Answer:
x = 55.6
Step-by-step explanation:
Recall the 3 main trig functions
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
Note that hypotenuse = longest side length
We want to find angle "x".
We are given its opposite side length ( 19 ) as well as the adjacent side length
When dealing with the opposite and adjacent we use tan
Tan = Opp / Adj
Opp = 19 and Adj = 13
Tan(x) = 19/13
* take the inverse tan of both sides *
x = 55.6
Put all the x together and the whole numbers on the other side !
Answer:
Susie reaches the store first being ahead by 0.06 hours.
Step-by-step explanation:
20 miles going 45 miles/hour.
20 miles / (45 miles / hour) = 20 miles hours / 45 miles =
= 20 hours / 45 = 4/9 hours = 0.44 hours
25 miles going 50 miles/hour.
25 miles / (50 miles / hour) = 25 miles hours / 50 miles =
= 25 hours / 50 = 1/2 hours = 0.5 hours
So Susie needs less time (= arrives first).
the difference is 0.5 - 0.44 = 0.50-0.44 = 0.06 hours
as additional practice :
0.06 hours is 60 × 0.06 minutes.
60 × 0.06 = 60 × 6 / 100 = 360 / 100 = 3.6 minutes.
If you still need the answer,
The answer is 2.
Since you are subtracting C(x) from R(x), your equation would look like this.
P(x)=-.5x^2+800x-100-(300x+250)
which if you then simplify would be
P(x)=-.5x^2+500x-350
Answer:
x = x; the solution has infinite solutions
Step-by-step explanation:
3(x+ 7) = 3x + 21; distribute the 3 on the left side
3x + 21 = 3x + 21; now subtract 21 from both sides
3x = 3x; divide by 3
x = x; the solution has infinite solutions. Since both terms are equal any value for x will be true on this equation.