Answer:
Step-by-step explanation:
Since it is a right-angled triangle, we will apply Pythagoras Theorem.
<u>Given are:</u>
Base = 16
Perpendicular = x
Hypotenuse = 18
<u>Pythagoras Theorem:</u>
(18)² = (16)² + (x)²
324 = 256 + x²
Subtract 256 to both sides
324 - 256 = x²
68 = x²
Take sqrt on both sides
8.2 = x
x = 8.2
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
36v - 12 = 12 .....add 12 to both sides
36v - 12 + 12 = 12 + 12...simplify
36v = 24...divide both sides by 36
(36/36)v = 24/36
v = 2/3 <===
Answer:
d = 576
Step-by-step explanation
Think of the two different speeds as belonging to 2 different cars going to the same place, taking the same route and going to the same place.
Let the time traveled by the fast car = t
Let the time traveled by the slower car = t+4
Let the rate of travel of the slow car = 36 mph
Let the rate of travel of the fast car = 48 mph
===========
d = 36*(t + 4)
d = 48 * t
Since the distance is the same, they can be equated.
48t = 36(t + 4) Remove the brackets.
48t = 36t + 144 Subtract 36t from both sides.
48t - 36t = 144 Combine
12t = 144 Divide by 12
t = 144/12
t = 12
Therefore the faster car takes 12 hours to get where it is going.
d = 48 * t
d = 48 * 12
d = 576
volume = 1/2 x a x b x X
1152= 1/2 x 12x 12 x X
12*12 = 144
1152 = 1/2 x 144 x X
1152/ 1/2 = 2304
2304 =144 x X
X=2304/144 = 16
check 1/2*12*12*16 = 1152
x=16cm
