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Mashutka [201]
2 years ago
5

Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole

can expect the sprinkler to cover?
Mathematics
1 answer:
Marysya12 [62]2 years ago
5 0

Answer:

153.9 ft²

Step-by-step explanation:

Given that:

Radius of circular lawn = 7 feets

To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn

Area of a circle, A = πr²

A = π * 7 * 7

A = 153.93804

A = 153.9 ft²

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Snowcat [4.5K]

Answer:

1/6

Step-by-step explanation:

If you divide the fractions to decimals 1/6 equals .16 which is closest to 0

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2 years ago
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The measures of angles of a hexagon 4x,5x,6x,7x,8x,9x.calculate the size of the largest angle.
grandymaker [24]

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

3 0
3 years ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0
2 years ago
Abdul's gas tank is 1/5 full. After he buys 7 gallons of gas, it is 7/10 full. How many gallons can Abdul's tank hold?
eduard

Answer: 14 gallons

Step-by-step explanation:

Let's call the total gallons of gas Abdul's tank can hold <em>x</em>.

Then, based on the information given in the problem, you can write the following expression:

\frac{1}{5}x+7=\frac{7}{10}x

Therefore, when you solve for x, you obtain the following result:

\frac{1}{5}x+7=\frac{7}{10}x\\\\\frac{1}{5}x-\frac{7}{10}x=-7\\\\-\frac{1}{2}x=-7\\\\-x=(-7)(2)\\x=14

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3 years ago
Write the number seven fifty -one with digits
NISA [10]
I’m guess you are looking for 751?
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