Answer:
8.1
Step-by-step explanation:
The perimeter of a circle means the circumference. In this question it says the perimeter of a quarter circle is 17.85 miles and we want to find the quarter circle’s radius.
We know that the perimeter of the quarter circle is 17.85 which means that the 2 radii and the circumference of the circle sum to 17.85.
The formula to work out the perimeter of a quarter circle is
. We can form an equation to work out the radius so,
= 17.85
→ Multiply everything by 2 to get rid of the fraction
4r + π = 35.7
→ Minus π from both sides to isolate 4r
4r = 32.55840735
→ Divide both sides by 4 to isolate 4
r = 8.139601837
The radius of the quarter circle is 8.1 miles to 1 decimal place
Answer: 187
Step-by-step explanation:
negative cancels negative so that will turn to positive. (-) x (-) = +
100- (-87)
=
100 + 87
= 187
Answer:

Step-by-step explanation:
Given
See attachment for ABCD and A'B'C'D'
Required
Determine the dilation rule
Using AB and A'B' as points of references;


The dilation factor (k) is calculated as:

This gives:

Factorize


Hence, the scale factor is 2.5
The dilation rule is:


