Answer:
a. 277.3 m²
b. $307.86
Step-by-step explanation:
a. Area of the wall to be painted = area of rectangle - area of triangle
= L × W + ½×a×b×sin θ
L = 17 m
W = 14 m
a = 8.7 m
b = 9.5 m
θ = 72°
Plug in the values into the equation
Area of the wall = (17×14) + (½*8.7×9.5×sin 72)
Area of the wall = 238 + 39.3024105
Area of the wall to paint ≈ 277.3 m²
b. 20 liters of paint of 1 container cost $21.99
If 1 liter of paint covers 1m², therefore,
277.3 m² will need = 277.3 × 1 = 277.3 liters of paint.
20 liters = 1 container of paint
277.3 liters = 277.3/20 = 13.865 ≈ 14 containers
1 container = $21.99
14 containers = 21.99 × 14 = $307.86
the first option is the answer
Step-by-step explanation:
4c + 6a <= 120 [building hours]
4c + 4a <= 100 [testing hours]
4 * 20 + 6 * 6 <= 120
80 + 36 <= 120
116 <= 120
true, they have enough building hours
4 * 20 + 4 * 6 <= 100
80 + 24 <= 100
104 <= 100
false, they won't have enough testing hours
the first option is the answer
UPWARD JOURNEY
(g is -ive)
u= 80.5m/s
Height reached= u^2/2g= 324m
Height of the ball at topmost point of journey= 414m
DOWNWARD JOURNEY
(g is +ive)
u=0
We need to find the velocity at 89m from ground, which is equivalent to finding velocity at 325 m from the topmost point in downward direction.
v= √2gh= √2*10*325= 80.6= 81 m/sec(Answer)
