The rule for quotients of similar bases with different exponents is:
(a^c)/(a^b)=a^(c-b) in this case:
15^18/(15^3)=15^15
Answer:
<u>416 square centimeters</u>
Step-by-step explanation:
Formula for finding area of a trapezoid :
<u>A = 1/2 x (a + b) x h</u>
- a and b = parallel sides of the trapezoid
- h = height of the trapezoid
Solving :
- A = 1/2 x (38 + 14) x 16
- A = 8 x 52
- A = <u>416 square centimeters</u>
The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:

To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:
For PQ
For QR
Answer:
You have that the lengths for the other two sides of triangle PQR are:
Answer:
Length = 22 feet Width= 8.5 feet
Step-by-step explanation:
Perimeter= 61
Let Width= x
Length= 2x+5
Perimeter= 2l + 2w
61= 2(2x+5) + 2x
61 = 2(2x+5+x)
61/2 = 3x+5
30.5 -5 = 3x
25.5 = 3x
25.5/3 =x
x= 8.5
Hence, width = 8.5 feet
Then, the length = 2x+5 = 2(8.5) +5 = 22 feet
Hope this helps!