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2 years ago

Can someone plsss help me with these questions????

Mathematics

1 answer:

Jobisdone [24]2 years ago

3 0

The surface area of the shape is 194 square units and the volume of the figure is 620 cubic feet

<h3>The surface area of the shape</h3>

To do this, we simply calculate the area of each face, and add up the individual areas.

So, we have:

Surface area = Top areas + 2 * Side areas + Back area

This gives

Surface area = (6 * 4 + 3 * 4 + 5 * 4 + 3 * 4) + 2 * (6 * 6 + 5 * 3) + 6 * 4

Evaluate

Surface area = 194

Hence, the surface area of the shape is 194 square units

<h3>The volume of the shape</h3>

To do this, we simply calculate the volume of the box, and the volume of the prism, then add up the individual areas.

So, we have:

Volume = Box + Prism

This gives

Volume = 10 * 8 * 6.5 + 0.5 * 8 * 10 * 2.5

Evaluate

Volume = 620

Hence, the volume of the figure is 620 cubic feet

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Answer:

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Step-by-step explanation:

Given the expressions :

Q(18)

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What does each expression represent in this situation?

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Answer:

See below

Step-by-step explanation:

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c. here you are to compose g into f. In other words, pick up the whole g function and plug it into f wherever you see an x:

$3(2x^{2} )-1=6x^{2} -1$

d. here you are compose f into g. In other words, pick up the whole f function and plug it into g wherever you see an x:

$2(3x-1)^2$

You now have to FOIL out the (3x-1) like so:

$2[(3x-1)(3x-1)]$

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$2(9x^{2} -6x+1)$

Distribute in the 2 and you'll end up with the answer:

$18x^{2} -12x+2$

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