I will use 'hr' to mean hour and 'hrs' to mean hours.
<u>The airplane flies:</u>
200 miles per hr
400 miles per hr
600 miles per hr
Average speed = Total distance ÷ total time
= (200 + 400 + 600)miles ÷ 3hrs = 400miles/hr
Time = Distance ÷ Average speed
= 2000miles ÷ 400miles/hr = 5hrs
Answer:
The measure of arc BD is 147°
Step-by-step explanation:
we know that
If segment AB is perpendicular to segment CD
then
The measure of the inner angle CPA is a right angle (90 degrees)
Remember that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
m∠CPA=(1/2)[arc AC+arc BD]
substitute the given values
90°=(1/2)[33°+arc BD]
180°=33°+arc BD
arc BD=180°-33°=147°
Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6
Answer:
Step-by-step explanation: Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
