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:
3/8 cups
Step-by-step explanation:
You want half of the recipe, so you want half of
3
/4 of a cup.
Of means multiplication when it comes to fractions, so multiply
3/
4 by 1/
2 to get 3
/4
⋅
1/
2
=
3/
8
Midpoint means 1/2 way
separate the x's and the y's find the middle of the x length, middle of the y length
x: 5 - 3 = 2 1/2 of 2 = 1 from either end (3 + 1) or (5-1) = 4
y: 3-(-5) = 8 1/2 of 8 = 4 from either end (3-4) or (-5 +4) = -1
midpoint is therefore (4, -1)
We are given : Cost of a gallon of milk = $2.50.
Cost of a cup of yogurt = $1.20.
Total money Monica has = $20.
Number of cups of yogurt Monica can buy = x.
And inequality made is also correct
1.20x + 2.5 ≤ 20.
Now, we need to solve it for x.
Subtracting 2.5 from both sides, we get
1.20x + 2.5 -2.5 ≤ 20 - 2.5.
1.20x ≤ 17.5
Dividing both sides by 1.20, we get
1.20x/1.20 ≤ 17.5/1.20.
x ≤ 14.5833...
Because it's less than 15, so final answer is : 14 is greatest number of cups of yogurt Monica can buy.
Answer: f(x)= 2x+3
Step-by-step explanation: f(x)=(x-1)2+5
2x-2+5
F(x)=2x+3
