Answer:
Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.
Step-by-step explanation:
6s -540 = 60 or 6s - 540 = -60
<u>First equation</u>
addition property of equality: 6s -540 + 540 = 60 + 540
simplify: 6s = 600
division property of equality: 6s/6 = 600/6
simplify: <em>s = 100</em>
<u>Second equation</u>
addition property of equality: 6s -540 + 540 = -60 + 540
simplify: 6s = 480
division property of equality: 6s/6 = 480/6
simplify: <em>s = 80</em>
Answer:
-12
Step-by-step explanation:
Let x be "the number."
"Three times a number" means 3x
"is 24 less than the number" means = x-24
Put them togehter:
3x = x-24
2x = -24
x = -12
Check: Is 3(-12) = 24 less than -12? YES.
Answer:
63.15% upcharge
Step-by-step explanation:
Answer:
a part of the population that represents the entire population
Step-by-step explanation:
Answer:
r = 16 cm
g = 34 cm
LA = 1708.16 cm^2
Step-by-step explanation:
We have that for the cone, the formula is as follows:
v = pi / 3 * r ^ 2 * h
the first thing they ask is to calculate the radius, therefore we solve for r
r ^ 2 = 3 * v / (pi * h)
replacing the volume and height, it remains:
r ^ 2 = 3 * 2560 * pi / (pi * 30)
r ^ 2 = 3 * 2560/30 = 256
r = 16
Now, to calculate the slant height, that is to say g, we can calculate it knowing the height and the radius:
g ^ 2 = r ^ 2 + h ^ 2
g ^ 2 = 16 ^ 2 + 30 ^ 2
g ^ 2 = 1156
g = 34
The lateral area of the cone is given by the following equation:
LA = pi * r * g
replacing
LA = 3.14 * 16 * 34
LA = 1708.16 cm ^ 2
the lateral area is 1708.16 cm ^ 2
