Correct answer is option D.The solution is listed below
Answer:
height = 20 cm
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ← r is the radius and h the height
given r = 12 and V = 2880π, then
π × 12²h = 2880π
144πh = 2880π ( divide both sides by 144π )
h = 
= 20
Answer: 7/8
Step-by-step explanation:
The easiest way to do this is to find a common denominator, so first we find out 2 times how much equals 8? 2x4 = 8. So with 8 being our common denominator, we have to multiple 4 to every number in the fraction 1/2. So 1x4 = (4/8) = 2x4. Then you just add the top numbers, so 4 + 3 = 7 and keep the denominator. 7/8.
Answer:
35/3 yd
Step-by-step explanation:
first convert the hypotenuse into 37/3, then you can write (37/3)^2-(4)^2=a^2. solve to get 35/3
Answers:
x = 6
y = 6*sqrt(2)
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Explanation:
To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios
tan(45) = 1
tan(angle) = opposite/adjacent
tan(45) = x/6
1 = x/6
6*1 = x
x = 6
-------
sin(45) = 1/sqrt(2)
sin(angle) = opposite/hypotenuse
sin(45) = 6/y
1/sqrt(2) = 6/y
1*y = sqrt(2)*6
y = 6*sqrt(2)
