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
I think D.
They both rested for 2 minutes, however they did not rest at the same time, but it doesn't say they did that in the option choice.
Hope this helps!
X - 6y=18
2x-3y=9 |*-2
x -6y=18
-4x+6y=-18
----------------
-3x=0, x=0
2x-3y=9
2*0-3y=9
-3y=9, y=-9/3, y= -3
Answer:
Step-by-step explanation:
3/8 miles long, 1/48 miles per hour
3/8 and 1/48 can have a common denominator, so you make 3/8 into 18/48 by multiplying both the numerator and denmoinator by 6.
18/48 miles long
1/48 per hour
divide: 18/48 divided by 1/48, which turns into 18/48 x 48/1 which equals 18
18 hours
The value of the variable 'x' in the first case and the second case will be 9° and 1.
<h3>What is a parallelogram?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. And the sum of the adjacent angles is 180°.
In part 61, the equation is given as,
100° + 9x - 1° = 180°
Simplify the equation, then we have
9x + 99° = 180°
9x = 81°
x = 9°
In part 62, the equation is given as,
22x - 1 = 21
Simplify the equation, then we have
22x - 1 = 21
22x = 22
x = 1
The value of the variable 'x' in the first case and the second case will be 9° and 1.
More about the parallelogram link is given below.
brainly.com/question/1563728
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