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
Answer:
x=4
Step-by-step explanation:
It's a parallel line so the equation is
100+19x+4=180
19x=180-100-4
19x=76
x=76/19
x=4
Answer:
Step-by-step explanation:
Since the equation is parallel, this means that the slope remains the same which is 0.5.
The remaining thing to do is to find b or y-intercept. To do that, the point (6,-2) and the slope of 0.5 will be used.
When solving for b, it will equal to -5.
Therefore the new equation that is parallel is
ANSWER:
24 minutes
40% of 1 hour is equivalent to 24 minutes.
STEP-BY-STEP EXPLANATION:
1 hour = 60 minutes
If:
100% = 60 minutes
Then:
100% ÷ 2.5 = 60 minutes ÷ 2.5
40% = 24 minutes
THEREFORE:
40% of 1 hour is equivalent to 24 minutes.
