Answer:
m = -1
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
-13 = 5(1 + 4m) - 2m
Step 2: Parenthesis (distribute)
-13 = 5 + 20m - 2m
Step 3: Combine like terms (m)
-13 = 5 + 18m
Step 4: Subtract 5 on both sides
-18 = 18m
Step 5: Divide both sides by 18
-1 = m
Step 6: Rewrite
m = -1
7,298,341 rounds to 7,300,000 for nearest 10,000
Answer:
a = v / x ^ 2 - b / x - c / x ^ 2 :))))))
Answer: The rate = 8.5 ft/h
Step-by-step explanation:
Since we are going to need to differentiate to find the rate of change of θ we need to express it in radians rather than degrees.
Therefore, 15 degree per hour will be expressed as
15° × π/180 = 0.2618rad/hour
Using trigonometry function to find Ø
Tan Ø = 40/30 = 1.333
Ø = 53 degree
Convert it to radian
Ø = 0.93 rad
The changing at a rate of 15o per hour will be
Rate = radian/ time
0.2618 = (0.93 -0)/t
t = 0.93/0.2618
t = 3.5 hours
The rate of change in the length of the shadow at that same time will be:
Rate = 30/3.5 = 8.5 ft/ hour
Answer:
<1 = 51 degrees
<2 = 61 degrees
<3 = 29 degrees
Step-by-step explanation:
Interior angles of a triangle: 180 degrees
180-68-61 = 51 degrees
<2 = 61 degrees (vertical angles)
<3 = 180-90-61 = 29 degrees
