Answer:
$5367.54
Step-by-step explanation:
9000 = P(1 + .03/12)^207*
9000 = P×1.676744643
P = 5367.54
*207 = 12 x 17.25
Yes, the two rectangles are similar, because rectangle 2 is a dilation of rectangle 1.
<h3>
Are the two rectangles similar?</h3>
We know that rectangle 1 has dimensions L and W.
And rectangle 2 is made by multiplying the dimensions of rectangle 1 by a factor k > 0.
Then, rectangle 2 is just a dilation of rectangle 1, this means that in fact, the two rectangles are similar by definition.
Then:
Dimensions of rectangle 1:
- Length = L
- Width = W.
- Perimeter = 2*(W + L)
- Area = W*L
For rectangle 2:
- Length = k*L
- Width = k*W
- Perimeter = 2*(k*L + k*W) = k*(2*(L + W))
- Area = (k*L)*(k*W) = k²(L*W)
Above we can see that the perimeter of rectangle 2 is k times the perimeter of rectangle 1, and the area of rectangle 2 is k squared times the area of the rectangle 1.
If you want to learn more about similar figures:
brainly.com/question/14285697
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3 times the number of athletes.
your ratio is 3:1 so the musicians are three and athletes are one so it’s three times the athletes
Answer:
7.5 mph
Step-by-step explanation:
Given :
Distance traveled in miles = 10 miles
Time taken = 1 hour 20 minutes
In other to express average speed on terms of miles per hour :
Time in hour = 80 / 60 = 1.333333 hours
Average speed = Distance traveled / time taken
Distance = 10 miles / 1.33333 hours
Distance = 7.5 miles per hour