A satellite orbiting the earth uses radar to communicate with two control stations on the earth's surface. The satellite's orbit maintains a 10-degree angle of separation between the two stations, as shown in the picture below. Knowing that the earth's radius is 3,963 miles, answer the following questions. Round all answers to the nearest whole number.

Answers

Answer 1

TheThe number of miles that a signal sent from Station 1 to the satellite and then to Station 2 will have to travel is; 48,135 miles.

Number of miles

Distance from Station 1 to satellite:

tan8.7 = length of longest leg / length of longest leg

tan8.7 =  3963/length of shortest leg

Length of longest leg=3963/tan8.7°

Length of longest leg=3963/0.15302150298

Length of longest leg =25,898 miles

Distance from Station 2 to satellite:

sin 8.7 = length of longest leg / length of hypotenuse

sin  8.7 =  3963/length of hypotenuse

Length of hypotenuse =3963/ sin 8.7

Length of hypotenuse =3963/0.1526082024

Length of hypotenuse=26, 200 miles

Hence,

26, 200 miles  - 3,963 =22,237 miles

Total distance:

Total distance = 25,898 miles  + 22,237 miles

Total distance = 48,135 miles

Therefore the distance is 48,135 miles.

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The complete question is:

A satellite orbiting the earth uses radar to communicate with two control stations on the earth's surface. The satellite's orbit maintains a 10-degree angle of separation between the two stations, as shown in the picture below. Knowing that the earth's radius is 3,963 miles.

How many miles will a signal sent from Station 1 to the satellite and then to Station 2 have to travel?

A Satellite Orbiting The Earth Uses Radar To Communicate With Two Control Stations On The Earth's Surface.

Related Questions

The probability of choosing a rotten apple from the bag of apples is 4/5

Answers

When the probability of choosing a rotten apple from the bag of apples is 4/5, the term that describes the probability is C. likely.

How to calculate the probability?

It should be noted that probability simply means the occurence of a particular event. It should be noted that we know that the probability is between 0 to 1.

In this case, the probability of choosing a rotten apple from the bag of apples is 4/5. It should be noted that the probability is likely since it's close to 1.

Therefore, the correct option is C.

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The probability of choosing a rotten apple from the bag of apples is 4/5. Which term best describes this probability

impossible

unlikely

likely

certain

distributive property 4x9.4

Answers

Answer:

37.6

Step-by-step explanation:

4*9.4 = 37.6

Hi I need help ASAP please and thank you

Answers

Answer: what’s the question? :D

Step-by-step explanation:

How can we help when there is no question

If the area of a rectangular sign is 3752 sq ft, and the width is approximately 56 ft, what is the height of the sign?

Answers

Answer: l=67ft

Using the formula

A=wl

Step-by-step explanation:

Solving

l=A

w=3752

56=67ft

Drawn to scale
find the area of the figure

Answers

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=8\\ b=12\\ h=7 \end{cases}\implies A=\cfrac{7(8+12)}{2}\implies A=70[/tex]

Mason and his children went into a movie theater and he bought $36.50
worth of candies and pretzels. Each candy costs $4.25 and each pretzel costs
$3.50. He bought 6 more pretzels than candies. Write a system of equations
that could be used to determine the number of candies and the number of
pretzels that Mason bought. Define the variables that you use to write the
system.

Answers

Answer:

Let C=the number of candies (because the first variable starts with c)

Let p= the number of pretzels (because the second variable starts with p)

SYSTEM OF EQUATIONS:

4.25c+3.50p=36.50 (first variable number + 2nd variable number equals total amount

p=c+6 (we know we have 6 more pretzels than candies to we have to add candies(c)+6 how many more pretzels than candy we have to find pretzels total number.

AOC and BOD are diameters of a circle, centre O
Prove that triangle ABD and triangle DCA are congruent by RHS.
B

Answers

Triangle ABD is congruent to triangle DCA.

What is congruency of triangles?

Two figures or objects are congruent in geometry if they have the same shape and size, or if one has the same shape and size as its mirror counterpart. Two triangles are congruent if their respective sides are the same length and their corresponding angles are the same size.

Given, AOC and BOD are the diameters of a circle

Then, In triangles ABD and DCA,

∠BAD = ∠ADC = 90°

BD = CA (diameter)

AD = DA (common)

Thus, by RHS rule the triangles are congruent

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will the bakery have enough time to bake 5 batches of bagels

Answers

can't understand Ur question nicely

Remove parentheses by using distributive property -2(3x - 4)

Answers

-6x +8 dhsjsjhehejsjabshsush

Answer:

-6x+8

Step-by-step explanation:

-2(3x-4)

-2(3x)-2(-4)

-6x+8

A particular jury consists of 7 jurors. Each juror has a 0. 2 chance of making the wrong decision, independently of the others. If the jury reaches a decision by majority rule, what is the probability that it will reach a wrong decision?.

Answers

The probability that the jury will make a wrong decision is 0.033

The number of jury that makes the wrong decision can be modeled as a binomial random with parameters n=7 and p=0.2. This jury as a whole will make wrong decision if 4, 5, 6, or 7 make the wrong decision.

Now, denote the events with A, B, C, D for 4, 5, 6, 7 respectively. The probability of this union is the sum of probabilities, so that:

P(Jury Error) = P(A)+P(B)+P(C)+P(D)

[tex]\left \ ({{7} \atop {4}} \right.)(0.2)^{4} *(0.8)^{3}+\left \(( {{7} \atop {5}} \right. )(0.2)^{5} *(0.8)^{2} +\left \ ({{7} \atop {6}} \right.)(0.2)^{6} *(0.8)^{1} +\left \(( {{7} \atop {7}} \right.)(0.2)^{7} *(0.8)^{0}[/tex]

[tex]=0.033[/tex]

[tex]P(Jury Error)=0.033[/tex]

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1. A man is able to walk 216 feet in 3 minutes. How far can he walk in 1
minute?

Answers

Answer: 216/3

Step-by-step explanation:

1 minute / 3 minutes = 1/3

216 feet * 1/3 = 216/3 feet per minute

Answer:

72 feet

Step-by-step explanation:

This question tests on the concept of conversion.

Given from the question, given the man can walk 216 feet in 3 minutes,

3 minutes = 216 feet

(3÷3) minute = (216 ÷ 3) feet

1 minute = 72 feet

SUPER URGENT WILL GIVE BRANLIEST AND ALL THE POINTS I HAVE
line a is parallel to line b. if the measure of∠7 is 144° what is the measure of∠4

Answers

Answer:

140

Step-by-step explanation:

For what value of x is sin ( x ) = cos 62, where 0 < x < 90?

Answers

Answer:

x = 28°

Step-by-step explanation:

using the cofunction identity

cos x = sin(90 - x) , then

cos62° = sin(90 - 62)° = sin28°

Copy down the calculation below and insert one pair of brackets so that the
answer is correct.
12 + 24 divided by 2²+ 8 = 14

Answers

Answer:

12+24÷(2^2+8)

Step-by-step explanation:

that should be the answer

if you struggle with questions that are like this use trial and error

Tessa has a coin jar full of dimes and pennies. When she took the coin jar to the bank, she was told that it contained exactly $27.34. Give three different combinations of the number of dimes and pennies that could have been in the coin jar.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given equation.

5x+2y=10
and passes through (-6, 7)

Answers

Line equation is 5x+2y=10. The point (-6,7). An equation line through the given point and parallel to the given equation is 5x+2y+16=0.

Given that,

Line equation is 5x+2y=10

The point (-6,7)

We have to find an equation line through the given point and parallel to the given equation, in slope-intercept form.

Take equation 5x+2y=10

2y=10-5x

y=(10-5x)/2

y=5-5/2x

The slope of the equation is -5/2

Now, the slope equation formula is

(y-y₁)=m(x-x₁)

Here,

m is -5/2

x₁=-6

y₁=7

We substitute in the formula

(y-7)=-5/2(x-(-6))

(y-7)=-5/2(x+6)

2(y-7)=-5(x+6)

2y-14=-5x-30

5x+2y=-30+14

5x+2y=-16

5x+2y+16=0

Therefore,  an equation line through the given point and parallel to the given equation is 5x+2y+16=0.

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Given that 2 = 6.
Which theorem proves that line d is parallel to line e.

Converse of the alternate exterior angle
theorem

Converse of the alternate interior angle
theorem

Alternate Exterior angle theorem

Alternate interior angle theorem

Answers

The theorem that proves that lines d and e are parallel is the: A. converse of the alternate exterior angles theorem.

What is the Converse of the Alternate Exterior Angles Theorem?

The alternate exterior angles that are formed on each lines that are cross by the transversal are said to be congruent or equal to each other if both lines they lie on are parallel, based on the alternate exterior angles theorem.

Also, we can prove that if the alternate exterior angles are congruent, then the lines they lie on are parallel lines, using the converse of the alternate exterior angles theorem.

Thus, we are given that angle 2 = angle 6. Angles 2 and 6 lie on lines d and e. Since they are equal to each other, they are congruent angles. Therefore, lines d and e are parallel lines based on the converse of the alternate exterior angles theorem.

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HELP ME ASAP TO BE DONE BY TONIGHT

Answers

Answer:

neither

Step-by-step explanation:

The lines are neither. They are perpendicular because when I graphed them, line 2 intersected line 1 at 5, -2.

Hope this helps! :)

-c+8x evaluated please help m with this math problem

Answers

Answer:0.5

Step-by-step explanation:

Kelly used a calculator to multiply large numbers. How can she write the number on her calculator screen in standard form? 3.15 E15

Answers

Kelly multiplied big number with a calculator. 3.15e-15 number on calculator means or 3.15e-15 in standard form is: 0.00000000000000315.

Given that,

Kelly multiplied big number with a calculator.

We have to find the standard form of 3.15e-15.

3.15e-15 is written in scientific notation, often called standard form. used to express big or tiny numbers differently.

3.15 = coefficient

e = 10 to the power of

-15 = exponent

We get, The standard form as

= 3.15e-15

= 3.15 × [tex]10^{-15}[/tex]

= 0.00000000000000315

Therefore, 3.15e-15 number on calculator means or 3.15e-15 in standard form is: 0.00000000000000315

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Answer:3,500,000,000,000,000

Step-by-step explanation:

3.5x10^15=3,500,000,000,000,000

A cookbook originally cost $13.00. Yesterday, Marta bought it at 40% off.
How much was deducted from the original price?

Answers

Answer:£7.80p

Step-by-step explanation:

To find 10% you would divide 13.00 by 10 which would give you 1.30.You then times that by 4 and the answer (£7.80)would be 40% off

Hope that Helps!!

The area of a parallelogram is 88.58 sq cm. The length of the base is 8.6 cm. What is the height?​

Answers

Answer:

10.3 is the length

Step-by-step explanation:

If the area of a parallelogram is B * H then finding one side is dividing area by base or by height

88.58 / 8.6

Answer:

Step-by-step explanation:

88.58 divided by 8.6 is 10.3. That is your answer. 10.3.

Need asap please will give 20 points if its correct
.
Which is the opposite of squaring a number?
Squaring the number.
Finding the cube root.
Finding the square root.
Cubing a number.

Answers

the correct answer is C finding the square root of

Answer:

finding the square root

Step-by-step explanation:

given 5² = 25

then the opposite is finding the square root , that is

5 = [tex]\sqrt{25}[/tex]

Hakeem is starting a running plan to train
for a race. In the first week of his running
plan, Hakeem will run 11 miles. The plan
calls for Hakeem to increase his weekly
milage by 2 miles every week. If Hakeem
sticks to the plan, how many miles would
he be expected to run during his 8th week
of the training plan?

Answers

Answer:

25 miles

Step-by-step explanation:

Hakeem is starting a running plan to train for a race. In the first week of his running plan, Hakeem will run 11 miles. The plan calls for Hakeem to increase his weekly milage by 2 miles every week. If Hakeem sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?

This can be described as:

11 + 2w

when w = week

because he runs 11 miles the first week, he only has 7 weeks of 2 mile increases:

11 + 2(7) = 25 miles

PLEASEE HELP WHAT IS THE ANSWERR?!?!

Answers

Answer:

42 degree

Step-by-step explanation:

180-132=48

48+90=138

180-138=42

Answer:

Angle e is 42°.

Hope this helps!

Step-by-step explanation:

Total degrees of a triangle is 180°.

The square in the bottom means 90°, the angle with 132° is 48° because it's 180-132. 90 + 48 is 138, 180 - 138 is 42. Angle e is 42°.

find the slope of the line that passes through ( 7,1 ) and (10,3)

simplify your answer and write it as a proper fraction. improper fraction, or integer.

Answers

Answer:

2/3

Step-by-step explanation:

The formula for the slope is:

[tex]\frac{y2-y1}{x2-x1}[/tex]

Plug in (7,1) and (10, 3):

[tex]\frac{3-1}{10-7} = 2/3[/tex]

Apply all relevant properties of

Answers

Recall that, when two terms are being multiplied and they have the same number we can add the exponents:

[tex]x^nx^m=x^{n+m}.[/tex]

Applying the above property to the given expressions, we get:

[tex]\begin{gathered} 6^{\frac{9}{5}}6^{\frac{1}{5}}=6^{\frac{9}{5}+\frac{1}{5}}, \\ x^{\frac{10}{3}}x^{\frac{11}{3}}=x^{\frac{10}{3}+\frac{11}{3}}, \\ y^{\frac{7}{2}}y^{\frac{1}{2}}=y^{\frac{7}{2}+\frac{1}{2}}. \end{gathered}[/tex]

Simplifying the above results, we get:

[tex]\begin{gathered} 6^{\frac{9}{5}}6^{\frac{1}{5}}=6^2, \\ x^{\frac{10}{3}}x^{\frac{11}{3}}=x^7, \\ y^{\frac{7}{2}}y^{\frac{1}{2}}=y^4. \end{gathered}[/tex]

Answer:

[tex]\begin{gathered} 6^{\frac{9}{5}}6^{\frac{1}{5}}=6^2, \\ x^{\frac{10}{3}}x^{\frac{11}{3}}=x^7, \\ y^{\frac{7}{2}}y^{\frac{1}{2}}=y^4. \end{gathered}[/tex]

Find the probability that at most 2 heads occured when 5 fair coins are tossed

Answers

Answer:

Five coins are tossed the probability of getting two heads is 5/16.

Step-by-step explanation:

I hope it will be helpful for you.

Write the equation of the line that goes through the point (3,-3) and has a slope of -5/3 (in slope intercept form).

Answers

The equation of the line that goes through the point (3,-3) and has a slope of -5/3 is y=(-5x+6)/3.

What is a slope?

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent a slope; reason for this is unclear, although it is first used in English by O'Brien in 1844, who wrote the equation for a straight line as "y = mx + b," and by Todhunter in 1888, who wrote it as "y = mx + c."

The ratio of "vertical change" to "horizontal change" between (any) two unique points on a line is used to compute slope. The ratio can also be written as quotient ("rise over run"), which produces same number for every two distinct points on the same line. A declining line has negative "rise." The line might be useful, as determined by road surveyor, or it might appear in a diagram that represents a road or a roof as a description or a design.

The slope's absolute value serves as a gauge for  line's steepness, incline, or grade. A steeper line is indicated by slope with a higher absolute value. A line can be drawn with one of four directions: upward, downward, horizontal, or vertical.

if we let y = mx + b, where m is the slope and b is the intercept, and y - y1 = m (x - x1), then:

3(y + 3) = - 5 (X - (-3))

3y + 9 = - 5 X + 15

3y = -5 X + 6

y=(-5x+6)/3

Check:

When x = 3, y should equal - 3, so:

Y = (- 5 (3) + 6)/3 = -3

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What is an equation of the line that passes through the points (-5,7) and (5,5)?

Answers

The equation that you need to use is Y=mx+b
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