Answer: it will take 12 years for both trees to be of the same height.
Step-by-step explanation:
Let x represent the number of years that it will take for the blue spruce and the hemlock to be the same height.
A blue spruce grows an average of 6 inches per year. If a blue spruce is 4 feet tall,
1 inch = 0.0833 feet
6 inches = 6 × 0.0833 = 0.4998 feet
it means that its height in x years would be
0.4998x + 4
A hemlock grows an average of 4 inches per year. If a hemlock is 6 feet tall.
4 inches = 4 × 0.0833 = 0.3332 feet
it means that its height in x years would be
0.3332x + 6
The number of years that it will take both trees to be of same height is
0.4998x + 4 = 0.3332x + 6
0.4998x - 0.3332x = 6 - 4
0.1666x = 2
x = 2/0.1666
x = 12
Answer:
(a) m FG = 64°
(b) m ∠FEG = 32°
Step-by-step explanation:
m∠FHG64° = m FG = 64°
m ∠FEG = 32° is half of m∠FHG64°
Answer:

Step-by-step explanation:
We would multiply the fraction by its conjugate
( A conjugate is a expression that has the same integer or number values but have different signs) for example

and

ARE Conjugates.
The conjugate of

is

So this means we will multiply the expression by 1 plus sqr root of 5 on the numerator and denominator.
Our new numerator will be

We can apply the difference of squares for the denominator.

So our denominator will be

So our rationalized fraction will be

Answer:
22 miles
Step-by-step explanation:
if i am reading this question correctly you are asking how much farther mike lives from sam.
30-8=22
this is pretty easy, just simple subtraction.