A man travels at 42 degrees northwest, and ends up 8.5 miles west of his starting point. How far did he travel?

Answers

Answer 1

Answer:

The man traveled 12.70 miles.

Step-by-step explanation:

We can find the distance traveled by the man knowing:

[tex]d_{W}[/tex]: the distance at the west = 8.5 miles

[tex]\theta_{NW}[/tex]: the northwest angle = 42°

Then by using the following trigonometric identity we have:

[tex] sin(\theta) = \frac{d_{W}}{d_{NW}} [/tex]

[tex] d_{NW} = \frac{d_{W}}{sin(\theta)} = \frac{8.5 miles}{sin(42)} = 12.70 miles [/tex]

Therefore, the man traveled 12.70 miles.

I hope it helps you!                                    


Related Questions

write 50 cm as a fraction of 2 m
give your answers in its simplest form

Answers

Answer:

25c

Step-by-step explanation:

A twelve pack of Orange Crush is priced at $3.00. What is the unit rate or the price per soda?

Answers

Divide price by quantity:

3.00 / 12 = $0.25 per can.

Look at the equation below. It is incomplete. What number should go in the space? Give your answer as a decimal, not a fraction.

Answers

Answer:

as always o.5

Step-by-step explanation:

Which price choice has the lowest unit price per ounce?

Choice A: 6 ounces of raisins for $2.98 Choice B: 13 ounces of raisins for $7.18

Select one:

a. Choice A

b. Choice B

c. The unit rates are equal

d. The unit rates cannot be determined


NEED ANSWERS ASAP!!! TODAY.

Answers

2.98 divided by 6 is .4966
7.18 divided by 13 is .55
So it’s choice a

Consider the system of equations. y = –x + 3 y = –x – 3 The graph of the first equation is shown by the orange line. On a coordinate plane, an orange line goes through points (0, 3) and (3, 0). What is the slope of the orange line? If the second equation was drawn on the same graph, what would be its slope? If the lines of both equations were shown on the same graph, they would . The system of equations has .

Answers

Answer:

Step-by-step explanation:

Answer: The answers are -1, -1, be parallel, and no solution.

Step-by-step explanation: I got it correct on Edge, hope this helps!

original price of a pen:$1.50
tax:4%​

Answers

Answer:

$1.56

Step-by-step explanation:

1.50 times 0.04 is 0.06

1.50+0.06

$1.56

Answer:

ANswer is $2.10.

Step-by-step explanation:

The tax is $.60 and you add that to $1.50.

PLEASE HELP ME IM DESPERATE!

Answers

Answer:

Slope = 3

Step-by-step explanation: If Wyatt is at (0,0), and the kite is at (24,72), then you use the slope formula:

(72-0) / (24-0)

72/24

3

slope 3 it just is to be honest

Seth grew 12 flowers with 2 seed packets. How many seed packets does Seth need to have a total of 18 flowers in his garden? Solve using unit rates. plzz help me

Answers

12 18
— X — cross multiply and you get x=3
2 x

convert unit rate 12yd/min = ft/s

Answers

Answer:

12 yards per second = 36 feet per second

Formula: multiply the value in yards per second by the conversion factor '3'.

So, 12 yards per second = 12 × 3 = 36 feet per second.

Step-by-step explanation:

To calculate a yard per second value to the corresponding value in ft/s, just multiply the quantity in yd/s by 3 (the conversion factor).

Here is the formula:

Value in ft/s = value in yd/s × 3

Suppose you want to convert 12 yd/s into ft/s. Using the conversion formula above, you will get:

Value in ft/s = 12 × 3 = 36 ft/s

PLEASE HELP ME!!!
A roller coaster climbs to a height of 248m before it goes into an underground tunnel that is 16m below ground. What is the height difference between the highest point and the lowest?
A) -232
B) -264
C) 264
D) 232

Answers

Answer:  C) 264 meters

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

Explanation:

Draw a vertical number line. Mark the values 248, 0, and -16 on the number line. The negative value is to indicate it is below 0, while the positive number is above 0.

The distance from 248 to 0 is 248 units. Let A = 248.

The distance from 0 to -16 is 16 units. Let B = 16

The total distance mentioned so far is A+B = 248+16 = 264

So basically if we start at the highest point (248) and go to the ground level, we traveled 248 meters. Then we travel another 16 meters to go from ground level to the lowest point (-16) leading to a total of 248+16=264 meters in total distance from highest to lowest point.

What is the approximate percent change in a temperature that went down from 120 degrees to 100 degrees?
A. The percent change is approximately 17%.
B. The percent change is approximately 20%.
C. The percent change is approximately 80%.
D. The percent change is approximately 120%.

Answers

Answer: you answer is A hope that helped

Step-by-step explanation:

I thought the answer is B,but I’m not sure

PLS HELP! 30 POINTS AND BRAINLIEST!!!

Answers

Answer:

C. m<1 + m<5 = 180  (reason: they are consecutive angles, and should be congruent)

Answer:

C. m<1 + m<5 = 180

Step-by-step explanation:

If the red square has an area of 200 square centimeters and the green square has an area of 60 square centimeters, then was is the area of the yellow square?

Answers

Answer:

140

Step-by-step explanation:

You want the area. You do not have to take the square root. First of all you have to assume this is a right angle triangle.

c^2 = b^2 + a^2

c^2 = 200

b^2 = 60

a^2 = ?

200 = 60 + a^2

200 - 60 = a^2

a^2 = 140

How much force is needed to accelerate a 90 kg skier 2 m/s2?
options
92 N
180 kg/ms2
180N
45 kg/ms2
subject-science

Answers

Answer:third one

Step-by-step explanation:

The amount of force needed to accelerate 90 kg skier to 2 meters will be 180 N.

What is a force?

A force is defined as the external agent applied to the objects to displace them from one position to another position or to stop the motion of the object. The unit of measurement of the force is the newton.

Given that the weight of the object is 90 kg and the distance to be displaced is 2 meters. The amount of the force will be calculated as below:-

Force = Mass x Acceleration

Force = 90 x 2

Force = 180 Newton

Therefore, the amount of force needed to accelerate 90 kg of skier to 2 meters will be 180 N.

To know more about force follow

https://brainly.com/question/25573309

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Given f(x) = 4 - 3x, what is the value of f(-5)?

Answers

Answer:

Step-by-step explanation:

If f= 4 and x=3 then you times 4 times 5 equals 20

what is the meaning of divisor

Answers

Answer:

Were a number is divided by another.

Answer:

look it up but I learned this. A divisor - I forgot but here, the Web told me:

divisor

[dəˈvīzər]

NOUN

mathematics

a number by which another number is to be divided.

a number that divides into another without a remainder.

"the greatest common divisor"

HOPE I HELPED!

12). *
A radio transmission tower is 150 feet tall. How long should a guy wire be if it is to be attached 5 feet from
the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.
a.159.6 ft
c. 154.3 ft
b. 424.0 ft
d. 438.6 ft

Answers

The correct answer would be the first one

Option b is correct, the length of the guy wire should be 424.0 feet.

Let us denote the length of the guy wire as "x."

We can form a right triangle using the height of the tower, the distance from the top to where the guy wire is attached (5 feet), and the length of the guy wire (x).

In the right triangle, the sine of the angle is defined as the ratio of the opposite side (height of the tower - 5 feet) to the hypotenuse (length of the guy wire).

sin(20°) = (height of the tower - 5 feet) / x

To find x, we can rearrange the equation as follows:

x = (height of the tower - 5 feet) / sin(20°)

Substituting the given values:

x = (150 feet - 5 feet) / sin(20°)

x = 145 feet / 0.3420

x = 424.2 feet

Hence, the length of the guy wire should be approximately 424.0 feet.

To learn more on trigonometry click:

https://brainly.com/question/25122835

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Is this true if yes why/if not why not, give reason.
Z^2+z+z=3z^2

Answers

Answer:

i am not sure

Step-by-step explanation:

Mealworms are a healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for 8.75. Marco buys a 3.75 oz container of mealworms for 9.75. Which container is the better deal (Connect Ratios, Rates, and Unit Rates)

Answers

Answer:

Adam's container

Step-by-step explanation:

Adam's: 8.75/ 3.5 = 2.5

Marco's: 9.75/ 3.75 = 2.6

= 2.5

PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.

Answers

Answer:

ok it has to be c baceau it loooks like it

Step-by-step explanation:

In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

(7x-49x^2)/(7x) can smeone solve this? Thank you! I hope you have a great day!

Answers

Answer:

x = 1/7

Step-by-step explanation:

[tex]\frac{(7x-49x^2)}{7x}\\\\\frac{7x(1-7x)}{7x} \\\\1-7x=0\\\\1=7x\\\\[/tex]

x = 1/7

A recipe for cooking turkey states to cook the turkey 15 minutes per pound. Add an additional 5 minutes per pound if the Turkey is stuffed. Our turkey is 16 pounds and will be stuffed. We plan to eat at 1:00 PM. Allow 30 minutes for cooling and carving. What time does the turkey have to be put in the oven?

Answers

Answer:

The turkey has to be put in the oven at 7:10 AM.

Step-by-step explanation:

We have:

Turkey stuffed with 16 pounds

Since the time of cooking is 15 minutes per pound with an addition of 5 minutes per pound when the turkey is stuffed, hence we have:

[tex]T = 16 pounds*15 \frac{min}{pound} + 5 \frac{min}{pound}*16 pounds = 320 min = 5 h + 20 min[/tex]

Therefore, the total time of cooking is 320 minutes or 5 hours plus 20 minutes.

If they plan to eat at 1:00 PM with 30 minutes for cooling and carving, then:

[tex]t_{o} = 13 h - 5.33 h - \frac{1}{2} h = 7 h + 10 min[/tex]

                                         

Hence, the turkey has to be put in the oven at 7:10 AM.

                                       

I hope it helps you!        

please help:( i’m not sure....

Answers

Answer:

B. 2 ÷ 11

I hope this helps!

Why might you solve this system of equations by adding or subtracting? Explain fully.

2x + 3y = 4
2x - 3y = 8

Answers

The answer is x=3 and y= -2/3
You can either add the equation to find x first or subtract to find y first
Either way it will work

fast I have 5 mins last question has 2 parts

Answers

Answer:

x = 1

Step-by-step explanation:

3(2) = [tex]\sqrt{4^{2} + 20 x }[/tex]

6=[tex]\sqrt{16+20 x}[/tex]

square both side

36 = 16 +20x

20 = 20x

x= 1

PLEASE HELP ME I DONT KNOW THE ANSWERR

Answers

I can’t see the question bro
Let u = x^(1/3)

Then,

u^2 - 6u - 27 = 0

(u-9)(u+3)=0
u = 9, u = -3

Substitute back

X^(1/3) = 9
(X^(1/3))^3 = 9^3
X = 729

And
X^(1/3) = -3
(X^(1/3))^3 = -3^3
X = -27

Write the equation of the line represented by the table below. Thank you anyone for helping!

Answers

Answer:

  A.   y = -3x + 5

Step-by-step explanation:

Use any two points to find slope, let's use (-2, 11) and (4, -7):

  slope m = (y₂ - y₁) / (x₂ - x₁)

                = (-7 - 11) / (4 - (-2))

                = -18 / 6

            m = -3

Use above slope and any one point to find y-intercept, let's use (10, -25):

  y = mx + b

  -25 = -3(10) + b

  -25 = -30 + b

  b = 5

Use m and b above to form equation of line:

  y = mx + b

  y = -3x + 5

Which of the following correctly demonstrates a verb tense shift? a. Kurtis is moving to a new city to start the job he was hired for. b. Kurtis moved to a new city and is started the new job he was hired for. c. Kurtis moved to a new city to starting the job he was hired for. d. Kurtis will be moving to a new city to started the job he was hired for. D is wrong

Answers

Answer:  a. Kurtis is moving to a new city to start the job he was hired for.

Step-by-step explanation: "is moving"  is present progressive tense.

"was hired"  is passive past tense.

"to start" is an infinitive.

These are correct verb forms.

b is almost correct. Kurtis "moved" is OK  in the past tense. *is started* should be "has started"

c  is partly correct.  *to starting* is ungrammatical here.

d  is wrong because *to started* is always ungrammatical.

The cost of a new math textbook and a study guide together is $58. Three of the math textbooks and two study guides cost $165. How much does one textbook alone cost?

Answers

Answer:

Cost of one textbook = $49

Step-by-step explanation:

Given:

Cost of 1 textbook and 1 study guide = $58

Cost of 3 textbook and 2 study guide = $165

Find:

Cost of one textbook

Computation:

Assume,

Cost of one textbook = a

Cost of one study guide = b

So,

a + b = 58

b = 58 - a

3a + 2b = 165

3a + 2(58-a) = 165

3a - 2a + 116 = 165

a = 49

Cost of one textbook = $49

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