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julia-pushkina [17]
3 years ago
15

A rectangular prism has a volume of 572 cubic inches. The prism is 4 inches long and 13 inches wide. What is the height of the p

rism?
Mathematics
1 answer:
Leya [2.2K]3 years ago
4 0

Answer:

Height of rectangular prism = 11 inches

Step-by-step explanation:

Given that:

Volume of rectangular prism = 572 cubic inches

Length of prism = 4 inches

Width of prism = 13 inches

Volume of prism = Length * Width * Height

572 = 4 * 13 * h

572 = 52h

52h = 572

Dividing both sides by 52

\frac{52h}{52}=\frac{572}{52}\\h=11

Hence,

Height of rectangular prism = 11 inches

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The base angles of an isosceles trapezoid are__________?​
liubo4ka [24]

Answer:

Base angles of an isosceles triangle are always congruent.

8 0
3 years ago
514 A restaurant's menu features appetizers, 7 entrées, and 3 dessertsA customer orders only oneappetizer, only one entrée, and
yuradex [85]
Simple...there'a a LOT of combinations...

so to simply solve this;there is 5 appetizers, 7 entrees and 3 desserts....

Just take 5*7=35

and 

35*3=105

Thu,s there is 105 combinations possible to make.

Thus, your answer, D.
8 0
3 years ago
Which of the following are solutions to the system
Tomtit [17]

Answer:

A & B

Step-by-step explanation:

5x - 2y = 10 (1)

-2.5x + y = -5 (2)

When you multiply (2) by -2, you get (1), so there can be many solutions

To choose from the given options, plug in the values to check which ones satisfy the equation

5x - 2y = 10

A) (2,0)

5(2) - 2(0) = 10

10 = 10 (true statement)

B) (-2,-10)

5(-2) - 2(-10) = 10

-10 + 20 = 10

10 = 10 (true statement)

5 0
3 years ago
Their sum is −7 and their difference is 14 what are my numbers
Mashcka [7]

Answer:

Answer: 3 1/2 and -10 1/2 are the two numbers.

Step-by-step explanation:

Let x and y be the two unknown numbers.

x+y=-7 [Given]

x-y=14 [Given]

x-y=14 [Given]

x=y+14 [Add y to both sides]

x+y=-7 [Given]

(y+14)+y=-7 [Subtitution]

2y+14=-7 [Combine like terms]

2y=-21 [Subtract 14 from both sides]

y=-21/2 [Divide both sides by 2]

y=-10 1/2 [Division]

x-y=14 [Given]

x=y+14 [Add y to both sides]

x=-10 1/2 + 14 [Substitution]

x= 3 1/2 [Addition]

Check:

x+y=-7 [Given]

3 1/2 + -10 1/2?=-7 [Substition]

-7=-7 [Addition]

QED

x-y=14 [Given]

3 1/2 - -10 1/2?=14 [Substitution]

3 1/2 + 10 1/2?=14 [Change the sign of the subtrahend and add]

14=14 [Addition]

QED

Answer: 3 1/2 and -10 1/2 are the two numbers.

8 0
3 years ago
The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 14
evablogger [386]

Answer:

-0.0002x^2 +26x-120000

Step-by-step explanation:

The correct question should be:

We have been told that all we have to do to get profit is to subtract the cost from revenue.

Revenue = 40x - 0.0002x^2

Cost <em>= </em>14x + 120,000<em />

<em />

Hence:

Profit = 40x - 0.0002x^2 - (14x + 120000)

40x - 0.0002x^2 - 14x - 120000\\\\40x - 14x - 0.0002x^2 - 120000\\\\26x - 0.0002x^2 - 120000

Putting it in ordered form:

-0.0002x^2 +26x-120000

This is an expression for the profit.

4 0
3 years ago
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