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:
Step-by-step explanation:
mid point = [(a1 + a2)/2 , (b1 + b2)]
(a1,b1) = first point
(a2,b2) = end point
Using all x coordinates
(a1 + a2)/2 = 1
(-1 + a2)/2 = 1
-1 + a2 = 2
a2 = 3
Using all y coordinates
(b1 + b2)/2 = -1
(-3 + b2)/2 = -1
-3 + b2 = -2
b2 = -1
thus end coordinate = (3, -1)
Answer:
4
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = - 1 ← from table
f(a) = f(3) = - 5 ← from table , then
average rate of change = 
= 
= 4
This is a division problem. First, get 12 1/3 into fraction form instead of mixed number form to make your life easier;
Now, divide the two fractions. Since this is fraction division, the reciprocal is flipped and the two fractions multiplied.
The answer from the fraction division is 16 and four-ninths, but because you need a whole number as an answer,
the answer is 16 pieces.
If x is 1, then 23x is 23, so we have 23-1=22 as the answer.
