can you please help me with this

Answers

Answer 1

You have the following information about the triangle formed between A, B and C (where the airplane is) points:

distance AB = 6 mi

m∠x = 25°

m∠y = 55°

In order to determine the distance from point B to C, first find the measure of the internal angles of the triangle.

Consider the line of the trajectory of the airplane and the line of the surface of the ground as parallel lines. Then, you can assume that both segments AC and BC are secant line which cross two parallel lines.

The previous conclusion allows you to determine the angles m∠ABC and m∠CAB as equal to m∠y and m∠x respectively.

m∠ABC = m∠y = 55°

m∠CAB = m∠x = 25°

Next, take into account the sum of all interioir angles of a triangle is equal to 180°, then for the angle m∠ACB you have:

m∠ACB = 180° - m∠ABC - m∠CAB = 180° - 55° - 25° = 100°

Next, take into account you have information about one side of the triangle and all interioir angles. Then, you can use the law of sines to find the value of the length of segmen AC, just as follow:

AC/sin(m∠CAB) = AB/sin(m∠ACB) = BC/sin(m∠ABC) law of sines

take the second equation:

AB/sin(m∠ACB) = BC/sin(m∠ABC) replace the values of the parameters

6/(sin100°) = BC/(sin55°) solve for BC

(6/(sin100°))(sin55°) = BC

4.99 = BC

BC 5.00

Hence, the distance from the point B to the airplane is 5 mi.


Related Questions

Luis and Roberto are donating some of their baseball cards to the library. Luis started with 50
cards and gave away X number of them. Roberto started with 80 cards and gave away 3 times as
many as Luis had given away.
If they both now have the same number of baseball cards, how many baseball cards did Roberto
give away?

Answers

Answer:

X=15

Step-by-step explanation:

50−x=80−3x

Step 1: Simplify both sides of the equation.

50−x=80−3x

50+−x=80+−3x

−x+50=−3x+80

Step 2: Add 3x to both sides.

−x+50+3x=−3x+80+3x

2x+50=80

Step 3: Subtract 50 from both sides.

2x+50−50=80−50

2x=30

Step 4: Divide both sides by 2.

2x \2 = 30 \2

Answer:

x=15

An interviewer officer selects a person not suitable for the job is:


Select one:
a. Two Directional Bias
b. None of these
c. Three Directional Bias
d. Unbaised Error
e. one direction Bias

Note: Answer B is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.

Answers

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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Light travels about 186,000m/s. The function d(t)=186,000t gives the distance d(t), in miles, that light travels in t seconds. How far does light travel in 18 s?

Answers

So, light travels 3,348,000 miles in 18 seconds.

How light travels from the given path?

The function d(t) = 186,000t gives the distance d(t) in miles that light travels in t seconds. To find out how far light travels in 18 seconds, simply substitute 18 for t in the component and optimise:

\(186,000 * 18 = 3,348,000 miles = d(18).\)

In a vacuum, light moves in a straight line at a constant speed. Light travels at a slower rate in other materials, such as air or glass, and can also be bent or refracted. Light is a type of electromagnetic radiation, or energy that travels through space. The speed of light in a vacuum is considered to be one of the fundamental constants of nature and is denoted by the symbol "c". It is the fastest speed that anything can travel and is a crucial concept in physics and astronomy.

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What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...? a. -1 c. 3 b. -3 d. 30 Please select the best answer from the choices provided

Answers

Answer:

b. -3

Step-by-step explanation:

30 - 3 = 27

27 - 3 = 24

24 - 3 = 21....

Question 6 of 6
Which exponential expressions are equivalent to the one below? Check all
that apply
(5.912
I A. 512 + 912
+
O B. 512.912
> c. 4512
D. (5.9)12
SUBMIT

Question 6 of 6Which exponential expressions are equivalent to the one below? Check allthat apply(5.912I

Answers

\( \huge \boxed { \sf \: Answer}\)

We have to use the formula:

\((ab) ^{n} = {a}^{n} {b}^{n} \)

So,

\((5 \times 9) ^{12} \\ = {5}^{12} . 9^{12} \)

Also, it will be

\( 45^{12} \)

Hope you could understand.

If you have any query, feel free to ask.

In the figure below, mWXZ = 95°, and m2 is four times mZ1. Find m2 1.
W
2
m21-0°
X
M<1

In the figure below, mWXZ = 95, and m2 is four times mZ1. Find m2 1.W2m21-0X M&lt;1

Answers

let m1 be x
m2 be 4x
4x+x=95
5x=95
x=95/5
x=19

m1 is 19

each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given

Answers

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Find the greatest common factor of 10b³ and 4b.

Answers

Solution:

2b would be the greatest common factor (GCF) between both 10b^3 and 4b.

Hope this helps!

can someone help i have been asking for 2 hours

can someone help i have been asking for 2 hours

Answers

Flipping a point across the y axis, the y coordinate should flip signs (negative if it was positive before, and vice versa). So

reflection across y axis  =  (-1 5/7, 1).

Similarly, reflecting across the x axis, the sign will also flip. So

reflection across x axis  =  (1 5/7, -1).

The diagonal of a rectangle big-screen TV screen measures 152cm. The length measures 132cm. What is the height if the screen?​

Answers

Answer:

75.36cm

Step-by-step explanation:

We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;

height = \(\sqrt{5680} = 75..36 cm\)

bridge is raised so that it forms a 15° angle with the ground. It is then raised some more so that it forms a 43° angle with the ground. How many degrees was the draw bridge raised from its first position to its second position?

Answers

Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

The value of 0.01 gramis equivlent to

Answers

Answer:

10 milligrams

Step-by-step explanation:

Answer:

1 milligrams

milligrams

PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.

PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What

Answers

Answer: 24

Step-by-step explanation:

To find the area of the composite figure, we need to find the area of the sector and the area of the triangle and then add them together.

Area of sector = (θ/360) * π * r^2, where θ is the angle of the sector in degrees, r is the radius of the circle.

The angle of the sector can be found by subtracting the angle of the triangle from 360 degrees. The radius of the circle can be found by dividing the length of the arc by the angle of the sector.

Length of the arc = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 4 = 4.19

Radius of the circle = 4.19/60 = 0.07

Angle of sector = 360 - 60 = 300 degrees

Area of sector = (300/360) * 3.14 * 0.07^2 = 0.0041

The area of the triangle can be found using the formula:

Area of triangle = (1/2) * base * height = (1/2) * 8 * 6 = 24

Therefore, the total area of the composite figure is:

0.0041 + 24 = 24.0041

Rounding to the nearest hundredth, the area of the composite figure is approximately 24.00.

In a geometric sequence, a2=2, a3=16, and a4=128.

Which equation can be used to find the nth term of the sequence, an?


an=8⋅2n−1

an=2n−1

an=14⋅8n−1

an=2⋅14n−1

Answers

Answer:

an = 1/4(8)^n-1

Step-by-step explanation:

Given the following in a geometric sequence, a2=2, a3=16, and a4=128.

nth term of a sequence = ar^n-1

a is the first term

r is the common ratio

r = a3/a2 = a4/a3

r = 16/2 = 128/16

r = 8

a2 = ar

2 = 8a

a = 2/8

a = 1/4

The nth term by substituting the parameters will be;

an = 1/4(8)^n-1

The graph of a rational function f is shown below.
Assume that all asymptotes and intercepts are shown and that the graph has no "holes".
Use the graph to complete the following.

The graph of a rational function f is shown below.Assume that all asymptotes and intercepts are shown

Answers

Answer:

what is 378÷2=

Step-by-step explanation:

and can you explain it for a 4th grader

Evaluate iint S sqrt 1+x^ 2 +y^ 2 dS where S is the helicoid: r(u, v) = u * cos (v) * i + u * sin (v) * j + vk with 0 <= u <= 1, 0 <= v <= 2pi

Evaluate iint S sqrt 1+x^ 2 +y^ 2 dS where S is the helicoid: r(u, v) = u * cos (v) * i + u * sin (v)

Answers

Given the parameterization

\(\vec r(u,v) = u\cos(v) \, \vec\imath + u\sin(v) \,\vec\jmath + v \,\vec k\)

take the normal vector to be

\(\vec n = \dfrac{\partial\vec r}{\partial u} \times \dfrac{\partial \vec r}{\partial v} = \sin(v) \,\vec\imath - \cos(v) \,\vec\jmath - u \,\vec k\)

(The order of partial derivatives in the cross product doesn't matter since this a scalar line integral.)

Compute the magnitude of the normal vector.

\(\|\vec n\| = \sqrt{\sin^2(v) + (-\cos(v))^2 + (-u)^2} = \sqrt{1+u^2}\)

so that the area element reduces to

\(dS = \|\vec n\| \, du\,du = \sqrt{1+u^2}\,du\,du\)

Evaluate the integrand at \(\vec r\) to get

\(\sqrt{1 + (u\cos(v))^2 + (u\sin(v))^2} = \sqrt{1 + u^2}\)

The surface integral reduces to

\(\displaystyle \iint_S \sqrt{1+x^2+y^2} \, dS = \int_0^{2\pi} \int_0^1 (1+u^2) \, du \, dv = 2\pi \int_0^1 (1+u^2) \, du = \boxed{\frac{8\pi}3}\)

___ divided by -6 = -4

what is ___ ?

brainliest and 40 points to correct answer only

Answers

Answer:

24

Step-by-step explanation:

i did was times -6 by -4

negative times negative equals positive

-6*-4 = 24

then divide to see if its true

24 ÷ -6 = -4

The cafeteria lunch menu lists:
Pizza Cheese, Sausage, Pepperoni
Dessert - Pudding or Cookie
Drink-Water, Milk, Soda
How many different lunch meals can you construct from these choices?
O 18
O
O 81
03

Answers

Answer: 18

Step-by-step explanation:

Multiply number of each item possible

3*2*3=18

Which of the following congruent statements correctly describes the triangles below ?

Which of the following congruent statements correctly describes the triangles below ?

Answers

Answer:

The correct answer is the second option: ABC = DEF.

Step-by-step explanation:

I know this sort of stuff, I hope this helps! :)

Leo sold candy bars for a fundraiser. He spent $25 on a box of candy bars and sold them for $2 each. His profit (after earning back the $25) was $69, so he used the equation $2c−$25=$69 to find out how many candy bars he sold.

When he solves the equation, he gets c=47.

Answers

Answer:

c=47

Step-by-step explanation:

please help and explain how you did it

please help and explain how you did it

Answers

To determine the lengths of the sides from shortest to longest, you need to calculate the corresponding angles. The higher angles will correspond to longer sides.

To find the angles, you have to solve for x. You’re already given that angle A is 76. To find the others, you know that angle C is 180-(16x+16) since it’s supplemental to the exterior angle. Then, you know the sum of the angles of the entire triangle is 180, so add up A, B, and C

A+B+C=180
76+6x+(180-16x-16)=180
240-10x=180
-10x=-60
x=6

So to find angle B, you use 6x or 6(6)=36.

To find angle C, you use 180-(16x-16) or 180-16(6)-16=68

So now match up the angles with their corresponding sides to find the length from shortest to longest.

Angle A (76) corresponds with BC
Angle B (36) corresponds with AC
Angle C (68) corresponds with AB

Again, the higher the degree, the longer the corresponding side, so AC is shortest, AB is next, and BC is the longest.

Which of the following best describes the slope of the line below ?
A) Undefined
B) Positive
C) Negative
D) Zero ​

Which of the following best describes the slope of the line below ?A) Undefined B) Positive C) Negative

Answers

I think b positive let me know if it is correct
the answer would be C) zero slope

plz help its so confusing

plz help its so confusing

Answers

Answer:

20, 4

Step-by-step explanation:

Let's assume total number of students registered is n

Last week n/4 people are absent

so people present are n - n/4 = 3n/4

Today after return of Jen  1/5 n are absent

so people present are n - n/5 = 4n/5

which is also equal to last week present people + 1 (Jen)

= 3n/4 + 1

= (3n + 4) / 4

so (3n + 4) / 4 = 4n/5

=> 3n + 4 = 4n/5 * 4

=> (3n + 4) * 5 = 16n

=> 15n + 20 = 16n

=> 20 = n

=> n = 20

So total students registered for class is 20

today no of people absent = n/5 = 20/5 = 4

The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.
hurry pls
Buckets 3 5 7
Price (dollars) 28.50 47.50 66.50


Determine the constant of proportionality.

Answers

The constant of proportionality will be 9.5 when the table displays the proportionate cost for a particular quantity of golf ball buckets at a driving range.

Given that,

The table displays the proportionate cost for a particular quantity of golf ball buckets at a driving range.

We have to find the constant of proportionality.

We know that,

What are ratio and proportion?

A collection of consecutively ordered numbers a and b expressed as a/b, where b is never equal to zero, is referred to as a ratio. A statement is considered proportionate when there is equality between two items.

The table displays the proportional relationship between the price for a particular quantity of golf ball cans at a driving range.

Buckets                         3               5             7

Price (dollars)            28.50       47.50      66.50

The constant of proportionality is calculated as,

⇒ 25.8 / 3

⇒ 9.5

Therefore, The constant of proportionality will be 9.5 when the table displays the proportionate cost for a particular quantity of golf ball buckets at a driving range.

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Answer:

9.5

Step-by-step explanation:

I took the exam and got it right

cesar gasto el 15% de sus ahorros en un celular por lo que ahora le queda 2.125 dolares ahorrados ¿cuanto dinero tenia inicialmente cesar?

Answers

Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.

Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:

C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.

If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?

Our input is 77.

C = (5/9)*(77 - 32)

C = (5/9)*(45)

C = 25

The equivalent temperature is 25 degrees Celsius.

To complete the Discussion activity, please do the following:

Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).

Arm length is a function of height.

The circumference of a circle is a function of diameter.

The height of a tree is a function of its age.

The length of person's shadow on the ground is a function of his or her height.

Weekly salary is a function of the hourly pay rate and the number of hours worked.

Compound interest is a function of initial investment, interest rate, and time.

Supply and demand: As price goes up, demand goes down.

Answers

The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Which expression is always equivalent to sin x when 0° < x < 90°?
(1) cos (90°- x)
(3) cos (2x)
(2) cos (45° - x)
(4) cos x

Answers

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Juan sold fruit baskets for $16.50 each and pencils for $1.50 each. His goal is to sell $300.00 worth of goods to pay for his trip’s cost. How many fruit baskets will Juan need to sell the last three weeks to achieve his goal? fruit baskets

Answers

18.35 I think all u have to do is divide 16.50 by 300

Answer:

18 fruit baskets and 2 pencils

Step-by-step explanation:

To start off you want to take $16.50 x 18

which will leave you with $297, then you will add the pencils which will cost $1.50 and 2 pencils times 2 will give you $3.

The equation: 3 + 297 = exactly 300

A 35% decrease resulted in a new work force number of 124. What was the original number in the work force?

Answers

The solution is,  the original number in the work force is 190.76.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A 35% decrease resulted in a new work force number of 124.

let, the original number in the work force is  x

then,

x - x*35% = 124

or, x - 0.35 x = 124

or, 0.65 x = 124

or, x = 190.76

Hence, The solution is,  the original number in the work force is 190.76.

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factor completely: 90v + 40

Answers

Answer:

Factor 90v+40

90v+40

=10(9v+4)

Answer:

10(9v+4)

Answer:

10(9v+4)

Step-by-step explanation:

10 goes into BOTH of those numbers so that's why it equals 10(9v+4)

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