#1 4/8 + 5/8 + 6/8 = 15/8 = 1 7/8
The correct answer is 1 7/8.
#2 The correct answer is YES.
The correct answer is B) 9 m.
The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.
Using this same formula for circle S, we will work backward to find the radius:
18π = 2/9πr²
Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²
Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²
Take the square root of both sides:
√81 = √r²
9 = r
Answer:
x < (-0.5)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask
Answer:
The density of the pine log is 0.2842 pounds per inch.
Step-by-step explanation:
To calculate the density of an object, you must divide its mass by its volume (radius times height). Thus, given that the pine log that has a 5-inch radius and is 30 inches long, while its weight is approximately 42.63 pounds, the following calculation must be performed to determine its density:
X = 42.63 / (30 x 5)
X = 42.63 / 150
X = 0.2842
Thus, the density of the pine log is 0.2842 pounds per inch.
Triangles with height 
and base 
, with 
have area 
.
Such cross sections with the base of the triangle in the disk 
(a disk with radius 5) have base with length
i.e. the vertical (in the 
plane) distance between the top and bottom curves describing the circle 
.
So when 
, the cross section at that point has base
so that the area of the cross section would be 6^2/2 = 18.
In case it's relevant, the entire solid would have volume given by the integral
