Answer: <u><em>The building is 35 meters tall.</em></u>
Step-by-step explanation:
<em>420 </em><u><em>divided by </em></u><em>24 is 17.5 </em>
<em>17.5 </em><u><em>x </em></u><em>2 is 35 </em>
<em>(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)</em>
<em />
Answer:
912.414
Step-by-step explanation:
The angle
θ
between the directions of motion of planes
θ
=
320
−
200
=
120
∘
The distance
a
traveled by first plane flying at a speed of
150
km/hr
in
3
hrs
a
=
150
⋅
3
=
450
k
m
Similarly, the distance
b
traveled by second plane flying at a speed of
200
km/hr
in
3
hrs
b=
200x3=
600 km
Now, the distance between the planes after 3
hrs will be equal to the side of a triangle opposite to the angle θ=120∘
included by the sides
a
=
450
& b=
600
.
Now, using Cosine rule in the concerned triangle, the distance between the plane after
3
hours is given as
A graph shows the solutions to be
(x, y) = (-6, 312) or (6, 312)To solve algebraically, remove a factor of 2 from the second equation and use that expression to substitute for y in the first equation.
10x^2 -(8x^2 +24) = 48
2x^2 = 72
x = ±√(72/2) = ±6
y = 8*36 +24 = 312
Answer:
9 years
Step-by-step explanation:
You want to find t such that y=10.
10 = 7.67(1.03)^t
10/7.67 = 1.03^t . . . . . divide by 7.67
log(10/7.67) = t·log(1.03) . . . . . . take logs
log(10/7.67)/log(1.03) = t ≈ 8.9743 . . . . . years
After about 9 years, the employee will be earning $10 per hour.
