Arc length = radius * central angle (radians)
60 degrees = PI/3 radians
arc length = 15 * PI/3
arc length = 5 * PI
Cylinder A- 50.27 in.
Cylinder B- 75.4 in.
The correct answer is D)
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Answer:
two coins are flipped:
- if dime land heads and nickel land heads then Allan wins
- if dime land heads and nickel land tail then Beth wins
- if dime land tail and nickel land heads then Carlos wins
- if dime land tail and nickel land tail then Denesha wins
Step-by-step explanation:
The method described above is fair since the probability of each case is 0.25.
If the two coins are flipped:
- The probability dime land head is 0.5
- The probability dime land tail is 0.5
- The probability nickel land head is 0.5
- The probability nickel land tail is 0.5
Then the probability dime land heads and nickel land heads is 0.5 × 0.5 = 0.25.
The other four cases are calculated similarly and their probability is also 0.25
Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
__
<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
The return trip was 21.2 hours long.
Step-by-step explanation:
Given,
Speed of plane from US = 212 mph
Speed of plane on return trip = 232 mph
Let,
x be the time taken on return trip.
Time taken from US = x+2
We know that;
Distance = Speed * Time
Distance of plane from US = 212(x+2) = 212x+424
Distance on return trip = 232x
As the distance will be same, therefore,
Dividing both sides by 20
The return trip was 21.2 hours long.
Keywords: distance, speed
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