What is the hypotenuse of a right triangle if the legs are each 20 inches long? Round to the nearest whole number. A. 28 B. 29 C. 30 D. 31​

Answers

Answer 1

Answer:

The answer is A.

Step-by-step explanation:

You have to apply Pythagoras Theorem :

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

[tex]let \: a = 20,b = 20[/tex]

[tex] {c}^{2} = {20}^{2} + {20}^{2} [/tex]

[tex] {c}^{2} = 800[/tex]

[tex]c = \sqrt{800} [/tex]

[tex]c = 28 \: (nearest \: whole \: no.)[/tex]

P.S (Take note):

Pythagoras Theorem can only applied in right angle triangle.

What Is The Hypotenuse Of A Right Triangle If The Legs Are Each 20 Inches Long? Round To The Nearest
Answer 2

Answer:

We can find the hypotenuse by using the Pythagoras theorem/theory. The Pythagoras theorem states that,

[tex]h^{2}[/tex] = [tex]p^{2}[/tex] + [tex]b^{2}[/tex] where, h = hypotenuse, p = perpendicular, b = base

=> [tex]h^{2}[/tex] = [tex]20^{2}[/tex] + [tex]20^{2}[/tex]

=> [tex]h^{2}[/tex] = 400 + 400

=> [tex]h^{2}[/tex] = 800

=> h = [tex]\sqrt{800}[/tex]

=> h = 28.284.....

Therefore rounded to the nearest whole number, we get,

h = 28

If my answer helped, kindly mark me as the brainliest!!

Thank You!!


Related Questions

If you earn $48 in 4 hours. What is the unit rate per hour?​

Answers

48/4 = 12. So $12 per hour

Answer:

$12

Step-by-step explanation:

find the perimeter & area of the rectangle

Answers

Answer:

Perimeter = [tex]34\sqrt{2}[/tex] feet

Area = 60 feet²

Step-by-step explanation:

Let us revise the rules of perimeter and area of a rectangle

Perimeter = 2(Length + width)Area = Length × Width

→ From the given figure

∵ The length = [tex]\sqrt{8}[/tex] feet

∵ The width = 5[tex]\sqrt{18}[/tex] feet

→ Simplify the roots

∵ [tex]\sqrt{8}=\sqrt{(2)(2)(2)}[/tex]

∴ [tex]\sqrt{8}=2\sqrt{2}[/tex]

∴ The length = [tex]2\sqrt{2}[/tex] feet

∵ [tex]5\sqrt{18}=5\sqrt{(3)(3)(2)}[/tex]

∴ [tex]5\sqrt{18}=5(3)\sqrt{2}=15\sqrt{2}[/tex]

∴ The width = [tex]15\sqrt{2}[/tex] feet

→ Perimeter = 2(Length + width)

∵ Perimeter = [tex]2[2\sqrt{2}+15\sqrt{2}][/tex]

∴ Perimeter = [tex]2[17\sqrt{2}][/tex]

∴ Perimeter = [tex]34\sqrt{2}[/tex] feet

→ Area = Length × Width

∵ Area = [tex]2\sqrt{2}[/tex] × [tex]15\sqrt{2}[/tex]

∴ Area = [tex](2)(15)(\sqrt{2})(\sqrt{2})=(30)(2)=60[/tex]

∴ Area = 60 feet²

0.75,1/2,0.4, and 1/5 from least to greatest

Answers

0.4, 0.75, 1/2, 1/5

Answer: 1/5,0.4,1/2,0.75

Step-by-step explanation:    

Can someone please help me with these questions?

Answers

Answer:

1) 57°

2) 142°

3) 92°

4) 125°

5) 111°

6) 90°

Step-by-step explanation:

Assuming the 2 lines that look parallel in all of these problems, are actually parallel...

m<1 = 57° They are the same angle

m<HJK = 142° (again, same angle)

m<ABC = (4x = 3x + 23) solve for x

x = 23, then substitute 23 for x

4(23) = 92°

m<MPQ = (3x + 50 = 5x). solve for x

x = 25, then substitute 25 for x

3(25) + 50 = 125°

m<3 = 111° They are the same angle

m<4 = 90° If one angle is 90° where the lines cross, all of the angles are 90°

Given the points (20,8) and (10,15) find the slope of the line that goes through them.

Answers

Answer:

-7/10

Step-by-step explanation:

You can find the slope by using this formula: [tex]\frac{y-y}{x-x} \\[/tex] (rise over run!)

If you plug in the numbers, it looks like this: [tex]\frac{8-15}{20-10} \\[/tex]

Which simplifies to [tex]-\frac{7}{10}[/tex]

Solve for x: 2 over 3 (x − 4) = 2x

Answers

X = 7 just got it though Symbolab

The steps to convert 18 over 8 to a decimal are shown below: Division is shown with divisor 8 and quotient 2.35 and dividend 18. The numbers below 18 in sequence are subtract 16 labeled as Step 1, 20, subtract 16 labeled as Step 2, 40 labeled as Step 3, subtract 40, and 0 labeled as Step 4. In what step is the first error?

Answers

Answer:

Step 2

18 over 8 to a decimal is 2.25

Step-by-step explanation:

Step 1, 20, subtract 16 labeled as

Step 2, 40 labeled as

Step 3, subtract 40, and 0 labeled as Step 4.

Divisor = 8

Divided = 18

Quotient = 2.25

2.25

8 √18

- 16

2 0

- 16

4 0

- 40

0

The first error is at step 2

18 over 8 to a decimal is 2.25

See the attached image for better understanding

Answer:

step 2

Step-by-step explanation:

The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of each angle

Answers

Step-by-step explanation:

Since, the angles of the quadrilateral are in the ratio 1:2:3:4

Therefore, let their measures be x, 2x, 3x and 4x

By angle sum property of the interior angles of a quadrilateral.

[tex]x + 2x + 3x + 4x = 360 \degree \\ \\ 10x = 360 \degree \\ \\ x = \frac{360}{10} \\ \\ x = 36 \\ \\ \implies \: \\ 2x = 2 \times 36 = 72 \degree \\ \\ 3x = 3 \times 26 = 78 \degree \\ \\ 4x = 4 \times 36 = 144 \degree[/tex]

A bag of dog food contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food each day. How many days does the bag of dog food last?

Answers

Answer: you keep adding 2 and 1/3 to get your answer. 18 day so the dog food should last up to 18days hope this helps

Dont take my word not 100% sure

samuel read 8 books in 10 months. what is his rate of reading in books per month

Answers

Answer:

1.25

Step-by-step explanation:


Need help ASAP, Tysm I really appreciate it

Answers

23-8x+5x+1

23-3x+1

24-3x

Answer: -3x+24

what did the cowboy say when he fell of his horse

Answers

Answer:

I have fallen and I can’t giddy up!

Step-by-step explanation:

Which of the following is true about a linear pair?

The two angles must be supplementary and adjacent to form a linear pair.
The two angles must be supplementary and adjacent to form a linear pair.

Any two adjacent angles form a linear pair.
Any two adjacent angles form a linear pair.

Any two supplementary angles are a linear pair.
Any two supplementary angles are a linear pair.

Vertical angles can form a linear pair.

Answers

Answer:

2

Step-by-step explanation:

;\

Answer: Choice A

The two angles must be supplementary and adjacent to form a linear pair.

Adjacent angles are angles that touch and share a common line segment, line, or ray. Think of two rooms that share the same wall and how they are considered adjacent rooms.

Supplementary angles form a straight angle. They add to 180 degrees.

Help? This 9th grade math

Answers

Answer:

17*

Step-by-step explanation:

180*-163*=17*

Manuel wants to go snowboarding with his friends. The closest ski and snowboard resort is approximately 20 miles west and 50 miles north from his house. Manuel picks up his friend who lives 15 miles south and 10 miles east of Manuel's house. How far are the two boys from the resort

Answers

Answer:

Step-by-step explanation:

First we need to calculate the displacement of the resort from Manuel's house using Pythagoras theorem.

S1 = √50²+20²

S1 = √2500+400

S1 = √2900

S1 = 53.85m

Next is to calculate the displacement of Manuel's friend house to Manuel's house.

S2 = √15²+10²

S2 = √225+100

S2 = √325

S2 = 18.03m

The displacement of the two boys from the resort will be ∆S = S2-S1

∆S = 53.84-18.03

∆S = 35.81m

Every day, Ann goes to the gym for 30 minutes and Max goes for 3 times longer. For how long does Max go to the gym every day?

Answers

To find this answer, it says that Max goes to the gym 3x longer than Ann. Ann only goes to the gym for 30 minutes.

Multiply the time that Ann goes by 3 to find the time that Max goes.

30 x 3 = 90

Which means, that Max spends 90 minutes at the gym. /

(To simplify, he goes to the gym for 1 hour and 30 minutes)

Logan and Nathan are shelving books at a public library. Logan shelves 5 books at a time, whereas Nathan shelves 6 books at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved?

Answers

Answer:

30

Step-by-step explanation:

Given that

Logan shelves 5 books and

Nathan shelves 6 books

They end shelving the same number of books.

To find:

Smallest number of books each could have shelved?

Solution:

First of all, let us have a look at the definition of Least Common Multiple(LCM) of two numbers.

Least Common Multiple (LCM) of two numbers is the minimum number which is divisible by both the numbers.

Now, looking at the statement of the given question.

We have to find the LCM of both the numbers actually.

Making factors of the numbers:

[tex]5=5\times 1[/tex]

[tex]6=2\times 3[/tex]

Nothing is common here, therefore the LCM is [tex]5\times 6 =\bold{30}[/tex].

Smallest number of books shelved = 30

Which of these numbers is irrational?

Answers

Answer:

the square root of five is irrational

Step-by-step explanation:

Answer:

A, I think

Step-by-step explanation:

5 · (2 · 7) = (2-7) - 5
What property does this show?

Answers

5x(2x7)=(2-7)=5 5(10x14)=(5-7)14
5.(2.7)=-10 is the correct answer

what is (5.6*10^6)-340,000

Answers

Answer:

5260000

Step-by-step explanation:

Solve:
2(x - 1)2 + 7 = 39
Please help!!

Answers

Answer:

X=16

Step-by-step explanation:

2x-2+9=39

2x +7=39

2x=39-7

2x=32

Divide by 2

X=16

Answer : 12

Explanation :

Look in the below image.
I hope this helps you !!!!!

Is there anyone who can do my homework for me Its 30 questions
I'm really busy with life this is why I ask if you can please friend me I also need the work

Answers

what can i help you

When evaluating (3.25 times 10 Superscript 5 Baseline) (1.82 times 10 Superscript 3 Baseline), what will be the exponent of 10 in the product?

Answers

Answer:

What is (3.1 times 10 Superscript 5 Baseline) (2.2 times 10 Superscript 7 Baseline) in scientific notation?

5.5 times 10 Superscript 12

6.82 times 10 Superscript 12

5.5 times 10 Superscript 35

6.82 times 10 Superscript 35

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I took the test (:

what is the answer for 5-(-8)-(-2)?​

Answers

the answer is 15

step by step explanation:

5-(-8)-(-2)

convert the subtraction to addition

5+8+2 = 15

Help appreciated! (Will mark as Brainliest if correct.)

Answers

The screen us very blurry

Answer:

1. and 3.

Step-by-step explanation:

what is the intersection between the lines 2y + 3x = 5 and 4x + 5y= 11?

Answers

Answer:

3/7 & 13/7

Step-by-step explanation:

What is the value of y? O A. 10° O B. 55 O C. 110° O D. 85°​

Answers

Answer:

55

Step-by-step explanation:

40+y+30+y=180

40+2y+30=180

70+2y=180

2y=110

y=55

Checking: 55+40+(55+30) = 55+40+55+30 = 180

If f(x) = -3x - 9, what is the value of f(6)?

Answers

Answer:

-27

Step-by-step explanation:

if f(6) you plug it into x

-3(6)-9

-18-9

-27

Carla traveled 320 miles in 5 hours. At this rate, how far will Carla travel in 7 hours?

Answers

Answer:

448 miles

Step-by-step explanation:

If 5 hours = 320 miles

then 7 hours = ?

7 hours will give more so if more less divide

7hours ÷5hours × 320 miles

hours will cancel out

= 7÷5×320 miles

= 448 miles

Hence,Carla will travel 448 miles in 7 hours

- 8 - Зу = 25
How do I do this

Answers

add 8 to 25 which equals 33. then divide by -3 so y= -11
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