Answer:
2/3
Step-by-step explanation:
The first fraction has to have the LCD of 24 because its what is divisible by 4 and 12
The first fraction has to be multiplied by 6/6 to get to the denominator of 24
The second fraction has to be multiplied by 2/2 to get to the denominator of 24
The first fraction then becomes
6/24
And the second fraction becomes
10/24
The answer would be 16/24 which simplifies to 2/3
Hope I helped! <3
Answer:
In a sporting event, the scoring area (shown here) consists of four concentric circles on the ice with radii of 6 inches, 4 feet, 6 feet, and 7 feet. If a team member lands a (43-pound) stone randomly within the scoring area, find the probability that it ends up centered on the given color. (a) red (b) white (c) blue (a) The probability that it ends up centered on red is (Type an integer or a simplified fraction.) (b) The probability that it ends up centered on white is (Type an integer or a simplified fraction.) (c) The probability that it ends up centered on blue is (Type an integer or a simplified fraction.) of the answer boxes
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
