In radians:
To get 0, only one part of the multiplication needs to be zero for the whole thing to be zero. Thus we get 2 equations:
t=0, and cos(t)=0
for the first equation, it's pretty self-explanatory and sp we get 0 as one solution.
For the second equation, cos(pi/2) and cos(3pi/2) both equal 0 so both pi/2 and 3pi/2 are answers. Since there is no bound to this problem, the actual answer is:
(2Z+1)pi/2 and 0
(2Z+1) means all odd integers
The volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe is 823.68 inches³
<h3>Volume of a sphere</h3>
The globe is a sphere. Therefore, the volume is as follows:
volume = 4 / 3 πr³
where
r = 12 /2 = 6 inches
volume = 4 / 3 × π × 6³
volume = 864 / 3 π
volume = 288 × 3.14 = 904.32inches³
<h3>Volume of a cube</h3>
The box is a cube. Therefore,
volume = L³
where
Therefore,
volume = 12³
volume = 1728 inches³
Therefore, the volume of the space inside the box that is not taken up by the globe is as follows:
volume not taken up = 1728 - 904.32 = 823.68 inches³
learn more on volume here: brainly.com/question/15385003
Answer:
- A matches with 5.
- B matches with 3.
- C matches with 2.
- D matches with 6.
- E matches with 4.
- F matches with 1.
Step-by-step explanation:
To find the inverse of a function 
, we let 
and then solve again for y.
For example, using 
, we will let 
, giving 
. This means that 
, and thus 
.
Using similar logic, we see that:
- A matches with 5.
- B matches with 3.
- C matches with 2.
- D matches with 6.
- E matches with 4.
- F matches with 1.
volume of a cone = (1/3)*pi*r^2*h
180 = pi(r^2)h
180/pi(r*2) = h
