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evablogger [386]
3 years ago
12

Perimeter with radius 14

Mathematics
1 answer:
nevsk [136]3 years ago
6 0
360^o-150^o=210^o\\\\\dfrac{210^o}{360^o}=\dfrac{7}{12}

P_{LQM}=\dfrac{7}{12}\cdot2\pi\cdot14=\dfrac{7}{3}\pi\cdot7=\dfrac{49\pi}{3}\ cm

P_{QRP}=\dfrac{1}{2}\cdot14\pi=7\pi\ cm

P_F=\dfrac{49\pi}{3}+7\pi+3\cdot14\approx\dfrac{49}{3}\cdot\dfrac{22}{7}+7\cdot\dfrac{22}{7}+42=166\dfrac{2}{3}\ cm^2

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Dustin has only nickels and quarters in his piggy bank. He was 49 total for combined value of $8.85. How many of each type of co
Troyanec [42]
Let's use the variables N and Q for the number of nickels and the number of quarters.

We know there are 49 total coins, so we can write the following equation:

N + Q = 49

We can solve this equation for one variable which will help in the next step. Let's solve for N:

N = 49 - Q

Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.

0.05N + 0.25Q = 8.85

Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.

0.05(49-Q) + 0.25Q = 8.85

Distribute and combine like terms.

2.45 - 0.05Q + 0.25Q = 8.85

2.45 + 0.2Q = 8.85

0.2Q = 6.4

Q = 32

Plug 32 in for Q in N + Q = 49 to find the number of nickels.

N + 32 = 49

N = 17

Dustin has 32 quarters and 17 nickels.


4 0
3 years ago
out of a survey of 1000 households, 460 had at least one dog or cat as a pet. What is the ratio of pet owners to household?
NeTakaya

Answer:

14:25

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5 0
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Read 2 more answers
Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent. Five-eighths right arrow 8. 0 divided
adoni [48]

Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100 and it can be determined by using fraction or percentage.

<h2>Given that,</h2>

Alejandro uses the steps below to convert 5/8 to a percent.

8 divided by 5 = 1.6.,

1.6 = 160 percent

<h3>We have to determine,</h3>

Which best explains Alejandro's error?

<h3>According to the question,</h3>

Alejandro uses the steps below to convert 5/8 to a percent.

8 divided by 5 = 1.6.,

1.6 = 160 percent

The division was computed incorrectly.

The division was completed in the incorrect order. The decimal was moved to the right too many times.

The decimal was moved to the right instead of the left.

Alejandro uses the steps below to convert 5/8 to a percent.

To convert 5/8 into percentages following all the steps given below.

  • Step1; Firstly 5 is divided by 8,

                   = \dfrac{5}{8} \\\\ = 0.625

  • Step2; To convert 0.625 into percentage multiplied by 100,

                    \rm = 0.625 \times 100\\\\= 62.5 \ percent

Hence, Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100.

For more details about the Equation refer to the link given below.

brainly.com/question/18187260

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2 years ago
First, complete the story below so that it can be represented by the equation 14x- 15 = 11x
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Answer would be 65 copies
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3 years ago
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