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ivolga24 [154]
4 years ago
15

A state highway department uses a salt storage enclosure that is in the shape of a cone, as shown above. If the volume of the st

orage enclosure is 48π m3, then what is the diameter of the base of the cone, in meters?

SAT
1 answer:
denis-greek [22]4 years ago
3 0

Answer:

D = 8 m

Explanation:

vol = πr² h/3

48π = πr² x 9/3

48π = 3πr²

r = sqrt (48/3)

r = 4 m

therefore the diameter D = 2r = 2 (4) = 8 m

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2 years ago
Two numbers differ by 8 if their product is 713 then the sum of the two numbers is.
const2013 [10]

The sum of the two numbers is equal to 70.

  • Let the first number be x.
  • Let the second number be y.

In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).

Translating the word problem into an algebraic expression, we have;

Two numbers differ by 8:

x-y=8    ....equation 1.

The product of the two numbers is 713:

xy=713    ....equation 2.

To calculate the sum of the two numbers:

First of all, we would solve for each of the unknown variables (x and y).

From eqn. 1, we have:

x=8+y   ....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

y(y+8)=713\\\\y^2+8y=713\\\\y^2+8y-713=0

Solving the quadratic equation by factorization, we have:

y^2-31y +23y-713=0\\\\y(y-31)+23(y-31)=0\\\\(y+23)(y-31)=0

y = -23 or 31.

For the value of x, when y = 31:

x=8+31

x = 39

Now, we can calculate the sum of the two numbers:

x+y=39+31=70

Read more on word problems here: brainly.com/question/13170908

4 0
3 years ago
Course 3 chapter 5 triangles and the pythagorean theorem
Galina-37 [17]

The pythagorean theorem is used to calculate the lengths of a right triangle

The hypotenuse of the triangle is 6.5 cm

<h3>How to determine the hypotenuse of the triangle?</h3>

From the complete question, we have the following side lengths

  • Opposite = 5.7 cm
  • Adjacent = 3.2 cm

The hypotenuse of the triangle is then calculated as:

Hypotenuse^2 = Opposite^2 + Adjacent^2

This gives

Hypotenuse^2 = 3.2^2 + 5.7^2

Evaluate the sum

Hypotenuse^2 = 42.73

Take the square root of both sides

Hypotenuse = 6.5

Hence, the hypotenuse of the triangle is 6.5 cm

Read more about hypotenuse at:

brainly.com/question/654982

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What happens if you don't pay your insurance premium for your car?\
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3 years ago
Which statements apply to a certificate of deposit (cd)? choose two answers. It is always purchased as a short-term investment.
Novosadov [1.4K]

The two statements that refer to the certificate of deposits are:

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<h3>What is a certificate of deposit?</h3>

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This certificate is gotten for almost any amount of money from the banks that are issuing them.

Read more on certificate of deposit here brainly.com/question/17427920

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