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2 years ago

7

The base of a prism are right triangles with leg lengths of 7 inches and 5 inches. the prism height is 12 inches. what is the vo

lume of the prism?
105 cubic inches
203 cubic inches
210 cubic inches
420 cubic inches

2 answers:

Wewaii [24]2 years ago

4 0

The volume formula is length x width x height. 7x5x12=420 cubic inches

Vladimir [108]2 years ago

4 0

The answer is 420 cubic in

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2 years ago

(3/5)^2+4X3-2 what is the value of the expression

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Step-by-step explanation:

So your solution would be:

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$=(\frac{3}{5})^{2} + 4 \times 3 - 2$

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Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

$=(\frac{3}{5})^{2} + 4 \times 3 - 2\\$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

Next we do the addition/subtraction. Again, whichever comes first.

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$=10.36$

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3 years ago