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3 years ago

Andrea has 18 yards of fabric. how many 4 inch pieces can she cut from her original piece? please explain

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

4 and a half 4 inch pieces can be cut

dlinn [17]3 years ago

4 0

4 and a half wil be extra. you divide 18 by 4

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The circumference of a circle is 26 pi what is the area in square inches of the circle

melisa1 [442]

circumference=

$2\pi \: radius$

$26\pi = 2\pi \: raduis \:$

$\frac{26\pi}{2\pi} = raduis$

radius = 13

area of circle =

$\pi {raduis}^{2}$

area of circle=

$\pi {13}^{2}$

area of circle=

$169\pi$

8 0

3 years ago

HELP ME PLEASE <br> solve the right triangle

Amiraneli [1.4K]

ST = 7.2

RT = 4.04

m∠S = 34°

Solution:

Given ΔRST is a right triangle.

RS = 6, ∠T = 56°

$$\csc A=\frac{\text {Hypotenuse} }{\text {Opposite side}}$

$$\csc A=\frac{ST}{RS}$

$$\csc 56^\circ=\frac{ST}{6}$

$$\csc 56^\circ \times 6=ST$

1.206 × 6 = ST

7.236 = ST

ST = 7.2

$$\cot A=\frac{\text {Adjacent side} }{\text {Opposite side}}$

$$\cot A=\frac{RT}{RS}$

$$\cot 56^\circ=\frac{RT}{6}$

$$\cot 56^\circ \times 6=RT$

0.674 × 6 = RT

4.044 = RT

RT = 4.04

To find the measure of angle S.

Sum of the interior angles of the triangle = 180°

m∠R + m∠S + m∠T = 180°

90° + m∠S + 56° = 180°

m∠S + 146° = 180°

m∠S = 180° – 146°

m∠S = 34°

8 0

3 years ago

What is the area of a rectangle with the length of 43 inches and a width of 25 inches?

Lorico [155]

1.72 is the area to the rectangle

4 0

3 years ago

Read 2 more answers

Using a spreadsheet program, create an amortization schedule for a 30-year mortgage of $500,000 at an annual interest rate of 4.

madreJ [45]

This exercise requires the ability to create Amortization Schedules Using a Spreadsheet program. Based on the information given about the Amortization of the loan, the principal payable per month became greater than the interest payable per month on the 159th month (given that the loan amount is $500,000.

<h3>In which month does the amount of principal in a monthly payment first exceed the amount of interest?</h3>

The amount of principal in a monthly payment first exceeds the interest payment In 159th Month. The interest on this month is $1, 248.39 while the principal on this month is $1, 205.46.

It is to be noted that when a loan is taken, the constituents of the amounts being paid back is the Principal and part of the interest on the loan.

<h3>How do you Calculate Amortization of Loans?</h3>

The yearly interest rate must be divided by 12.

Your monthly interest rate, for instance, will be 0.3525 percent if your annual interest rate is 4.23 percent (0.0423 annual interest rate x 12 months).

Additionally, you'll add 12 to the number of years remaining on your loan term.

<h3>How much interest is repaid for the term of the loan?</h3>

The total amount of interest that is paid for the term loan is $383,385.54

<h3>If the loan amount was $750,000 instead of $500,000, would the month in which the amount of principal in a monthly payment first exceeded the amount of interest change?</h3>

Yes it would change. It would change to the 165th month. In this month, the interest paid is $1, 834.00 while the principal paid back is $1,846.77. See the attached image for answer C.

Learn more about Amortization at;
brainly.com/question/10561878
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