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3 years ago

The house shown is a composite of more than one shape. Which of these methods would you use to find the volume of the house?

Mathematics

2 answers:

KengaRu [80]3 years ago

4 0

Calculate the volume of the rectangular prism than calculate the volume of the triangular prism

Usimov [2.4K]3 years ago

3 0

<h2>Answer:</h2>

The method that can be used to find the volume of the house is:

Add the volume of a rectangular prism to the volume of the triangular prism.

<h2>Step-by-step explanation:</h2>

In order to find the volume of the house we need to find the volume of the bottom part of the house which in the shape of a rectangular prism or cuboid and volume of the top of the house which is in the shape of a triangular prism.

Hence, the total volume of the house is:

Volume of rectangular prism+Volume of triangular prism.

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The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousand

velikii [3]

Answer:

$h(x) = 57(0.8)^x$

Step-by-step explanation:

Given

$f(x) = 32(0.8)^x$

$g(x) = 25(0.8)^x$

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

$h(x) = f(x) + g(x)$

$h(x) = 32(0.8)^x + 25(0.8)^x$

Factorize

$h(x) = (32 + 25)(0.8)^x$

$h(x) = 57(0.8)^x$

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3 years ago

How can 4.17 be written as a whole number with a fraction?

solmaris [256]

It can be written as 4 17/100

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3 years ago

Jenny has 1 stamp to begin her collection. She then collects 7 stamps per day. Let y represent the total amount of stamps in Jen

lord [1]

Answer:

Step-by-step explanation:

<u>Linear modeling</u>

Consists of finding a linear equation that represents a situation in real life.

Jenny starts her stamps collection with only 1 stamp.

Then she collects 7 stamps per day.

Let's call

y=total amount of stamps in Jenny's collection

x=number of days

Knowing Jenny collects 7 stamps per day, then in x days, she collects 7x stamps. The total amount can be obtained by adding the first stamp she had. Thus, the model is:

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5 0

3 years ago

Read 2 more answers

The output is 4 less than twice the input

Radda [10]

Answer:

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2 years ago

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You need 250 mL of a 90% alcohol solution. On hand, you have a 75% alcohol mixture. How much of the 75% alcohol mixture and pure

stich3 [128]

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Answer:

100 mL of 75% solution
150 mL of pure alcohol

Step-by-step explanation:

Let x represent the quantity (in mL) of pure alcohol needed for the mix. Then the amount of 75% needed is (250-x). The amount of alcohol in the mixture is ...

1.00x +0.75(250 -x) = 0.90(250)

0.25x +187.5 = 225 . . simplify

0.25x = 37.5 . . . . . . . . subtract 187.5

x = 150 . . . . . . . . . . . . . divide by 0.25

(250 -x) = 100 . . . . mL of 75% solution

You need 100 mL of the 75% solution and 150 mL of pure alcohol to obtain the desired mixture.

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3 years ago