Answer:
5894.82 ft^3
Step-by-step explanation:
We have to split the figure into two parts and then find the volume of both and add. The figure is split into a cylinder and hemisphere. The volume of the cylinder is 4823.04 ft^3 because the formula to find the volume of a cylinder is pi(r^2)h. The volume of the hemisphere is 1071.78 ft^3. Now, we have to add those volumes to get our final answer. 4823.04 + 1071.78 = 5894.82.
Answer:
125
Step-by-step explanation:
In ΔPTO we are given that
∠PTO = 90° (indicated by the right angle)
and ∠TPO = 35°
And we need to find the exterior angle (∠TOB)
If you didn't know this is the rule about exterior angles
Exterior angles of a triangle are equal to the sum of the opposite interior angles of a triangle
So more specifically for this problem
∠TOB = ∠PTO + ∠TPO
Now that we have created an equation we want to plug in the values that we are given
∠TOB = 90 + 35
90 + 35 = 125
Therefore the answer is 125
15409 would be fifteen thousand four hundred and nine, 100203 would be one hundred thousand two hundred and three
Answer:
the first selection (see below)
Step-by-step explanation:
The average rate of change (m) on the interval [x1, x2] is given by ...
... m = (g(x2) -g(x1))/(x2 -x1)
For g(x) = -x²-4x and (x1, x2) = (6, 8), the expression is the one attached.
Answer:
28°
Step-by-step explanation:
You're given that line DE and line FG are parallel and KL and FG are perpendicular. Then you can find out angle ∠BAC by using the vertical angles property: ∠BAC=62°. Then since KL and FG are perpendicular ∠ABC = 90°. So you find the angle ∠BCA by finding the sum of interior angles: 62+90+∠BCA=180, therefore ∠BCA is 28°. Finally, ∠x or ∠JCG = 28 because ∠JCG and ∠BCA are vertical angles and congruent.
