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3 years ago

MAKE SURE TO SHOW WORK solve for c: a=7b+8c+9d-10

Mathematics

1 answer:

Slav-nsk [51]3 years ago

5 0

<span>a=7b+8c+9d-10
8c = a - 7b - 9d + 10
c = (</span>a - 7b - 9d + 10) / 8

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A cube has a volume of 64 cubic cm. What is the measure of one side?

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Answer:

4 inches

Step-by-step explanation:

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3 years ago

You have just bought a new television and it has an aspect ratio of 16:9. The screen on the television is 65 inches. What is the

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Answer:

Width of T.V. is 21.94 inches Height is 39 inches and area is 855.66 square inch.

Step-by-step explanation:

When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.

In this question aspect ratio of television is given as 16:9

This can be written as $\frac{W}{H}=\frac{16}{9}$ or $W=\frac{16}{9} H$

Screen of the T.V. is 65 inch which is the diagonal length of the screen.

We know from pythagoras theorem in a right angle triangle

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$(65)^2=(Base)^2+(height)^2$

$(65)^2= W^2+H^2 = (\frac{16}{9}H)^2+H^2$

$(65)= \sqrt{\frac{16}{9}H^2+H^2}\\ 65=H\sqrt{\frac{16}{9}+1}\\ 65=H\sqrt{\frac{25}{9}}\\ 65=\frac{5}{3}H\\ H=39 inches$

Now height of the T.V.will be

$\frac{W}{H}=\frac{16}{9} \\\\\frac{H}{W}=\frac{9}{16}\\ H=\frac{9}{16}W = (\frac{9}{16})39= 21.94 Inches$

now area of the T.V.=W×H=39×21.94=855.66 square inch

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