The height of the mountain is 0. 2 km
<h3>How to determine the height</h3>
First, let's find the hypotenuse of the second triangle
Using the tangent identity, we have;
tan θ = opposite/ adjacent
tan 3. 5 = x/ 19
cross multiply
x = tan 3 . 5 × 19
x = 0. 061 × 19
x = 1. 16 km
Now, we have the hypotenuse side of the second triangle and we need to find the opposite side which is the height of the mountain
Using the sine identity:
sin 9 = y/ 1.16
cross multiply
y = sin 9 × 1. 16
y = 0. 1564 × 1. 16
y = 0. 18 km
y = 0. 2 km in one decimal place
Thus, the height of the mountain is 0. 2 km
Learn more about angle of elevation here:
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alright so first ur trying to find adjacent so use cos which is adjacent/hypotenuse you know the angle of c is 90 because it is a right angle
so it gonna be
cos(90)= AC/5
5*cos(90)= AC
5*0=AC
side AC = 0
Answer:
(4, -2)
Step-by-step explanation:
You first go to the x axis (The one going left and round). From this, you can see the point is on 4 for the x axis. After that, you look at the y axis (The one going up and down). From this, you can see it is -2. In all, you put it in coordinate form which gives you (4, -2). I hope this helps you!
<em><u>Lee sold 40 magazines</u></em>
Step-by-step explanation:
Equation Model:
Let m be the number of magazines Lee sold.
150%-130%=20%, so if 0.2m=8 then m=40
Let me show another way: In the image above 20% is equal to 8 so if we use 8 and 20% and try to reach our way up to 100% (How much Lee sold in total) then we will get our answer.
20%=8
40%=16
60%=24
80%=32
100%=40
Therefore Lee sold 40 magazines.
Hope that makes sense! If you have any more questions or need further clarification then please comment down below or message me! Good luck!
Ans: The average rate of change of function =

(in fraction)
Explanation:The average rate of change of function =

Where
b = 8 (x's upper bound)
a = 0 (x's lower bound)

Hence the average rate of change of function =

(in fraction)