Two groups of bikers leave the same camp heading in different directions. Each group travels 4 miles, then changes direction and travels 1.4 miles. Group A starts due east and then turns 48° toward north. Group B starts due west and then turns 32° toward south. Which group is farther from camp?

1. Group A is farther from camp.
2. Group B is farther from camp.
3. Group A and Group B are the same distance from camp.
4. Not enough information is given.

Answers

Answer 1

Group B is farther from camp.

Answer 2

Group B is farther from camp in comparative to other Group A.

What is Direction Sense?

Direction sense ability is  to find one's way around easily in a new place a good/poor sense of direction.

Here, Distance travel together = 4 miles.

         After changing their direction distance covered by them = 1.4 miles.

       Group A turns 48⁰ towards north

    So, total distance covered by group A = 1.4 + 4 X sin 48⁰

                                                                    = 1.4 + 4 X 0.7341

                                                                    = 4.34 miles.

     Group B turns 32⁰ towards south.

Similarly, distance covered by group B = 1.4 + 4 X cos 32⁰

                                                                = 1.4 + 4 X 0.8480

                                                                = 4.79 miles.

Thus, Group B is farther from camp in comparative to other Group A.

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Related Questions

urgent !!! pls help!!!

Answers

Answer:

A

Step-by-step explanation:

they share the same angle of 61, AND the vertex angle meaning there are two angles that makes them similar

yes by AA

Because angle HGF=angle STF

and angle S H T =angle GHF

This figure is 1/4 of a circle.
What is the best approximation for the perimeter of the figure?
Use 3.14 to approximate pi.

A 4.7 cm

B 7.7 cm

C 10.7 cm

D 18.8 cm

Answers

Answer:

7.7

oof oof oof oof oof oof oof oof oof oof oof

Answer:

10.7

Step-by-step explanation:

Nancy bought a mobile phone marked at 720$ at a discount of 20 percent and she had to pay 5 percent tax. If Nancy had to put 20 percent of what she had to pay including tax as a deposit, how much money did she have to pay for the deposit?

Answers

Answer:

$120.96

Step-by-step explanation:

If there is a 20% discount, she would pay 80% of the price

o.80 x $720 = $576

If there is a tax of 5%, the price she pays increases by 5%

1.05 x 576 = 604.80

If she pays 20% deposit, she would pay

0.2 x 604.80 = $120.96

Determine whether the following is a statistical question.
How many teeth does Edna have in her mouth?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Statistical

(Choice B)
B
Not statistical

Answers

Answer:

Not statistical

Step-by-step explanation:

This isn't a statistical question because if you try to find out how many teeth are in other people's mouths you still won't know how many are in Edna's mouth because everyone is different. Hope this helps! :)

Subtract the rational expression 1/x^2-x-6 - x/x+2.

Answers

Answer:

Step-by-step explanation:

x² - x -6 = x²  + 2x - 3x - 3*2

            =x(x + 2) - 3(x + 2)

            = (x + 2 )(x - 3)

[tex]\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\[/tex]

                      [tex]= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\[/tex]

In the figure below, AB is a diameter of circle P.
What is the arc measure of major arc ABC in degrees?

Answers

Answer: 249

Step-by-step explanation: Khan Academy

Answer:

111

Step-by-step explanation:

GOT IT RIGHT!

find the domain of the function y=-e^x-3​

Answers

9514 1404 393

Answer:

  all real numbers

Step-by-step explanation:

The domain of any exponential function is "all real numbers."

  -∞ < x < ∞


a) Change 9 out of 50 to a percentage.​

Answers

Hey there! Your question’s answer would be 18%..

Ok so 9/50 would be 9% out of 50% which is also 100%. If you want to find 50% turn to 100%, multiply 50 with 2 to get 100.

So you do the same thing to 9%. 9 times 2 would be 18%.

Final Result: 9% out of 100% (whole)

9 out of 50 in percentage equivalent terms will be 18% .

Given, 9 out of 50 to a percentage .

Convert fractions to percentage.

Multiply fraction by 100 , the result will be in percentage .

Fraction = [tex]\frac{9}{50}[/tex]

Percentage equivalent

[tex]\frac{9}{50} \times 100\\= 18[/tex]

Thus the percentage equivalent is 18% .

Know more about fraction to percentage,

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PLS HELP DUE TODAY I GIVE BRAINLIEST

Answers

Step-by-step explanation:

1.) 5+x=20

20-5=x

15=x

2. 5×x=20

20÷5=4

x=4

3.)5÷20=x

0.25=x

hope this helps

please help with number 31 problem a and explain
:p

Answers

Answer: y=0.75x+5
Explanation: every apple cost $0.75 so you would put ‘x’ next to that, since this represents the number of apples purchased (which can be more than 1). 5 would be added at the end since the person only need to buy 1 tickets to enter.

1 point
Captionless Image
107(90.50)
101(90.50)
104+3(90.5)
104+263.50

Answers

I don’t get what your trying to ask

Solve for the variable: 6/25 = d/30

Answers

Answer:

d = 7.2

Step-by-step explanation:

We can cross multiply the equation to get:

6 * 30 = 25 * d

(* is multiplication sign by the way)

180 = 25d

Divide both sides by 25 to get:

d = 7.2

Suppose you had a telephone directory listing all the businesses in a city, alphabetized by type of business. If you wanted to phone 100 of them to get a representative sampling of opinion on some issue, how would you select which 100 to phone? Why would it not be a good idea to simply use the first 100 businesses listed

Answers

Answer:

Step-by-step explanation:

The best way to select the 100 phone calls would be to randomly select the same amount of phone numbers from each individual type of business. This would make sure that there are no bias choices and would be 100% representative of the overall business market in every single type of business. If you choose the first 100 phone numbers you are choosing from only a handful of the same types of business and leaving out a lot of other types of business. This makes it impossible for the information gathered to be representative of the entire market.

Answer:

best way to select the 100 phone calls would be to randomly select the same amount of phone numbers from each individual type of business. This would make sure that there are no bias choices and would be 100% representative of the overall business market in every single type of business. If you choose the first 100 phone numbers you are choosing from only a handful of the same types of business and leaving out a lot of other types of business. This makes it impossible for the information gathered to be representative of the entire market.

Step-by-step explanation:

hope  this helps

find the value of x! this is geometry

Answers

Answer:

it's v-33

Step-by-step explanation:

I just used cymath recommended

what does this equal​

Answers

In simplify the expression =
1.56 • 10^52 + 3.5 • 10^48

Simplify 5 - (-7) = 5+7

Answers

Answer:

12

Step-by-step explanation:

5 + 7 = 12

just follow the rule in the equation and further simplify

that's why you should get 12

hope this helps :)

Answer:

12

Step-by-step explanation:

5 - (-7) = 5 + 7 = 12

Select all expressions that are equivalent to 16x − 12 − 24x + 4 by showing your work & explain your reasoning. 1)40x - 16 2)4 - 12 - 4x + (- 4x) 3) 8x - 8 4)-8 (r + 1)

Answers

Answer:

4 - 12 - 4x + (- 4x)

-8 (x + 1)

Step-by-step explanation:

16x - 12 - 24x + 4

16x - 24x - 12 + 4

-8x - 8

1)40x - 16 = not equivalent

2)4 - 12 - 4x + (- 4x)

4 - 12 - 4x - 4x

-8 - 8x = - 8x - 8 (equivalent)

3) 8x - 8 (not equivalent)

4)-8 (x + 1) = - 8x - 8 (equivalent)

At the ski shack customers can rent skis snowboards boots and poles by the day. Ava is renting a snowboard. Lucia has her own skies but needs to rent boots

Answers

Answer:52s+30b

Step-by-step explanation:

trust me I took the quiz

plz help giving big bucks 50 points

Answers

Answer:

A

We can see that the graph is shaded to the left of -1. This means that x is all values less than (<) -1, so C and D are incorrect. Additionally, since the dot is not filled in, this means that x is not going to be equal to -1, which eliminates B. This leaves A, x < -1.

Step-by-step explanation:

is 1,2,3,4,5 domain or range?

Answers

Answer:

domain

Step-by-step explanation:

This is domain, as it is the complete set of values. Range would be the difference between the highest and the lowest value (5-1)

Which of the following is a true statement based on the graph shown?



R < Q
P > Q
R > S
R ≥ Q

Answers

Answer:

r >= Q

Step-by-step explanation:

THE LAST ONE

Answer:

r-q

Step-by-step explanation:

PLZ HELP ME ‼️‼️‼️‼️
How many tacos will he sell?

Answers

Answer:

Step-by-step explanation:

x + y =35

3x + 2y = 90

-3x - 3y = -105

 3x + 2y = 90

-y = -15

y = 15 tacos

x + 15 = 35

x = 20 sandwiches

20 sandwiches = x

15 tacos = y

how many perfect squares are divisors of 10

Answers

Answer:

0

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

We can stop here because the from here on forward they are bigger than 10 itself.

Please help me ASAP!​

Answers

Answer:

Range: 1 > x > 3

Step-by-step explanation:

We are given then function;

y = x³ - 6x² + 9x + 5

dy/dx = 3x² - 12x + 9

We want to find the range of values of x for which dy/dx > 0

Thus;

3x² - 12x + 9 > 0

Using quadratic formula, we have;

x = 1 and x = 3

Let's define the range;

try x = 0

3(0²) - 12(0) + 9 = 9

This is more than 0, so it is part of the solution.

Let's try x = 4

3(4²) - 12(4) + 9 = 9

This is more than 0 so it is part of the solution

Let's try x = 2

3(2²) - 12(2) + 9 = -3

This is less than 9 and so it's not part of the solution.

Thus the range of values of x for which dy/dx > 0 is;

1 > x > 3

Ryobi has a budget of $7200 for 80 chairs. They can buy leather chairs for $125 each, mesh chair for $100 each, and fabric chairs for $175 each. They want to have three times as many fabric chairs as leather chairs. How many of each chair should they buy?

Answers

Answer:

Step-by-step explanation:

Ryobi has a budget of $7200 for 80 chairs. They can buy leather chairs for $125 each, mesh chair for $100 each, and fabric chairs for $175 each. They want to have three times as many fabric chairs as leather chairs. How many of each chair should they buy?

Lauren took 12 hours to read a 360 page book use the unit rate to determine how many hours it will take her to read 150

HELPP PLEASEE

Answers

Answer:

360 divied by 2.4 = 150

Step-by-step explanation:

Graph y=4x-9
If you add explanation will give branliest

Answers

y = 4x-9

Answer : Slope = 4 because y = mx+b

Y- intercept = 9

Any line can be graphed using two points values, and plug them into the equation to find the corresponding values.

HOPE THIS HELPS!

4/8 is closest to which benchmark fraction

Answers

Answer:

It is closest to 1/2

Step-by-step explanation:

First you need to see if the fraction can be simplified or not. Thankfully this can, and we get 1/2.

Can whoever answers this answer one of the questions on my account I have like 20 minutes to answer them.

Answers

Answer:

What-

Step-by-step explanation:

Answer: What?

Step-by-step explanation:

Can some one answer quickly please

Answers

Answer:

the answer is A -1/3 x

Step-by-step explanation:

hope this helps :)

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