The flight path of a plane is a straight line from city J to city K. The roads from city J to city K run 9. 4 miles south and then 15. 1 miles east. How many degrees east of south is the plane's flight path, to the nearest tenth?

Answers

Answer 1

The plane's flight path is about 59.6 degrees east of the south.

The flight path of a plane is a straight line from city J to city K.

The roads from city J to city K run 9.4 miles south and then 15.1 miles east.

To the nearest tenth, the degree to which the plane's flight path is to the east of the south is approximately 59.6 degrees.

Using the Pythagorean Theorem,

we can calculate the length of the hypotenuse (the flight path) of the right triangle

 9.4-mile southern segment

 15.1-mile eastern segment as follows:

a² + b² = c²

where a = 9.4 and b = 15.1

c² = 9.4² + 15.1²c²

    = 88.36 + 228.01c²

    = 316.37c

    = √316.37c = 17.8 miles

Therefore, the length of the flight path is 17.8 miles.

To determine how many degrees east of south the plane's flight path is, we must use trigonometric ratios.

We will use tangent (tan) since we are given the lengths of the adjacent and opposite sides of the right triangle.

tanθ = b / a = 15.1 / 9.4 θ = tan⁻¹(15.1 / 9.4) θ ≈ 59.6°

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Related Questions

Given the Function below and the three point domain of {-2, 1, 3}, what is the matching three point range?
F(x) = 2x + 4

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Answer:

sorry need points

Step-by-step explanation:

select all sets of side lengths that could form a triangle ​

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8,8,8 is a triangle for sure

can someone please help me find the value of y

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Answer:

4y=48

y=48/4

y=12

therefore,the value of y is 12

11 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?

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11 divided among the 5
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An algebraic expression is given. Use the expression to answer the following questions,

a) How many terms are there in the algebraic expression?

b) What is the numerical coefficient of the first term?

c) What is the constant term?

d) Does the algebraic expression contain like terms? If so, what are the like terms?

X+ 3+ 7x
The

Answers

Answer:

A. 2

B.1

C.3

D. (should be x and 7x but that isnt an answer choice so) no

Step-by-step explanation:

For given expression x + 3 + 7x,

a) the number of terms in an algebraic expression = 2

b) the numerical coefficient of the first term = 1

c) the constant term = 3

d) the like terms are x and 7x

What is an algebraic expression?

"It is a mathematical expression that consists of variables, numbers and operations."

What is constant?

"It is a value or number that never changes in expression."

What are like terms?

"The like terms are defined as the terms that contain the same variable which is raised to the same power."

For given example,

We have been given an expression  x + 3 + 7x

a) x + 3 + 7x = 3 + (1 + 7)x

                    = 3 + 8x

So, the number of terms in the algebraic expression = 2

b) for given expression x + 3 + 7x,

the first term is x

x = (1) × (x)

the numerical coefficient of the first term is 1.

c) for given expression x + 3 + 7x,

the constant term = 3

d) for given expression x + 3 + 7x,

the like terms are x and 7x

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(Easy) PLEASE HELP! I REALLY NEED TO GET THESE QUESTIONS RIGHT!

1. For the given equation, find the value of M when x=5. x + 3M = 14

2. What is the standard form for an exponential equation? Explain how you know if an exponential equation show’s growth or decay

Answers

M=3 bc x(5) +3M(3•3) = 14 aka 9 + 5.

Use the table definitions of H(t) and r(t) shown below to find (H o r)(3.0)

Answers

Answer:

C

Step-by-step explanation:

Given the tables of H(t) an r(t), we want to find:

[tex](H\circ r)(3.0)[/tex]

As stated, this is equivalent to:

[tex]=H(r(3.0))[/tex]

Using the r(t) table, we can determine that:

[tex]r(3.0)=2.0[/tex]

Therefore:

[tex]H(r(3.0))=H(2.0)[/tex]

And by using the H(t) table, we can determine that:

[tex]H(2.0)=2.5[/tex]

So, our answer is C.

Please can I have the workings too​

Answers

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{3-2a}{a^2}[/tex]

Step-by-step explanation:

Before we can subtract the fractions we require them to have a common denominator.

Multiply the numerator/ denominator of [tex]\frac{2}{a}[/tex] by a , then

[tex]\frac{3}{a^2}[/tex] - [tex]\frac{2a}{a^2}[/tex] ← with common denominator a²

Add numerators leaving the denominator

= [tex]\frac{3-2a}{a^2}[/tex]

Pleasssseeeee help its almost due

Answers

In A x=64 bc alternate interior angles are congruent and 128/2= 64. In B x=75 bc alternate exterior angles are also congruent and (151-1)/2 = 75. In C x=12 bc consecutive interior angles are supplementary. 7x+24+72=180 180-72-24=84 84/7=12

12. (8x+15) + 45 + (18x+15) + 45

Answers

2 ( 13x + 60 ) or 26x + 120 is the correct answer
Yea that what I got so he’s right

Solve for x. −9x+2>18 AND 13x+15≤−4

Answers

Answer:

-16/9

Step-by-step explanation:

Can someone please help me with this question?

Answers

Answer:

110 degrees

Step-by-step explanation:

Ok so no matter what the shape is, the exterior angles always have to add up to 360 degrees. Then, you can make the equation:

140 + 110 + x = 360

250 + x = 360

x = 110 degrees

Here's another way you can do it:

To do this, you can start by noticing that the top angle would be 40 degrees, because there's a straight line with 140 degrees and that angle, so you can do 180 - 140 = 40 degrees.

Then, the angle towards the bottom right would be 70 degrees using the same strategy:

180 - 110 = 70 degrees

The interior angles of a triangle always have to add up to 180 degrees, so you can do 180 - 40 - 70 = 70 to find the third interior angle of the triangle.

The last step is to do 180 - 70 = 110 to find the measure of the exterior angle at that point.

6. Simplify the expression.
3n+5-12n-8+6p

Answers

Answer

-9n-3+6p

Step-by-step explanation:

Answer:

-9n - 3 + 6p

Step-by-step explanation:

You have to remember that you can add or subtract only LIKE terms. In other words, you can't add 3n + 5, so separate them.

In this equation: 3n + 5 - 12n - 8 + 6p,

1. 3n - 12n

2. 5 - 8

3. 6p

= -9n - 3 + 6p

Somebody plss (kinda easy tho)

Answers

Answer:

74 pesos

Step-by-step explanation:

Let us assume the one peso coins be x

so, number of five peso would be x + 4

And, the total coins is 22

Now the equation is

x + x + 4 = 22

2x + 4 = 22

2x = 22 - 4

2x = 18

x = 9

Five peso coins is 9 + 4 = 13

Now

= 9(1) + 13(5)

= 9 + 65

= 74 pesos

Combine like terms

7k + 4(k + 4)

A.8k + 16

B.11k + 16

C.7k + 1k + 16

D.27k

Answers

Answer:

B. 11k + 16

Step-by-step explanation:

We have an expression and are asked to combine like terms.

To solve this, we need to first distribute 4(k + 4). Which is to multiply four by both k and 4.

(4(k) + 4(4))

4k + 16

7k + 4k + 16.

Since 7k and 4k are like terms since they end in the same variable, we can only add them.

7 + 4

11

11k + 16

PLEASE HELP WILL GIVE BRAINLIEST!!!

Answers

Answer: Choice B) Investment decreases by 3% each month

=====================================================

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

A function is represented by the graph. The y intercept of the function y=-2x+8 is what to the y intercept of the function represented in the graph

Answers

Answer:

8

Step-by-step explanation:

School
PLEASE HELP WITH THIS QUESTION: One week Tony bought 6 soft shell tacos and 2 hard shell tacos for $12. The next week he bought 3 soft shell tacos and 1 hard shells tacos for $6. Write a system to find the cost for each type of taco. Explain your answer.

Answers

The soft shell tacos cost a dollar and the hard shell cost three dollars so in algorithm 3x2 equals 6 plus 6x1 equals 12 combined. So the hard shell cost 3$’s while the soft shell cost 3$’s

What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
o
02

Answers

Answer:

2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-2)/(-4-(-2))

m=-4/(-4+2)=-4/-2=2

Factor the polynomial using the greatest common factor.
4x9 + 3x2. 2x

Answers

Answer:

You can do it maybe ask you teacher for help! thats always okay!

Step-by-step explanation:

1 Calcula de la medio aritmética, la mediana
y la moda. Se analizó el IVA que se oplico
en diversos países europeos, a la compra de
obras de arte. Los resultados obtenidos
fueron los siguientes:
PAIS
España 0,16
Holia 0,20
Belgica 0,06
Holanda 0.06
Alemania 0,07
Portugal 0,17
Luxemburgo 0,06
Finlandia 0,22.​

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Answer:

Step-by-step explanation:

orms of volunteering can be applied to the different roles that people take within ... volunteer motivations and looks to develop a typology of sports volunteers. ... diversity for their effectiveness as a policy tool and for government support. ... International Journal of Sport Policy and Politics 4, 2, 187–200 . ... text, however. For .

How many kids are there in the US

Answers

Answer:

74.2 million children under the age of 18

Step-by-step explanation:

Answer:

74•2 million kids are in the usa

is y=x+3 a proportional relationship?

Answers

Answer: yes

Step-by-step explanation: im correcting my answer

Answer:

Yes

Step-by-step explanation:

The Ratio's Are Equivalent.

Help with this please!

Answers

Answer:

47

Step-by-step explanation:

mean is found by dividing the sum of the terms by the number of terms:

(43+48+41+41+x)/5=44

173+x=220

x=220-172=47

The is answer is 47

Please find what the value of x and y is!!!

Answers

Answer:

x = 3; y = 2

Step-by-step explanation:

You would just set each side equal to its opposite so for x, it'll be like:

4x+6=7x-3

and for y:

4y-3=3y+1

I attached my work below as well to help you.

A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
Find the experimental probability of landing on a 2.
12

Answers

Answer:

1/6 times the number cube wil land on 2

Step-by-step explanation:

Find the area of a square with sides of length 1/3 (fraction) yard.

Answers

Answer:

A. 1/3 sq yard

*sneezes cutely

Step-by-step explanation:

change your name

DO IT. DO IT NOW. Why arent you listenin-

pa help po need lang ipasa ngayon​

Answers

1.

[tex] \frac{3}{5} \times \frac{5}{6} = \frac{15}{30} = \frac{1}{2} [/tex]

2.

[tex] \frac{3}{5} \times \frac{3}{15} = \frac{9}{75} = \frac{3}{25} [/tex]

3.

[tex] \frac{5}{8} \times \frac{4}{10} = \frac{20}{80} = \frac{1}{4} [/tex]

4.

[tex] \frac{5}{12} \times \frac{3}{8} = \frac{15}{96} = \frac{5}{32} [/tex]

5.

[tex] \frac{12}{20} \times \frac{5}{6} = \frac{60}{120} = \frac{1}{2} [/tex]

6.

[tex] \frac{4}{5} \times \frac{8}{3} = \frac{32}{15} = 2 \frac{2}{15} [/tex]

7.

[tex] \frac{3}{8} \times \frac{16}{7} = \frac{6}{7} [/tex]

8.

[tex] \frac{11}{2} \times \frac{18}{7} = \frac{198}{14} =14 \frac{1}{7} [/tex]

9.

[tex] \frac{14}{6} \times \frac{18}{5} = \frac{252}{30} = 8 \frac{2}{5} [/tex]

10.

[tex] \frac{4}{3} \times \frac{5}{2} = \frac{20}{6} = 3 \frac{1}{3} [/tex]

This meal costs $33.00.
A 7% sales tax is applied, followed by an automatic tip
of 18%.
What is the total with tax and tip?

Answers

Answer:

7% of $33.00 is $2.31

total $35.31

18% of $35.31 is $6.35

The total with tax and tip is $41.66

Brainly plz :))

The total cost of the meal after tax and tip will be $41.67.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

This feast costs $33.00. A 7% deals charge is applied, trailed by a programmed tip of 18%.

The cost after tax is given as,

⇒ $33 x 1.07

⇒ $35.31

The cost after the tip is given as,

⇒ $35.31 x 1.18

⇒ $41.67

The total cost of the meal after tax and tip will be $41.67.

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pls solve~~~~~~~~~~~~~~~~~~~~~~~~​

Answers

Answer:

q3

Step-by-step explanation:

P°×q3

=1×q3

=q3

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