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Ronch [10]
3 years ago
7

Mateo is constructing an equilateral triangle inscribed in a circle with center P. He draws the diameter of the circle through c

enter P using a straight edge. Next he opens his compass to a width equivalent to the radius of the circle. What is his next step?
A. Place the point of the compass on the center of the circle and mark off arcs to the left and right.

B. Place the point of the compass in one of the locations where the diameter intersects the circumference and mark off arcs on either side.

C. Place the point of the compass on the edge of the circle and mark off arcs all the way around.

D. Place the point of the compass on the edge of the circle and mark off two arcs.
Mathematics
2 answers:
hjlf3 years ago
8 0
The answer is A. The only way you can get the angle correct is by putting the compass in the center of the circle.
Solnce55 [7]3 years ago
8 0

THE APEX ANSWER IS PLACE THE POINT OF THE COMPASS IN ONE OF THE LOCATIONS WHERE THE DIAMETER INTERSECTS THE CIRCUMFERENCE AND MARK OFF ARCS ON EITHER SIDE.

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Bobby describes two lines to Frank, telling him that beginning at point A, line #1 goes up 3 units and to the right 8 units, whi
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When a line changes position from one point to another, the movement is referred to as transition.

<em>Bobby does not have enough information to make a valid conclusion.</em>

The movements of the lines are given as:

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<em>Line 2: 8 units down and 3 units right</em>

The given information only describes the movement of both lines, but does not give details about the initial relationship between the lines.

<em>Hence, no valid conclusion can be made with the given information.</em>

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brainly.com/question/5830373

8 0
3 years ago
A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sam
Julli [10]

Answer:

There is not enough evidence to support the claim that union membership increased.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 12.5% = 0.125

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.125\\H_A: p > 0.125

The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

This is a one-tailed(right) test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.13-0.125}{\sqrt{\frac{0.125(1-0.125)}{400}}} = 0.3023

Now, we calculate the p-value from the table.

P-value = 0.3812

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that union membership increased.

8 0
3 years ago
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