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2 years ago

A rectangular bathroom mirror has a perimeter of 22 feet. Its area is 18 square feet. What are the dimensions of the mirror?

Mathematics

1 answer:

ad-work [718]2 years ago

4 0

Answer:

The dimensions of the mirror is 9 feet and 2 feet

Step-by-step explanation:

Keep in mind that the area and perimeter of a rectangle is:

Area - length x width

Perimeter - 2 (l + w)

List the factors of 18 (the area of the mirror):

1, 2, 3, 6, 9, 18

POSSIBLE DIMENSIONS OF MIRROR:

1 ft and 18 ft

Area = 18 ft^2

Perimeter = 38 feet

2 ft and 9 ft

Area = 18 ft^2

Perimeter = 22 feet

3 ft and 6 ft

Perimeter = 18 feet

The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.

Hope these helps!

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3 years ago

At Information and Communications University: 31 female seniors were on the dean’s list 62 women were on the dean’s list who wer

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Step-by-step explanation:

There's a lot of information here, so first things first, let's get organized.

Let's start by assigning variable names to each group. We want the variables to be short but easy to understand.

For example, let's say the number of female seniors on the dean's list is FSD (F for female, S for senior, and D for dean's list).

FSD = 31

Sticking to this naming scheme:

FD = 62

MSD = 45

FS = 87

MS = 96

F = 275

MD = 88

M = 227

Now we can begin.

a) We want to know how many seniors there are. So all we have to do is add up all the variables with an S in them.

FSD + MSD + FS + MS

31 + 45 + 87 + 96

259

b) We want to know how many women there are. So add up all the variables with an F in them.

FSD + FD + FS + F

31 + 62 + 87 + 275

455

c) We want to know how many are on the dean's list. So add up all the variables with a D in them.

FSD + FD + MSD + MD

31 + 62 + 45 + 88

226

d) Now we want to know how many are seniors AND on the dean's list. So add up all the variables that have both an S and a D.

FSD + MSD

31 + 45

e) We want to know how many female seniors there are, so add up all the variables with both an F and an S.

FSD + FS

31 + 87

118

f) We want to know how many women were on the dean's list, so add up all the variables with both an F and a D.

FSD + FD

31 + 62

g) Finally, we want to know how many students there are total. So add up all the variables.

FSD + FD + MSD + FS + MS + F + MD + M

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3 years ago

M is the midpoint of JK. Find the coordinates of K. J(0, 11), M(-3,2)

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Let's assume

point K as (x,y)

M is the midpoint of JK

so, other point as J(0, 11)

M(-3,2)

$(-3,2)=(\frac{0+x}{2},\frac{11+y}{2})$

now, we can compare both sides

Calculation of x-coordinate:

we get

$-3=\frac{0+x}{2}$

$x=-6$

Calculation of y-coordinate:

we get

$2=\frac{11+y}{2}$

$11+y=4$

$y=-7$

so, we will get point K

K=(-6,-7)............Answer

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3 years ago

Classify the two given samples as independent or dependent. Sample 1: Pre-training blood pressure of 17 people Sample 2: Post-tr

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Answer:

Sample 1 : independent

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Step-by-step explanation:

From the question we are told that

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While

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3 years ago

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It is defined as the property of a function in which the function varies continuous, and we plot the graph of a function it doesn't break.

We have a function:

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Learn more about the continuous function here:

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2 years ago