Answer:
V = 2143.57 cm^3
Step-by-step explanation:
We want to find the volume of the sphere
V = 4/3 pi r^3 where r is the radius and pi = 3.14
V = 4/3 ( 3.14) ( 8)^3
V = 2143.57333 cm^3
Rounding to the nearest hundredth
V = 2143.57 cm^3
I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.
2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)
Next, I add 20 on both sides.
2x + 90 + 3x = 200º
I combine like terms (2x and 3x)
5x + 90 = 200º
I subtract 90 from both sides.
5x = 110º
Divide 110 by 5 to get x.
x = 22
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For problem two, I label all the angles I know.
49º + 80º + r = 180º
I add 80 and 49.
129º + r = 180º
I subtract 180 and 129 and get 51º, which is your angle for R.
For angle X, you know that angle R plus angle X equals half of a circle, which is 180º
We know from before that 129º is 180º without R, so X is 129º
I hope this helps! Let me know if I'm wrong!
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Answer: 2</h3>
The lowest point has a y coordinate of 2. The highest point has a y coordinate of 6. The difference is 6-2 = 4. Cut this in half to get 4/2 = 2 which is the amplitude. This is the vertical distance from the midline (y = 4) to either the peak point or the valley point.
