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mihalych1998 [28]
3 years ago
11

How can you use the Pythagorean theorem to solve problems

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0
The photo below shows -

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1. Ki’von has a sink that is shaped like a half-sphere. The sink has a diameter of 20 inches. One day, his sink clogged. He has
Vanyuwa [196]
Step 1
Find the volume of <span>a sink
Volume sink=(4/6)*pi*r</span>³ (<span>half-sphere)
Diameter=20 in--------------> r=D/2-----------> r=10 in
</span>Volume sink=(4/6)*pi*10³---------> (2000/3)*pi in³ --------> 2093.33 in³

<span>(a) What is the exact volume of the sink? 
the answer part a) is </span>(2000/3)*pi in³  (2093.33 in³)

<span>(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it?

</span>volume of a conical cup=pi*r²*h/3
diameter=8 in--------------> r=4 in
h=6 in
volume of a conical cup=pi*4²*6/3-----------> 32*pi in³

if one cup---------------------> 32*pi in³
  X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(32*pi)------------> 20.83----------> 21 cups

the answer part b) is 21 cups


(c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it?

volume of a cylindrical cup=pi*r²*h
diameter=4 in--------------> r=2 in
h=6 in
volume of a cylindrical cup=pi*2²*6-----------> 24*pi in³

if one cup---------------------> 24*pi in³
  X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(24*pi)------------> 27.77----------> 28 cups

the answer part c) is 28 cups
3 0
3 years ago
What is the answer please
Sophie [7]

Answer:

i can't see it it's turned sideways, sorry!!!!!

Step-by-step explanation:

3 0
3 years ago
C = z-q/a for ‎z‎<br> (Integrated Math 8)
Trava [24]

Answer:z=c+q/a

Step-by-step explanation:

7 0
2 years ago
A bike rental company charges a $5 service fee and $1 per hour. If this situation is represented as a function, what would be th
Elenna [48]
Write as a function equation: where f(x) is the same as "y"

f(x) = 5 + 1x   ------  y = 1x + 5

Use:  y = mx + b  (Where m = slope and b is y intercept)

Slope is 1 and y intercept is +5 

Remember slope is rise over run so 1 can be written as 1 / 1 and interpreted as rise 1 and run 1 both in the positive direction. 



4 0
3 years ago
Read 2 more answers
What is the product –8(7 – 3 .2)
sergij07 [2.7K]

Answer:

-33.6

Step-by-step explanation:

1. Solve inside the brackets = 4.2

2. Multiply that by -8 = -33.6

5 0
2 years ago
Read 2 more answers
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