Answer:
Yes! There are 3 different explanations I have. Pick your favorite.
Step-by-step explanation:
So we are asked to see if the following equation holds:
![\frac{4 \text{ ft }}{6 \text{ ft}}=\frac{12 \text{ sec }}{18 \text{sec}}](https://tex.z-dn.net/?f=%5Cfrac%7B4%20%5Ctext%7B%20ft%20%7D%7D%7B6%20%5Ctext%7B%20ft%7D%7D%3D%5Cfrac%7B12%20%5Ctext%7B%20sec%20%7D%7D%7B18%20%5Ctext%7Bsec%7D%7D)
The units cancel out ft/ft=1 and sec/sec=1.
So we are really just trying to see if 4/6 is equal to 12/18
Or you could cross multiply and see if the products are the same on both sides:
![\frac{4}{6}=\frac{12}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B12%7D%7B18%7D)
Cross multiply:
![4(18)=6(12)](https://tex.z-dn.net/?f=4%2818%29%3D6%2812%29)
![72=72](https://tex.z-dn.net/?f=72%3D72)
Since you have the same thing on both sides then the ratios given were proportional.
OR!
Put 4/6 and 12/18 in your calculator. They both come out to have the same decimal expansion of .66666666666666666(repeating) so the ratios gives are proportional.
OR!
Reduce 12/18 and reduce 4/6 and see if the reduced fractions are same.
12/18=2/3 (I divided top and bottom by 6)
4/6=2/3 (I divided top and bottom by 2)
They are equal to the same reduced fraction so they are proportional.
Answer:
6 + 10b.
Step-by-step explanation:
We begin with: 9 + 3b -1 + 7b - 2 =
Combining like terms produces:
9 - 1 -2 + 3b + 7b -->
6 + 10b.
A) The two angles are supplementary and form a linear pair. This means that their combined measure is 180 degrees.
B) 2x + 68 = 180
C) subtract 68 from both sides. 2x = 112. Divide both sides by 2. x = 56.
If we plug 56 back into the equation 2x, we get 112. The if we add 112+68 we get 180, which means that the two are a linear pair.
Answer:
Step-by-step explanation:
larger radius R=87/2
smaller radius r=65/2
larger semi circle=1/2×2×π×R=π×R=π×87/2=87 π/2≈136.6 m
smaller semicircle =π×r=π×65/2=65 π/2≈102.1 m
length of track=87+65+136.6+102.1≈390.7 m