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-Dominant- [34]
2 years ago
15

Akeem and Jack are discussing their friend's new swimming pool. It is rectangular in shape. Akeem says he knows that it has a pe

rimeter of 90 feet. Jack says he knows that it has a width of 5 yards. What is the length of the swimming pool in yards?
Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

Answer:

The length of swimming pool is 10 yards.

Step-by-step explanation:

Given,

Perimeter= 90 feet

Width= 5 yards

As we have to find the length in yards, therefore, we will convert perimeter in yards also.

As we know,

1 Yard = 3 feet

Therefore,

Dividing the perimeter by 3 to convert it into yards.

90\ feet = \frac{90}{3} \ yards\\90\ feet=30\ yards

The formula of perimeter of rectangle is;

P= 2(l+w)

Putting values of perimeter and width;

30=2(l+5)\\30=2l+10\\2l=30-10\\2l=20\\l=\frac{20}{2} \\l=10

The length of swimming pool is 10 yards.

Keywords: Perimeter, linear equation

Learn more about linear equations at:

  • brainly.com/question/6500232
  • brainly.com/question/6554402

#LearnwithBrainly

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Javier works each weekend at an animal shelter. He earns $8 an hour. He is saving his earnings to go on a ski trip that costs $1
Harman [31]

Answer:

Step-by-step explanation:

She earns $8/hour

And she works weekend only

He is saving his earning to go for ski and it cost $190

For him to save $190, let know the hours he is going to work

He earns $8/hour and need $190,

Then he is going to work for

190/8=23.75hours

At least, he needs to work for 24hours and since the 24hours is in a day then, Becca his wrong, he doesn't need extra to work extra 6hours.

We are not told if he need to buy something or do something else we are only told he needs $190 for the trip

4 0
2 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.<br> r = 9 sin 7θ
boyakko [2]

Answer:

The given function symmetric about the y-axis.

Step-by-step explanation:

The given function is

r=9\sin 7\theta                .... (1)

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point  (r,-θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

Put (r, -θ ) in the given function.

r=9\sin 7(-\theta)=-9\sin 7\theta=-r\neq r

Therefore it is not symmetric about x-axis.

Put (-r, -θ ) in the given function.

-r=9\sin 7(-\theta)=-9\sin 7\theta=-r

Therefore it is symmetric about y-axis.

Put (-r,θ ) in the given function.

-r=9\sin 7(\theta)=r\neq -r

Therefore it is not symmetric about the origin.

3 0
2 years ago
The price of a video game was reduced from $70.00 to $40.00. By what percentage of the price was was the videogame reduced? Just
olya-2409 [2.1K]

Answer:

42.86%.

Step-by-step explanation:

Reduction in price = $70.00 - $40.00 = $30.00

Reduction in percentage = ($30.00 ÷ $70.00) x 100 = 42.86%

The price of the videogame was reduced by 42.86%.

8 0
2 years ago
Read 2 more answers
The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi u
MArishka [77]

The question is missing the figure. So, it is attached below.

Answer:

Area of the shaded sector is <u>144π units squared</u>.

Step-by-step explanation:

Given:

Central angle of the sector is, \theta=\frac{8\pi}{9}\ rad

Radius of the circle is, R=18\ units

We know that, area of a sector of a circle of radius 'R' and central angle \theta is given as:

A=\frac{1}{2}R^2\theta

Plug in \theta=\frac{8\pi}{9},R=18. This gives,

A=\frac{1}{2}\times (18)^2\times \frac{8\pi}{9}\\\\A=(\frac{324\times 4}{9})\pi\\\\A=(36\times 4)\pi\\\\A=144\pi\ units^2

Therefore, the area of the shaded sector is 144π units squared.

5 0
2 years ago
Read 2 more answers
Rumor of the cancellation of final exams began to spread one day on a college campus with a population of 80 thousand students.S
Nikolay [14]

Answer:

P(t) is directly proportional to N and N'.

Where P is the increase in numbers of students who have heard the exam's cancellation rumor at any time t;

N is numbers of students who have heard the rumor of the exam's cancellation;

N' is numbers of students who have not heard the rumor of the exam's cancellation;

N' = (80 - N). Since the total number of students is 80;

K is the constant of the proportionality.

K is calculated to be 9/700

Therefore,

P(t) = KNN'

P(t) = (9/700) x N x (80 - N)

Step-by-step explanation:

The total number of students is 80. For N, N' = 80 - N.

Initially, 1 thousand people heard the rumor.

Within/after a day, the increased in number of students who have heard the rumor is P = 10 - 1 = 9

P = 9 = K x 10x (80-10)

9 = K x 10 x 70 = 700K.

Divide both sides by 700,

9/700 = (700/700)K

K = 9/700

Subtitle K into the equation P(t) = KNN'

P(t) = (9/700) x N x N'

P(t) = (9/700) x N x (80 - N), where N' = 80 - N

4 0
2 years ago
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