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
In this problem, we're going to use the 'PEMDAS' method.
First, we're doing the problem in the parenthesis.
44 - 4 = 40
Next in PEMDAS, we need to do the exponent.
6² = 6 x 6 = 36
Then we would do multiplication, but there is nothing to multiply so we move onto division.
40 / 2 = 20
Now we would add, but there is nothing to add so we move onto subtraction.
20 - 36 = -16
Our final answer would be -16.
Hope this helps!~
Answer:

or

Step-by-step explanation:
step 1
Find the equation of the line in point slope form

we have

substitute

step 2
Convert to slope intercept form

we have

Isolate the variable y



<h3>
Answer:</h3>

<h3>
Explanation:</h3>
<u>Sequence</u>: 1.2, 0.4, -0.4, – 1.2, -2,...
See that with every next term, the integers are decreasing by 0.8
- So, common difference (d) = -0.8
<u>recursive formula</u> : 

Answer:
3000
Step-by-step explanation: