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Alexus [3.1K]
3 years ago
12

You and a friend want to know how much rope you need to climb a large rock. Your friend is 5.5 feet tall and casts a shadow that

is 18 feet long. If the rock casts a shadow that is 209.5 feet long, calculate the height of the rock from the ground. Round your answer to the nearest foot. (Hint: make a drawing)
64 ft
18 ft
210 ft
219 ft
Mathematics
1 answer:
diamong [38]3 years ago
4 0
The concept that is useful in order to answer this item is the concept of ratio and proportion. Let x be the height of the rock from the ground. We use the equation below to answer.
                                    5.5 ft / 18 ft = x ft / 209.5 ft
The value of x from the equation is 64 ft. Thus, they will be needing approximately 64 ft of rope.
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Let's analyze the question:

the sum of g and 3 ⇒ means that we are adding

the sum of g and 3 ⇒ means that we are adding the terms "g" and "3"

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I hope this helps and have a great rest of your day!

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3 years ago
A master electrician earns $62 per hour. His apprentice earns $40 per hour. The master electrician works 3 hours more than the a
kow [346]
Let x be the number of hours the master electrician works and y the numbers of hours his apprentice works.

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Together they are paid $492, so we can get the equation:
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We know that the electrician worked 3 hours more than his apprentice. So he worked x = y + 3 hours. Now let's replace x by its new value in the previous equation.

62x + 40y = 492
62(y+3) + 40y = 492
62y + 186 + 40y = 492

Now we need to put variables apart and numbers apart, so we subtract 186 from both sides of the equation:
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Now we divide both sides by 102
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So the apprentice worked 3 hours.
As we already mentioned, the electrician worked 3 hours more than his apprentice.
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6 0
3 years ago
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a pole that is 3m tall casts a shadow that is 1.72m long. at the same time, a nearby building casts a show that is 50.5 m long.
Veronika [31]

Answer:

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tall/long
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Building:

tall/long

x/50.5

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8 0
1 year ago
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devlian [24]

Answer:

13y= x + 59

Step-by-step explanation:

gradient= y² - y¹ / x²- x¹

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<h3>equation of line: <u>y=mx+c</u></h3>

x y

point (6,5)

<u>substitute</u>:

5= <u> </u><u>1</u><u> </u> (6) + c

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c = 5 -<u> </u><u>6</u><u> </u>

13

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13

y=mx+c

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4 0
3 years ago
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