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3 years ago

Sphere with a volume of 1767.1 . what is the radius?

1 answer:

3 0

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=1767.1 \end{cases}\implies 1767.1=\cfrac{4\pi r^3}{3}\implies 5301.3=4\pi r^3 \\\\\\ \cfrac{5301.3}{4\pi }=r^3\implies \sqrt[3]{\cfrac{5301.3}{4\pi }}=r\implies 7.4999\approx r$

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What is the range of the given function? Thank you !!!!

Hatshy [7]

Answer:

Option B: {y | y = -7, -1, 0, 9}

Step-by-step explanation:

The range of a function is the set containing the all the values of the y-coordinates of the points of the function.

This function's points have the y-coordinates: 9, 0, -7, -1

The range is: {-7, -1, 0, 9}

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3 years ago

Read 2 more answers

The answer to 2x+56=

Veronika [31]

Answer:

It can't be simplified or added together because one is multiplied by x and the other is not

Step-by-step explanation:

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2 years ago

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1. The science club constructed a pyramid with a square base out of paper clips. The height of the pyramid is 2.5 feet. One side

elena-14-01-66 [18.8K]

Answer:

Part 1) The slant height of the pyramid is $2.80\ ft$

Part 2) The length of the third side of the window is $20.78\ in$

Part 3) The building's slant height is $53.85\ ft$

Step-by-step explanation:

Part 1) we know that

To find out the slant height of the pyramid, apply the Pythagorean Theorem

Let

l ----> the slant height of the pyramid

h ---> the height of the pyramid

b ---> the length side of the square base

$l^2=h^2+(b/2)^2$

we have

$h=2.5\ ft\\b=2.5\ ft$

substitute the given values

$l^2=2.5^2+(2.5/2)^2$

$l^2=2.5^2+(1.25)^2$

$l^2=7.8125$

$l=2.80\ ft$

Part 2) Let

c ----> the hypotenuse of a right triangle (the greater side)

a ---> the measure of one leg of the right triangle

b ---> the measure of the other leg of the right triangle

Applying the Pythagorean Theorem

$c^2=a^2+b^2$

we have

$c=24\ in\\a=12\ in$

substitute the given values and solve for b

$24^2=12^2+b^2$

$b^2=24^2-12^2$

$b^2=432$

$b=20.78\ in$

Part 3) Let

l ----> the building's slant height

h ---> the height of the building

r ---> the radius of the base of the building

Applying the Pythagorean Theorem

$l^2=h^2+r^2$

we have

$h=50\ ft\\r=20\ ft$

substitute the given values

$l^2=50^2+20^2$

$l^2=2,900$

$l=53.85\ ft$

4 0

3 years ago

Rick has 76.8 feet of cable she planas to Cable It into 7 pieces how long is each piece

cricket20 [7]

Each piece would be 10.97142857142857 inches which is about 10.97 each piece.

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3 years ago

Solve for x if sqrt (3x-8) + 1 = sqrt (x+5)

In-s [12.5K]

The solution of x in the given expression $\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}$ is 4. However, if it is $\mathbf{\sqrt{(3x-8)+1} = \sqrt{(x+5)}}$ , it is 6.

<h3>What is the solution to algebraic expression?</h3>

The solution to the given algebra expression involving surds can be seen in the steps below.

Given that:

$\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}$

Remove the square roots, we have:

12x - 32 = 4x² - 48x + 144

Solving the quadratic equation at the RHS and equating it to LHS, we have:

x = 11, x = 4

Verifying the solutions by replacing the value of x with the given equation:

x = 11 False
x = 4 True

Therefore, we can conclude that the value of x = 4

NOTE:

Given that:

$\mathbf{\sqrt{(3x-8+1)} = \sqrt{(x+5)}}$

Square both sides

3x - 7 = x +5

Solve for x

3x - x = 5 + 7

2x = 12

x = 6

Learn more about solving to algebraic expressions here:

brainly.com/question/4344214

#SPJ1

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2 years ago