Answer:
12 cm
Step-by-step explanation:
First, we find the scale factor from cone S to cone T.
ratio of volumes = (vol of T)/(vol of S) = (6144 pi cm^3)/(768 pi cm^3) = 8
The ratio of the volumes is 8:1
The scale factor, which is the ratio of linear dimensions (height, radius, etc.), is the cubic root of the ratio of the volumes.
scale factor = cubic root of 8 = 2
The height of cube T is 24 cm, so the height of cube S is 24 cm/2 = 12 cm.
Answer:
<em>Scott will take 221 minutes to run 52 km</em>
Step-by-step explanation:
<u>Speed</u>
The speed of an object can be calculated with the formula:

Where d is the distance traveled and t is the time taken.
Scott can run d=20 km in 85 minutes. Thus, his speed is:

Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:

Since the speed has been already determined:

Multiplying by the reciprocal of the denominator:

t = 221 min
Scott will take 221 minutes to run 52 km
Answer: 12.25miles.
Step-by-step explanation:
This is a simple proportion.
20 miles = 3.5miles
∴ 1 mile = 3.5/20
∴ 1hour 10minutes which is equivalent to 70minutes will be
= (3.5/20 x ⁷⁰/₁ ) miles
= 12.25miles
Answer:
32 km^2
Step-by-step explanation:
split the figure into 3 pieces
2*5=10
6*2=12
4*6=24/2=12
10+12+12=34