Answer: -1.5 <= x < 1
Solution
The domain of the function is the values that the valriable x can take. According with the graph the variable x can take values between -1.5 (including because of the black point) and 1 (excluding because of the white point), then:
-1.5 <= x < 1
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:
-2/3
Step-by-step explanation:
because this is in slope intercept form, m is the slope, so in this case -2/3 is the slope
parallel lines always have the same slope and different y-intercepts
a parallel line could be y=-2/3 +15
A scale of 1:40 can be read as "one cm on the model corresponds to 40 cm in the original object". or
"one inch on the model corresponds to 40 inches
this means that the 2 inches correspond to 2 times 40, that is 80 inches and 1.5 corresponds to 1.5*40=60 inches
which means that the original painting has dimensions of 80 by 60 inches.
b) Area = 80 cm * 60 cm = 4,800 cm²
c) 80 cm * 1 inch / 2.54 cm = 31.50 inches ;
60 cm * 1 inch/2.54 cm = 23.60 inches
d) Area = 31.50 in * 23.60 in = 743.40 inches²
