A plane is in route to drop off much needed medical supplies to a town. At an altitude of 6.4 miles, it located the town airport at an angle of depression of 7.9 degrees. How many horizontal miles left does the plane need to travel? round to the nearest tenth of a mile.

Answers

Answer 1

Answer:

The horizontal distance is 46.1 miles.

Step-by-step explanation:

Here, the given question can be explained by the sides of a right angled triangle. Let x represent the horizontal miles, then applying an appropriate trigonometric function;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]7.9^{o}[/tex] = [tex]\frac{6.4}{x}[/tex]

0.1388 = [tex]\frac{6.4}{x}[/tex]

x = [tex]\frac{6.4}{0.1388}[/tex]

  = 46.1095

x = 46.1 miles

The plane needs to travel a horizontal distance of 46.1 miles.


Related Questions

Explain the characteristics of authoritarianism and identify two central Asian countries that have this type of government.

Answers

Answer:

Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner. Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights. A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey.

Answer:

. . A clear example of authoritarian governments that rule in Central Asian countries are Turkmenistan and Turkey Thus, they do not limit their power but, on the contrary, cling to it, at the expense of citizens' rights Authoritarianism is a form of government in which the rulers, that is, those who exercise the political functions of the nation, carry out their tasks in an autocratic and centralized manner

Leo deposited $1,472 in an account that earned 2.5% interest compounded annually for 7 years. After 7 years, what was Leo's account balance?

Answers

Answer:

257.6

step by step explanation:

1472×2.5×7÷100

Which statement is true about Angle C P B?

Lines C D and A B intersect at point P.
It is supplementary to Angle A P C.
It is complementary to Angle A P C.
It is congruent to Angle A P C.
It is linear to Angle A P D.

Answers

Answer:

A. It is supplementary to angle APC

Step-by-step explanation:

Vocabulary:

Supplementary Angle - Two angles that when added together equal 180 degrees.

If we look at the graph provided which is attached below we can see that if we add angles CPB and APC it forms a straight line (a straight line always = 180 degrees) Making the answer A. It is supplementary to angle APC

Answer:

Step-by-step explanation:

Which statement is true about Angle C P B?

It is supplementary to Angle A P C.

It is complementary to Angle A P C.

It is congruent to Angle A P C.

It is linear to Angle A P D.

plzzz helllp i need it done in 20 mins

Answers

Answer: C

Step-by-step explanation: calculate the decimal and put it into the calculator to get the fraction

Step-by-step explanation:

[tex] {10}^{ - 3} \\ = \frac{1}{10 \times 10 \times 10} \\ = \frac{1}{1000} \: or \: 0.001[/tex]

#CMIIW

(50 POINTS) Express each sum using summation notation.
14. 3 + 3^2/2 + 3^3/3 ... + 3^n/n
15. 1 + 3 + 5 + 7 +... [2(12) - 1]

Answers

I'm on my school computer so the picture is blocked sorry :(

Answer:

the answer is in the photo hope it help

plllllzzz helppppppp

Answers

Answer:

5. B

6. A

7. C

Step-by-step explanation:

Answer:

5.) b. 12 - 2x

6.) a. 8x

7.) c. 5d + 3c = 66

Step-by-step explanation:

uhm, I don't really have proof, i've just been doing this for a long time, you're just gonna have to trust me on this one

plzzzz help with the square ( parallelograms)

Answers

Answer:

#1=8

#2=3

Step-by-step explanation:

Raymond bought a car for $40,000. He took a 20,000 loan from a bank at an interest rate of 15% per year for a 5 - year period. What is the total amount ( interest and loan) that he would have to pay rhe bank at the end of 5 years

Answers

Answer:

$35,000

Step-by-step explanation:

The amount that would be repaid = amount borrowed + interest earned on loan

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = 20,000

Time = the duration of the deposit =5  

interest rate = the percentage on deposit that would be earned = 15

20,000 x 5 x 0.15 = $15,000

total = 20,000 + 15,000 = $35,000

What is the probability of selecting an orange candy

Answers

Answer:

how many colors are there and how many of each color?

Step-by-step explanation:

Probability of an event is the measurement of its chance of occurrence.

The probability of selecting an orange candy depends on how many candies are there. If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100%

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered random experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

How to convert percent to probability?

Percent counts the number compared to 100 whereas probability counts it compare to 1.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in probability)

The probability of selecting an orange candy depends on how many candies are there.

If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100% because then n(E) = 1 and n(S) = 1 where

E is event of selecting one orange candy from only 1 candy availablen(E) = count of ways E can be done = 1n(S) = number of ways 1 candy can be selected  from only 1 candy available

Thus, the probability of selecting an orange candy depends on how many candies are there. If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100%

Learn more about probability here:

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The polynomial V(x)=x^3+9x^2-16x-144 represents volume of a shipping crate. Explain how to find the area of the base of the crate? if the polynomial H(x)=x+4 represents the height of the crate

Answers

Answer:

x = − 9 , − 4 , 4

Step-by-step explanation:

Each crate is in the shape of a rectangular solid. Its dimensions are length, width, and height. The rectangular solid shown in the image below has a length  

4  units, width  2  units, and height  3

units. Can you tell how many cubic units there are altogether? Let’s look layer by layer.

Breaking a rectangular solid into layers makes it easier to visualize the number of cubic units it contains. This  

4  by  2  by  3  rectangular solid has  24 cubic units.

A rectangular solid is shown. Each layer is composed of 8 cubes, measuring 2 by 4. The top layer is pink. The middle layer is orange. The bottom layer is green. Beside this is an image of the top layer that says  

Altogether there are  24  cubic units. Notice that  24  is the  length × width × height .

The top line says V equals L times W times H. Beneath the V is 24, beneath the equal sign is another equal sign, beneath the L is a 4, beneath the W is a 2, beneath the H is a 3.

The volume,  V , of any rectangular solid is the product of the length, width, and height.

V = L W H

We could also write the formula for the volume of a rectangular solid in terms of the area of the base. The area of the base,  B , is equal to  length × width . B = L ⋅ W

We can substitute  

B  for  L ⋅ W  in the volume, formula to get another form of the volume formula.

The top line says V equals red L times red W times H. Below this is V equals red parentheses L times W times H. Below this is V equals red capital B times h.

We now have another version of the volume formula for rectangular solids. Let’s see how this works with the  

4 × 2 × 3

rectangular solid we started with. See the image below.

 Besides the solid is V equals Bh. Below this is V equals Base times height. Below Base is parentheses 4 times 2. The next line says V equals parentheses 4 times 2 times 3. Below that is V equals 8 times 3, then V equals 24 cubic units.

A 13 foot ladder is leaning against the wall of a house. The ladder is 5 feet away from th
base of the house. How high up the house does the ladder reach?

Answers

Answer:

12 feet

Step-by-step explanation:

Does anyone know how to do 3 & 4

Answers

Answer:

2.True

3. HGK

4. 17°

hope it helps

i light is faster then anything how did dark get there first

hello there enjoy 30 points on da house

Answers

Answer:

this just confused me so much

Step-by-step explanation:

ooooooooooooooooooo

Find the value of the variables in the simplest form

Answers

Answer:

Step-by-step explanation:

Answer:

x = 15[tex]\sqrt{3}[/tex] , y = 15

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex] , then

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{30}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 30[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 15[tex]\sqrt{3}[/tex]

---------------------------------------------------------

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{30}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 30 ( divide both sides by 2 )

y = 15

help pleaseee, no links!

Answers

A right triangle follows the Pythagorean theorem: a^2 + b^2 = c^2

Let’s work out the problems
1. 20^2 + 72^2 = 75^2
40 + 5184 = 5625
False

2. 40^2 + 74^2 = 85^2
1600 + 5476 = 7225
False

3. 45^2 + 60^2 = 75^2
2025 + 3600 = 5625
True

The correct answer is (45, 60, 75)

Someone please help me.

Answers

Answer:

with what life

Step-by-step explanation:

CAN SOMEONE HELP ME PLEASE

Answers

It seems like it is a 1:3 ratio.
y = 12
3(2x + 1) = 4x + 9
6x + 3 = 4x + 9
6x = 4x + 6
2x = 6
x = 3
Since they are similar the proportions of the figure would be equal
3/9 = 2x + 1/ 4x + 9
4x + 9 = 3(2x + 1)
4x + 9 = 6x + 3
2x = 6, x = 3
3/9 = 4/y
y = 12
Solution: x = 3, y = 12

To figure out the distance for a trip, you use a ruler to measure the distance from Orlando to Gainesville on the map. You measure 2.3 cm. Find the actual mileage
between the two cities, rounded to the nearest mile.
will give u brainlist

Answers

Answer:

The answer is 71

Step-by-step explanation:

Why because

1 cm /31 mi = 2.3 cm / m

1 x m = 31 x 2.3

n = 71.3

71.3 rounded to nearest mile is 71.

Solve for x.

PLEASE ANSWER I WILL GIVE BRAINLIEST!!

Answers

Answer:

16 + 5 =21 21 is your answer

Step-by-step explanation:

If it takes Laine 4 hours to wash the windows, Leslie 5 hours to wash the same windows, and Lance 6 hours to wash the windows, how long would it take them all working together?
.8 hours
6 hours
1.6 hours
3.2 hours

Answers

1/4+1/5+1/6=1/x

LCM = 60

15/60+12/60+10/60=1/x

37/60=1/x

37x=60

x=60/37=1.62, round =1.6

1.6 HOURS

The number of hours they would take them all working together is around 1.6 hours.

What are ratios and proportions?

A ratio is the divide of the two variables and the lower variable known as the denominator should not be zero.

Given that laine takes 4 hours to complete work

In 1 hour Laine will do 1/4 part of the work.

In 1 hour Leslie will do 1/5 part of the work.

In a 1-hour Lance will do 1/6 part of the work.

so let's suppose all done work by x hours then

1/4 + 1/5 + 1/6 = 1/x

x =1.6 so all together done the work by 1.6 hours.

For more information about ratio and proportion.

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PLZZZ HELPPP BRAINLIESTT

Answers

Answer:

1. 4 less than x

2. v = 15.00n

Answer:

4 minus x and v = 15.00n

Step-by-step explanation:

(3+4)⋅(22+3)
whats the answer for that equation

Answers

the answer should be 175

Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)

Answers

Answer:

x ≈ 9.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle, that is

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = [tex]\sqrt{93}[/tex] ≈ 9.6 (to the nearest tenth )

A board game has a spinner divided into sections of equal size(10). Each section is labeled a number between 1-5. Which number is a reasonable estimate of the number of spins on a section labeled 5 over the course of 150 spins?
A(15)
B(25)
C(40)
D(60)

Answers

The answer is C. 40 or maybe d

Which of the following equations could be the line of best fit?
A. x = 100
B. y = 100
C. y = x + 100
D. y = x - 100

Answers

The real answer is B

Peterkin park has a square fountain with a walkway aroind it. The fountain measures 12 feet on each side. The walkway is 3 1/2 feet wide.Find the area of the walkway

Answers

Answer: 829.44 ft²

Step-by-step explanation:

Correction - The walkway is 31.2 feet wide.

To solve this, first find the area of the fountain:

Area of a square = Length * Width

= 12 * 12

= 144 ft²

The find the area of the walkway including the fountain:

= 31.2 * 31.2

= ‭973.44‬ ft²

To find the area of the walkway alone, subtract the area of the square from the area of the rectangle:

= 973.44 - 144

= 829.44 ft²

Select the function that represents the simple interest formula.

A. A) = P(1 + )- 1, where n is a positive integer

O

B. A(n) = P+ (n-1);• P, where n is a positive integer

O

C. An) = n + (-1). P, where n is a positive integer

O

D. A(n) = (1 - 1)(P:n)', where nis any real number

Answers

Answer:

B. A(n) = P + (n-1)i*P

Step-by-step explanation:

The formula to determine the simple interest formula is given below:

Simple interest = P×r × t

where

P denotes the principal

r denotes the rate of interest

And, t denotes the number of years

Now we replace i with the t

So,

SI = Pni

Now for n-1 years, the simple interest is

SI = P(n - 1)×i

So, the total amount would be

A(n) = P + (n - 1)i × P

There are 30 students going on a field trip. Each car can take 4 students. Which inequality would be used to find the least number of cars needed?

Please Help! I'll give Brainliest!

Answers

Answer:8 cars

Step-by-step explanation:

to find the least amount of cars dived 30/4 which equilds 7.5

Since there are 2 remaining students, an additional car will be needed bringing the total to 8 cars.

Tuition for one year at Mount Tusk University is $13,400. Elijah has saved
$1,800 for this year's tuition. His parents have agreed to pay $5,000 this
year, and he earned a football scholarship for $3,500. Elijah hopes to earn
the rest of the money through his work-study job tutoring in the math
center. How much money does Elijah need to earn tutoring? (Enter the
quantity only)
Your answer

Answers

Answer:

The answer is 3,100

Step-by-step explanation:

If you subtract the 8,500 from his parents and his football scholarship you get 4,900 and then take the 1,800 from his saved money, You get what he still needs, which is 3,100.

Olivia is preparing many gifts for a family holiday party. Each gift must either be wrapped with wrapping paper or prepared in a gift bag. Olivia can wrap a single gift in 3 minutes and she can do a giftbag in 1.5 minutes. Olivia prepared a total 14 gifts in 30 minutes. Graphically solve a system of equations in order to determine the number of gifts Olivia wrapped, x,x, and the number of giftbags she prepared, yy.

Answers

Answer:

Olivia wrapped 6 gifts and prepared 8 giftbags.

Step-by-step explanation:

Write System of Equations:

3x+1.5y= 30                                                 x+y=14

x+y=  14                                                       y=-x+14

3x+1.5y=30

1.5y=3x+30

1.5y divided by 1.5 is y

-3x+30 divided by y is -2x+20

y=-2x+20

Olivia wrapped 6 gifts and made 8 Giftbags.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Olivia can wrap a single gift in 3 minutes and she can do a giftbag in 1.5 minutes

Olivia prepared a total 14 gifts in 30 minutes.

let number of gifts Olivia wrapped be x.

and, number of giftbags she prepared be y.

So, the equations are:

3x+1.5y= 30 .....(1)

x+y=14

Now, plotting these equations on graph we get intersecting point of two lines which shows x= 6 and y=8.

Hence, Olivia wrapped 6 gifts and made 8 Giftbags.

Learn more about equation here:

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Other Questions
I think we should continue to emphasize the history and culture of the West, while encompassing the rest, because the West has in fact made the world we know. Anyone who wants to participate in the world community in the coming century had better know how and why the West has defined, and will continue to define, world civilization. Why do I say that? Because everybody wants what we have: science and technology, prosperity, and democracythat is, our philosophy, our economics, our politics. It is the simple truth that science and technology emerge out of Western philosophy, not out of the philosophy of India, China, or the African nations. Since it is a fact that people everywhere aspire to the material advantages that flow, uniquely I think, from the modes of social organization that the West has devisedits economics, its science and technology, and also its politics and philosophyI think it is time to stop apologizing and start analyzing what has made [the West] the world-defining power that it is.Jacob Neusner, historian, It is Time to Stop Apologizing for Western Civilization and to Start Analyzing Why It Defines World Culture, The Chronicle of Higher Education, 1989The title of the article best suggests that the author is responding to the arguments of which of the following?A. Postcolonial and anti-imperialist thinkersB. Advocates for radical feminismC. Neoliberal economists and advocates of free-trade policiesD. Supporters of conservative nationalism A bag contains 9 and 54 blue marbles. If a representative sample contains 3 white marbles, then how many blue marbled would you expect to contain? 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The proposed quality control system involves the purchase of an x-ray machine for $210,000. The machine would last for five years and would have salvage value at that time of $18,000. Brisbane would also spend $470,000 immediately to train workers to better detect and repair defective units. Annual inspection costs would increase by $25,000. Brisbane expects this new control system to reduce the number of defective units to 400 per year. 350 of these defective units would be detected and repaired at a cost of only $41 per unit. Customers who still receive defective players will be given a refund equal to 120% of the purchase price.Required:a. What is the Year 3 cash flow if Brisbane keeps using its current system?b. What is the Year 3 cash flow if Brisbane replaces its current system?c. Assuming a discount rate of 8%, what is the net present value if Brisbane keeps using its current system?d. Assuming a discount rate of 8%, what is the net present value if Brisbane replaces its current system? which is the next leap year after to 2017 5 years ago, Barton Industries issued 25-year noncallable, semiannual bonds with a $1,000 face value and a 9% coupon, semiannual payment ($45 payment every 6 months). The bonds currently sell for $896.87. If the firm's marginal tax rate is 25%, what is the firm's after-tax cost of debt? Do not round intermediate calculations. Round your answer to two decimal places. Fill in the blank Vosotros ________ a verdad.A. Dicen B. Decimos C. Decis From whos point of view is this? 1. What organ system is responsible for controlling all of the bodyfunctions? If Supreme Court Justice Elena Kagan votes with the majority of Supreme Court justiceson a particular case, yet her reasoning differs from the others, she may choose to expressher reasons in a what is environment friendly technology Excess reserves A. are loans made at above market interest rates. B. are the deposits that banks do not use to make loans. C. are reserves banks keep to meet the reserve requirement. D. are reserves banks keep above the legal requirement. Suppose the required reserve ratio is % and a bank has the following balance sheet: Assets Liabilities Reserves $ Deposits $ Loans $ This bank keeps required reserves of $ nothing and excess reserves of $ nothing. (Enter your responses as integers.) Read the following description and answer the question: Which statement best describes the impact of this foreign policy?A. The United states stopped the actions of AL-Qaeda.B. The united states left the nations.C. The United states made peace with iraq.D. The united states invaded afghanistan. I need help. This is due later today. What is the value of the angle marked with x? I will give Brainliest. The following chart shows a store?s records of sales of stuffed toys for two months. 2 circle graphs. A circle graph titled September. 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