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Margarita [4]
3 years ago
7

The International Space Station orbits at an altitude of about 250 miles about Earth’s surface. The radius of Earth is approxima

tely 3963 miles. How far can an astronaut in the space station see to the horizon? Round to the nearest mile.
Mathematics
1 answer:
Hatshy [7]3 years ago
8 0
In this case we are dealing with the pythagorean theorm involving right angled triangles. This theorm states that a^2 + b^2 = c^2 which means the square of the hypotenuse (side c, opposite the right angle) is equal to the square of the remaining two sides.

In this case we will say that a = 3963 miles which is the radius of the earth. c is equal to the radius of the earth plus the additional altitude of the space station which is 250 miles; therefore, c = 4213 miles. We must now solve for the value b which is equal to how far an astronaut can see to the horizon.

(3963)^2 + b^2 = (4213)^2
b^2 = 2,044,000
b = 1430 miles.

The astronaut can see 1430 miles to the horizon.
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coldgirl [10]
The area of a circle is equal to the radius squared times pie, basically:

{r}^{2} \times \pi

The radius is 3, so we multiply 3 times 3 times pie to get the area.

You're gonna want to plug in the following into a calculator:

3 \times 3 \times 3.14

After getting 28.26 from such calculator, you need to round to the tenths place. In this number, the tenths place is the 2 next to the decimal on the right. Because the number after the 2 is a 6, that means we need to simplify the answer to (28.3). When you are rounding a number, you look at the number to the right, if it is 5 or bigger, add one and remove the rest, if it is less than 5, just get rid of the rest and leave it as it is.
5 0
2 years ago
Solve seven 2/3-1 2/4+3 6/8 choose the numbers to complete complete the next number numbers may be used once or not at all
Bezzdna [24]

Answer:

9 11/12

Step-by-step explanation:

Solve 7 2/3-1 2/4+3 6/8

We are to the above fractions

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The Lowest Common Denominator = 24

(7 - 1 + 3) + ( 2/3 - 2/4 + 6/8)

9 + (16 - 12 + 18/24)

9 + 22/24

9 11/12

8 0
2 years ago
Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that there are equals 7 ​trials, eac
NeTakaya

Answer: 0.5

Step-by-step explanation:

Formula for binomial probability :-

P(x)=^nC_xp^x(1-p)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The number of trails : n=7

The probability of success​ for each trial : p=0.5

Now, the probability that the number x of correct answers is fewer than 4 will be :-

P(x

Hence, the probability that the number x of correct answers is fewer than 4 = 0.5

4 0
3 years ago
Read 2 more answers
A circle with an area 9pi has a sector with a central angle of 1/9pi what is the area of the sector
ludmilkaskok [199]

Answer:

½pi or 0.5pi units²

Step-by-step explanation:

Area : angle

9pi : 2pi

x : pi/9

9pi/2pi = x/(pi/9)

4.5 × pi/9 = x

x = ½pi or 0.5pi units²

8 0
3 years ago
User: Translate the following words to algebra symbols, using "n" as the variable. Seven is two less than twice a number.
muminat
7 = 2n - 2

n= a number so twice a number is 2n and 7 is 2 less than twice this number.
7 0
2 years ago
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