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abruzzese [7]
3 years ago
7

What is the area of this shape?

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer: 10

Step-by-step explanation:

You times 4 and 5 then you divide in half because it is a triangle

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55*10/2=275
The area of his roof is 275
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a walking path across a park is represented by the equation y=-2x-7. A new path will be built perpendicular to this path.The pat
jonny [76]

Answer:

The equation that represents the new path is y=(1/2)x-2

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-2x-7

so

the slope m is equal to

m=-2

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=-2 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/2

step 3

With m=1/2 and the point (-2,-3) find the equation of the line

y-y1=m(x-x1)

substitute

y+3=(1/2)(x+2)

y=(1/2)x+1-3

y=(1/2)x-2 -----> equation that represent the new path

8 0
3 years ago
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hram777 [196]

Answer:

C  F

Step-by-step explanation:

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zhenek [66]

Step-by-step explanation:

Use SOH-CAH-TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

Let's start with #12.  The hypotenuse is 18.  The side adjacent to ∠B is 6.  Since we have the adjacent side and hypotenuse, we should use cosine.

cos B = 6/18

Solving for B:

B = cos⁻¹(6/18)

Using a calculator:

B ≈ 70.5°

Now let's do #14.  The side adjacent to ∠B is 19, and the side opposite of ∠B is 22.  Since we have the adjacent side and opposite side, we should use tangent.

tan B = 22/19

Solving for B:

B = tan⁻¹(22/19)

Using a calculator:

B ≈ 49.2°

8 0
3 years ago
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