Answer:
12ft
Step-by-step explanation:
Behold, my crudely drawn diagram!!!
Edit: The red side is the hypotenuse/escalator length, the green side is adjacent to the angle/the escalator height, and the blue bits refer to the angle. Also it's supposed to be a right triangle but I forgot the little box we typically put in the corner to indicate the 90° angle.
Using some geometric knowledge of right triangles, we know that the Cosine of an angle is equal to the length of the adjacent side divided by the lenght of the hypotenuse. So:
Cos(39.81°) = h ÷ 15.5ft
*Here I've called the top of the escalator's height "h"*
By solving for h and plugging it into a calculator I get:
h = Cos(39.81°)•(15.5) = 11.906...
But they want it rounded to the nearest foot, so your answer is 12ft.
Here are the steps to answer this question:
1. Find the denominator. Since there is 8 possible outcomes, our denominator will be 8.
2. Find the numerator. To do this we need to find out of all the 8 possible outcomes, how many are them are y. Since its only 1 y, the numerator will be 1.
3. Now all we have to do now is make our fraction. The 8 possible outcomes given, only one of them has y which means that our fraction will be 1/8.
4. Answer: 1/8 or .125 or 12.5% chance for the spinner to land on y. I hope this helps!
Answer:
The speed of marathon is 20.038 mile per hours
Step-by-step explanation:
Given as :
The distance of marathon = 26.2 miles
The time recorded for marathon = 1 hour 18 minutes and 27 seconds
So, The total time =
Or , Total time = 1.3075 hours
Let The speed in marathon = x mph
So, Distance = Speed × Time
Or, 26.2 miles = x × 1.3075
Or, x = mile per hour
Or , x = 20.038 mph
Hence The speed of marathon is 20.038 mile per hours Answer
5x + 25y = 60....multiply by -3
3x + 15y = 42....multiply by 5
-------------------
-15x - 75y = - 180 (result of multiplying by -3)
15x + 75y = 210 (result of multiplying by 5)
-------------------add
0 = 30...incorrect.....this system has no solutions
5x+2=2x+7
minus 2x from both sides
3x+2=7
minus 2 from both sides
3x=5
divide both sides by 3
x=5/3