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3 years ago

What is 1/8th of a full rotation?

1 answer:

8 0

Well a full rotation is 360 degrees so what you would do is 1/8 of 360 and to do this you would divide 360 by 8 which is 45 and then you would times by 1 so the answer is 45 degrees. To make this simpler if you have a circle and split it into 4 each segment is 90 degrees and to get an extra 4 you'd divide each segment again by 2 and 90/2 is 45

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ASHA 777 [7]

The area of the given figure is 576 cm sq.

The perimeter of the given figure is 96 cm.

Step-by-step explanation:

The shape consists of one semicircle and one square which is cut by a semicircle.

To find Area:

Find the area of semicircle= (πr^2)/2

where r is the radius= diameter/2= 24/2= 12 cm

Area of semicircle= π(12)(12)/2= 144π/2= 72π cm sq.

Find the area of square= a^2

where a is the side of square, a=24 cm.

Area of the square= 24*24= 576 cm sq.

To find the total area of the given figure,

Area of the figure= Area of semicircle+(area of square- area of semicircle)

= 72π+576-72π =576 cm sq.

To find perimeter:

Perimeter of semicircle= (2πr)/2

= (2*12*π)/2= 12π cm

Perimeter of square= 4a =4*24 =96 cm

Perimeter of the given figure= perimeter of semicircle+(perimeter of square- perimeter of semicircle)

= 12π+96+12π =96 cm.

4 0

3 years ago

Consider a credit card with a balance of $7000 and an APR of 16.5 %. If you want to make monthly payments in order to pay off th

shtirl [24]

9514 1404 393

Answer:

$7641.24

Step-by-step explanation:

The amortization formula tells the payment amount.

A = P(r/n)/(1 -(1 +r/n)^(-nt))

where principal P is paid off in t years with n payments per year at interest rat r.

Using the given values, we find ...

A = $7000(0.165/12)/(1 -(1 +0.165/12)^-12) = $7000×0.01375/(1 -1.01375^-12)

A = $636.77

The total of 12 such payments is ...

$636.77 × 12 = $7641.24

You will pay a total of about $7641.24.

_____

Additional comment

Since the payment amount is rounded down, the actual payoff will be slightly more. Usually, the lender will round interest and principal to the nearest cent on each monthly statement. The final payment will likely be a few cents more than the monthly payment shown here.

7 0

2 years ago

X/3 -6 =y Solve for x

Paul [167]

Answer:

x= 3(y+6) or x = 3y + 18

Step-by-step explanation:

get the "x" by itself.

so first +6 on both sides of the equation to make it x/3=y+6

then multiply both sides by 3 to make it x=(y+6)*3

3 0

2 years ago