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qaws [65]
3 years ago
10

Find the area of the figure to the nearest square unit.

Mathematics
1 answer:
alex41 [277]3 years ago
4 0

Answer:

357 mi²

Step-by-step explanation:

The shape is made of a triangle and a half-square

we will calculate the area of each one

  • The half square:

let A1 be the area of the half-circle:

A1= (10²*π)/2 = 50π mi²

  • The rectangle:

Let A2 be the area of the triangle:

A2= 10*20=200 mi²

  • The whole shape:

let At be the total area:

At =A1+A2= 200+50π =357.07≈ 357 mi²

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Which of these points lies on the circle with the center (2,3) and radius 2?
yan [13]

Answer:

The answer to your question is the letter A.

Step-by-step explanation:

Data

Center = (2, 3)

radius = 2

Process

1.- Find the equation of the line

              (x - h)² + (y - k)² = r²

-Substitution

              (x - 2)² + (y - 3)² = 2²  

-Simplification

              (x - 2)² + (y - 3)² = 4

-Evaluate the points in the equation

A. (4, 3)

              (4 - 2)² + (3 - 3)² = 4

                   2² + 0 = 4

                           4 = 4     This point lies in the circle

B (-1, 0)

              (-1 - 2)² + (0 - 3)² = 4

                        -3² + (-3)² = 4

                          9 + 9 = 4   This point is not part of the circle

C. (1, 3)

              (1 - 2)² + (3 - 3)² = 4

                 (-1)² + (0)² = 4

                            1 = 4          This point is not part of the circle

D. (3, 4)

              (3 - 2)² + (4 - 3)² = 4

                     1² + 1² = 4

                            2 = 4          This point is not part of the circle

5 0
3 years ago
Read 2 more answers
What is the factored form of the following expression? d2 – 14d + 46
Novay_Z [31]
The solution to the problem is as follows:

<span>⇒d2−9d−5d+45</span>
<span>
⇒d(d−9)−5(d−9)</span>
<span>
⇒(d−5)(d−9)

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
8 0
3 years ago
B Write the coordinate of T after a dilation with a scale factor of 1/4 centered at the origin. 1 10 T х -10 0 S U 10 Write your
Vanyuwa [196]

Answer:

(4, 4)

Step-by-step explanation:

Coordinates of a point (x, y) after dilation with a scale factor k,

Rule to be followed,

(x, y) → k(x, y)

        → (kx, ky)

Coordinates of point T are (8, 8).

Dilation of the point T after dilation with a scale factor of \frac{1}{4} will be,

(8, 8) → \frac{1}{2}(8, 8)

        → (4, 4)

Therefore, coordinates of the image point B' will be (4, 4).

3 0
3 years ago
Which inequality represents the graph below?
telo118 [61]

Answer:

The answer is B

the shaded part is below which signifies a less than sign

so you can cross out options A and C

now make y=0

for option B, it will give √Xless than or equal to √4

for option D, it will give √4 less than or equal to √x

to bring √x to the other side, the inequality sign will change to greater than

Therefore the answer is B

7 0
2 years ago
Which graph shows a rate of change of 1/2 which is a fraction between –4 and 0 on the x-axis?
irakobra [83]

By definition, we have that the average rate of change is given by:

AVR = \frac{y2-y1}{x2-x1}

Substituting values we have:

AVR = \frac{3-1}{0-(-4)}

Rewriting we have:

AVR = \frac{2}{0+4}

AVR = \frac{2}{4}

AVR = \frac{1}{2}

Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.

Answer:

graph shows a rate of change of 1/2 is the linear function

6 0
3 years ago
Read 2 more answers
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