The formulas for arc length and area of a sector are quite close in their appearance. The formula for arc length, however, is related to the circumference of a circle while the area of a sector is related to, well, the area! The arc length formula is
. Notice the "2*pi*r" which is the circumference formula. The area of a sector is
. Notice the "pi*r squared", which of course is the area of a circle. In our problem we are given the arc length and the radius. What we do not have that we need to then find the area of a sector of the circle is the measure of the central angle, beta. Filling in accordingly,
. Simplifying by multiplying by 360 on both sides and then dividing by 36 on both sides gives us that our angle has a measure of 60°. Now we can use that to find the area of a sector of that same circle. Again, filling accordingly,
, and
. When you multiply in the value of pi, you get that your area is 169.65 in squared.
Answer:
1. Hit the skin with a needle or pin is a good example of stimulus. The sudden removing of the hand is the response.
2. When somebody bangs a door you jump if you were unaware because of the sound. The jumping is the response to a stimulus.
Step-by-step explanation:
Answer:
q*1/4>-16
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Recall that the biggest angle will always be opposite from the biggest side.
IT is opposite from Angle S, which we can figure out to be 180-108-25=47.
SI is opposite from Angle T, which is 41.
ST is opposite from Angle I (the whole thing). Just from looking at it, we know that it is the biggest angle. If we want to figure it out, Angle I is 180-41-72+25=92.
The smallest side is SI, then IT, then ST.
The correct order is: SI, IT, and ST.
Answer:
Correct answer is: 7. y = 28° and x = 29° 8. y = 7 and x = 5
Step-by-step explanation:
7.
In the parallelogram, adjacent angles are supplementary and the opposite angles are the same.
According to this:
(3 y - 20) + (4 y + 4) = 180 => 7 y - 16 = 180 => 7 y = 180 + 16 => 7 y = 196
y = 196/7 = 28° => y = 28°
4 x + (2 x + 6) = 180 => 6 x + 6 = 180 => 6 x = 180 - 6 => 6 x = 174
x = 174/6 = 29° => x = 29°
8.
At the parallelogram, the diagonal is split into two equal parts.
According to this:
3 y - 3 = 2 y + 4 => 3 y - 2 y = 4 + 3 => y = 7
x - 1 = 2 x - 6 => 2 x - x = 6 - 1 => x = 5
God with you!!!