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3 years ago

Find the area of the polygon

Mathematics

1 answer:

Sholpan [36]3 years ago

8 0

Answer:

A= 288 yd

Step-by-step explanation:

First step is to split the polygon into 3 rectangles. Once done, I want to deal with the rectangle on the left side, so I multiply 14 and 3 together. I got the 14 because on the other side of the polygon which has the same width is 14. Remember the formula for a rectangle is A=lw. 14 x 3 = 42. The rectangle has an area of 42 yd. Moving on to the bigger rectangle in the middle I can see that 26 yd is the whole length of the polygon, but not the middle rectangle. That's why to get the length for it I have to add the 3 yd and 4 yd together. This is because 3 and 4 are lengths. 3 + 4 = 7. Now I subtract it by 26 because I want to know the length of the middle rectangle. 26 - 7 = 19. The length of it is 19 yd. In order to find the width of the middle rectangle I subtract 14 by 4. I do this because 14 is the width of the whole polygon, but to know the width of the middle rectangle I take 4 and subtract it. 14 - 4 = 10. The width of it is 10 yd. Now multiply the length and the width of it. 19 x 10 = 190 yd. The right rectangle has a width of 14 yd. The length of it is 4 yd. Multiply them. 14 x 4 = 56 yd. The final step is to add all the rectangles areas together. 42 + 56 + 190 = 288 yd. The answer is 288 yd. Hope this helps!

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I need an explanation for the problem 4v2=-12v-9. I don't understand why it factors into 4v+3 and 4v+3

kirza4 [7]

Answer:

The factors are $2v+3,2v+3$ .

The factors are not $4v+3,4v+3$

Step-by-step explanation:

Equation is $4v^2=-12v-9$ .

This equation can be written as follows:

$4v^2+12v+9=0$

Here,

$12v=6v+6v$

Therefore,

$4v^2+6v+6v+9=0\\2v(2v+3)+3(2v+3)=0\\(2v+3)(2v+3)=0$

So, the factors are $2v+3,2v+3$ .

The factors are not $4v+3,4v+3$

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3 years ago

Ali’s wage was increased from 120$ to 132$ per week. find the increase as fraction on its simplest form, as a percentage of the

Anettt [7]

Well the increase is 132/120. Simplify by dividing 12 from the numerator and the denominator, you should get 11/10.
11/10 is also 110%

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3 years ago

Please help 18939290201010

aalyn [17]

Answer: 3 3/5

3 3/4=3.75

3 3/5=3.6

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3 years ago

He mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sa

mezya [45]

Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg

Step-by-step explanation:

Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.

Let $\mu$ be the population mean .

We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.

i.e. Null hypothesis : $H_0:\mu=140$

Alternative hypothesis for two tail hypothesis has sign (≠).

i.e. Alternative hypothesis : $H_1 : \mu\neq140$

∴ The hypotheses for a two-tailed test of the claimed potassium content:

H0: μ = 140 mg vs. H1: μ ≠ 140 mg

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3 years ago

Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af

Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

$A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\$

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

$5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29$

In the 10 years, the refund she gets,

$A_r=63.29\times12\times100\\A_r=7594.8$

Interest paid by her is,

$I=7594.8-5500\\I=2094.8$

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

brainly.com/question/24274034

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2 years ago