Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m
Answer:
x = 
Step-by-step explanation:
Since l bisects PQ at M then M is the midpoint of PQ, hence
PM = MQ, that is
5x - 7 = 11 - 2x ( add 2x to both sides )
7x - 7 = 11 ( add 7 to both sides )
7x = 18 ( divide both sides by 7 )
x = 
Answer:2.5
Step-by-step explanation:
Answer:
If the battery starts completely charged then after one hour it will be at 80% so at two hours it will be at 60. and there is 60 minutes in one hour so it goes down 10% in 30 minutes so it goes down 5% in 15 so it goes down 2.5% in 7.5
Answer:
The lengths are 5, 12, and 13.
Step-by-step explanation:
Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.
The Pythagorean Theorem may be used to find the lengths.
+
=
a, b are the short and long lengths and c is the hypotenuse
→ 
→ 
→ 
→ 
→ 
→ 
→
(The length cannot be negative)
The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.