Answer:
Step-by-step explanation:
<u>Function Modeling</u>
The problem gives us the following conditions: The bottom of Ignacio's desktop is 74.5 cm from the floor, and the top of his legs is 49.3 cm from the floor. We know the chair where he's sitting at has a knob that raises the legs 4.8 cm per clockwise rotation r. This means that the total distance the legs are raised for r rotations is 
. The total distance of his legs from the floor is then:
This distance cannot reach or exceed 74.5 cm, thus
Solving for r
Or, equivalently
Volume of a sphere with radius of 70 feet is:
where r is that radius
Because we need quarter sized tank of that radius we need to divide formula for volume by 4
Than we get:
V = 359188,76
Rounded:
V = 359189
Volume of the pyramid:
V = 1/3 · B · h
B = 8 ft²
tan 30° = height / 7√3
1/√3 = height / 7√3
height = 7 ft
V = 1/3 · 8 · 7 = 18.67 ft³ ≈ 19 ft³
Answer : D ) 19 ft³
4 1/3
Okay, I know fractions are scary, but we can do this alright?
First, you see the whole number on the side? Get that first.
10- 5 = 5
now we have 5 left and a scary fraction. Don't panic, let's do this. We know 1 is 3/3. 1 can be anything as long as the number on top and the number at the bottom are the same then it would be one.
So 3/3 is one then we can subtract:
3/3 -2/3 .
We subtract the top number and leave the one at the bottom the same.
3-2 = 1
Then we have 1/3.
As you took one away from the 5, it becomes a 4 and you put back the left over, 1/3.
Then you answer will be :
4 1/3
