Answer:
The correct choice is option B. 3,429
Step-by-step explanation:
When rounded to the nearest hundred, 3429 becomes 3400.
Answer: height=6, width=9 and height=15, width=22.5
Step-by-step explanation:
If the rectangle has a height (
) to width (
) ratio of 3:4.5:
![\frac{h}{w}=\frac{3}{4.5}=0.66](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bw%7D%3D%5Cfrac%7B3%7D%7B4.5%7D%3D0.66)
We can find other dimensions that fit this relation by multiplying the same number in the numerator as in the denominator.
For example:
If we multiply
by
:
![(\frac{3}{4.5})(\frac{2}{2})=\frac{6}{9}=0.66](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4.5%7D%29%28%5Cfrac%7B2%7D%7B2%7D%29%3D%5Cfrac%7B6%7D%7B9%7D%3D0.66)
As we can see
gives ues the same result as ![\frac{3}{4.5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4.5%7D)
Another example:
If we multiply
by
:
![(\frac{3}{4.5})(\frac{5}{5})=\frac{15}{22.5}=0.66](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4.5%7D%29%28%5Cfrac%7B5%7D%7B5%7D%29%3D%5Cfrac%7B15%7D%7B22.5%7D%3D0.66)
As we can see
gives ues the same result as ![\frac{3}{4.5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4.5%7D)
A full rotation is 360 degrees, divide 360 by the rotation given in the problem:
360 / 120 = 3
A triangle has 3 inside angles, so the answer would be an equilateral triangle.
Answer: it will take 2.5 hours for both people to meet after person B leaves.
Step-by-step explanation:
The distance between the house of person A and his cousin's house is 234 miles.
At the point where they meet, they would have travelled 234 miles.
Person A travelled at an average speed of 44 miles per hour.
Let t represent the time spent by Person A in travelling from his house to the point where they meet.
Distance = speed × time
Distance covered by person A would be
44 × t = 44t
One and half hours later, person B leaves his house to visit person A, travelling at an average speed of 62 miles per hour. This means that total time spent by person B in travelling to the point where they meet is (t - 0.5) hours. Distance covered would be
62(t - 0.5) = 62t - 31
Since the total distance covered is 234 miles, then
44t + 62t - 31 = 234
106t = 234 + 31 = 265
t = 265/106 = 2.5 hours