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2 years ago

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Mathematics

1 answer:

sweet [91]2 years ago

3 0

Answer:

17 inches

Step-by-step explanation:

it's 17 because x² = 15² + 8²

then x² = 225+64 which is x² = 289 so now you have to do the square root on both side x= 289

x= 17

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Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the p

KIM [24]

Answer:

1885.5 m^3 of water

Step-by-step explanation:

I'll assume this is the complete question

Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14

The pool forms a cylinder with a radius of 12 feet and a height of 4.5 feet.

height of pool = 4.5 ft

radius of pool $12^{2}$ = 12 ft

height of water is 4 inches below pool top

12 inches make 1 ft

4 inches = 4/12 ft = 0.33 ft

Therefore, height of water = 4.5 - 0.33 = 4.17 ft

volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed

volume of cylinder formed by the water = volume of water = π $r^{2}$ h

volume = 3.14 x $12^{2}$ x 4.17 = 1885.5 m^3 of water

3 0

2 years ago

PLEASE HELP

Nookie1986 [14]

For the square with side length n, the diagonal measures:

$d = \sqrt{2} *n$

<h3>How to get the length of the diagonal?</h3>

The sidelength of the square is n, and we want to get the length of the diagonal d.

Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.

Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;

$d^2 = n^2 + n^2\\\\d^2 = 2n^2\\\\d = \sqrt{2n^2} \\\\d = \sqrt{2}*n$

That is the length of the diagonal.

If you want to learn more about right triangles:

brainly.com/question/2217700

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6 0

1 year ago

Sports clubs have increasingly been acknowledged as important settings for health promotion. The term sport club is synonymous w

viktelen [127]

The linear equation that represent the left balance of sanjaya’s y after visiting x number of days is:

y = 10x + 500.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the data given, we have that:

The y-intercept is of 500.

The slope is of 10.

Hence the balance is given as follows:

y = 10x + 500.

More can be learned about linear functions at brainly.com/question/24808124

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7 0

7 months ago

In a survey of students , every student studies at least one of the three subjects Maths English and Science . The number of stu

Mandarinka [93]

Answer:

80x2=160 20x3=60 160+60=220

Step-by-step explanation:

5 0

2 years ago

HELP! Identify the equation of the circle that has its center at (-3, -4) and passes through the origin.

Lunna [17]

Answer:

Option B. (x+3) ^2+(y+4)^2=25

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

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

where

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

step 1

Find the radius of the circle

Remember that the distance of the center and any point on the circle is equal to the radius of the circle

Find the distance between the points (-3,-4) and (0,0)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$r=\sqrt{(0+4)^{2}+(0+3)^{2}}$

$r=\sqrt{(4)^{2}+(3)^{2}}$

$r=\sqrt{25}$

$r=5\ units$

step 2

Find the equation of the circle

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

the center is the point (-3,-4) and the radius is r=5 units

substitute

$(x+3)^{2}+(y+4)^{2}=5^{2}$

$(x+3)^{2}+(y+4)^{2}=25$

6 0

2 years ago