Answer:
Option 4 - 
Step-by-step explanation:
Given : In a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3π/2 radians.
To find : What is the length of the arc?
Solution :
Length of an arc is given by:
where r is the radius of the circle, r= 6 ft.
and 
is the angle in radian, 
Substitute the value given in the formula,
Therefore, Option 4 is correct.
The arc of length is
The first question. 7/24
Explanation: first you need to get the fractions to the same denominator so you use lowest common multiples
The lowest common multiple of 8 and 3 is 24 so you times both 3 and 8 by 3 giving you 9/24 and then you times both 1 and 3 by 8 giving you 8/24
When you add these together you get 17/24 so the rest of that would be 7/24
Answer:
In exact form it is w=-33/8
In decimal form it is w=-4.125
In mixed number form it is w=-4 1/8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let L represent the length of the triangle.
Let W represent the width of the triangle.
The length of a rectangle is four more than three times the width. This means that
L = 3W + 4
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of this rectangle is at least 70 square centimeters, an inequality that can be solved to find the width of the rectangle is
2(L + W) ≥ 70
L + W ≥ 70/2
L + W ≥ 35
