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Elanso [62]
3 years ago
13

Roderick wants to draw a circle for which the numerical value of the circumference is greater than the value of the area. Which

lengths could he use for the radius? Check all that apply.

Mathematics
2 answers:
Katen [24]3 years ago
8 0

Answer:

The length of the radius must be less than 2

\frac{1}{2},1,1.5

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

The area of a circle is equal to

A=\pi r^{2}

where r is the radius of the circle

In this problem we have that

C > A

Substitute

2\pi r > \pi r^{2}

Simplify

2r > r^{2}

2> r ------> rewrite

r< 2\ units

The length of the radius must be less than 2

the answer is

\frac{1}{2},1,1.5

Dima020 [189]3 years ago
4 0

The best way to justify which answers are correct are to calculate the circumference and the area for each of the circles with the given radii. I organized this information into a chart.


Circumference | Area

1/2 3.14 0.785


1 6.28 3.14


1 1/2 9.42 7.065


2 12.56 12.56


2 1/2 15.7 19.625


The first three choices will result in a numerical value for the radius that is smaller than the area.

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Step-by-step explanation:

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2 years ago
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frez [133]
10(x/2 + 8) = 11, expand

10x/2 + 80 = 11

5x/2 = 11-80= -69
5x = -138
x = - 138/5




4 0
3 years ago
Select one:
spayn [35]
D Oh no! Something went wrong while adding your answer
It's too short. Write at l<span>Remember that it's against our guidelines to copy content from other websites, books or any other material to which you don't own the rights to. We know you have the power to solve these problems on your own!</span>east 20 characters to explain it well
4 0
3 years ago
WILL GIVE 32 POINTS FOR WHOEVER GIVES CORRECT ANSWER
Brilliant_brown [7]

Graph the line that goes through the point (3,-1) and has a y-intercept of -4:

You can simply graph two points to create the line for this problem. The points are (3, -1) and (0, -4). The slope for this line is 1/1 too, which means that if you need more points, you would start at either of the two given points and go up one unit and over one unit to the right.

Select three points that the line would go through (y = x - 3):

In the equation, the y-intercept is given, which is one point - (0,-3). Then, we can go up one unit and right one unit to find a second point - (1,-2). And also down one unit and left one unit to find a third point - (-1,4).

Which equation represents the same relationship shown in the graph:

First, let's find the y-intercept, which is (0,6). Then, we can find other points where the line crosses and count how many units up and to the right that would be, which is 1/1. Therefore, the correct equation is B - y = x + 6.

Which of the following graphs represents y = x - 2:

The y-intercept is (0,-2) and the slope is positive and 1/1. We are looking for a graph that crosses through the point (0,-2), points up and to the right, and increases by 1 unit up and 1 unit right each time. Therefore, the correct graph is B.

Hope this helps!! :)

8 0
2 years ago
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