Answer: 
Step-by-step explanation:
From the given picture, it can be seen that the radius of the circle = 16 units
Also, the measure of central angle XYZ 
radians
The area of sector with radius r and angle x radian is given by :-
Now, the area of the shaded sector is given by :-
Answer:
2 good scoops
Step-by-step explanation:
I got you I think
Step-by-step explanation:
Pythagoras (for right-angled triangles) :
c² = a² + b²
c being the Hypotenuse, the side opposite of the right angle. and that would be here the diagonal.
c = diagonal = 10 ft
therefore, the width of the rectangle is 10/2 = 5 ft
10² = 5² + b²
100 = 25 + b²
b² = 75
b = length = sqrt(75) = 8.660254038... ft
Answer:
1. 4*10^7
2. 5.1*10^-7
3.9,842,000,000(9.842*10^9)
Answer: speed other the slower train is 46 mph.
speed other the faster train is 56 mph.
Step-by-step explanation:
Let x represent the speed of the slower train. One train travels 10 mph faster than the other. This means that the speed of the faster train is (x + 10) mph.
In 4.5 hours, the trains are 459 miles apart. This means that the total distance travelled by both trains in 4.5 hours is 459 miles.
Distance = speed × time
Distance travelled by the slower train in 4.5 hours is
4.5 × x = 4.5x
Distance travelled by the faster train in 4.5 hours is
4.5(x + 10) = 4.5x + 45
Since the total distance covered is 459 miles, therefore,
4.5x + 4.5x + 45 = 459
9x = 459 - 45 = 414
x = 414/9
x = 46 mph
Speed of the faster train is
46 + 10 = 56 mph
