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Aleksandr [31]
3 years ago
11

What is the area of the composite figure?

Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

B

Step-by-step explanation:

The composite figure consists of a triangle and a semicircle.

The area (A) of the triangle is calculated as

A = 0. 5 bh ( b is the base and h the perpendicular height )

here b = 2 × 4 = 8 and h = 3, thus

A = 0.5 × 8 × 3 = 12 in²

The area (A) of the semicircle is calculated as

A = 0.5πr² ← r is the radius = 4, thus

A = 0.5π ×4² = 0.5 = 0.5π × 16 = 8π

Sum the 2 areas together for area of composite shape, that is

area of composite shape = ( 8π + 12 ) in²  → B

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D

Step-by-step explanation:

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3 years ago
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What is the equation of the line that passes through the points (-6,2) and (4,-3)
stich3 [128]

Answer:

The equation is:  9x-y = 56

Step-by-step explanation:

Given two point:  (x,y) = (-6,2)

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Now, to find the slope of the line:

Slope =   y1-y2/x1-x2  => 2-4/-6-(-3) = -1/9

Then, the equation of the line passing through a point:

=>   y-y1 = m(x-x1)

=>   y-2 =  -1/9(x-6)

=>  1(y-2) = -9(x-6)

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7 0
3 years ago
Prove the Triangle Proportinality Theorem
Xelga [282]

Answer:

Step-by-step explanation:

Given: DE║BC

To prove: \frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}

                Statements                           Reasons

1). DE║BC                                   1). Given

2). ∠1 ≅ ∠4, ∠3 ≅ ∠4                2). Corresponding angles theorem

3). ΔADE ~ ΔABC                      3). AA Similarity theorem

4). \frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}                                4). Corresponding sides are proportional

5). \frac{\text{AD+DB}}{\text{AD}}=\frac{\text{AE+EC}}{AE}                   5). Segment addition postulate

6). 1+\frac{\text{DB}}{\text{AD}}=1+\frac{\text{EC}}{\text{AE}}                   6). \frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}

7). \frac{\text{DB}}{\text{AD}}=\frac{\text{EC}}{\text{AE}}                                7). Subtract 1 from both sides

8). \frac{\text{AD}}{\text{DB}}=\frac{\text{AE}}{\text{EC}}                               8). Take the reciprocal of both sides

5 0
3 years ago
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ioda

Answer:

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Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

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In this problem we have

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tatyana61 [14]

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hope it really helps...!!!

4 0
2 years ago
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