a hiker goes 6 miles east and then turns south. if the hiker finishes 7.2 miles from the starting point. how far south did the hiker go?

Answers

Answer 1

Answer:

1.2

Step-by-step explanation:

You have to subtract 7.2 - 6 = 1.2

Answer 2

East and south direction motion are perpendicular to each other. The hiker went approx 4 miles in south.

How are directions related?

East or west are perpendicular (forming 90° ) to north or south directions.

North is 180° to south, and east is 180 degrees to west.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB.


Considering the diagram attached below, we deduce that the triangle ABC is right angled triangles, and thus, its sides' lengths will follow Pythagoras theorem.

The movement the hiker did in the south direction is the length of the side BC, denoted by |BC| = x miles (assume)

Then, by applying Pythagoras theorem, we get:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\(7.2)^2 = 6^2 + x^2\\51.84 = 36 + x^2\\\\\text{Subtracting 36 from both the sides and taking root, we get}\\\\x = \sqrt{15.86} \approx 3.98 \approx 4 \: \rm miles[/tex]

(took positive root since distance is a non-negative quantity)

Thus, the hiker went approx 4 miles in south.

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

A Hiker Goes 6 Miles East And Then Turns South. If The Hiker Finishes 7.2 Miles From The Starting Point.

Related Questions

i’d appreciate if someone would help me here:-)

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Answer:-4

Step-by-step explanation:

plzz hurryyyy its for my mathhhh classss

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Answer:

A

Step-by-step explanation:

4x+2 = 10

=> 2x+2 = 10-2x

Is v = 0.5 a solution to this equation?
2.28 = 4.56v

Answers

Answer:

Step-by-step explanation:

Yes.  Substituting 0.5 for v in 2.28 = 4.56v yields 2.28 = 2.28.

uh someone help D:
ill make the points high

Answers

Answer:

m = 18/4 = 9/2 = 4.5

Step-by-step explanation:

Notice that the line passes through (0, 0) and (4, 18).  Thus, its 'rise' is 18 - 0, or 18, and its 'run' is 4 - 0, or 4, and the slope (which is the desired constant of proportionality) is m = 18/4 = 9/2 = 4.5             This is Answer B

The rectangular prism has a volume of 936 cubic inches. Write and solve an equation to find the missing dimension of the prism.

Answers

Answer: Solution in photo

Name the decimal and fraction for R on the number line.
Click the icon to view the number lines.
The decimal is 1.
The fraction is

Answers

i can’t see the picture

What is the area of this triangle in the coordinate plane? 5 units 6 units 7 units 12 units? ​

Answers

Answer:

6 units

Step-by-step explanation:

Using readings taken from the coordinate upon which the triangle is drawn :

The area of triangle is given as :

Area of triangle = 0.5 * base * height

The base of the triangle = 4 units

The height of the triangle = 3 units

The Area of the triangle is thus :

0.5 * 4 * 3

0.5 * 12

= 6 units

Answer:

The area of the given triangle is 6 units²

1
Find the length s of the arc of a circle of radius 9 feet subtended by the central angle
3
radian
s (arc length) =
feet

Answers

Answer:

27.0 feet

Step-by-step explanation:

Length of an arc (s) = 2πrθ/360................. Equation 1

Where r = radius of the circle, θ  = angle in degree substends by the arc at the center of the circle.

From the question,

Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°

Constant: π = 3.14

Substitute these values into equation 1

s = 2(3.14)(9)(171.89)/360

s = 9715.2228/360

s = 26.99 feet

s ≈ 27.0 feet

the circumference is about ___ m

use 3.14 for pi.​

Answers

The circumference is:

14.6 x 3.14 = 45.844 (m)

Answer:

c = 45.8 m

Step-by-step explanation:

The diameter of this circle is 14.6 m.  The formula for the circumference of a circle of diameter d is πd.  Here, using 3.14 for π, C = (3.14)(14.6 m), or

C = 45.8 m

which equation has no real solutions?

2x²+2x+15=0

2x²+5x-3=0

x²+7x+2=0

x²-4x+2=0​

Answers

Answer:

A

Step-by-step explanation:

x=

−b±√b2−4ac

2a

x=

−(2)±√(2)2−4(2)(15)

2(2)

x=

−2±√−116

4

and there is really no solution

The width of a rectangular shed is 8 feet, and its length is 14 feet. Three of these expressions equal the perimeter of the garden, in feet. Which expression does NOT?

Answers

Answer:

That one

Step-by-step explanation:

It's kinda obvious if you look at the choices.

Answer:

8+14

Step-by-step explanation:

A local fast food chain had revenue represented by the polynomial 6x ^ 2 + 5x - 8 for one fiscal year and expenses for that same fiscal year represented by the polynomial 4x ^ 2 - 3x + 7 7. What was the company's profit for the fiscal year?

Answers

Answer:

2x^2+8x - 16

Step-by-step explanation:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

Given

R(x) = 6x ^ 2 + 5x - 8

C(x) = 4x ^ 2 - 3x + 7

P(x) = 6x ^ 2 + 5x - 8-(4x ^ 2 - 3x + 7)

P(x) = 6x ^ 2 + 5x - 8 - 4x ^ 2 + 3x - 8

Collect the like terms;

P(x) = 6x^2-4x^2+5x+3x-8-8

P(x) = 2x^2+8x - 16

Hence the company's profit for the fiscal year is 2x^2+8x - 16

using the equation y=x , what would be the value of y if the value of x is 2

Answers

Answer:

y = 2

Step-by-step explanation:

y = x

x = 2

Plug in the given value.

y = (2)

This is already simplified.

Therefore, when x = 2, y = 2.

Hope this helps!

What solid figure is shown below?

Answers

Answer:

rectangular prisim

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

rectangle shaped box

what is 2 divided by 1/2

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

to me when you divide with a farction it already is divsion but when u use it in divson i make nubmer bigger (if it's the 2nd number ) so thats way 2÷1/2=4

Find the volume of the cylinder. Round your answer to the
nearest tenth.
WILL GIVE BRAINLY

Answers

Answer:

7 cm

Step-by-step explanation:

10 mm = 1cm

All you need to do is add 10mm + 6cm.

10mm = 1cm

So, 6cm + 1cm.

Therefore, it equals to 7cm.

Answer:

471.2 cm cubed

Step-by-step explanation:

The formula for the volume of a cylinder is:

π*radius squared*height

The diameter is the distance across the circle.

10 mm is the same as 1 cm

The radius is half of the diameter.

1/2=.5

Radius=.5 cm

Height=6 cm

Plug the numbers in.

.5 squared is .25

π*(.25)(6 cm)

Volume=4.71

Rounded to the nearest tenth:

Volume=4.7 cm cubed

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

Answers

Answer:

Cosec <F = 73/55

Step-by-step explanation:

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

First you must know that;

Cosecant <F = 1/sin<F

Given

∠G=90°, GF = 48, EG = 55, and FE = 73.

ED ,= hyp = 73

EG = opp = 55*side facing <F

Using DOH CAH TOA

Sin theta = opp/hyp

Sin <F= 55/73

Reciprocate both sides

1/sinF = 73/55

Cosec <F = 73/55


ANSWER ASAP! DUE TODAY
5. Find the measure of arc AC.
Find mAC
A) 52
B) 72
C) 92
D) 112

Answers

Answer:

A.   52°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

m∠B = 1/2 (m of arc AC)

26 = 1/2 (m of arc AC)

52 = (m of arc AC)

I need this done, please I need to pass these six weeks! Thanks

Answers

For page 1:
4. H
5. B
6. F, G and H

Enter the fraction using tenths and the decimal by the model.

Answers

Answer:

The fraction would be 5/10 or 1/2 and the decimal would be 0.5

Step-by-step explanation:

5 are shaded in out of 10 so that shaded part would be 5 out of 10 or 5/10. Same goes for the decimal, 5 are shaded which means that is 5 tenths or 0.5.

I hope this helps!

A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few years. Write an equation representing the relationship, where x is time in years, and y is the number of songs available.​

Answers

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

Please Help With This Question?!?

As a cold front moved in the temperature dropped
3 degrees Fahrenheit each hour for 6 hours. What
was the total temperature change after 6 hours? Will your answer be positive or negative?

Answers

Answer:

Step-by-step explanation:

negative

Rewrite the equation below in Graphing Form:
2.
y = x2 8x + 31

Answers

Answer:

y=x^28x+31

Step-by-step explanation:

Answer:   y= x 4 − 6 y = 1 x − 2

Step-by-step explanation:

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Answer:

X is equal to 15

Step-by-step explanation:

Vertical angles are equal to each other so just make the two equal to each other and solve, If you need to find what each angle is just substitute x with 15

What is the best definition for “sample” as used in statistics?
the entire population of the group
a part of the population that represents the entire population
the difference between the maximum and minimum values observed
a measure of how much the values within a population vary

Answers

Answer:

a part of the population that represents the entire population

Step-by-step explanation:

Answer:

I think it is the second option

I hope it helps you  

PLEASE HELP!!!
I’ll give 40 points!!!

Answers

Answer: c is the correct opcion

A triangle with a perimeter of 139 units is dilated by a scale factor of 1/4. Find the perimeter of the triangle after dilation. Round your answer to the nearest tenth, if necessary.​

Answers

Answer:

173.8 units

Step-by-step explanation:

If it's asking for a

139 * 1/4= x

34.75= x

34.75 + 139= 173.75

round to get 173.8

(x – 6)2 = y + 7, find the vertex.

Answers

Would be the answer 16

How many inches is 9 Yards Have

Answers

Answer:

324

Step-by-step explanation:

1 yards = 36 inches

36 x 9 = 324


[tex] \sqrt{39} [/tex]
Please help me to find the answer of square root 39
plz​

Answers

Answer:

hi dear friend the answer is 6.245. hope that helps it has been a pleasure to help you can always look out for me if you have a math problem.

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