All categories

4 years ago

Assume the earth is a sphere

Mathematics

1 answer:

mina [271]4 years ago

6 0

The length of the arc between L A and Miami = 2700 miles

length of arc = r*c where c is in radians

2700 = 3960 * c

c = 2700/3960 = 0.68182 radians+

The tangents from the satellite to the 2 points on the earth make a 90 degree angle with the radii of the earth, so we have 2 right angled triangles with one angle = 1/2 * 0.68182 = 0.34091 radians and the hypotenuse is the distance from center of the earth to the satellite.

if x is the distance of the satellite from the surface of the earth we have the equation

cos 0.34091 = 3960 /( x + 3960)

cos 0.34091(x + 3960) = 3960

x = (3960 - cos0.3409* 3960) / cos0.34091

= 241.8 miles Answer

You might be interested in

the difference between two numbers is 31. Four times the smaller is equal to 8 more than the larger. What are the numbers?

stepladder [879]

I would more detail so I can better answer your question for you

5 0

3 years ago

I think this is easy for yall but nor for me lol need help

Marrrta [24]

Answer:

x = 14

Step-by-step explanation:

So because the sides are equal, that means that the angles are equal.

5x = 3x + 28

Step 1.) Subtract 3x from 5x which leaves you with 2x.

2x = 28

Step 2.) Divide 28 by 2, to get the variable on its own. This leaves you with 14

x = 14

3 0

3 years ago

At a gymnastics competition, Joey scored 9.4, 9.7, 9.9, and 9.8. Carlos scored 9.5, 9.2, 9.7, and 9.6. Who had the greater avera

8090 [49]

You got add all the numbers up and divide it by how many numbers there are to get the average.
9.4 +9.7 + 9.9 + 9.8 = 38.8 divided by 4 =9.7 is Joey's average.
9.5 +9.2 +9.7 +9.6 =38 divided by 4 = 9.5 is Carlos' average.
Joey has more average by 0.2.

5 0

3 years ago

Read 2 more answers

The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?

Veseljchak [2.6K]

Answer:

34.98yd^3

Step-by-step explanation:

Volume of a sphere V=4/3πr3

Where V = 2240yd^3

π = 3.14

2240 = 4/3×3.14×r^3

2240 = 4.1866r^3

r^3 = 2240/4.1866

r^3 = 534.784

r = ( 534.784 )^1/3

r = 8.1169

Since each dimension is to be multiplied by 1/4

Hence, 1/4×8.1169

r = 2.029.

New volume will be

V = 4/3×3.14×2.029^3

V = 4/3×3.14×8.3558

V = 34.98yd^3.

8 0

3 years ago

Which of the following statements is not true? A. If the probability of an event occurring is 0, then it is impossible for tha

FromTheMoon [43]

Answer:

C. If the probability of an event occurring is 1.5, then it is certain that the event will occur.

Step-by-step explanation:

Probability is a value between <em>0 and 1</em> (including both values). Thus, to say that there is a probability of 1.5 is not correct, and, therefore, this statement is not true.

We can rewrite the statement as "If the probability of an event occurring is 1, then it is completely certain that the event will occur."

Statement A.

Suppose the event is A. Then, if P(A) = 0, it is completely certain that the event will not occur. It is true.

Statement B.

$\\ if P(A) = 0\;then\;P(\overline{A}) = 1 - 0 = 1$ . Then, the statement is true.

Statement C.

We already explained the <em>statement C is not true</em> because the values for probabilities are between 0 and 1 (including both values). A probability of 1.5 is meaningless as a result.

Statement D.

For the same reason explained in C, the probability can never be a negative value. So, this statement is also true.

4 0

3 years ago