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kvv77 [185]
3 years ago
10

Find the area of the following figure:

Mathematics
1 answer:
kherson [118]3 years ago
4 0

Answer:

A = 178 cm^2

Step-by-step explanation:

Split the figure into a trapezoid and a rectangle

Area of trapezoid:

A = ((a+b)/2)*h

A = ((14+8)/2)*10

A = 150

Area of rectangle:

A = w*h

A = 2*14

A = 28

150+28

A = 178 cm^2

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Three right triangles are drawn in the coordinate plane,
SashulF [63]

Answer:

Triangle A:

- smaller leg = 3

- longer leg = 10

- hypotenuse = 10.4

Traingle B:

- smaller leg = 4

- longer leg = 13

- hypotenuse = 13.6

Triangle C:

- smaller leg = 5

- longer leg = 7

- hypotenuse = 8.6

Step-by-step explanation:

Let's find the distance of the legs for the 3 right triangles.

<u>Triangle A</u>

The smaller leg (SL) is from (2,5) to (2,8), so the length is given by the distance in the y-axis:

SL_{A} = 8 - 5 = 3

Hence, the lenght of the smaller leg is 3.

The longer leg (LL) is from (-8, 8) to (2, 8), so the length is given by the distance in the x-axis:

LL_{A} = 2 - (-8) = 10

Then, the length of the longer leg is 10.  

Now, we can find the hypotenuse (H) by using Pitagoras:

H_{A} = \sqrt{SL_{A}^{2} + LL_{A}^{2}} = \sqrt{3^{2} + 10^{2}} = 10.4

<u>Triangle B</u>

The SL is from (3, -9) to (7, -9)

The length of the SL is:

SL_{B} = 7 - 3 = 4

The LL is from (7, -9) to (7, 4)

The length of the LL is:

LL_{B} = 4 - (-9) = 13

The hypotenuse is:

H_{B} = \sqrt{4^{2} + 13^{2}} = 13.6

<u>Triangle C</u>

The SL is from (-10, -6) to (-10, -1)

The length of the SL is:

SL_{C} = -1 - (-6) = 5

The LL is from (-10, -6) to (-3, -6)  

The length of the LL is:

LL_{C} = -3 - (-10) = 7

The hypotenuse is:

H_{C} = \sqrt{5^{2} + 7^{2}} = 8.6

I hope it helps you!

5 0
3 years ago
Hello people ~<br>factorise : 5x²+16x+3​
son4ous [18]
  • 5x²+16x+3
  • 5x²+15x+x+3
  • 5x(x+3)+1(x+3)
  • (5x+1)(x+3)

Done!

5 0
2 years ago
Read 2 more answers
Hello its me, the 6th grade crack head that needs help on a PEMDAS again! YAYY so anyways the question isssssss 10 divided by (3
Aneli [31]

Answer:

its 8...i think

Step-by-step explanation:

5 0
3 years ago
Fam what is 25 x 25 please help me fam needd the answer ASAP!
Vlada [557]

Answer:

it is 625

Step-by-step explanation:

5 0
3 years ago
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Is the formula x+1=3/4y linear?
pentagon [3]
Yes, it is.
Formula X+1=3/4y is linear.
7 0
3 years ago
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