Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
Given a sector of a circle with the following dimensions:
Radius of the circle =60 inches
Central Angle of the sector =30°
(a)Arc Length
Arc Length 

(b)Area of the sector
Area of the sector 

Answer:
55/4
Explanation:
Let's solve your equation step-by-step.
4
/5x−8=3
Step 1: Add 8 to both sides.
4
/5x−8+8=3+8
4
/5
x = 11
Step 2: Multiply both sides by 5/4.
(
5
/4
)*(
4
/5
x)=(
5
/4
)*(11)
x= 55/4
Answer:
x=
55
/4
Hope that helps :)
Given: Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon Yu bought 3 pieces of ribbon. Nailah bought 5 pieces of ribbon. Elena bought 6 pieces of ribbon.
To find: Who can buy which ribbon
Solution:
Ribbon Sizes
1 2/3 = 5/3 yard
4/5 yard
3 1/2 = 7/2 Yard
Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon
Yu bought 3 pieces of ribbon
=> 3 * 5/3 = 5
3 * 4/5 = 2.4
3 * 7/2 = 10.5
Nailah bought 5 pieces of ribbon
=> 5 * 5/3 = 8.33
5 * 4/5 = 4
5 * 7 /2 = 17.5
Elena bought 6 pieces of ribbon
=> 6 * 5/3 = 10
6 * 4/5 = 4.8
6 * 7 /2 = 21
Only value between 7 & 9 is 5 * 5/3 = 8.33
hence Nailah only can buy 1 2/3 = 5/3 yard ribbon
or there is some mistake in the data
Answer:
The larger angle is 143
Step-by-step explanation:
x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)
4x - 5 = y
x + (4x - 5) = 180 Remove the brackets.
x + 4x - 5 = 180
5x - 5 = 180 Add 5 to both sides
5x - 5 +5 = 180 + 5 Combine
5x = 185 Divide by 5
5x/5=185/5
x = 37
y = 4*37 - 5
y = 148 - 5
y = 143