Answer: 89.7 ft
<u>Step-by-step explanation:</u>
Find the arc length (s) of the semi-circle. Then divide that length by 7.
s = r · θ where r is the radius and θ is the angle in radians
s = (400 ÷ 2) · π <em>(radius is diameter divided by 2)</em>
= 200π
= 628.3
The length of the arc is 628.3 ft. Divide that by 7 to find the distance between each home.
628.3 ÷ 7 = 89.7
Answer:
The least common denominator is (b-8)(b+8)(b-1)
Step-by-step explanation:
We are given expression as
Firstly, we will factor both denominators
so, we can plug it back
First term denominator is
(b-8)(b+8)
Second term denominator is
(b+8)(b-1)
So,
Least common denominator will be
(b-8)(b+8)(b-1)
So, we get
Answer:
9/4 * 3/4 = 27/16 = 1 
Step-by-step explanation:
Answer:
Jo's age = x = 8 years
Step-by-step explanation:
Let
Jo's age = x
Jo's mother, Anne's age = 4x
In four years time, Anne will be three times as old as Jo.
Jo's age =3( x + 4)
Jo's mother, Anne's age = 4x + 4
How old is Jo?
Equate Jo's age and his mother's age
3(x + 4) = 4x + 4
3x + 12 = 4x + 4
3x - 4x = 4 - 12
-x = - 8
Divide both sides by -1
x = 8
Therefore,
Jo's age = x = 8 years
