Question writer: it's customary to keep the degree sign off of the variable names in trig.
sin y = s/8
tan y = s/t
tan y = sin y / cos y
cos y = sin y / tan y
cos y = (s/8) / (s/t) = (s/8) × (t/s) = t/8
Answer: cos y = t/8, third choice
Answer:
B
Step-by-step explanation:
Firstly, we solve for x
-x ≥ 2 * 4
-x ≥ 8
Multiply both sides by -1
x ≤ -8
So we look at the inequality represented by this;
We can see that the correct inequality is option B;
You want to find the volume inside the hemisphere
(i.e. inside the sphere but above the plane
) and outside the cylinder
. Call this region
.
In cylindrical coordinates, we have



(where
)


Change 212,514 into 215,000.
Change 396,705 into 400,000.
--------
Estimate:
215,000 + 400,000 = 615,000
Therefore:
212,514 + 396,705 ≈ 615,000
Hey there! I'm happy to help!
To find the volume of a cone, you multiply the base by the height and then divide by three.
First, we need to find the base. A cone has a circle for the base. To find the area of a circle, we square the radius and multiply it by pi (we will use 3.14).
4²=16
16×3.14= 50.24
Now, we multiply our base by the height.
50.24×8=401.92
Finally, we divide by three.
401.92÷3≈133.973 (to nearest thousandth)
Therefore, the volume of the cone is about 133.973 units cubed. If you were to use exact pi, it would be more like 134 because of all those decimals after pi!
Now you can find the volume of cones!
I hope that this helps! Have a wonderful day!