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ch4aika [34]
3 years ago
10

A square has a perimeter of 40 m. What is the length of each side?

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
8 0

Answer: Each side is 10 m

Step-by-step explanation: The perimeter is the total length of all the sides.

A square has 4 equal sides, so you divide the perimeter by 4.

40m÷4 = 10m

bekas [8.4K]3 years ago
7 0

Answer:

10 m

Step-by-step explanation:

A square has all equal side lengths. If that is the case, the we have 4 sides that equal each other:

x + x + x + x = 40 m

4x = 40m

x = 10m

So each side is 10 m long.

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What is the area of a regular 16-gon with a radius of 15 feet? Round your answer to the nearest tenth.
Sedbober [7]

Split up the 16-gon into 16 congruent isosceles triangles. Cut each of these isosceles triangles in half to get a right triangle.

The radius of the 16-gon corresponds to the hypotenuse of any of these 32 right triangles. As you probably know, the area of a triangle is half the product of its base and height. For a right triangle, the base and height can be taken to be the two legs. So you need to find their lengths.

Recall that the exterior angles of any convex polygon sum to 360º in measure. For a regular polygon, these angles are all congruent. There are 16 of them in this case, so they each have measure (360/16)º = 22.5º.

Interior angles are supplementary to exterior angles, which means each interior angle of the 16-gon has measure (180 - 22.5)º = 157.5º.

When we split up the 16-gon into isosceles triangles, the "base angles" are equal in measure to half the measure of the interior angles, since each hypotenuse bisects the interior angle. So each base angle has measure 78.75º.

In each right triangle, we then have base <em>b</em> and height <em>h</em> such that

sin(78.75º) = <em>h</em>/15

cos(78.75º) = <em>b</em>/15

Solve for <em>h</em> and <em>b</em> to get

<em>b</em> = 15 cos(78.75º)

<em>h</em> = 15 sin(78.75º)

Then the area of each right triangle is

1/2 <em>b h</em> = 225/2 sin(78.75º) cos(78.75º) = 225/4 sin(157.5º)

and so the area of the 16-gon is

32(1/2 <em>b h</em>) = 1800 sin(157.5º) ≈ 688.8 sq. ft.

4 0
3 years ago
If I make 11.50 an hour working full time (40 hours a week) how much money do i make a year after deducting 60 dollars of taxes
Kazeer [188]
Given:
hourly rate = 11.50
hours worked in a week = 40 hours
taxes per moth = 60

Every month may be 4 weeks or 5 weeks but we know that 1 year has 52.1429 weeks.

Let us compute for the whole year:

Earnings:
11.50 /1 hour * 40 hours/1week * 52.1429 weeks/1year  
= 11.50 * 40 *  52.1429/year
= 23,985.734 per year

Taxes:
60 / per month * 12 months / 1 year
= 60 * 12/year
= 720 per year

Net earning per year
23,985.734 - 720 = 23,264.734 

Net earning per month
23,264.734 ÷ 12 months = 1,938.81 

You will earn 23,264.73 annually from a monthly earning of 1,938.81
7 0
3 years ago
A small jar of salsa contains 12 1/2 cup of salsa. A large jar of salsa contains 75 ounces. How many small jars of salsa is equa
Nata [24]

Answer:

6

Step-by-step explanation:

75 divided by 12.5 equals 6 cups of salsa

3 0
3 years ago
C = 0.20m + 2.00 what is the charge for 1mile ride?
RUDIKE [14]
All you have to do is substitute the 1 into the m for the mile ride:
C = 0.20(1) + 2.00 = 0.20 + 2.00 = 2.20

The charge for 1 mile ride is $2.20.
5 0
3 years ago
ILL GIVE BRAINLIEST
r-ruslan [8.4K]

Answer:

680

Step-by-step explanation:

8500x.02x4=680

You do the amount deposited then you multiply that by the intrest rate ( but with the intrest rate you must move the decimal 2 times to the right) then you multiply how many years

5 0
2 years ago
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