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masya89 [10]
3 years ago
5

A garage door is 15 feet wide and 6 feet high. It is painted white, except for a rectangular panel 1 foot high an 9 feet wide th

at is brown. How much of the gatage door is white?
Mathematics
1 answer:
Sloan [31]3 years ago
3 0

First: find area of the entire door

15*6=90

then find area of the brown spot:

9*1=9

finally: subtract

90-9=81

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Find the area of the regular polygon below. leave your answer in simplest radical form.
Licemer1 [7]

Answer:

384√3 in²

Step-by-step explanation:

Given in the question a regular 6 sided polygon

To find it's area you have to use the following formula

<h3>      1/2 x perimeter x apothem</h3>

<em>Perimeter = the sum of the lengths of all the sides </em>

<em>Suppose length of one side = x</em>

<em>Apothem = a segment that joins the polygon's centre to the midpoint of any side that is perpendicular to that side = 8√3</em>

<em />

Since the polygon have 6 sides so

perimeter = 6x

<h3>x = 2(8√3)/√3</h3>

x = 2(8)

x = 16

perimeter = 6(16) = 96 in

plug values in the formula of area

<h3>1/2 x 96 x 8√3</h3>

384√3 in²

6 0
4 years ago
Read 2 more answers
According to a recent​ survey, the population distribution of number of years of education for​ self-employed individuals in a c
strojnjashka [21]

Answer:

a) n=100,\,\mu_s = 14.7, \,\sigma_s=0.32

b) n=400,\,\mu_s = 14.7, \,\sigma_s=0.16

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

Step-by-step explanation:

a) We have a population with mean of 14.7 and standard deviation of 3.2.

We have to calculate the parameters of the sampling distribution (mean and standard deviation), for a sample size of n=100.

The mean for the sampling distribution is the same of the population:

\mu_s=\mu=14.7

The standard deviation of the sampling distribution is related to the population standard deviation by the inverse of the square of the sample size:

\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{100}=3.2/10=0.32

b) For a sample size of n=400, the mean is the same (14.7), but the standard deviation becomes:

\sigma_s=\sigma/\sqrt{n}=3.2/\sqrt{400}=3.2/20=0.16

c) "a.The mean of the sampling distribution stays the same, but the standard error decreases."

As we calculated, the standard error decreases as the sample size increases. This is because the variability of the variable is reduced as the sample size is bigger.

The mean stays the same independently of the sample size.

7 0
3 years ago
PLEASE HELP!!
VladimirAG [237]

Answer:

Sphere Volume = (4/3) * PI * radius^3

radius = cube root (Sphere Volume) / (4/3)*PI

radius = cube root (5,600) / (4/3)*PI

radius = 11.016 cm

radius = 11 cm (rounded)

Answer is B

Step-by-step explanation:

4 0
3 years ago
What is the Least Common Multiple (LCM) of 3 and 6?
melomori [17]

Answer:

6

Step-by-step explanation:

  1. Both numbers can evenly go into 6: 3 can go into 6 two times, and 6 can go into 6 one time.

I hope this helps!

7 0
3 years ago
What is the value of y in the solution to the system of equations?
AnnZ [28]

Answer:

The correct answer is D. 8

Step-by-step explanation:

In order to find this, solve by multiplying the top equation by -6. Then add the equations together to get the x values to cancel. Then you may solve for y.

-2x - 3/2y = -6

2x - 3y = -30

--------------------

9/2y = -36

y = 8

7 0
3 years ago
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