Answer:
Step-by-step explanation:
The complete question in the attached figure
we know that
The volume of a cube is equal to
where b is the length side of a cube
In this problem we have
substitute in the formula
-----> by power of a product
----> by power of a power
Simplify
Answer:
aₙ = 7n +29
Step-by-step explanation:
22 ; 15 ; 8; 1;........aₙ
aₙ = -7n +29
Answer:
119.2 ft.
Step-by-step explanation:
In order to find the ground distance covered, we must find what the values given are for. 40° is the angle that is θ. 100 ft is the altitude, which is the height. We must find the ground distance covered. So we can find using the tan formula:
tanθ = Opposite side ÷ adjacent side
The opposite side is the height and the adjacent side is the ground distance, which we are going to assume as x. So when all values are substituted:
tan 40° = 100 ÷ x
So,
x = 100 ÷ tan 40°
x = 119.2 ft
Answer:
x = 1
Step-by-step explanation:
x = ln (e)
We know that the natural log and the exponential function are opposites
They cancel out and leave 1
x =1
Answer:
1.243 cm
Step-by-step explanation:
The surface area of a cylinder is the sum of the area of the two congruent circular bases and the rectangular lateral area.
We are given the surface area and the diameter.
r = d/2 = 7 cm / 2 = 3.5 cm
We can solve for h, the height.