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Artist 52 [7]
3 years ago
9

2. Find the area of a circle with a diameter of 10 feet.

Mathematics
2 answers:
Paha777 [63]3 years ago
8 0

Step-by-step explanation:

d=2r

πr^2

10/2=r

5=r

5^2π

25π=78.5398

Hope that helps :)

FromTheMoon [43]3 years ago
8 0

Answer:

<h2>Area of a circle = πr²</h2>

Here,

r=10/2

r=5

so..

The area

<h2>= 3.14*5*5</h2><h2>=3.14*25</h2><h2>=78.5 feet²</h2>
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2 years ago
Which line is parallel to the line<br> shown below?
Travka [436]
<h3>Answer:  Choice D</h3>

4x - 3y = 15

====================================================

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
  • slope of equation C is -4/3
  • slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0
10 months ago
Complete the solution of the equation find the value of y when x equals 2. -8x - 5y = -1
tatuchka [14]

Answer: y = -3

<u>Step-by-step explanation:</u>

-8x - 5y = -1

<u>+8x        </u>  <u>+8x </u>

       -5y = 8x  - 1

       <u> ÷-5 </u> <u> ÷-5</u>  <u>÷-5</u>

           y = -\frac{8}{5}x + \frac{1}{5}

       y(2) = -\frac{8}{5}(2) + \frac{1}{5}

               = -\frac{16}{5} + \frac{1}{5}

               = -\frac{15}{5}

                = -3

6 0
3 years ago
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