Answer:
yes they are
Step-by-step explanation:
got it right on khan
Answer:
Step-by-step explanation:
There are a lot of conversion factors involved in this question.
First of all the radius of Mercury's orbit is 0.4 times that of the earth. The earth's distance from the sun is about 93 million miles. So Mercury's distance or radius is 93 * 0.4 = 37.2 million miles.
The circumference = 2 * pi * r
The circumference = 6.28 * 37200000 = 233616000 miles
This is accomplished in 88 days.
88 days [24 hours/day] * [3600 sec / hour] = 7603200 seconds
88 days = 7603200 second
Rate of travel = miles / second
Rate of travel = 233616000 / 7603200
Rate of travel = 30.726 miles / second
This number was not given so I had to derive it. The official number does not disagree a great deal from this number. It just depends on what constants you use.
1 mile = 1.6 km
30.725 miles = x Cross multiply
x = 1.6 * 30.725
x = 49.16 km/ second
I cannot go any further because you have not provided any givens. The answers do vary quite a bit because I have assumed that Mercury's orbit is a circle. It really is not. It is more like an ellipse.
The official speed in km/sec = 47 which means the answer I have given is very close. A more accurate answer would require that you put the numbers in the blanks that you were given.
The dimensions of the crate that will minimize the total cost of material are 10, 10, and 29.
<h3>How to compute the dimension?</h3>
The volume will be:
= Length × Width × Height
= lwh
For the square base, w = l
2880 = w²h
The cost function will be:
C = 12wl + 4wh + 4lh
Put l = w.
C = 12w² + 8wh
C = 12w² + 8w(2880/w²)
C = 12w² + 23040/w
Differentiate with respect to w
C'(w) = 0
24w = 23040/w²
24w³ = 23040
w³ = 960
w = 10 approximately
The length is 16 as well as they are the same. The height will be:
= 2880/w²
= 2880/10²
= 28.8 = 29
Therefore, the dimensions are 10, 10, and 29.
Learn more about cost on:
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Answer: 6
Step-by-step explanation: Divide the -4.8 / -0.8 to find the answer.
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