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Semenov [28]
2 years ago
6

The area of a round table in Kim’s living room is 201 square inches. What is the circumference of the round table, to the neares

t hundredth of an inch? A.100.49 inchesC.50.24 inchesB.89.03 inchesD.25.12 inches
Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
4 0

Answer:

C. 50.24 inches

Step-by-step explanation:

The area of a circle can be represented by \pi r^{2}. To find the circumference, all we need to do is know the radius, and then we can plug that value into the circumference formula 2\pi r. So, to find the radius we see that:

\pi r^{2}  = 201

r = \sqrt{\frac{201}{\pi } }

So, the circumference is:

2\pi (\sqrt{\frac{201}{\pi } }), which is closest to the answer C) 50.24 inches.

Hope this helped! :)

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Briana bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85. Logan bought 2 bottles of ketchup and 5 bottles of m
zheka24 [161]
<h2>Answer:</h2><h2>The cost of ketchup bottle, x = 2.89</h2><h2>The cost of mustard bottle, y = 1.59</h2>

Step-by-step explanation:

Let the ketchup be represented as x and mustard as y

Briana  bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85

3x + 2y = 11.85 ...(1)

Logan bought 2 bottles of ketchup and 5 bottles of mustard for $13.73.

2x + 5y = 13.73 ...(2)

Multiplying eq (1) by 2, we get

6x + 4y = 23.7 ...(3)

Multiplying eq (2) by 3, we get

6x + 15y = 41.19 ...(4)

Subtracting eq (3) from (4),

we get 11y = 17.49

y = 1.59, substitute it in eq(1), we get

x = 2.89

Therefore, the cost of ketchup bottle, x = 2.89

The cost of mustard bottle, y = 1.59

3 0
2 years ago
Based on the given segment lengths, determine whether the segments can form a triangle.
murzikaleks [220]

For 3 sides to form a triangle two sides added together need to be greater then the 3rd side. You need to check all 3 combinations:

1. 11.5 + 10.5 = 22, 22> 6.1

11.5 + 6.1 = 17.6 17.6 > 10.5

10.5 + 6.1 = 16.6, 16.6 > 11.5

This one can make a triangle.

2. 9.5 + 3.5 > 4.5

9.5 + 4.5 > 3.5

4.5 + 3.5 < 9.5

Cannot make a triangle.

3. 8 + 6.7 > 1

6.7 + 1 < 8

Cannot make a triangle.

4. Can make a triangle

5. Can

6. Can

4 0
2 years ago
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear f
Zolol [24]

Answer:

<u>Antonio had a head start of 3 meters.</u>

Step-by-step explanation:

I took the test on Edge and got it correct.

<em>(Sorry, this is late and you probably don't need it anymore.)</em>

9 0
2 years ago
Read 2 more answers
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
Alexeev081 [22]

Answer: 387

Step-by-step explanation:

Given : Standard deviation: \sigma=2.3

Margin of error : 0.15

Critical value for 80% confidence interval = 1.2816

Required minimum sample size : n=(\dfrac{z_{\alpha/2}\cdot \sigma}{E})^2

\\\\=(\dfrac{1.2816\times2.3}{0.15})^2\\\\=386.16966144\approx387

Hence, the minimum sample size required to estimate the mean usage of water = 387

4 0
2 years ago
According to the chart below, what percentage of Ralph’s expenses are items other than taxes?
pochemuha

Answer:

  • <u>65%</u>

Explanation:

Please, see attached the chart corresponding to this question.

The<em> chart</em> is a pie chart that shows the percentage composition of the <em>expenses </em>and uses color to identify each item.

The items corresponding to<em> taxes</em> are:

  • <em>Federal tax: 29%</em>
  • <em>State tax: 6%</em>

All the other expenses are not taxes.

Add the two items that are taxes: 29% + 6% = 35%.

Hence, the expenses that are not taxes can be calculated by difference:

  • 100% - 35% = 65%.

8 0
2 years ago
Read 2 more answers
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