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ankoles [38]
2 years ago
9

What is the area of the polygon

Mathematics
2 answers:
Paul [167]2 years ago
8 0
Split this figure into 3 shapes: 2 triangles and 1 trapezoid

Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units

Area of the polygon = 7 + 10.5 + 18 = 35.5 square units
vlada-n [284]2 years ago
6 0
Look at the picture.
A_I=\dfrac{7\cdot2}{2}=7\\\\A_{II}=\dfrac{4\cdot3}{2}=6\\\\A_{III}=\dfrac{7\cdot3}{2}=10.5\\\\A_{IV}=3\cdot4=12\\\\The\ area\ of\ the\ polygon\\\\A=A_I+A_{II}+A_{III}+A_{IV}\\\\A=7+6+10.5+12=35.5\ un^2

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Plz help and if u don't know then don't answer
Anon25 [30]
We see a right triangle here.
Use the Pythagorean Theorem:
a^2+b^2=c^2
a & b=legs
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a^2=175
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3 0
2 years ago
X<br> −<br> 3<br> 4<br> =<br> 8<br> Which value of <br> x<br> satisfies this equation?
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2 years ago
If the volume of a prism is 30 ft3, what is the volume of a pyramid with the same base area and height?
-BARSIC- [3]

Answer:

10 ft cubed

Step-by-step explanation:

The volume of a pyramid is 1/3 the volume of a prism with the same base area & height.

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3 0
3 years ago
Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker ne
ANEK [815]

Answer:

The matrix equation is \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

Step-by-step explanation:

* Lets change the story problem to equations

- The distance between the starting point and checkpoint 1 is x

- The distance between checkpoint 1 to checkpoint 2 is y

- The distance between checkpoint and the finish line is z

- The total distance for the race is 120 miles

∴ x + y + z = 120 ⇒ (1)

-The distance from the starting point to checkpoint 1 is 35 miles

 more than half the distance from checkpoint 1 to checkpoint 2

∵ The distance from the starting point to checkpoint 1 is x

∵ The distance from checkpoint 1 to checkpoint 2 is y

- x is more than half y by 35

∴ x = 35 + (1/2) y ⇒ subtract (1/2) y from both sides

∴ x - (1/2) y = 35 ⇒ (2)

- The distance from checkpoint 2 to the finish line is 20 miles less

 than twice the distance from checkpoint 1 to checkpoint 2

∵ The distance from checkpoint 2 to the finish line is z

∵ the distance from checkpoint 1 to checkpoint 2 is y

- z is less than twice y by 20

∴ z = 2y - 20 ⇒ add 20 to both sides

∴ z + 20 = 2y ⇒ subtract z from both sides

∴ 2y - z = 20 ⇒ (3)

* Now lets write the three equations

# x + y + z = 120 ⇒ (1)

# x - (1/2) y = 35 ⇒ (2)

# 2y - z = 20 ⇒ (3)

- Now lets write the matrix equation that models this situation

∴ \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

6 0
2 years ago
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klemol [59]
The correct answer is B
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