Step-by-step explanation:
the area of a full circle (360°) is
pi×r² = pi×5² = pi×25
a 40° segment is then just 40/360 = 1/9 of the full circle.
so,
pi×r²×1/9 = pi×25/9 = pi×2.777777777...
so, either there is a mistake in the problem description, or your teacher wants you to cut off the decimals (after the decimal point), in which case D would be the right answer.
since our radius is 5, that makes r² always 25.
there are no integer factors I can divide 25 by to create any of the 4 solutions of 16 or I or 4 or 2.
and there is no integer factor I can divide 360 by to get 25.
so, something is wrong here regarding the problem description. either the radius or the angle or the solution options are wrong and not fitting to each other.
The value of x in both case is 17 and 10.
<h3>
</h3><h3>What is complementary and supplementary angle?</h3>
If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
1. As the given angle is 90 degree i.e., complementary angle.
So,
22+4x=90
4x= 90-22
4x= 68
x= 17
2. As the figure for the linear pair i.e., supplementary angle
So,
110+7x=180
7x=70
x=10
Hence the value of x in both case is 17 and 10.
Learn more about complementary and supplementary angle here:
brainly.com/question/3027144
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Answer:
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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.
First, you have to find how many weeks are in 98 and to do so, you would divide it by 7. which turns out to be 14. If you divide 14 by 4 you'll find that their population will double 3 times, but not 3.5 because it is every 4 full weeks.
The equation will look like this, however, I'm not completely certain about the format. I'm using the formula for exponential growth
P(t)=r(2)^t
I did use t as weeks, but for every 4 weeks. R is the number of rabbits. If we were to input our information, we'd get:
P(3)=5(2)^3
If you work it out, you get 40 rabbits. In 14 weeks, the rabbits will double 3 times, so if we were to just figure it out without using the formula, we could double 5 which is 10, double it again, which is 20, and then double it a third time. which is 40.