Answer:
280 cubic inches
Step-by-step explanation:
Cubic inches of foam required = volume of the box - volume of the basketball
The box has a shape of a cube, so that;
volume of the box = ![l^{3}](https://tex.z-dn.net/?f=l%5E%7B3%7D)
where l is the length of the sides of the box.
volume of the box = ![9^{3}](https://tex.z-dn.net/?f=9%5E%7B3%7D)
= 729 cubic inches
volume of the box = 729 cubic inches
The basketball has the shape of a sphere, so that;
volume of the basketball =
![\pi](https://tex.z-dn.net/?f=%5Cpi)
![r^{3}](https://tex.z-dn.net/?f=r%5E%7B3%7D)
=
x 3.14 x ![(4.75)^{3}](https://tex.z-dn.net/?f=%284.75%29%5E%7B3%7D)
= 448.693
volume of the basketball = 448.693 cubic inches
Thus,
cubic inches of foam required = 729 - 448.693
= 280.307
The cubic inches of foam to be used is 280 cubic inches.
Answer:
![f(-3)=g(-3)](https://tex.z-dn.net/?f=f%28-3%29%3Dg%28-3%29)
Step-by-step explanation:
The graph shows two linear functions that intersect at (-3,-4).
The blue line is f(x).
At the point of intersection:
....eqn1
The blue line is g(x).
At the point of intersection
....eqn2
Equating both equations we get:
![f(-3)=g(-3)](https://tex.z-dn.net/?f=f%28-3%29%3Dg%28-3%29)
The statement that is true regarding the two functions is that:
![f(-3)=g(-3)](https://tex.z-dn.net/?f=f%28-3%29%3Dg%28-3%29)
Answer:
b
Step-by-step explanation:
at the left hand side the coefficient is 3
Answer:
sin(30)° = ![\frac{10}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7Bx%7D)
Step-by-step explanation:
By applying sine rule in the given triangle,
sin(30)° = ![\frac{\text{Opposite side}}{\text{Hypotenuse}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BOpposite%20side%7D%7D%7B%5Ctext%7BHypotenuse%7D%7D)
sin(30)° = ![\frac{10}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7Bx%7D)
![\frac{1}{2}= \frac{10}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D%20%5Cfrac%7B10%7D%7Bx%7D)
x = 2 × 10
x = 20
Therefore, answer will be sin(30)° =
.
Answer:
The answer is D.
Step-by-step explanation:
I simply solved for x. So the first thing I did was divide 1.3 by 3 then subtract 0.1 from that, which would give you 0.33.