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cestrela7 [59]
2 years ago
12

Please help me with the problem below.

Mathematics
2 answers:
xxTIMURxx [149]2 years ago
3 0

Answer:

67.5 cm^2

Step-by-step explanation:

we know the length and width of the rectangle and the triangle in the compound shape.

The area of the rectangle is 10 times 5 = 50

the area of the triangle is

17-10 = 7

7 times 5 is 35

35/2 = 17.5

50 plus 17.5 = 67.5 cm^2

IrinaK [193]2 years ago
3 0

Answer: 67.5

Step-by-step explanation:  Since this is a irregular shape, you have to split the two shapes.  The rectangles area is 50, and the triangles is 17.5.

To find the area of a triangle multiply 1/2 × base × height

To find the area of a rectangle multiply base × height

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If x + y = 6, then solve for y to get: y = 6 - x.

Now replace y with 6 - x in both equations.

(5x)/3 + 6 - x = c

2(6 - x) = c - 4x

The upper equation is solved for c.
Now we solve the lower equation for c.

c = 2(6 - x) + 4x

c = 12 - 2x + 4x

c = 2x + 12

Since we have two equations solved for c, we substitute to get

(5x)/3 + 6 - x = 2x + 12

This is an equation in only x, so we can solve for x.

(5x)/3 - 3x = 6

5x - 9x = 18

-4x = 18

x = -9/2

Now we solve for y.

x + y = 6

-9/2 + y = 6

y = 9/2 + 12/2

y = 21/2

Now we solve for c.

c = (5x)/3 + y

c = (5 * (-9/2))/3 + 21/2

c = -45/6 + 21/2

c = -15/2 + 21/2

c = 6/2

c = 3

Answer: c = 3
7 0
3 years ago
Daniel makes 100 dollars each week. He worked for a weeks this summer.
Digiron [165]

Answer:

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3 years ago
What basic trigonometric identity would you use to verify that (sin2x + cos2x)/cosx=secx
Oksana_A [137]

Answer:

Step-by-step explanation:

sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) – sin2(x) = 1 – 2 sin2(x) = 2 cos2(x) – 1. Now I am not sure if this is right but I remember another similar formula. Here is the correct formula cot x = cos x / sin x

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7 0
3 years ago
Read 2 more answers
Compute the slope of the line intersecting the points (1, 2) and (3, 8). *
DiKsa [7]

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 8)

m = \frac{8-2}{3-1} = \frac{6}{2} = 3

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3 years ago
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