Okay...so since 90 degrees out of 360 is taken out that means that the hemisphere is only 250 degrees. That's only 3/4 of a hemisphere. So, you need to find the volume of the hemisphere as if it were a sphere. Then, you divide that by 2 to get the volume of the hemisphere. Then, you multiply it by 3/4 to get the volume of your sliced hemisphere.
Answer:
384
Step-by-step explanation:
Triangle sides: 12x10/2. Then multiply by four to get all four sides.
Bottom: 12x12.
Add together, get 384.
Answer:
The sum of the coefficients of the terms in (-1.5·x² + 0.5·x + 4)¹⁶ that have even degree is -4273411167.501
Step-by-step explanation:
The parameters given are;
f(-4) = -22
f(-1) = 2
f(2) = -1
g(x) = f(x)¹⁶
The function f(x) is presented as follows;
f(x) = a·x² + b·x +c
We have;
-22 = a·(-4)² + b·(-4) +c
-22 = a·16 - 4·b +c ..............(1)
2 = a·(-1)² + b·(-1) +c
2 = a - b +c...........................(2)
-1 = a·(2)² + b·(2) +c
-1 = 4·a + 2·b +c...................(3)
Solving the equations (1), (2), and (3) by using an online linear systems solver, we get;
a = -1.5, b = 0.5, c = 4
Therefore, f(x) = -1.5·x² + 0.5·x + 4
f(x)¹⁶ = (-1.5·x² + 0.5·x + 4)¹⁶ which gives the coefficients of the even terms as follows;
656.841 - 19267.331 + 248302.054 - 1772904.419 + 6735603.932 - 2868054.635 - 119602865.901 + 750783340.827 + -2542435585.611 + 5338903756.992 - 6048065910.25 -1031335136 + 17223697920 - 32238338048 + 32107397120 - 17716740096 = -4273411167.501.
Answer:
16.8
Step-by-step explanation:
You have to do 360 divided my 6048 because you have to do things on both numbers like moving the decimal.
Answer: for 2 cups, There are 232 Calories.
Step-by-step explanation:
Step 1
Let the calories in one cup be represented as C
Therefore
3/4 x C = 87 calories
C = 87 X 4 / 3 = 116
unit rate is 116 calories per cup.
Step 2- Solving the number of calories in 2 cups
1 cup serving = 116 calories
2 cups servings = 116 x 2= 232 calories