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babunello [35]
3 years ago
14

Parallelogram efgh has sides of length 20 inches and 14 inches as shown. Its acute angle measures 62 degrees. Find the area of e

fgh to the nearest square inch
Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

Answer:

The area of the parallelogram is 247 inches^2 to the nearest square inch

Step-by-step explanation:

This question asks us to calculate the area of a parallelogram given the sides and an acute angle.

Please check attachment for diagrammatic representation of the said parallelogram.

Mathematically, the area of the parallelogram can be calculated using the formula;

A = ab sin θ

where a and b refers to the length of the two sides and θ being the acute angle

Substituting these values, we have

A = 20 * 14 * sin 62

A = 280 sin 62 = 247.23 which is 247 inches^2 to the nearest square inch

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The object on the right is made from a square-based pyramid joined to a cuboid.
spayn [35]

Answer:

Density of steel = 80.73 gm/cm^3

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

V_{Cuboid} = l \times w \times h

V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3

Density of Wood , D_{Cuboid}= 0.68g/cm^3

We know that formula of Density is:

Density = \dfrac{Weight}{Volume}

D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}

Putting the values:

W_{Cuboid} = 324 \times 0.68 = 220.32\ gm

Total weight = W_{Cuboid} + W_{Pyramid}

970 = 220.32 + W_{Pyramid}

W_{Pyramid} = 749.68 gm

Volume of pyramid is given as:

V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}

Base is a square with side 6 cm

V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3

Density of Steel/Pyramid:

D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3

5 0
3 years ago
Helppppppppppppppppp​
lions [1.4K]

Answer:

<h2>9) Multiplication</h2><h2>10) </h2><h2>\frac{3}{4}</h2><h2>11) </h2>

\frac{4}{5}

<h2>12) 0.36</h2>

<h2>13) </h2>

\frac{12}{25}

<h2>14)</h2>

\frac{1}{9}

<h2>15) 5.9</h2>

Step-by-step explanation:

<h2>This might be helpful and believe me dude, these questions are the most important questions for your exams.</h2><h2 /><h2>Keep Studying ☺️❤️</h2>
3 0
3 years ago
Read 2 more answers
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
irakobra [83]

Answer:

a-9=20

a=20+9

a=29

b-9>20

b>29

6 0
3 years ago
The areaot a square is 36 cm? What<br> is the side length, s?
vichka [17]

Answer: 6

Step-by-step explanation: To find the side length of a square, you need to find the square root of the area because the side length squared is the area.

5 0
3 years ago
Use a benchmark to find an equivalent percent for each fraction. 9/10 and 2/5. Please help! :o will mark brainliest if can!
denpristay [2]

Answer

9/10=<u>90%</u> and 2/5=<u>40%</u>

Explanation

9÷10=0.9   0.9x100=90%

2÷5=0.4   0.4x100=40%

<em>hope this helps!</em>

<em>have a wonderful day :)</em>

3 0
3 years ago
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