Answer: 5 is 2 and 1/2 6 is 2 and 3/4 7 is 3 and 4/5 8 is 10 and 1/2
Step-by-step explanation:
Ask me anytime easy
Answer:
First one: x = 3, and y = 2
Second: 5
Third: Yes because he will have $37.50
Fourth: The numbers 2.5 and 3 will make it true
Step-by-step explanation:
1. 4(3) + 2(2) + 3 = 12 + 4 + 3 = 19
2. 4x + 2 = 22, 4x = 20, x = 5
3. 2.25y + 7.25z + 11.25, 2.25(2) + 7.25(3) + 11.25 = 4.5 + 21.75 + 11.25 = 37.5
He will get $37.50, which is enough.
4. The numbers 2.5 and 3 will make it true: 2(2.5) + 3 = 5 + 3 = 8, 2(3) + 3 = 6 + 3 = 9, the numbers below it won't make it true.
Answer:
parallel
Step-by-step explanation:
Parallel lines have equal slopes.
Calculate the slopes m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 3)
m = 
= 
Repeat with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1)
m = 
=
Since slopes are equal then parallel
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
