Question 5:
the circumference is given by:
C = 2 * pi * r
Where,
r: radio of the ball
Substituting values we have:
22 = 2 * pi * r
Clearing r we have:
r = 11 / pi
The surface area is given by:
A = 4 * pi * r ^ 2
Substituting values we have:
A = 4 * 3.14 * (11 / 3.14) ^ 2
A = 154 in ^ 2
Answer:
The surface area of the balloon is:
A = 154 in ^ 2
Question 8:
For this case we have that the scale factor is given by:
V1 = (k ^ 3) * V2
Substituting values we have:
729 = (k ^ 3) * 2744
Clearing k:
k = (729/2744) ^ (1/3)
k = 9/14
Answer:
the scale factor of a cube with volume 729 m ^ 3 to a cube with volume 2,744 m ^ 3 is:
9:14
Question 2:
The volume of the cylinder is given by:
V = pi * r ^ 2 * h
Where,
r : radio
h: height
Substituting values:
V = pi * (2.8) ^ 2 * (13)
V = 101.92 * pi
Answer:
The volume of the cylinder is:
V = 101.92 * pi
option 3
The solutions to f(x) = 64 is x = 7 and x = –7.
Solution:
Given data:
– – – – (1)
– – – – (2)
To find the solutions to f(x) = 64.
Equate equation (1) and (2), we get

Subtract 15 from both sides of the equation.



Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
Answer:
t≥2
Step-by-step explanation:
because you need at least 2 touchdowns, t must be equal to 2 or more (greater) than 2.
Answer:
I need this answer too !!!
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
_____
The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.