184 cubes difference
Explanation:
First guy made a 2x2x2 (L x W x H)
L: 2 x 2 = 4 ( twice as long)
W: 2 x 3 = 6 ( three times as wide)
H: 2 x 4 = 8 ( four times as high)
New block:
4 x 6 x 8 = 192
192 - 8 = 184 cubes different
Given:
Table of values.
The train travels at a constant speed.
To find:
The speed of train in miles per hour.
Solution:
From the given table consider any two points, i.e., (0.5,22.5) and (1,45).
The train travels at a constant speed. It means, there is a linear relationship between time and distance.
The average rate of change (Slope) of a linear relationship is
So, average rate of change in distance with respect to time is 45.
Therefore, the speed of the train is 45 miles per hour.
1: Ratio
2: Unit Rate
3: Scale Drawing
4: Similar Figures
5: US Customary System
6: Rate
7: Scale
I hope this helps! :)
Answer:
37.2
Step-by-step explanation:
when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.
therefore the corresponding side lengths are at the same ratio.
LM/KM = MN/LN
LM = 24
MN = 13
we can get LN via Pythagoras of the small triangle
LN² + MN² = LM²
LN² + 13² = 24²
LN² = 24² - 13² = 576 - 169 = 407
LN = sqrt(407) = 20.174241
now back to our main problem
24/KM = 13/sqrt(407)
24×sqrt(407)/13 = KM = 37.2
