<h3>
Answer: 36.9 degrees</h3>
=======================================
Work Shown:
I'm assuming your teacher meant to say the ramp is 7 meters long and the ramp rises up 4.2 meters. It doesn't make sense the way they phrased it initially since the ramp must be the longest part (it is the hypotenuse of the right triangle).
See diagram below.
The angle of elevation is the angle made between the ramp and the ground. It's the angle amount the ramp tilts upward.
sin(angle) = opposite/hypotenuse
sin(theta) = 4.2/7
sin(theta) = 0.6
theta = arcsin(0.6)
theta = 36.869897645844
theta = 36.9
Note: inverse sine or 
is the same as arcsine. Make sure your calculator is in degree mode.
It is not a function because for x= 0, there are 3 values of y
Answer:
4 hours
Step-by-step explanation:
If Josh goes 7mph and does 28 miles that means we have to divide the total miles he goes, by how much he goes in an how that way we can figure out how long it will take him.
28÷7=4
It will take Josh 4 hours
Answer:
Step-by-step explanation:
so he bought 8 bags of peppers with 60 peppers in each bag...
8 * 60 = 480 peppers
he paid 0.25 for each pepper....so he paid 0.25 * 480 = $ 120
so his expenses = $ 120
so out of his 480 peppers, 12 1/2% (or 12.5%) could not be sold.
12.5% of 480 = 0.125(480) = 60...so 60 could not be sold, leaving him with (480 - 60) = 420 peppers
profit = revenue - expenses
let x = cost of the peppers
420x - 120 = 90
420x = 90 + 120
420x = 210
x = 210/420
x = 0.50 <==== he would have to sell the remaining peppers at $ 0.50 each
Answer:
- <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
- <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e 
--------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
i.e 
-------------2
Putting value of x from equation 1 in equation 2,
Putting the value of y in equation 1,
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.
