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yarga [219]
2 years ago
10

A rectangular prism has a volume of 175 in. The height of the prism is 7 in. The base is a square. What is the length of a side

of the base?
Mathematics
2 answers:
Delvig [45]2 years ago
6 0
Because it volume is 175 ,it base area is 175/7=25 that is the square's area.
S=a2 ,a=side of the base.so a=5
 

In-s [12.5K]2 years ago
4 0

Answer:

Step-by-step explanation:

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Determine if the two triangles are congruent.
goldenfox [79]

Answer:

Yes

Step-by-step explanation:

Since they have 3 identical sides, they are congruent by SSS congruence.

HTH :)

6 0
2 years ago
A polygon is shown:
Klio2033 [76]

Answer:

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3 years ago
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I need some help on these 3 questions :)
wlad13 [49]

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

<h3>How to simplify the expressions?</h3>

<u>Factor of the polynomial</u>

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

<u>The length of the pool</u>

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

<u>Simplify the expression</u>

The expression is given as:

(3s^2 - 2s + 1) \div (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

brainly.com/question/2164351

3 0
1 year ago
135 miles on 4 gallons of gas
8_murik_8 [283]
To find out how many miles 1 gallon of gas uses we will divide.

135 ÷ 4 = <span>33.75

Check our work:-

33.75 </span>× 4 = 135

So, <span>33.75 miles per gallon.

Hope I helped ya!!</span>
3 0
2 years ago
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A math teacher is trying to analyze her test grades. She surveys the students to find out how many minutes they studied. She the
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<span>Well, they couldnt have studied negative time.. So Id say the domain is \(x \ge 0\) where \(x\) is the time they studied.</span>
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