Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -1 = -6</span>
Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is <span> -5 </span>.
<span> -6 + 1 = -5 That's it</span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1
<span>6y2 - 6y</span> + 1y - 1
Step-4 : Add up the first 2 terms, pulling out like factors :
6y • (y-1)
Add up the last 2 terms, pulling out common factors :
1 • (y-1)
Step-5 : Add up the four terms of step 4 :
(6y+1) • (y-1)
Which is the desired factorization
Final result :<span> (y - 1) • (6y + 1)</span>
Answer:

Step-by-step explanation:
you add 1 to 2 to make 3-6w= -11 then subtract 3 from both sides 3-3 cancles out and -11 - 3= -14 so -6w= -14 then divide both sides by -6 to get 7/3
Answer:
2117.075
Step-by-step explanation:
explanation is on the fig above
I believe it should be the second one down. That one has the lowest residual after the longest period of time, which in this case is the number of days. I hope that helps!