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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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Order from least to greatest 12% of 60 55% of 220 400% of 18
frez [133]

Answer:

12% of 60, 400% of 18, 55% of 220

Step-by-step explanation:

12% of 60 =7.2

55% of 220 = 121

400% of 18 = 72

7.2, 72, 121

8 0
2 years ago
Please someone help quickly!!!
Alisiya [41]

Answer:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Step-by-step explanation:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

3 0
3 years ago
A drawer contains white socks and black socks only.
crimeas [40]

Answer:

36 black socks

Step-by-step explanation:

white socks: black socks

1  :3

We have 12 white socks so we multiply each term by 12

1*12 : 3*12

12:36

We have 36 black socks

5 0
3 years ago
Please solve the following problem
kirza4 [7]

Answer:

x = 27

Step-by-step explanation:

Given

\frac{x}{9} = 3

Multiply both sides by 9 to clear the fraction

x = 9 × 3 = 27

5 0
3 years ago
If triangle FGH, FG=8.7, FH=4.5 and GH=6.1, Which is the smallest angle of the triangle
jolli1 [7]

∠G is the shortest

Step-by-step explanation:

Given is a ΔFGH

FG = 8.7

FH = 4.5

GH = 6.1

The triangle will be formed with three angles

F, G and H

"The side opposite to the largest angle of the triangle is the largest"

Similarly, The side opposite to the shortest angle is the shortest.

Converse of this postulate will be:

The interior angle opposite to the shortest side of the triangle is the smallest.

The triangle formed is attached in the form of a picture.

The angle opposite to FH will be the shortest.

Hence,

∠G is the shortest

Keywords: Angles, triangles

Learn more about angles at:

  • brainly.com/question/7128279
  • brainly.com/question/702593

#LearnwithBrainly

7 0
3 years ago
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