Answer:
540.6 mi
Step-by-step explanation:
The angle of depression = angle of elevation = 6°
Let x = the distance to the runway.
tan 6 = 30000/x
xtan 6 = 30000
x = 30000/tan 6 =285430.9 ft
285430.9336.../5280 = 540.6 mi
9514 1404 393
Answer:
- y-intercept: (0, -6)
- x-intercepts: (-3, 0), (-1, 0), (1, 0)
Step-by-step explanation:
We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.
f(x) = (2x^3 +6x^2) -(2x +6)
f(x) = 2x^2(x +3) -2(x +3)
f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)
The factors are made to be zero when x is 1, -1, or -3.
The x-intercepts are (1, 0), (-1, 0), (-3, 0).
The y-intercept is the constant, -6.
<span><u><em>The correct answer is: </em></u>
129,407.
<u><em>Explanation</em></u><span><u><em>: </em></u>
12 ten-thousands = 12*10000=120,000.
8 thousands = 8*1000=8000;
<u>this gives us</u> 120,000+8,000=128,000.
14 hundreds = 14*100=1400;
<u>this gives us</u> 128,000+1,400=129,400.
7 ones = 7*1=7;
<u>this gives us</u> 129,400+7=129,407.</span></span>
8) So remember the sum of all angles inside a triangle is equal to 180°. We first want to figure out the angle below the 110°.
A straight line is 180° so if we do 180 - 110 we get 70° therefore the angle below the 110° is 70°.
So we now know two angles in the triangle, 70° and 80°. Add these and we get 150°. Now we can determine the final angle (the one labelled (2x - 6)) which will be 30°.
So let’s make it into an equation:
2x - 6 = 30
Add 6 to both sides to isolate 2x:
2x = 36
Divide by 2 to get the value of x:
x = 18
10) Since the sum of all angles in a triangle is 180, and there are only 3 angles, we can determine A easily.
B = 10°
C = 160°
So to determine A:
180 - 160 - 10
Which gives us 10
Therefore A = 10°.
So the answers:
8) x = 18
9) A = 10°
I hope this helps you!!
