Answer:
<u>The probability that a randomly selected point within the circle falls in the red shaded area is 1/3 or 0.33.</u>
Step-by-step explanation:
1. Let's review all the information provided for answering correctly the question:
Degrees of the red shaded area = 60° * 2 = 120°
Degrees of the circle = 360°
2. Let's find out the probability that a randomly selected point within the circle falls in the red shaded area.
Let's recall that any full circle has 360 degrees and the shaded area measures 120 degrees.
Thus,
Probability that a randomly selected point within the circle falls in the red shaded area = 120/360
<u>Probability that a randomly selected point within the circle falls in the red shaded area = 1/3 = 0.33</u>
Answer:
6.7"
Step-by-step explanation.
Check attachment
Answer:
148°
Step-by-step explanation:
The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.
arc QN = 2(74°) = 148°
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<em>Comment on the question and answer</em>
Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.
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We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.
Formula: Area = length * width
Substitute in what you know: 42 = length * 6
Divide both sides by 6 to get the length: length = 7
Formula: Perimeter = 2 (length + width)
Substitute in what you know: P= 2 (7+6)
Solve: Perimeter = 26 ft
Answer:
Because it is 3 units to the left of 2 on a horizontal number line
Step-by-step explanation:
Given
Required
Why?
The interpretation of the question is that:
What is the result when 2 is shifted 3 units in the negative direction (i.e. towards the left)?
First, we have a horizontal to have the the following representation:
<.....-4 -3 -2 -1 0 1 2 3 4 5 ......>
Taking the positions of 2 and -1 into consideration,
<.....-4 -3 -2 -1 0 1 2 3 4 5 ......>
We can see that the distance between 2 and -1 is 3 units towards the left
In other words, -1 is 3 units from 2 in the left direction
<em>Hence, option A answers the question</em>