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adell [148]
3 years ago
11

the area of Mike's rectangular garden is 360 square feet. The garden is 12 feet wide. what is the length of fencing Mike will ne

ed to buy in order to fence in the garden completely on all four side? Show your work.
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0
Area of a rectangle = length * width
360 = length * 12
360/12 = length
30 feet = length
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a circle with a radius of 1 cm sits inside a 3cm x 3cm rectangle. What is the area of the shaded region (the rectangle is shaded
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Answer:

The area of the shaded region is 5.86\ cm^{2}

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the rectangle minus the area of the circle

The rectangle is a square

so

A=b^{2} -\pi r^{2}

we have

b=3\ cm

r=1\ cm

assume

\pi =3.14

substitute the values

A=3^{2} -(3.14)(1)^{2}

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5 0
3 years ago
Read 2 more answers
On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte
34kurt

Answer:

y = (x+4)^{2}+6

Step-by-step explanation:

The parabola with vertex at point (h,k) is described by the following model:

y - k = C\cdot (x-h)^{2}

The equation which satisfies the conditions described above:

y - 6 = (x+4)^{2}

y = (x+4)^{2}+6

The two points are evaluated herein:

x = -6

y =(-6+4)^{2}+6

y = (-2)^{2}+6

y = 4 + 6

y = 10

x = -2

y = (-2+4)^{2}+6

y = 2^{2} + 6

y = 4 + 6

y = 10

The equation of the translated function is y = (x+4)^{2}+6.

4 1
3 years ago
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The number of violent crimes committed in a day possesses a distribution with a mean of 2.2 crimes per day and a standard deviat
VARVARA [1.3K]

Answer:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And replacing we got:

\mu_{\bar X}= 2.2

\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6

Step-by-step explanation:

For this case we have the following info given:

\mu = 2.2 represent the mean

\sigma = 6 represent the deviation

We select a sample size of n=100. This sample is >30 so then we can use the central limit theorem. And we want to find the distribution for the sample mean and we know that the distribution is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And replacing we got:

\mu_{\bar X}= 2.2

\sigma_{\bar X}= \frac{6}{\sqrt{100}}= 0.6

6 0
3 years ago
Find the hypotenuse of an isosceles right triangle when the legs each measure 3\sqrt{x} 2inches.
Tresset [83]

The hypotenuse of the right triangle measures 3 units.

<h3>How to find the hypotenuse?</h3>

Here we know that both legs measure:

L  =\frac{3}{\sqrt{2} }

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

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Then we conclude that the hypotenuse of the right triangle measures 9 units.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

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2 years ago
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