Answer:
176 in³
Step-by-step explanation:
Area is a 2-dimensional measure, so the scale factor for area of similar figures is the 2nd power of the linear scale factor. That is, the ratio of linear dimensions of the two figures is ...
smaller/larger = √(228/1425) = √(4/25) = 2/5 . . . . linear scale factor
Volume is a 3-dimensional measure, so the scale factor for volume of similar figures is the 3rd power of the linear scale factor. That is, the ratio of volumes of the two figures is ...
smaller/larger = (2/5)^3 = 8/125 . . . . . . . . volume scale factor
Multiplying this by the larger volume gives us the smaller volume:
(8/125)·(2750 in³) = 176 in³
Answer:
A. 15
Step-by-step explanation:
K is the constant in a table or equation. like k=x•y
4,950×3=1650
1650÷100=16.5
his commission is $16.5
Average speed for the entire trip, both ways, is
(Total distance) divided by (total time) .
We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.
-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.
-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes (5/12 hour) = 25 minutes.
Now we have everything we need.
Distance:
Going: 5 miles
Returning: 5 miles
Total 10 miles
Time:
Going: 50 minutes
Returning: 25 minutes
Total: 75 minutes = 1.25 hours
Average speed for the whole trip =
(total distance) / (total time)
= (10 miles) / (1.25 hours)
= (10 / 1.25) miles/hours
= 8 miles per hour