Answer:
520 ft
Step-by-step explanation:
A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.
base angle = 12 deg
hypotenuse = 2500
----
height = 2500*sin(12) = 519.78 ft
Do 520 ft if rounded
Step-by-step Explanation:
x=6,x=2
Answer:
122
Step-by-step explanation:
61 x 2 = 122 hope this helps:)
Charter Bus:
1.
350 ( distance) / 50 ( rate) = 7 (time in hours).
Conclusion - Will take the charter bus 7 hours to drive from Norfolk to New York.
2.
12 - 6 = 6 A.M ( counting for time left in this half of the day)
7 - 6 = 1 hour left ( which will be then 1 P.M )
Conclusion- Will arrive in New York City at 1 P.M.
Personal Vehicle:
3.
1 hour : 70 miles, 2 hours : 140 miles, 3 hours : 210 miles, 4 hours : 280 miles, 5 hours : 350 miles.
Conclusion: It will take 5 hours to get to New York City from Norfolk.
4.
12 A.M - 7:30 A.M = 4:30 A.M
5 - 4.5 = 0.5 hours left ( which will be then 12:30 P.M )
Conclusion- Will arrive in New York City at 12:30 P.M.
Meet Up:
5. By looking at the rates/ratios of both vehicles and finding out the time it would take with both vehciles also I figured out that Dakota's parents will arrive first.
I didn't include a graph, I thought that you could do that with the rates of both vehicles.
Answer:
x^2 -20x + 100
Step-by-step explanation:
How this works is that you multiply each number by every other number, so.
(x+a)(x+b) so you do x times x since the parenthesis multiplies them together. Then you do x times b.
Then you do a times x since a is the next number in the first pair. then you do a times b.
(* is the sign for multiplication for the sake of simplifying it and to be easier than doing something like x x x where you are multiplying x together with x.)
So in the expression (x + a)(x + b) you are basically doing
x * x + x * b + a * x + a * b
In your case, a is = to -10 and b is equal to -10
So your expression would be
x * x + x * -10 + -10 * x + -10 * -10
so x times x is x^2 and x times -10 is -10x You are doing -10 * x twice so it is -20x and -10 times -10 is 100
So the final equation would be x^2 plus -20x plus 100 or
x^2 + (-20x) + 100
which is
x^2 -20x + 100
Hope this helps!
