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lbvjy [14]
3 years ago
6

The cities of Singapore (in Asia) and Kigali (in Africa) both lie approximately on the equator. Singapore is at 104° longitude,

and Kigali is at 30° longitude. If the earth is a sphere of radius 4000 miles, use arc length to find the distance between the cities. [Use π = 3.14, and round to the nearest mile.] A) 4880 miles B) 5160 miles C) 5410 miles D) 5650 miles
Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

B) 5160 Miles

Step-by-step explanation: My explanation is that my answer is correct.

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
barxatty [35]

Step-by-step explanation:

I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.

y = -16x² + 64x + 89

shows us that the tower is 89 ft tall (the result for x = 0, at the start).

anyway, if the original assumption is correct, then we need to solve

0 = -16x² + 64x + 89

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/)2a)

in our case

a = -16

b = 64

c = 89

x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =

= (-64 ± sqrt(4096 + 5696))/-32 =

= (-64 ± sqrt(9792))/-32

x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s

x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s

the negative solution for time is but useful here (it would be the time calculated back to ground at the start).

so, x2 is our solution.

the rocket hits the ground after about 5.09 seconds.

5 0
2 years ago
What two numbers add to get 4 and multiply to get -4
SIZIF [17.4K]
-2 and -2 Two negatives added equal a positive.............. . . .. . . . . . . 
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3 years ago
A hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any other services. Write a function to
Taya2010 [7]
Simple,

you have a fixed rate of $25, meaning you get a haircut, it's $25

ANY other service is an extra $15

So, let's make the equation...

y=15x+25

Now, to just get a haircut it's $25.

But, let's say you get a haircut+shampoo

It'd be..

y=15(1)+25

y=$40

Another one..

You get a haircut+shampoo+highlight

y=15(3)+25

y=$70

And so on, and so forth.
3 0
3 years ago
Read 2 more answers
Two cylinders have the same size base, but one is twice as tall. Explain why the taller cylinder does not have double the surfac
Igoryamba

Answer:

The surface area of a cylinder is the sum of the areas of the two bases and the area of the lateral surface. If the height of the cylinder is doubled, the area of the lateral surface is doubled, but the areas of the bases remain the same.

Step-by-step explanation:

8 0
4 years ago
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The probability a person is infected by a certain cold virus is 0.2. If a random sample of 12 people is taken, what is the proba
inna [77]

Answer:

If 0.2 = 20%, The probability that 1 person will be infected is 100%, according to theory.

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