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Katyanochek1 [597]
2 years ago
11

A satellite in a 100-mile-high circular orbit around Earth has a velocity of approximately 17,500 miles per hour.If this velocit

y is multiplied by √2 the satellite will have the minimum velocity necessary to escape Earth's gravity and will follow a parabolic path with the center of Earth as the focus.
Required:
Find the distance between the surface of the Earth and the satellite when θ = 50°.

a. Distance between surface of Earth and satellite:4496 miles
b. Distance between surface of Earth and satellite:4322 miles
c. Distance between surface of Earth and satellite:1286 miles
d. Distance between surface of Earth and satellite:643 miles
e. Distance between surface of Earth and satellite:1492 miles
Mathematics
1 answer:
AveGali [126]2 years ago
3 0

Answer:

64.3 miles ( D)

Step-by-step explanation:

Circular orbit height ( from the center of the earth ) = 100 mile

angle between satellite and earth = 50°

escape velocity = √2 * 17500 =  24748.73 miles /hour

distance between surface of earth and satellite

x = cos ∅

∴ Cos ∅  = x / 100

x = cos 50° * 100   ≈ 64.3 miles

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The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi
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Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = z_c=1.96

Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)

Simply , we get

n=2184.91\approx2185  [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0
1 year ago
Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the numbe
Ede4ka [16]

Answer:

N + D = 175

.05N + .10D = $13.30

Step-by-step explanation:

You need a system of equations to get the correct answer that applies to both constraints.

6 0
1 year ago
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A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1,
mash [69]

Answer:

1/5

Step-by-step explanation:

i had a similar question

For each roll you start with paying 2 dollars and you only with 10 dollars one out of 6 rolls (on average). 

So the cost for one play is 2 dollars and your win is 10/6. 

Value is -2+10/6=-1/3 dollars

So you lose 1/3 dollars on average with each game

since you have no limited rolls u put 1/5

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6 0
2 years ago
Kayla is going to Japan for vacation. She will exchange $300 for Japanese yen. The exchange rate is $1=85.74 yen. How many yen w
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Answer:

25,722 yen

Step-by-step explanation:

300x85.74 is the simplest way to do this and I am just adding words to compete this

7 0
2 years ago
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Three years ago Tom was twice as old as Jean, and in two years the sum of their ages will be 28 years. Find their present ages.
lubasha [3.4K]

Answer:

Jean is 9 and Tom is 15.

Step-by-step explanation:

3 years ago, Tom was 12 and Jean was 6, hence Tom was twice as old as Jean.  

Since that was their age 3 years ago, they are currently 15 (Tom) and 9 (Jean).  

Add 2 years to each of these ages, you get 17 and 11.

17 + 11 = 28

3 0
1 year ago
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