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Maksim231197 [3]
3 years ago
12

What is the area of this figure? Enter your answer in the box. ___m²

Mathematics
1 answer:
ra1l [238]3 years ago
6 0
Well first you got figure out the formulas for the 2 triangles and the trapezoid.

The triangles formula for area is: A=b*h/2

The trapezoids formula for area is: A=1/2(b1+b2)*h

After you found the formulas you got to plug in the numbers.

For the first triangle it’s: A=9*5/2

The second triangle it’s: A=8*8/2

The trapezoid it’s: A=1/2(9+8)*5

After you plug in the numbers you have to solve the areas.

So the first triangle is: 9*5/2=9*5=45/2=22.5

So the area of the first triangle is 22.5

Then you have to solve the second triangle.

The second triangle: 8*8/2=8*8=64/2=32

So the area of the second triangle is 32

After solving the second triangle you have to solve the trapezoid.

Trapezoid: 1/2(9+8)*5=9+8=17=1/2(17)*5=17*5=85/2=
42.5

The area of the trapezoid is 42.5

After solving all of the shapes you have to add up all of the areas to get your full area.

22.5+32+42.5=22.5+42.5=65+32=97

So the area of the whole thing is 97

Hope this helps you!!!! Have a nice day!!!!
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Zolol [24]

<u>ANSWER</u>

-  \frac{2}{3}

<u>EXPLANATION</u>

The given given equation is

2y - 3x = 8

We need to rewrite this equation in the slope-intercept form:

y = mx + b

We add 3x to both sides.

2y  - 3x + 3x=8  + 3x

\implies \: 2y  =  3x + 8

We divide through by 2 to get,

y =  \frac{3}{2}x + 4

The slope of this line is

m =  \frac{3}{2}

Let the slope of the line perpendicular to this line be 'n' .

Then the product of the slopes of two perpendicular lines is always negative 1.

m \times n =  - 1

\implies \:  \frac{3}{2} n =  - 1

\implies \:   \frac{2}{3}   \times \frac{3}{2}n =  - 1 \times  \frac{2}{3}

n =  -  \frac{2}{3}

Therefore the slope of the new line is

-  \frac{2}{3}

6 0
3 years ago
Jeremy's password is the combination of letters and numbers shown below. He
wel

Answer:

numbers:letters

5:4 (numbers:letters form)

Step-by-step explanation:

There are 5 numbers in the password and 4 letters

Hopefully this helps :)

6 0
2 years ago
A coin is tossed 3 times. What is the probability that the number of tails obtained will be between 1 and 3 inclusive?
LekaFEV [45]

Answer: \dfrac{7}{8}

Step-by-step explanation:

Given : When a coin is tossed twice , the total outcomes will become

HHH , HHT , HTH , THH , TTH , THT , HTT ,TTT

Total outcomes = 8

Favorable outcomes to obtain 1 and 3 inclusive = HHT , HTH , THH , TTH , THT , HTT ,TTT

Number of favorable outcomes = 7

Probability that the number of tails obtained will be between 1 and 3 inclusive = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

=\dfrac{7}{8}

Hence, the probability that the number of tails obtained will be between 1 and 3 inclusive =\dfrac{7}{8}

5 0
3 years ago
Which equation should be used to solve 81 + × =108
Airida [17]
Subtract 81 then divide by that answer.
81+x=108
-81 -81
—————
X=27

The answer’s 27
3 0
3 years ago
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How wide is a rectangular strip of land with the length 3/4 mile and area 1/2 square mile?
antiseptic1488 [7]
A mile or two can add up to ether 5,280 or 1,760 I'm sorry I'm kinda good at math hope that helps
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