We are given : Distance of the swing = 100 feet.
Distance of slide = 80 feet.
Angle between swing and slide = 30 degrees.
We need to find the distance between the swing and the slide.
Distance of swing, distance of slide and distance between the swing and the slide form a triangle.
We can apply cosine law to find the distance between the swing and the slide.
c^2 = a^2 +b^2 - 2ab cos C
c^2 = 100^2 +80^2 - 2(100)(80) cos 30°
c^2 = 10000 + 6400 -2* 8000
c^2 = 16400 - 8000
c^2 = 16400 - 13856
c^2 = 2544
c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
Answer:
f(g(x)) = g(f(x)) = x
Step-by-step explanation:
Lemma;
If f(x) and g(x) are inverses, then the compositions f(g(x)) = g(f(x)) = x
Mean, because the outliers are limited.
There will be nights when you get more sleep or less sleep than usual, but overall, they will not be far away from the rest of the data you're comparing.
Answer:
3
Step-by-step explanation:
w= x
l= x-4
x(x-4) = 45
x^2-4x = 45
Answer:
Step-by-step explanation:
The edge of the cube, a = 0.1 m
We need to find the volume of the cube. The formula for the volume of the cube is given by :
Put the respected values,
So, the volume of the cube is equal to .