Answer:
7.2 years
Step-by-step explanation:
where f(t) is the length and t is the number of years old
given the Mike measures 148 cm, we need to find out the age
So we plug in 148 for f(t) and solve for t
divide both sides by 200
Now subtract 1 from both sides
Divide both sides by -0.956
Now take ln on both sides
divide both sides by -0.18
t=7.2
So 7.2 years
If point A is between B and C, then CA+AB = CB by the segment addition postulate. This is the idea of taking two smaller segments to "glue" them together to form a larger segment. Or you can think in reverse: take some larger segment and split it somewhere in between the endpoints (not necessarily the halfway point), this will produce two smaller segments.
For example: you have a ruler that is 12 inches. Take a saw and cut the ruler at the "2 inch" marker. You'll end up with two smaller pieces of plastic: one of which is 2 inches, the other 10 inches. The two smaller pieces can be taped together to reform the original 12 inch ruler.
from the question, (-2,2) and (1,2) have the same y value so you can use that as your base and easily find the perpendicular height using the y axis since it's parallel to the x axis.
the third point, (0,-6), to the base is your height
use the sum of the positive of the y values to find your height (because height can't be negative): 6+2 = 8
area of a triangle = 1/2 bh = 1/2 x 3 x 8 = 12
Note: 1/2 bh only works because (-2,2) and (1,2) form a line parallel to the x axis
Answer:
<u>x = 466.7 feet</u>
Step-by-step explanation:
Finding the top angle of the triangle :
- They are complementary
- 90° - 31°
- 59°
Take the tan value of this angle to find y :
- tan 59° = 400/y
- 1.66427948 =400/y
- y = 400 / 1.66427948
- y = 240.344248
Using Pythagorean Theorem to find x :
- y² + 400² = x²
- x = √(240.344248)² + 160000
- x = √57765.3575 + 160000
- x = √217765.357
- <u>x = 466.7 feet</u> (nearest tenth)
