Answer:
Maria needs 3 lengths of gutter of finish the shed.
Step-by-step explanation:
We need to calculate the perimeter of the rectangular shed to know how much 5 feet gutter is needed.
The perimeter of the shed is p = 2(l + b) where l = 10ft and b = 9 ft
p = 2(10 + 9) = 2(19) = 38 ft
Now, the perimeter of the shed also equal 23 ft of gutter already installed plus 5x ft gutter where x = number of gutters.
So 23 + 5x = 38
collecting like terms, we have
5x = 38 - 23
5x = 15
dividing through by 5 we have
5x/5 = 15/5
x = 15/5
x = 3
So, Maria needs 3 lengths of gutter of finish the shed.
Answer:
It is rotated by 72 degrees.
Step-by-step explanation:
- Since it is a regular polygon,
when u connect all the corners of it to the middle of the polygon, they will meet at a point i.e, CENTER.
- The sum of the angles subtended by all the sided at the center will be 360 degrees.
- As there are 60 sides, the angle subtended by each side at the center will be 6 degrees.
Because,
- As the polygon rotates every minute and it is rotated for 12 minutes,
( For every minute, it will be rotated by 6 degrees.
so, for 12 minutes it should be rotated by 12 times 6 ( 12*6) = 72 degrees)
- So, after 12 minutes it will be rotated by 72 degrees.
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Answer:
4.5 miles per hour
Step-by-step explanation:
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
Distance = 3/4 of a mile
Time taken on Monday = 1/6 of an hour.
What is Selma's unit rate in miles per hour for Monday's run?
Unit rate in miles per hour for Monday's run = distance ÷ time taken
= 3/4 ÷ 1/6
= 3/4 × 6/1
= (3 * 6) / (4 * 1)
= 18/4
= 4.5 miles per hour
Unit rate in miles per hour for Monday's run = 4.5 miles per hour
