The sides of a right triangle can be found using the Pythagorean Theorem: a^2+b^2=c^2
c is the hypotenuse (the longest side) of the right triangle and a and b are the two other legs. Knowing any two sides of the right triangle, you can find the other using this formula.
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Answer:
speed of the boat = 100 mph
Step-by-step explanation:
Let x = speed of the boat
upstream speed = x - 4
downstream speed = x + 4
time = 24/(x - 4) = 26/(x + 4)
Cross multiply:
24(x + 4) = 26(x - 4)
24x + 96 = 26x - 104
104 + 96 = 26x - 24x
200 = 2x
x = 100 mph
Answer:
h = 4cm
Step-by-step explanation:
Diameter = 18cm
Radius = Diameter/2 = 18/2 = 9cm
V = 1/3*pi*r^2*h
We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.
So,
108 pi = 1/3*pi*9^2*h
108 pi = (81pi*h)/3
multiply 3 from both side
108pi*3 = (81pi*h)/3 *3
324pi = 81pi*h
Now divide the 81pi from both side
324pi/81pi = (81pi*h)/81pi
4 = h
So the height is 4cm
5/6 - 3/8
Rewrite the fractions to have a common denominator:
5/6 x 4 = 20/24
3/8 x 3 = 9/24
Now you have 20/24 - 9/24 = 11/24
The answer is D. 11/24
