a plane departs an airport and mistakenly travels due west at 500mph for 30 minutes. the pilot realizes that the correct destination (airport b) was actually 600 miles away at a bearing of 60 degrees west from airport a. how far is the airplane from its original destination now?

Answers

Answer 1

Answer:

403 miles

Step-by-step explanation:

500 mph is 500 miles per hour

30 minuites is half an hour, so that is 250 miles west

60 degrees west, 600 miles away

so it is a triagle of 30 60 and 90.

600 is the hypotenuse of the 30 60 90 triangle

we need to find the height of the 30 60 90 triangle

using the special rule, the height is 300

the length of the 30 60 90 triangle is 300rt3

so 300rt3 - 250  is the length of another triangle.

height is still 300

hypotenuse is the distance of the actual area minus the plane's current position

(300^2 + (300rt3-250)^2)^1/2 is about 403.351433


Related Questions

Which of the following expressions is equivalent to 25÷78?
A
25×78

B
52×78

C
52×87

D
25×87

Answers

Answer:

c because there's no answer to the other equation and I already use math for it and it's the answer

Six values on the number line above are marked with letters. Match the opposites

A) D and F; C and E
B) D and F; E and G
C) D and F; A and G
D) A and G; E and F

Answers

Answer:

C) D and F; A and G

Step-by-step explanation:

325.623 rounded to nearest hundredth

Answers

Answer:

325.62

Step-by-step explanation:

Find the number in the hundredth place  2  and look one place to the right for the rounding digit  3. Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

325.62

When your rounding you look at the number next to the number your rounding to. For example: 325.623 the hundredths place is the 2 so the number next to it is 3.

When your rounding there is a saying ( there r different ways of saying it this is the way I was taught) 5 or more raise the score. 4 or less let it rest. Meaning if it’s 5 or more raise the number one level up ( 5 goes to 6, 6 goes to 7, 7 goes to 8, 9 goes to 10). If it’s 4 or less take away the numbers behind the number your rounding to. ( Example: 45.6478 if we r rounding to the nearest tenth we look at the 4 it’s 4 or less so it would be 45.6).

So 3 is less than 4 so we take away the numbers behind the 2 therefore we get or answer 325.62

Hope I didn’t bore you and hope this helps. :)

Q16. Find x^2 + 1/x^2 , if x + 1/x = 3

Answers

Answer:

[tex] 2 \times x \times \frac{1}{x} = 2 \\ {x}^{2} + {y }^{2} + 2xy = {(x + y)}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = {(x + \frac{1}{x} })^{2} = {3}^{2} = 9[/tex]

Pls help me with this question!!!!

Answers

Answer:

The answer is A

Step-by-step explanation:

Question
Which of the following values are in the range of the function graphed below?
Check all that apply.

A. 2
B. 1
C. O
D. 4
E-4
F. -1

Answers

Range means all y values of the function.

The answer is E. -4

Help Will give branliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4=-x+2 - model 1.

3x-1=7 - model 2.

-5+2x=3 - model 6.

5+2x=-3 - model 3.

-4=2x+1 - model 5.

-3x+1=7 - model 4.

NO BOTS! PLEASE HELP!
Solve the inequality -5/2 (3x-2)<6-2x. For full credit, you will need to show and explain every step. You may add more lines if you need them

Answers

Answer: Answer: x> -2/11

Step-by-step explanation: Multiply both sides of the inequality by the least common denominator: 2 (-5/2(3x-2))<2x6-2x2x

Reduce the expression to the lowest term: -5(3x-2)<2 x 6-2 x 2x

Apply Multiplicative Distribution Law: -15x + 10< 2 x 6 -2 x 2x

Multiply the monomials:-15x + 10< 2 x 6 - 4x

Calculate the product or quotient: -15x + 10<12-4x

Rearrange unknown terms to the left side of the equation: -15x + 4x< 12 - 10

Combine like terms: -11x < 12 - 10

Calculate the sum or difference: -11x<2

Divide both sides of the inequality by the coefficient of variable: x > 2 ÷(-11)

Rewrite as fraction: x> 2/-11

Rewrite the fraction: x> -2/11

Answer: x> -2/11

The solution to the inequality is x>-2/11.

The given inequality is -5/2 (3x-2)<6-2x

We need to simplify the given inequality step by step.

How to solve inequality?

To solve an inequality, isolate the variable on one side with all other constants on the other side. To accomplish this, perform opposite operations to manipulate the inequality. First, isolate the x by multiplying each side by two. Whatever you do to one side you must also do to the other side.

Now, multiply both sides of the inequality by 2.

That is,  -5(3x-2)<2(6-2x)

=-15x+10<12-4x

Add both sides of the inequality by 4x.

That is, -15x+10+4x<12-4x+4x

=-11x+10<12

Subtract 10 on both sides of the inequality.

That is, -11x+10-10<12-10

-11x<2

Divide both sides of the inequality by -11.

x>-2/11

Therefore, the solution to the inequality is x>-2/11.

To learn more about inequality visit:

https://brainly.com/question/17675534.

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The points (2, 10) and (0, 4) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer:

slope=x^2-x^1/y^2-y^1

this is the formula.

Write 10 9 as a decimal. Round to the nearest thousandth if necessary.

Answers

Answer:

If you mean 10/9 then the answer should be 1.1 repeating itself

Step-by-step explanation:

Answer:

1.111

Step-by-step explanation:

10/9 = 1.111

( i rounded 10/9 to a decimal)

am not 100% about this but hope it help

What can divided 36 and 99

Answers

Step-by-step explanation:

GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.

I was going to just say the answer was 3 but the other person put multiple answers.So they have the correct answer.Good job!

What is the answer, I need help.

Answers

Answer: i think is D

Step-by-step explanation:

Help me solve this please

Answers

Answer:

translation

Step-by-step explanation:

translation move with same shape and size

Answer:

translation

Step-by-step explanation:

move the same ship and size

Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?

Answers

Answer:

$30.

Step-by-step explanation:

70/28 = 2.5

12 x 2.5 = 30

If three dice are rolled, what chance is there
of throwing a total of 18?

Answers

Answer:

1/216

Step-by-step explanation:

1/6 times 1/6 times 1/6

or 6^-3

Answer:

Step-by-step explanation:

There is only 1 way you can throw 18 with 3 dice. There are 6 * 6 * 6 = 216 ways of throwing 3 dice. Only 1 will give you  18. So the answer is 1/216

Convert the following.
15, 000 m² =________hectare
2.5 hectares =_______m²​

Answers

Answer:

15,000 m²= 1.5 hectares

2.5 hectares= 25, 000 m²

Step-by-step explanation:

Sana makatulong

h(x)=-x-1h(x)=−x−1, find h(-2)h(−2)

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Given function :

[tex]h(x) = - x - 1[/tex]

we have to find h(-2) :

[tex]h( - 2) = - ( - 2) - 1[/tex]

[tex]h( - 2) = 2 - 1[/tex]

[tex]h ( - 2) = 1[/tex]

Please help me answer this question. Brainiest to the correct answer with a formal and clear explanation. More questions in 2 mins.

Answers

Answer:

101 degrees

Step-by-step explanation

Image result for step of how to find a missing angle

For the exact angle, measure the horizontal run of the roof and its vertical rise. Divide the horizontal measurement by the vertical measurement, which gives you the tangent of the angle you want. Use a trigonometry table to find the angle.

help me with this:(((​

Answers

Answer:

3

Step-by-step explanation:

Describe and correct the error in evaluating the expression. -10^2 = 100

Answers

Answer:

-10² = -100

Step-by-step explanation:

The error in the evaluation occurred when the negative base (which is -10) was squared altogether outside of the parenthesis. (-10²) still results in -100.

The only time that the result will produce a positive 100 is when you square -10 this way: (-10)² = 100 because the negative sign is included with the squaring of base through the parenthesis.

Hope this helps.

A power in mathematics is defined as the exponent to which a whole number is raised.

There is no error in evaluating the expression because [tex]-10^{2} = 100[/tex]

When multiplying two negative numbers, their negative signs tend to cancel out

-a x - a = [tex]a^{2}[/tex]

The power for a is given as 2

To solve the above question:

[tex]-10^{2}[/tex]

This can be written as:

-10 x -10

= 100

Therefore, there was no error in the evaluation of the expression.

because [tex]-10^{2} = 100[/tex]

To learn more, visit the link below:

https://brainly.com/question/10698135

Вычислите значение выражения наиболее удобным способом:
-3,2*2 11/18+ 3,2*3 13/18- 3,2*7/18=

Answers

Answer:

Idiosyncratic apricot

Skylar is going to drive from her house to City A without stopping. An equation that determines Skylar's distance from City A tt hours after leaving her house is D=120-30t. What is the x-intercept of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

The x-intercept of the function is 4 which represents the total time of the trip, in hours.

Step-by-step explanation:

Since Skylar was a distance of 0 miles from City A after 4 hours, the x-intercept of 4 represents how many hours it took Skylar to drive from her house to City A.

Have a good day :)

The x- intercept is 4 hours.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δxwhere,m is the slope

Given:

D=120-30t.

According to slope - intercept form

y= mx+ b

where m is the slope and b is the y intercept.

So,  the x-intercept

0= 120- 30t

t= -120/ (-30)

t= 4

Hence, the x- intercept is 4 hours.

Learn more about slope here:

https://brainly.com/question/3605446

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Richard tosses a ball into the altThe function b(t) = - 5t ^ 2 + 10t + 6 the the ball itDoes the a height of 12 m?

Answers

Answer:Nope

Step-by-step explanation:

The equation, b(t) = - 5t ^ 2 + 10t + 6, is a parabola with a vertex.  We must find whether that vertex is equal to or exceeds 12m.  One can graph the equation and find that the vertex is at (1,11), below the 12.  It cannot reach 12 meters.

[One may also differentiate the equation and set it equal to zero (the point at which the slope of the parabola is zero, which will be at the vertex as it begins downward)].

STEM The average temperature on the planet Neptune is –214 °C. The
temperature on the south pole of Neptune is thought to be 10 °C. Is this
colder or warmer than the average temperature? Write an inequality to
support your answer.
Which is colder??

Answers

Your mom eats my hair

Mr.cayanan bought 4 bottles of honey each contained 1.25 liters how many liters of honey she prepared?​

Answers

Answer:

the answer Is 5

Step-by-step explanation:

1.25 × 4 = 5

sin^2020(x)+cos^2020(x)=1

Answers

Answer:

so this is really simpel x=1 thats it

Step-by-step explanation:\sin ^2\left(20^{\circ \:}\right)\left(x\right)+\cos ^2\left(20^{\circ \:}\right)\left(x\right)=1 \sin ^2\left(20^{\circ \:}\right)x+\cos ^2\left(20^{\circ \:}\right)x=1

Find the equation in slope-intercept form of the line parallel to y = 4x + 23 and passes through the point (2,3).

Answers

Answer: y=4x-5

Step-by-step explanation:

The slope of y=4x+23 is:4 m=4  

The parallel line needs to have the same slope of 4

Solve it using the "point-slope" equation of a line:   y− y1 = 2(x − x1)

substitute or put in the point (2,3):

y − (3) = 4(x − 2)

y - 3 = 4x - 8      

 put it in slope intercept form y = mx + b  

y  = 4x − 5

HELP!!! Complete the function for this graph.

Answers

I believe the equation for this graph is: Y= |x- (-2)| + 3

Helpppp??? Plzzzz???

Answers

yes what do u need help in??!!

Help me please you will get 20

Answers

Answer:

3 pounds

                                                    1p+1p+1p=3p

Step-by-step explanation: 4p +2j +2j +2j =10pounds which is more than 8p

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