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Alchen [17]
3 years ago
8

A building casts a shadow 25 m long. At the same time, the shadow cast by a 44-cm tall pole is 59 cm long. Find the height of th

e building.
 A. 17.1 m B. 32.0 m C. 33.5 m D. 18.6 m
Mathematics
1 answer:
EastWind [94]3 years ago
3 0

For this, we are going to be using proportions to solve. But firstly, we have to convert cm to m. For this, I'll be using dimensional analysis:

\frac{44\ cm}{1}*\frac{0.01\ m}{1\ cm}=\frac{0.44}{1}=0.44\ m

\frac{59\ cm}{1}*\frac{0.01\ m}{1\ cm}=\frac{0.59}{1}=0.59\ m

Now that we have everything in meters, we can put it into proportions. In this case, our proportion is \frac{x}{25} =\frac{0.44}{0.59}

Firstly, cross-multiply: 0.59x=11

Next, divide both sides by 0.59, and your answer will be x = 18.6 m, or D.

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Will give you 10 points, thank for the help!
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Answer:

Step-by-step explanation:

Area of the shaded region will be "(area of rectangle) - (area of triangle)"

Area of rectangle: 8 ft * 5 ft = 40 ft^2

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40 - 3.375 = 36.625 ft ^2 = 5274 in^2

3 0
3 years ago
A school district needs 3 teachers for every 70 students. They expect to have 14,700 in the district next year. At this time the
VLD [36.1K]

Answer:

18

Step-by-step explanation:

We can use a proportion to find out the number of teachers that are needed.

3/70 = x/14,700

70x = 3 * 14,700

70x = 44,100

x = 630

630 teachers are needed altogether. Since there are already 612 teachers, the number of more teachers who are needed is the difference between 630 and 612.

630 - 612 = 18

Answer: 18

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3 years ago
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Answer:

Well, if <em>y </em>is 1

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See how 1 X value is worth 2 Y?

Example Attached

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Papessa [141]

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