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Scrat [10]
3 years ago
12

What is the length of the hypotenuse of the right triangle shown?

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

<h2>20</h2>

Step-by-step explanation:

Use the Pyhagorean theorem:

leg^2+leg^2=hypotenuse^2

We have the lengths of legs 12 and 16. Substitute:

c^2=12^2+16^2\\\\c^2=144+256\\\\c^2=400\to c=\sqrt{400}\\\\c=20


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How many of these pitchers can a cylinder with height 9 inches and 2r fill? Explain how you know.
irakobra [83]

Answer:

4 pitches

Step-by-step explanation:

if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.

Solution:

The volume of a cylinder is given by:

V = πr²h;

where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.

A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:

V = πr²h = πr²(9) = 9πr²

V = volume of pitcher = volume of cylinder with radius r = 9πr²

For a cylinder with height 9 inches and radius 2r its volume is:

V2 = πr²h = π(2r)²(9) = 36πr²

Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:

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Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.

3 0
3 years ago
Find the value of x
olya-2409 [2.1K]

Answer:

A) 33

Step-by-step explanation:

180 - 105= 75

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3 0
2 years ago
Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina he
VLD [36.1K]

Answer:

3:30PM

Step-by-step explanation:

Martina starting playing video games as soon as she got home from school. She played video games for 15 minutes. Then Martina helped clean the kitchen for 45 minutes. After the kitchen was clean, it took Martina 15 minutes to finish her homework. When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?

Step 1

We add up the minutes it took her to do things

= Minutes for video games + Minutes for cleaning the kitchen + Minutes for doing homework

= 15 minutes + 45 minutes + 15 minutes

= 75 minutes

= 1 hour 15 minutes

Step 2

When Martina finished her homework, it was 4:45 P.M. What time did Martina get home from school?

This is calculated be subtracting 1 hour 15 minutes from 4:45 PM

= 4:45 PM - 1 : 15

= 3:30PM

Therefore, Martha got home from school by 3:30 PM

3 0
3 years ago
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Answer:confusing

Step-by-step explanation:

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