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3 years ago

Find the area of the figure

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

5 0

These are the steps:
1. Find area of the two triangles.
2. Find area of the rectangle.
3. Add them up.

Step 1: Find area of the two triangles:

Formula : Area of triangle = 1/2 x base x height

Both triangles are identical.
Height = 5m
Base = 6 + 6 + 12 = 24

Area = 1/2 x 24 x 5 = 60 m²

Step 2: Find the area of the rectangle:

Formula : Area = Length x Width

Area = 12 x 7 = 84 m²

Step 3: Find the total area:

60 + 84 = 144 m²

Answer: 144 m²

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Given the X has a poisson distribution with u=.2, what is the probability that X= 1?

Contact [7]

The answer to this question is 3

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3 years ago

A square garden plot measures 180 square feet. A second square garden plot measures 320 square feet. How many more feet of fence

REY [17]

The second garden plot will require 8√5 feet more fence than the first garden plot.

Further explanation:

In order to find the fence, we have to find the perimeter of both squares

So,

Area of Square 1: A1=180 square feet

Area of Square 2: A2=320 Square feet

Let x be the side of square 1:

Then,

$A_1=x^2\\180=x^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{180}=\sqrt{x^2}\\x=\sqrt{2*2*3*3*5}\\x=\sqrt{2^2*3^2*5}\\x=2*3\sqrt{5}\\x=6\sqrt{5}$

For second square:

Let y be the side of second square

$A_2=y^2\\320=y^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{320}=\sqrt{y^2}\\y=\sqrt{2*2*2*2*2*2*5}\\y=\sqrt{2^2*2^2*2^2*5}\\y=2*2*2\sqrt{5}\\y=8\sqrt{5}$

Perimeter of First Square:

$P_1=4x\\=4(6\sqrt{5})\\=24\sqrt{5}\ feet$

Perimeter of Second Square:

$P_2=4y\\=4(8\sqrt{5})\\=32\sqrt{5}\ feet$

The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.

$P_2-P_1=32\sqrt{5}-24\sqrt{5}\\=(32-24)\sqrt{5}\\=8\sqrt{5}\ feet$

The second garden plot will require 8√5 feet more fence than the first garden plot.

Keywords: Radicals, Operations on Radicals

Learn more about radicals at:

#LearnwithBrainly

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3 years ago

W is less than or equal to – 2 and greater than or equal to - 8

maw [93]

Answer:

-8 ≤w ≤-2

Step-by-step explanation:

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3 years ago

Can someone please help me

weqwewe [10]

Answer:

Looks like (-5,1.5)

Step-by-step explanation:

Because it is halfway between the 1 and the 2

Hope This Helps!

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3 years ago

Jessa started with 100 sugar cookies for the Christmas banquet and gave away x cookies. Cooper started with 120 cookies but gave

masya89 [10]

Answer:

20 cookies

Step-by-step explanation:

To find the answer start by plugging in numbers. first, subtract the number from 100 or Jessa's number of cookies then multiply that by 2 and subtract that from 120 or Cooper's cookies. If the two resulting numbers are equal then you have the right answer.

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2 years ago