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inessss [21]
3 years ago
7

What is the volume of the composite figure. Explain

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Answer:

<h2>36ft cubed</h2>

Step-by-step explanation:

The total volume is 36ft. In order to find the volume, you can split this up into 3 boxes.

The first box go with the dimensions of 3ft (length) by 2 ft (width) by 1ft (height), multiply that, you get 6ft

The second box go with the dimensions of 3ft (length) by 4ft (width) by 1ft (height), multiply that, you get 12ft

The third box go with the dimensions of 3ft (length) by 6ft (width) by 1ft (height), multiply that, you get 18ft

Lastly, add together the 3 boxes, (6+12+18), which you get 36ft, and since this is volume, it is 36ft cubed

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Step-by-step explanation:

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Translate the phrase into an algebraic expression 7 more than c
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Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do
Liula [17]

Answer:

y = \frac{1}{3}x + 5

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other:  m = - \frac{1}{m_{2} }, or equivalently, m_{1} * m_{2} = -1.

Given our linear equation  3x + y = 3  (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is \frac{1}{3}.

To test whether this is correct, we can take first slope,  m_{1} = -3,  and multiply it with the negative reciprocal slope m_{2} = \frac{1}{3} :

m_{1} * m_{2} = -1

-3 * \frac{1}{3}  = -1

Therefore, we came up with the correct slope for the other line, which is  \frac{1}{3}.

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

y = \frac{1}{3}x + 5

7 0
3 years ago
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Answer:

D' (-4,-2)

E' (-1,2)

F' (2,-4)

Step-by-step explanation:

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