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Lapatulllka [165]
3 years ago
5

Sam is covering her rectangular pool for the winter. The area of the cover is x² + 13x + 42 ft². The length of the cover is (x +

7) feet.
A. What is the width of the cover? Make sure to include the unit of measurement.

B. How did you find the width? Explain in complete sentences.

C. If x = 4, what is the area of the pool cover?
please show your work
Mathematics
2 answers:
kirill115 [55]3 years ago
6 0

Answer:

A.....area= x^2+13x+42...factorizing= ( x+7)(x+6)

l=x+7

b=area/l=(x+6)(x+7)/(x+7)=(x+6) ft

B...its above...

C...area=lb

l= x+7=4+7=11

b=x+6=6+4=10

lb=11×10=110 ft

nadezda [96]3 years ago
5 0

Answer:

(x+6) feet, 110sq ft

Step-by-step explanation:

Area = width * length = something * (x + 7)

Width = (x+6) as 6 and 7 add to 13 and times to 42.

To confirm expand (x+6)(x+7)=x^2+6x+7x+42=x^2+13x+42

(x+6) feet

4^2+13(4)+42=16+52+42=110 sqft

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elena-14-01-66 [18.8K]

Answer:

x=30

Step-by-step explanation:

For each right-angled triangle:

\cos\theta=\frac{cathetus \ adjacent \ \theta}{hypotenuse}

Because \cos \theta=0.4, \ \ cathetus\ adjacent \ \theta \ = \ 12, \ \ \ hypotenuse=x

we have an equation

0.4=\frac{12}x

multiplying both sides by x, we get 0.4x=12

dividing both sides by 0.4 and x=\frac{12}{0.4}

using calculator, we divide 12 by 0.4

and finally x=30


8 0
3 years ago
I NEED HELP (I’m sooo dumb lol)
statuscvo [17]
To make a box and whisker plot, first you write down all of the numbers from least to greatest.

0, 1, 3, 4, 7, 8, 10

The median is 4, so that’s the middle line of the plot.

So now we have:
0, 1, 3, [4,] 7, 8, 10

So next we have to find the 1st and 3rd interquartiles..
0, [1,] 3, [4,] 7, [8,] 10

Those are the next 2 points you put on the plot.

Lastly, the upper and lower extremes. These are the highest and lowest numbers in the data.
[0,] 1, 3, 4, 7, 8, [10]

These are the final points on the plot.

To make the box of a box-and-whisker plot, you plot the 3 Medians of the data: 1, 4, and 8, and connect those to make a box that has a line in the middle at 4.

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7 0
3 years ago
What is the radius and center of the circle given by the equation (x-5)^{2}+(y+2)^{2} = 81/4
artcher [175]

Answer:

The center is (5, -2) and the radius is 9/2

Step-by-step explanation:

The equation of a circle can be written by

(x-h) ^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-5)^{2}+(y+2)^{2} = 81/4

( (x-5)^{2}+(y- -2)^{2} = (9/2)^2

The center is (5, -2) and the radius is 9/2

6 0
3 years ago
Given the following table, what is the quadratic equation?
rusak2 [61]

Answer:

144322221111155554444444333222222

7 0
3 years ago
Michael uses a uniform probability model for an experiment using a deck of 45 cards. There are 15 blue card, 15 red cards, and 1
vampirchik [111]

Answer:

<em>P</em> = 2/3

Step-by-step explanation:

45 cards in all

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15 red

15 green

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Since the total is 45, this is how many 30 will be out of.

30 out of 45 = 30/45

Simplify 30/45 by dividing each side by 15

30 ÷ 15 = 2

45 ÷ 15 = 3

30/45 = 2/3

6 0
3 years ago
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