Answer:
2.meters
Step-by-step explanation:
Lenght of ladder = 4 m
θ = 30°
To obtain h;
Using Pythagoras rule :
Sinθ = opposite / hypotenus
Hypotenus = 4 ; opposite = h
Sin 30 = h / 4
0.5 = h / 4
h = 0.5 * 4
h = 2 m
Hence, distance between th efoot of ladder and the base of the wall is 2 m
f(0) means the function output when the input is x = 0. This is the same as saying the y value when x = 0.
f(x) = 3-2x
f(0) = 3-2(0)
f(0) = 3
The point (0,3) is on the graph. This is the y intercept which is where the graph crosses the y axis. The y intercept always occurs when x = 0.
So in other words, the special name for f(0) is the y intercept.
Answer:
About 588.7 mm^3
Step-by-step explanation:
The formula for the volume of a sphere is (4/3)*pi (or in this case 3.14)*r^3, where r is the radius.
We need the radius. We are given the diameter, 10.4.
The radius is half the diameter, so 10.4/2=5.2.
Use r=5.2 and put it into the formula:
(4/3)*3.14*5.2^3≈588.7
Answer:
1/5
Step-by-step explanation:
Gradient is another word for slope. To find the gradient, we have to use a formula.
Answer:
7) (f+g)(x) = 4^x +5x -5
8) (f-g)(x) = 4^x +x +5
Step-by-step explanation:
7) add the two expressions.
(f+g)(x) = f(x) +g(x) = (4^x +3x) +(2x -5)
(f+g)(x) = 4^x +5x -5
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8) subtract g(x) from f(x).
(f-g)(x) = f(x) -g(x) = (4^x +3x) -(2x -5) = 4^x +3x -2x +5
(f-g)(x) = 4^x +x +5
