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sergey [27]
3 years ago
15

A pole that is 3 m tall casts a shadow that is 1.23 m long. At the same time, a nearby building casts a shadow that is 42.75 m l

ong. How tall is the building? round your answer to the nearest meter.
Mathematics
1 answer:
Elenna [48]3 years ago
6 0

Answer:

Hello,

Just using the theorem of Thalès,

Step-by-step explanation:

Let say h the hight of the building

\dfrac{h}{3} =\dfrac{42.75}{1.23}\\\\h=104.268296...\approx{104(m)}

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Area of the figure with steps
Y_Kistochka [10]

Answer:

2400

Step-by-step explanation:

length times width times height

8 0
3 years ago
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A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches. The b
givi [52]

The mass of brick is 2478 gram

<em><u>Solution:</u></em>

A brick is in the shape of a rectangular prism with a length of 8 inches, a width of 3.5 inches, and a height of 2 inches

Length = 8 inches

Width = 3.5 inches

Height = 2 inches

<em><u>The volume of rectangular prism is given as:</u></em>

volume = length \times width \times height

volume = 8 \times 3.5 \times 2\\\\volume = 56

Thus volume of brick is 56 cubic inches

<em><u>Convert inches to centimeter</u></em>

1 inch = 2.54 centimeter

Therefore,

56 cubic inches = 56 x 2.54 x 2.54 x 2.54 cubic centimeter

56 cubic inches = 917.676 cubic centimeter

Thus, we get,

volume = 917.676 cubic centimeter

The brick has a density of  2.7 grams per cubic centimeter

Density = 2.7 grams

<em><u>The mass of brick is given by formula:</u></em>

mass = density \times volume

<em><u>Substituting the values we get,</u></em>

mass = 2.7 \times 917.676\\\\mass = 2477.724 \approx 2478

Thus mass of brick is 2478 gram

7 0
3 years ago
Combine the following sets of terms.
DanielleElmas [232]

Let's simplify step-by-step To understand :)

3x2−7x−(x2+3x−9)

Distribute the Negative Sign:

=3x2−7x+−1(x2+3x−9)

=3x2+−7x+−1x2+−1(3x)+(−1)(−9)

=3x2+−7x+−x2+−3x+9

Combine Like Terms:)

=3x2+−7x+−x2+−3x+9

=(3x2+−x2)+(−7x+−3x)+(9)

=2x2+−10x+9

Answer :)

=2x2−10x+9


HOPE THIS HELPS

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Answer:

It is A

Step-by-step explanation:

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Answer:

0.13832

Step-by-step explanation:

I think so if it is so please mark me as brainliest

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