I just need the function.

Answers

X>>+3 x + 2x-12+.....

What is the value of 3-(-2)? 25 -3 -2 -1 0 1 5 0 1 O 5​

Answers

Answer:

5

Step-by-step explanation:

(because when two negative meets it gives u positive )

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

x=16 because the proportional size, this also means that if the -84 becomes 16 in proportion size.

I WILL MARK BRAINLIST

Answers

Answer:

The answer would be c

Step-by-step explanation:

If you look at the vertices you will see that none of them have any of the same vertices.

subtracting decimals
0.89-0.6​

Answers

Answer:

o.29 answer of this question

Answer:

0.29

Step-by-step explanation:

0 . 8 9

-0 . 6 0

-------------

0 . 2 9

--------------

Hope this helps

plz mark as brainliest!!!!!!!!

Which of the following correctly identifies the set of outputs?

{(5, –2), (1, –1), (–2, 2), (2, 5)}
{(–2, 5), (–1, 1), (2, –2), (5, 2)}
{–2, –1, 2, 5}
{–2, 1, 2, 5}

Answers

I believe it’s the 3rd one because it’s all the
y-values aka all the outputs

Old Navy is having a sale for the summer they are selling for shirts for $23 what is the price per share at the store

Answers

Answer:

5 dollars and 75 cents.

Step-by-step explanation:

I think you mean 4 shirts are 23$? If so ,you would divide 23 by 4 to get how many dollars is 1 shirt. 23/4 = 5.75

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