Each quart of oil is 4 dollars and the labor fee is 2 dollars.
I think you're saying that you want equivalent fractions for 4/5 and 5/6 ,
and the equivalent fractions should both have the same denominator. OK.
Have you learned "least common denominator" yet ?
Or maybe "least common multiple" ?
It's the smallest number that 5 and 6 both go into with no remainder.
I'm not going to try to explain the whole general method for finding it.
That confuse both of us, you and me.
In this case, I'll just tell you that the smallest common denominator here
is 30 . Now you have to find the two numerators, so that the new
fractions will really be equivalent to the old ones.
-- Write 4/5 as something with a denominator of 30 .
4/5 = ? / 30 .
What is the '5' multiplied by to get the '30' ?
It's multiplied by 6 to get 30 .
So multiply the 4 by the same 6. The equivalent fraction is 24/30 .
-- Write 5/6 as something with a denominator of 30 .
5/6 = ? / 30 .
What is the '6' multiplied by to get the '30' ?
It's multiplied by 5 to get 30 .
So multiply the 5 by the same 6. The equivalent fraction is 25/30 .
Answer: x = 41.4°
Step-by-step explanation:
We want to solve:
Cos(x) = 3/4
Such that this is on quadrant 1.
(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)
To solve this we need to remember the inverse functions.
If we have two functions f(x) and g(x), these functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then the inverse of the cosine function (this function is "arcos(x)") is such that:
Arcos( cos(x) ) = x
Then in our equation:
Cos(x) = 3/4
We can apply the inverse function to both sides to get:
Arcos(Cos(x)) = Arcos(3/4)
x = Arcos(3/4)
(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)
x = Arcos(3/4) = 41.4°
Hello!
First you have to find the scale
32 / 4 = 8
To get the actual building you multiply the scale building by 8 and change the units to feet
8 * 8 = 64ft
The answer is 64ft
Hope this helps!
Answer: -4 / 8 - 12 / 4 = -16 / 12
Step-by-step explanation:
-4g = (-12 / 4)
2f = (-4 / 8)
Just sum them...
