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Varvara68 [4.7K]
2 years ago
8

PLS HELP, HOMEWORK. (15 points)

Mathematics
1 answer:
Rus_ich [418]2 years ago
5 0
There is no problem on here
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Kenji packed an exercise ball into a cylindrical package . How much space does the package occupy in terms of pi . Enter your an
grandymaker [24]

Answer:

The space that the package would occupy is 45\pi cubic feet.

Step-by-step explanation:

The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.

Volume of a cylinder = \pir^{2}h

where: r is the radius and h is the height of the cylinder.

Given that; h = 5 feet and r = 3 feet.

The required volume = \pi × (3)^{2} × 5

                                   = \pi  × 9 × 5

                                  = 45\pi cubic feet

The space that the package would occupy is 45\pi cubic feet.

3 0
3 years ago
The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.
Alexus [3.1K]

The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.

<h3>Lateral surface area of a cone</h3>

The formula for the lateral surface area of a cone is described as follows:

Lateral area = πrl

where

  • r = base radius
  • l = slant height

Therefore,

Lateral area = 19.2π inches²

r = 2.4 inches

Lateral area = π × 2.4 × l

19.2π = 2.4πl

divide both sides by 2.4π

l = 19.2π / 2.4π

l = 8 inches

learn more on cone here: brainly.com/question/27170515

5 0
2 years ago
A cocktail nut mix should have the following minimum requirements in a can of 1 pound being sold at $3.99 a can at retail stores
Misha Larkins [42]

Answer:

Nut

Step-by-step explanation:

6 0
2 years ago
A 15 ft ladder makes a 52° angle with the ground. How far will the top of the ladder be above the ground.
levacccp [35]

Answer:

11.820 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...

sin(52°) = height/(15 ft)

Multiplying by the denominator gives you ...

height = (15 ft)·sin(52°) ≈ 11.820 ft

___

You may need to round this number appropriately.

5 0
3 years ago
The Thomas family bought 5 subs and 4 drinks. They spent 49.50 write and equation that models this situation define x and y vari
OlgaM077 [116]

Answer:

5x+4y=49.50, where:

x is the price per sub

y is the price per drink

Step-by-step explanation:

From the information provided, you can say that the result of adding up the price per sub for the quantity plus the price per drink for the quantity is equal to 49.50 that is the total amount spent, which can be expressed as:

5x+4y=49.50, where:

x is the price per sub

y is the price per drink

5 0
2 years ago
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