Answer:
504 miles
Step-by-step explanation:
Make a proportion
= 
7/12 is 0.5833, so multiply 864 by that to find the number of miles
864(0.5833) = 504
Answer:
V = 20.2969 mm^3 @ t = 10
r = 1.692 mm @ t = 10
Step-by-step explanation:
The solution to the first order ordinary differential equation:

Using Euler's method

Where initial droplet volume is:

Hence, the iterative solution will be as next:
- i = 1, ti = 0, Vi = 65.45

- i = 2, ti = 0.5, Vi = 63.88

- i = 3, ti = 1, Vi = 62.33

We compute the next iterations in MATLAB (see attachment)
Volume @ t = 10 is = 20.2969
The droplet radius at t=10 mins

The average change of droplet radius with time is:
Δr/Δt = 
The value of the evaporation rate is close the value of k = 0.08 mm/min
Hence, the results are accurate and consistent!
Answer:
See explanation
Step-by-step explanation:
An equation that represents the path of a diver jumping off a diving board is

The diver jumped to the water when x = 0.
Then

The jumper reached the water when y = 0, then

So, point where the jumper reached the water is

If in the triangle ABC , BF is an angle bisector and ∠ABF=41° then angle m∠BCE=8°.
Given that m∠ABF=41° and BF is an angle bisector.
We are required to find the angle m∠BCE if BF is an angle bisector.
Angle bisector basically divides an angle into two parts.
If BF is an angle bisector then ∠ABF=∠FBC by assuming that the angle is divided into two parts.
In this way ∠ABC=2*∠ABF
∠ABC=2*41
=82°
In ΔECB we got that ∠CEB=90° and ∠ABC=82° and we have to find ∠BCE.
∠BCE+∠CEB+EBC=180 (Sum of all the angles in a triangle is 180°)
∠BCE+90+82=180
∠BCE=180-172
∠BCE=8°
Hence if BF is an angle bisector then angle m∠BCE=8°.
Learn more about angles at brainly.com/question/25716982
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Answer: -1/6
Step-by-step explanation:I’ve taken the test