By the word "dilation" we mean to say that the new measurement of the sides of the triangle A'B'C' is increased by a factor from the original measurement. To determine the scale factor of the dilation, we can divide the measurement of the sides of the new triangle by the measurement of the sides of the old one.
dilation factor = A'/A = B'/B = C'/C
The exact value of the cone is the answer corresponding with B
Answer:
look at explanation
Step-by-step explanation:
To solve all of these questions you just need to scale. While scaling you can divide or multiply.
1.
(divide by 4 to get unit rate)
unit rate = ![\frac{45km}{1hr}](https://tex.z-dn.net/?f=%5Cfrac%7B45km%7D%7B1hr%7D)
2. If it takes one hour to travel 40 miles, then we don't have to scale or anything. We know
, the answer is...
"It'll only take one hour to travel 40 miles. This is correct because the unit rate is
. "
3. Knowing that the constant speed of the plane is
, we can scale then add half of the unit rate to get our answer.
x 3 =
800 x 3 = 2400
then add half of unit rate which is
= 400
so, our answer is ![\frac{2800 km}{3.5 hours}](https://tex.z-dn.net/?f=%5Cfrac%7B2800%20km%7D%7B3.5%20hours%7D)
4.
<--- ( divided by 2)
( multiplied x 2.5) ---> ![\frac{15 km}{2.5 hrs}](https://tex.z-dn.net/?f=%5Cfrac%7B15%20km%7D%7B2.5%20hrs%7D)
To get an easier way to find the answer, if possible you can scale back farther than the 1 hour mark.
Elmer would take 2 and a half hours to ride 15 km.
5. The boys speed is
. All we need to do is divide by 2.
= 4