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3 years ago

6

WILL AWARD BRAINIEST: Find the area of the shaded polygons below:

1 answer:

IRINA_888 [86]3 years ago

4 0

Answer:

<h2>9 square units</h2>

Step-by-step explanation:

You can use the Pick's formula:

$A=i+\dfrac{b}{2}-1$

Where

$i$ - the number of lattice points inside the polygon

$b$ - number of lattice points on the border located on the perimeter of the polygon

From the picture we have:

$i=5\\\\b=10$

Substitute:

$A=5+\dfrac{1}{2}\cdot10-1=5+5-1=10-1=9$

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3 years ago

Read 2 more answers

Last year, Keiko had $20,000 to invest. She invested some of it in an account that paid %7 simple interest per year, and she inv

erma4kov [3.2K]

Answer:

$P_2 = \$6,000\\P_1 = \$14,000$

Step-by-step explanation:

The formula of simple interest is:

$I = P_0rt$

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_______________________________________________

<u><em>For the first account</em></u> r = 0.07 per year.

Then the formula is:

$I_1 = P_1r_1t$

Where

$P_1$ is the initial amount in account 1 at a rate $r_1$ during t = 1 year

$I_1 = P_1(0.07)(1)\\\\I_1 = 0.07P_1$

<u><em>For the second account </em></u>r = 0.05 per year.

Then the formula is:

$I_2 = P_2r_2t$

Where

$P_2$ is the initial amount in account 2 at a rate $r_2$ during t = 1 year

Then

$I_2 = P_2(0.05)(1)\\\\I_2 = 0.05P_2$

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Substituting the values $I_1$ , $I_2$ and I we have:

$1,280 = 0.07P_1 + 0.05P_2$

As the total amount that was invested was $20,000 then

$P_0 = P_1 + P_2 = 20,000$

Then we multiply the second equation by -0.07 and add it to the first equation:

$0.07P_1 + 0.05P_2 = 1.280\\.\ \ \ \ \ \ \ \ +\\-0.07P_1 -0.07P_2 = -1400\\-------------$

$-0.02P_2 = -120\\\\P_2 = 6,000$

Then $P_1 = 14,000$

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3 years ago

What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B32%7D" id="TexFormula1" title="\frac{12}{32}" alt="\frac{12}{32}" al

Likurg_2 [28]

$\dfrac{12}{32}=\dfrac{12:4}{32:4}=\dfrac{3}{8}\to\boxed{A}$

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3 years ago

If a circle is dilated by a scale factor of

RSB [31]

Answer/Step-by-step explanation:

The scale factor is missing in the question. However, here's how to find the length of the new radius if given a known scale factor.

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Therefore,

Length of new radius = 18m × scale factor.

If the scale factor is a fraction, it means the new length would be smaller than 18m. But if the scale factor is a whole number, the new length of the radius would be greater than 18m.

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<em>*If scale factor given is ½, new radius length = 18m × ½ = 9m</em>

<em>*If scale factor given is 2, new radius length = 18m × 2 = 36m</em>

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3 years ago