First, we find x using the given equation:
x = 4 / sin(53)
x = 5
We also know that:
Cos(∅) = base / hypotenuse
Therefore,
cos(53°) = y / 5
Answer:
Yes
Step-by-step explanation:
3 medium cars to 1 small car can be made into a fraction like this: 
or 
. But you must be consistent if the denominator represents medium cars or small cars.
For this, I'm just going to make medium cars the numerator.
18 medium cars to 6 cars can be made into a fraction like this : 
.
When you divide both fractions in a calculator (or in your head), you will realize that they both are the same value (equivalent).
These ratios are equivalent.
Answer:
w=8
Step-by-step explanation:
4w-8=24
4w+8-8=24+8
4w=32
4w/4=32/4
w=8
You can solve this by substitution.
x+y=10
x-y=4
===== add the equations
2x=14
x=7
Then plug in x into one of the equations
7+y=10
y=3
so x^2=7*7=49
y^2=3*3=9
Hope that helps!
Answer:
y = 15(x -10)^2 -1560
Step-by-step explanation:
It usually works well to divide the leading coefficient from the x terms:
y = 15(x^2 -20x) -60
Now, add the square of half the x-coefficient inside parentheses. Subtract the same amount outside.
y = 15(x^2 -20x +100) -60 -(15)(100)
y = 15(x -10)^2 -1560 . . . . . collect terms; write the parentheses as a square
