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Annette [7]
2 years ago
7

Kyle needs to build a crate in the shape of a rectangular prism. The crate must have a volume of 160 cubic feet, and a height of

4 feet. What is the area of the base?
Mathematics
1 answer:
MAXImum [283]2 years ago
3 0

Answer:

<u>40 sq. ft.</u>

Step-by-step explanation:

Given :-

Volume = 160 cu. ft.

Height = 4 ft.

To Find :-

Base Area

Relation :-

Volume = Base Area x Height

Solving :-

Base Area = 160/4

= <u>40 sq. ft.</u>

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Select the correct answer. to solve this system of equations using substitution, what could be substituted in place of y in the
Rina8888 [55]

To use substitution to evaluate this system of equations, the y value to be substituted is 2x - 7.

<h3>What is method of substitution?</h3>

The algebraic method for solving simultaneous linear equations is the substitution method. The values of one variables from one expression is substituted with in second equation, as the name implies.

Now according to the question;

The expressions are as follows;

4x = 5 – 2y and y – 2x + 7 = 0

To solve the following system of equations, we must determine what substitution must be made in place of y in the first equation.

Let us now deduce the value of y from the second equation.

y – 2x + 7 = 0 ⇒ y = 2x – 7

We now have the y value, which we can plug into the first equation;

⇒ 4x = 5 – 2(2x – 7)

4x = 5 – 4x + 14

4x + 4x = 5 + 14

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x = 19/8

Substitute the value of x in y to get its value.

y = 2×(19/8) - 7

y = -9/4

Thus, the values obtained for the given set of equations are-

x = 19/8 and y = -9/4 by method of substitution.

To know more about method of substitution, here

brainly.com/question/22340165

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3 0
2 years ago
What is the slope of the line that goes through the points (1,-5) and (4,1)
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D. 2

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Find the value of e^2+1/e^2if e-1/e=11​
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Step-by-step explanation:

I need help

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3 years ago
A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fen
baherus [9]

Answer:

Area = 2500 square feet is the largest area enclosed

Step-by-step explanation:

A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fencing

Let x be the length of each box and y be the width of the box

Perimeter of the box= 3(length ) + 4(width)

200=3x+4y

solve for y

200=3x+4y

200-3x=4y

divide both sides by 4

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Now take derivative

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0=150-\frac{9x}{2}

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multiply both sides by 2/9

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For any value of x, second derivative is negative

So maximum at x= 100/3

 A=150x-\frac{9x^2}{4} , replace the value of x

A=150(\frac{100}{3})-\frac{9(\frac{100}{3})^2}{4})

Area = 2500 square feet is the largest area enclosed

3 0
3 years ago
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