The formula for the area of a sector in radians is
, where theta is the angle in radians. For us, the formula looks like this:
. Doing all the multiplication on that gives us
. Multiplying in pi and rounding to the nearest tenth gives us an area of 76.3 meters squared. You can use the formula for the area of a sector with the angle in degrees as well. Just replace the 360 degrees with 2pi and it works the exact same way.
The Tangent Line Problem 1/3How do you find the slope of the tangent line to a function at a point Q when you only have that one point? This Demonstration shows that a secant line can be used to approximate the tangent line. The secant line PQ connects the point of tangency to another point P on the graph of the function. As the distance between the two points decreases, the secant line becomes closer to the tangent line.
(35 + 47 + 42 + x) / 4 = 50
(124 + x) / 4 = 50....multiply both sides by 4, cancelling the 4 on the left side.
124 + x = 50 * 4
124 + x = 200
x = 200 - 124
x = 76 <===
Multiply the original price by the percent of markup: 47x.045=2.115. Round: 2.115=2.12. Add original price and amount of markup: 47+2.12=49.12. Answer: $49.12 :)
Answer: D. 72 m
Step-by-step explanation:
The formula for the volume of a cone is Volume = pi times radius squared and then times the height, and then divided by 3.
Since the diameter is 12, the radius is 6. Applying the formula, 6 squared is 36, times pi is 36 pi. The height is 6 so 36 * 6 = 216.
But be careful, we're not done yet... We still have to divide by 3
216 / 3 = 72
we can be sure this answer is correct because the other answers are clearly too big
here's your answer, hope this helps :)
