A hawk takes flight from a mountain peak and flies 800 meters west. Then it takes a turn and flies 200 meters south. What is the distance and direction of the hawk from the mountain peak?

Answers

Answer 1

Answer:

the hawk has flow 824.62 meters southwest of the mountain peak.

Step-by-step explanation:

In order to find the distance we need to use the Pythagoras theorem

d^2 = 800^2 + 200^2

d= 824.6 m

we can find the direction by using the eq for a tangent

he opposite side is 200 m and the adjacent side is 800m

tan theta = opposite / adjacent

theta = arc tan (800/200)

The hawk is at a distance of 824.6m flying at an angle 76 degrees NE of the mountain peak.

The final location will be southwest of the mountain peek.

a2+b2=c2

a = 200

b= 800

c = √(2002+8002) = 824.62

So the hawk has flow 824.62 meters southwest of the mountain peak.


Related Questions

0.2
y is inversely proportional to V1+x.
When x=8, y = 2.
Find y when x = 15.

Please help me with this real quick!

Answers

Answer:

y = 1.5

Step-by-step explanation:

Given y is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is

y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of variation

To find k use the condition when x = 8, y = 2 , then

2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

6 = k

y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of variation

When x = 15, then

y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = 1.5

8j + 3-j=17
solve for J

Answers

First you have to combine like terms which you would combine 8j and j which would be 7j+3=17 then subtract 3 from 17 giving you 14. And after that your left with 7j=14 then divide 7 on both sides giving you 2 as your answer.
Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii it’s 2

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

your answer will be 9v+14

Step-by-step explanation:

have a nice day!!!

pls help i only have 10 minutes on my math test!!
the ratios are


8:5 ?????:10

Answers

Answer:

yes

Step-by-step explanation:

Answer: 16:10 i think

i need help i keel putting in the correct answer and it says it wrong

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

36cm^2

Step-by-step explanation:

12 x 4 = 48

9 * 4 =36

36/3 =12

48 - 12 = 36

what is 4/9 in the simplest form?

Answers

Answer:

it already is in simplest form

Step-by-step explanation:

4/9 is the simplest form. There is no way to simplify it further.

If this is incorrect, please, don't refrain to tell me. Thank you.

Simplify. Multiply and remove all perfect squares from inside the square roots. Assume z is positive. z* 30z2* 35z3

Answers

Answer:

[tex]5z^3\sqrt{42}[/tex]

Step-by-step explanation:

You can multiply and put everything under one square root to get [tex]\sqrt{1050z^6}[/tex]. You can take out [tex](5z^3)^2[/tex] from the square root to get [tex]\boxed{5z^3\sqrt{42}}[/tex]

please answer and show step. ​

Answers

Answer:

i believe the answer is 25.

Step-by-step explanation:

this is because if a=how much money deposited after  t= depositing weekly and 16 is being multiplied by t. that leads me to believe she deposits $16 weekly. therefore, her original deposit was $25.

tell me if this is incorrect.

Answer:

25

Step-by-step explanation:

In this equation, the original deposit was 25 dollars. The equation shows how much total money was in the account every week. It is written in slope-intercept form, which is y=mx+b, where m is the slope (how much the account is increasing each week) and b is the y-intercept (what was in the account after 0 weeks). This means 25 dollars must be the initial deposit because it is the total before any new weekly deposits.

i fr need help please find x ​

Answers

Answer:

14

Step-by-step explanation:

below is 12+2 which is the same size as the top one

Find the value of x.

Answers

Answer:

45 degrees

Step-by-step explanation:

Before we start, it is important to know that the sum of all angles of a triangle adds up to 180. Since one of the angle measure is already given to us, 90, we can subtract this from 180.

180-90=90

This tells us that the two remaining angles will add together to equal 90. In addition, it also tells us that the two remaining angles are equal. This means we can divide 90 by 2, and it leaves us that x= 45 degrees.

the angles inside a triangle = 180°.

You can see that this is a right triangle so one of the angles equals 90°. 180-90= 90°.

Now we can see the remaining two angles add up to 2x. So if we put all our work together 2x= 45°.
Divide both sides by 2 to get x alone

And we come to that x equals 22.5.

x= 22.5°

Ms. Murray has a collection of 25 dimes and nickels. How many nickels does Ms. Murray have if she has a total of $2.30?

Answers

four nickels,
because 1 dime=10¢ and so 21 x .10 = 2.10 and 1 nickel=5¢ so .05 x 4 = .20

2.10 + .20 = 2.30

I’m not sure if the explaining made sense but it’s 4 nickels :)

What is d = -12t + 96 ?

Answers

Answer:

t = 8 - 1/12d

Step-by-step explanation:

tell me if this is wrong

In circle A, ∠BAE ≅ ∠DAE.

Answers

Answer: the length of BE is 27

Factor completely:
x^3 - x^2 - 6x

Answers

Answer:

[tex]x(x-3)(x+2)[/tex]

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

[tex]GCF=x[/tex]

2. Factor out the GCF and simplify.

[tex]x(x^{2} -x-6)[/tex]

3. Factor [tex]x^{2} -x-6.[/tex]

Which two numbers add up to -1 and multiply to -6?

-3 and 2

Rewrite the expression using the numbers above.

[tex](x-3)(x+2)[/tex]

4. Done!

[tex]x(x-3)(x+2)[/tex]

Find the slope of the line
y = -5x + 5

Answers

Answer:

-5

Step-by-step explanation:

this is a y = mx + b equation. m is slope.

Answer:

-5

Step-by-step explanation:

When a linear function is in the form y=mx+b then m represents the slope of the line.

just need help with the way. thanks!

Answers

Answer:

KN ≈ 20.7 cm

Step-by-step explanation:

Using Pythagoras' identity in right triangle KLM to find KM

LM² = KL² + KM²

28² = 16² + KM²

784 = 256 + KM² ( subtract 256 from both sides )

528 = KM² ( take the square root of both sides )

[tex]\sqrt{528}[/tex] = KM

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

Using the sine ratio in right triangle KMN

sin64° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KN}{KM}[/tex] = [tex]\frac{KN}{\sqrt{528} }[/tex] ( multiply both sides by [tex]\sqrt{528}[/tex]

[tex]\sqrt{528}[/tex] × sin64° = KN , that is

KN ≈ 20.7 cm ( to 1 dec. place )

Ellie earns money by raking leaves. She earns $2.25 for each bag she fills with leaves. This week, she earns $24,75. How many bags of leaves does Ellie fill this week? Show your work.

Answers

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

24.75 divided by 2.25= 11

Estimate 72.91 + 67.526 by first rounding each number to the nearest whole number

Answers

Answer:

141

Step-by-step explanation:

First, you would round 72.91 to 73 because the number to the right of 7 is greater than or equal to 5, so you would round up. Same goes for 67.526. round both up to 73 and 68 then add. You would get an answer of 141 :)

Answer: 141

Step-by-step explanation: By rounding up to the nearest whole number, that is taking 72.91 -> 73. The reason it is this way is that when a decimal is past 0.5, you round up. If a decmial is below 0.5, then you round down.

In this specific situation, we get the numbers 72.91 and 67.526.

As I explained, the numbers would round up because both numbers decimal values are above 0.5.

So after 72.91 is 73, and after 67.526 is 68.

68 + 73 =

141

hopefully I helped!

The amount of money earned on a job is directly proportional to the
number of hours worked. If $70,00 is earned in 5 hours, how much money
is earned in 22 hours of work?

Answers

Answer:

$308 is the correct answer. Please refer to the attachment. If not able to understand then please let me know, I will resend it wih proper explanation. Hope it helps you. Thanks.

Joshua went to the grocery store and purchased cans of
soup and frozen dinners. Each can of soup has 200 mg
of sodium and each frozen dinner has 400 mg of sodium.
Joshua purchased a total of 10 cans of soup and frozen
dinners which collectively contain 2400 mg of sodium.
Write a system of equations that could be used to
determine the number of cans of soup purchased and
the number of frozen dinners purchased. Define the
variables that you use to write the system.

Answers

Answer:c + f = 10

200c + 400f = 2400

Step-by-step explanation:

Let's say c is the number of cans of soup and f is the number of frozen dinners.

The total number of items is 10:

c + f = 10

The total amount of sodium is 2400 mg.  Each can of soup has 200 mg, and each frozen dinner has 400 mg.

200c + 400f = 2400

The problem doesn't ask you to solve the system, but I'll solve it anyway.  We can use substitution or elimination.  But first, simplify the second equation by dividing both sides by 200.

c + 2f = 12

Using elimination, subtract the first equation.

f = 2

Plug into either equation to find c:

c = 8

There are 8 cans of soup and 2 frozen dinners.

CAN SOMEONE HELP ME Find the area and perimeter (or circumference) of each figure.

Answers

Answer:

6. P= 22ft

   A=30ft²

7. P= 37 ft

  A= 65 ft²

8. P= 36 ft

   A=81 ft²

Step-by-step explanation:

PLEASE HELP ME WITH THIS !!

Answers

3x3.5=10.5ft since 1 cm=3.5ft, and the car is 3cm
D) 10.5ft should be the correct answer

Due in 5 minutes!!!!!!

Answers

It is not clear at all

Answer:

Pls send a more clearer picture

Step-by-step explanation:

am i right ? i just need clarification

Answers

Answer:

yes!!

Step-by-step explanation:

Need help with geometry HW.

Answers

Answer MKL = 45

Step-by-step explanation: 51.5+38.5=90

Then divid 90 by 2 and you get 45

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Answers

Answer is 16 because 16/4 = 4 + -12 = -8

Answer:

m=16

Step-by-step explanation:

-8=m/4+(-12)

4=m/4

16=m

so first, you add 12 to the other side to cancel out the -12. 12-8=4. so now you have 4=m/4. to isolate the m, you have to multiply by 4 on both sides, which gives you 16=m or m=16.

i hope this helps :)

Complete the Area Model by dragging the response to the correct location/

Answers

Answer:

x2, 6x, 4x2

Step-by-step explanation:

Answer: x2 , 6x , 4x , 24 .

Step-by-step explanation: i got it wrong but it did tell me the correct answer !

.A radio station sends a signal in a circular
area with an 80-mile radius. Find the
approximate area in square kilometers that
receives the signal. (Hint: 1 square mile z
2.6 square kilometers)

Answers

Answer:

52,249.6

Step-by-step explanation:

25 points. Need help with this math question

Answers

Answer:

1 kilometer is 1000 meters

1 hectometer is 100 meters

1 dekameter is 10 meters

1 meter is 1 meter

1 decimeter is 0.1 meters

1 millimeter is 0.001 meters

Answer:

1 kilometer = 1000 meters

1 hectometer = 100 meters

1 dekameter = 10 meters

1 meter = 1 meter

1 decimeter = .1 meter

1 centmeter = .01 meter

1 milimeter = .001

Explanation:

You need to convert those units to other units, the most common way is to have a table with different factors. I would recommend the one of cm, mt, km, m/h. You can find those on internet.

10. Find the vertex, domain and range from the function y = = 2|x|
a V(2,0), Domain: x E R, Range: y E (00, 2]
b V(0,2), Domain: x E R, Range: y € [2,00)
C V(0,0), Domain: x E R, Range: y € (0,0]
d V(0,0), Domain: x E R, Range: y € [0, 0)
Check it
skip

Answers

The answer would be a-v(2,0),domain: x E R, Range: y E (00,2]
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