B = 3h . . . . . . . .given by the problem statement
A = (1/2)bh . . . . formula for the area of a triangle
486 cm² = (1/2)*(3h)*h . . . substitute given information
(2/3)*486 cm² = h² . . . . . .multiply by 2/3
√324 cm = h . . . . . . . . . . . . . .take the square root
The height is 18 cm.
The base is 3*18 = 54 cm.
Answer: C) mC > mA > mB is correct regarding the angles of the triangle ABC.
Step-by-step explanation:
Given: In Δ ABC, the side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.
AB=4p-1 , AC=p+4 , BC=3p
where p+4 < 3p [as p≥3]
3p < 4p-1 [as p≥3]
⇒ 4p-1> 3p > p+4
⇒AB>BC>AC
Angle opposite to AB ,BC and AC is m∠C ,m∠A and m∠B.
Therefore mC > mB > mA [∵Angle opposite to greater side is greater]
Thus , mC > mA > mB is correct regarding the angles of the triangle ABC.
Speed of boat in still water ---- x km/h
speed of current ------ y km/h
distance with the current = 4(x+y)
distance against the current = 5(x-y)
we know that 3.5(x+y) = 70
x+y = 20
but 4(x+y) = 4(20) = 80
then 5(x-y) = 80
x-y = 16
x+y=20
x-y=16
add them
2x = 36
x = 18 , then y = 2
If you meant a thickness of 1/2 inch. . .
Because the inserts are put on all the sides, the dimensions of the usable space are 5 X 5 X 9. This means the diameter of the base is 5. The radius is half the diameter, so we divide 5 by 2 to get the radius. 5/2 = 2.5. Now, we plug in the radius and the height (9) into the formula for the volume of a cylinder, which is


So, D is correct.
≈ 6 (in simplest form)
Answer is <em>5 S.R. 6 </em>