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uysha [10]
3 years ago
8

Using the following diagram below, please answer the following:

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0
The radius of the circle is 15 cm,
The diameter of the circle is 30 cm,
The circumference of the circle is 94.248 cm,
The area of the circle is 706.86 cm^2

The radius is given in the diagram as half the circle, which is 15 cm.

The diameter is double the radius because the diameter measures the circle from edge to edge, so 15•2=30 cm.

The circumference of the circle is 2•3.14•r=C,
2•3.14=6.28, 6.28•15= 94.248 cm.

The area of the circle is 3.14•r^2, so the radius squared is 225 (15•15) and 225•3.14=706.86 cm squared :)
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Svetllana [295]
B for sure because yes
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3 years ago
Complete the steps to solve the equation. 9 – 4x = 2x 1. Addition property of equality: 9 = 6x 2. Division property of equality:
exis [7]

x = 3/2

Step-by-step explanation:

Given equation is:

9 - 4x = 2x

As we have to solve for x, x will be isolated on one side of the equation

So,

<u>1. Addition property of equality </u>

4x will be added on both sides

9-4x+4x=2x+4x\\9 = 6x

<u>2. Division property of Equality</u>

Dividing both sides by 6

\frac{6x}{6}=\frac{9}{6}\\x = \frac{3}{2}

Hence,

x = 3/2

Keywords: Linear equation, Variables

Learn more about linear equations at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

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Given: AB || CD
jarptica [38.1K]
First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1    3-8     5

Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3)   (I used point B here)
        5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span>     5      5                                   5

Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
                                                                                                         5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span>        5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span>     5</span>
3 0
3 years ago
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