Answer:
35.33
Step-by-step explanation:
The circle with radius 5 has a sector with a central angle of 9/10 pi.
The area of a sector is given as:
where α = central angle of the sector in radians
r = radius of the circle
The area of the sector is therefore:
The area of the sector is 35.33.
The probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.
<h3>What is probability?</h3>The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.
According to the given question.
Numnber of yellow balls = 2
Number of green balls = 3
Number of red balls = 5
Number of black balls = 6
So,
The total number of balls in a bag = 2+ 3+ 5 + 6 = 16
And,
The sum of yellow and red ball = 2 + 5 = 7
Therefore,
The probability of either a yellow or a red ball being drawn if only one ball is drawn
=
Hence, the probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.
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The lengths that make the sense for the value of b are 0.5 inches and 2 inches.
<h2>Given </h2>An isosceles triangle has two sides of equal length, a, and a base, b.
The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
<h3>What is the triangle inequality theorem?</h3>If two sides of a triangle are unequal, the longer side has a greater angle opposite to it.
The equation of the perimeter of the triangle;
1. Substitute b = 0.5 in the equation;
Then,
Verify the triangle inequality theorem;
0.5 + 7.6 > 7.6 is true
7.6 + 7.6 > 0.5 is true
2. Substitute b = 2 in the equation;
Then,
Verify the triangle inequality theorem;
0.5 + 76.85 > 6.85 is true
6.85 + 6.85 > 2 is true
Hence, the lengths that make the sense for the value of b are 0.5 inches and 2 inches.
To know more about the Triangle inequality theorem click the link given below.