Answer:
18.8 m²
Step-by-step explanation:
The area of a sector is given by the formula ...
A = (1/2)r²θ . . . . . . . r is radius, θ is the central angle in radians
To convert an angle in degrees to one in radians, multiply by π/180°.
Your 135° sector has an area of ...
A = (1/2)(4 m)²(135°)(π/180°) = 6π m²
A ≈ 18.8 m²
Answer:
its -3
all you gotta do is substitue the point in for x and y
x = -4
y = 7
Answer:
143.7cm^2
Step-by-step explanation:
Given data
Volume= 576cm^3
Radius= 8cm
The expression for the volume of cylinder is
V= πr^2h
substitute
576= 3.142*8^2*h
576= 3.142*64*h
576= 201.088h
h= 576/201.088
h=2.86cm
The formula for finding the lateral area of a right circular cylinder is:
A=2πrh
substitute
A= 2*3.142*8*2.86
A= 143.7cm^2
Hence the area is 143.7cm^2
We need to find the area under the standard normal curve that is to the right of 66.
Various ways of doing this include the following:
1) Calculator: normalcdf(66, 10000, 100, 15) = 0.988, or 98.8%
2) z-scores (using a published table of z scores)
66 - 100
a) Find the z score corresponding to 66. It is z = -------------- = -2.27
15
b) Find the area under the st. normal curve to the left of z=-2.27 (it is 0.012). Subtract that area from the total area, 1.000. The result will be the answer to this question.
Answer:
5
Step-by-step explanation:
0, 2, 3, 5, 5, 6, 9, 11---The middle number is 5