Answer:
V = 113.04
Step-by-step explanation:
Volume of a sphere:
V = 4/3πr³
V = 4/3(3.14)3³
V = 4/3(3.14)27
V = 113.04
1A) For the right triangle from the middle of one edge to the center of the base, the side "adjacent" to the angle is (82 m)/2 = 41 m. The height is the side of that triangle that is "opposite" to the angle. You know from your trig definitions that
.. tan(52°) = "opposite"/"adjacent"
.. tan(52°) = height/(41 m)
.. height = (41 m)*tan(52°) ≈ 52 m . . . . . . . 3rd selection
1B) Same deal.
.. tan(52°) = height/(side/2) = 2*height/side
.. side = 2*147 m/tan(52°) ≈ 230 m . . . . . . 4th selection
2) The sine is the ratio of opposite to hypotenuse. Side BC is opposite angle A, and side AB is the hypotenuse
.. sin(A) = (8√3)/16 = (√3)/2
Answer:
-15
Step-by-step explanation:
We proceed as follows;
In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.
Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.
Thus, we have;
2a(b-3) + 5b + _
Now, putting -15 will give us the same expression in the first bracket and this gives us the following;
2a(b-3) + 5b-15
2a(b-3) + 5(b-3)
So we can have ; (2a+5)(b-3)
Hence the constant used is -15
Cos 105 will also be -0.26
csc 105 = 1.03
