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.

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

Related Questions

2. please help me i will give brainliest if ur right

Answers

Answer:

Is this high school math or middle school?.

Step-by-step explanation:

a²+b² = c²

8²+2²

↓    ↓

64+4

   ↓

square root 68 and it should give you 8.24 and then you round.

tyler wants to buy a new television that costs $312.

Answers

Answer:

ummm is there more to the problem?!

Cool.... the question???

Factor 64u–40.
Write your answer as a product with a whole number greater than 1.

Answers

Answer: 8(8u-5)

Step-by-step explanation:

Find a number that goes into both 64 and 40 the GCF of both is 8 so 8 goes on the outside of the new factor 8u-5 because if we distribute back we should arrive at the original equation

8(8u-5)

Write the Algebraic expression for six more three times a number n

Answers

suppose that number is ( x ).

three time of it means : 3 × x

six more means : + 6

So;

Six more three times a number means :

3x + 6

Thus, f ( x ) = 3x + 6

HELP ME TEST QUESTION!! A bar graph is shown below. What percent of owners chose dog as their favorite pet?

Answers

26 look at the graugh

Peter makes 15 dollars an hour and he spends 25 dollars a day on transportation and food. Write an expression to describe his spendings and earnings in a day, where h is the number of hours that Peter works that day

Answers

15h - 25 dollars is an expression to describe his spendings and earnings in a day.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Peter makes 15 dollars an hour, so if he works for h hours, he earns:

15h dollars

Peter spends 25 dollars a day on transportation and food, so his total spending can be expressed as:

25 dollars

Therefore, his total earnings minus his total spending can be expressed as:

15h - 25 dollars

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NO LINKS!!! PLEASE HELP!!

Answers

Answer:

stay calm

Step-by-step explanation:

stay calm

Which sequences are geometric? Check all that apply. –2, –4, –6, –8, –10, … 16, –8, 4, –2, 1 –15, –18, –21.6, –25.92, –31.104, … 4, 10.5, 17, 23.5, 30, … 625, 125, 25, 5, 1, …

Answers

Answer:

16,-8,4,-2,1

-15,-18,-21.6,25.92,-31.104...

625,125,25,5,1

Step-by-step explanation:

Answer: 16, –8, 4, –2, 1. has a common ratio,r = (-1/2)

-15, –18, –21.6, –25.92, –31.104 has a common ratio, r = (1.2)

625, 125, 25, 5, 1 has a common ratio, r= (1/5)

Step-by-step explanation: just took the test

The cost of a car rental is ​$40 per day plus $0.22 per mile. You are on a daily budget of ​$84. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other​ two-step inequalities with the same solutions.

Answers

Answer:

200 miles

Step-by-step explanation:

Given data

cost of car rental per day= $40

cost per mile= $0.22

We are told that the budget is $84

The expression for the total cost is given as

y= 40+0.22x

where x = the distance travelled

now for y=$84, by substituting we can get x

84=40+0.22x

84-40=0.22x

44=0.22x

divide both sides by 0.22

x= 44/0.22

x=200

Hence the distance that $84 will go is 200 miles

picture included !

Find the solution to the system
of equations.

Answers

The solution is we’re the two lines cross which is (0,1)


(05.07 HC)
A student is assessing the correlation between the number of workers in a factory and the number of units produced daily?

Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)

Answers

Answer:

a) yes, because they both increase by the same increments each time. Tis can be represented by the equation y=5x+2

b) y=5x+2

c) The y-intercept represents the amount of units there were initially and the slope represents the amount of units for every worker.

The graph of a system of equations is
shown below.

a. (2,0) and (0,3)
b. (-40,-50)
c. the system has no solution
d. the system has infinitely many solutions

Answers

Answer:

The system has no solution.

Step-by-step explanation:

In order for the system to have a solution, both graphs must have an intercept to each others. We see in the picture that both graphs are parallel and do not have any interceptions which we don't know the solution to the system.

That means if graphs are parallel and have no interceptions, there are no solutions. The system of equations are for finding the interceptions of both graphs. But of course! Parallel lines do not intercept.

If you have any questions, feel free to ask.


I need help on this. ​

Answers

g = 2
:::::::::::::::::::

Please help me, i'm so confused

Answers

9514 1404 393

Answer:

  (d)  512√3

Step-by-step explanation:

The area (A) of a regular hexagon can be computed from its side length (s) using the formula ...

  A = (3√3)/2·s²

Here, the side length is given as ...

  s = 32√3/3 = 32/√3

Then the area is ...

  [tex]A=\dfrac{3\sqrt{3}}{2}\cdot\left(\dfrac{32}{\sqrt{3}}\right)^2=\dfrac{3\sqrt{3}\cdot1024}{2\cdot3}=\boxed{512\sqrt{3}}[/tex]

The area of the hexagon is 512√3 square units.

Which event is less likely to occur:
Event A: The product of the numbers 2 dice land on being less than 11. (Hint: the
product is when you multiply 2 numbers together).
Event B: Selecting a number at random from 1-30, inclusive, which has at least one
digit being 2.

Answers

Answer:

event a because you have more out comed multiplying numbers than a set of numbers

Verify the equation: (sin x + cos x)(tan x + cot x) = sec x csc x

Answers

Answer:

The equation (sin(x) + cos(x))(tan(x) + cot(x)) = sec(x)csc(x) is not solvable because the two sides are not equal.

What is the solution set for -4m ≥ 96?

Answers

Answer:

m [tex]\leq[/tex] 24

Step-by-step explanation:

-4m ≥ 96

(divide both sides by -4)

m [tex]\leq[/tex] 24

(sign flips because dividing by a negative)

80% of grade 8 students, that is, 60 students want a new ice-cream shop in the
cafeteria. The total number of grade 8 students are?

Answers

Answer:

48

Step-by-step explanation:

60 students X 80%=48

20% is 12 students

40% is 24 students

60% is 36 students

so on and so forth.

Answer:

48.

Step-by-step explanation:

.80 x 60 = 48

Determine the domain and range in the function, f(x)=abx
f(x)=ab^x , when a =1/4 and b=16.

Answers

The domain is infinite and the range is 0 (possibly infinite as well).

Compare the dimensions of the prisms. How many times greater is the surface area of the purple prism than the surface area of the red prism?​

Answers

Answer: 3 times greater

Step-by-step explanation:

Height: 4x3=12

Length: 3x3=9

Width: 3x3=9

The sides on the red cuboid times by 3 equals the sides on the purple one.

Hope this helps :)

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions? Explain.

Answers

Answer:

Step-by-step explanation:

1/5 + 1/5 = 2/5

1/7 + 1/7 = 2/7

1/3 + 1/3 = 2/3

There are an infinite number of these fractions. They must be 1 and 1 in the numerator, and the denominator must be relatively prime  to 2. The examples I have picked are prime in the denominator, but the rule is not without many exceptions. For example

1/9 + 1/9 = 2/9

I don't think you can pick an even denominator because it will reduce when put with two.  Oh wait 2/18 + 2/18 = 4/18 = 2/9 But these could be reduced before adding. Still, it might count. It depends on who is marking the question.

What about an odd and even denominator?

1/9 + 1/18 = 3/18 = 1/6  There must be something that works, but I can't come up with an example.

what is the volume of each cylinder with a radius of 2.7 cm and a height of 5 cm​

Answers

Answer:

114.51

Step-by-step explanation:

I'm not to sure what you meant by 'each' so I solved it like there was only one cylinder. hope this helped

1. What is 5,509 rounded to the thousands place?
А
6,000
B
5,500
5,600
D
5,000

Answers

The answer is a. 6000
Your answer would be A

Because the number before the 5 in the thousands place is equal to or greater than 5. Making it round up.

BRAINLIST. BRAINLIST. BRAINLIST. PLS HELP.

Answers

I’m sorry I just need points lol

Answer:

Mild- 5x=50 4x=40  

Medium- 90- 48=42, 42/2=21 so, 2x=21    

Spicy- 90-25=65, 65+18=83

Step-by-step explanation:

I'm gonna guess that this is the angle measurement so.....

Solve the system using elimination.

Answers

Answer:

x = 6

y = 4

Step-by-step explanation:

5x - 7y = 2

x - 7y = -22 (Multiply by -1)

-x + 7y = 22

5x - 7y = 2

4x = 24

x = 6

x - 7y = -22

6 - 7y = -22

-7y = -28

y = 4

1%
The positions of towns A, B and C are shown in the scale diagram below.
.B
.
A
Scale: 1 cm represents 10 miles
Ismael's house is the same distance
from town A and town B.
His house is exactly 20 miles from town C.
Use the x tool to show all the possible positions of Ismael's house.
You must show all your construction lines.
[5]

Answers

There are no possible positions for Ismael's house.

In this case, we need the following geometrical constructions:

1) Given that Ismael's house has the same distance from towns A and B, we must create a line segment between A and B and perpendicular line passing through the midpoint of line segment AB.

2) Since Ismael's house is 20 miles away from town C, we must create a circle centered at C.

All possible positions of Ismael's house are the set of points where both the perpendicular line and the circle intercepts each other. After making all operations defined above, we conclude that there are no possible positions for Ismael's house.

We kindly invite to check this question on line segments: https://brainly.com/question/23297288

what is the area of a semicircle that has a radius of 30 feet

Answers

Answer:

A = 1413.72 unit²

Step-by-step explanation:

area of a semicircle formula: A = (πr²)/2

To find the area of a semicircle that has a radius of 30 feet, apply r = 30 to the formula A = (πr²)/2:

A = (π30²)/2

A = 1413.72 unit²

Find the value of a and b when x = 10
5x2
2
2x²(x - 5)
10x

Answers

Step-by-step explanation:

If x=10

2(10)²(10-5)

200 × 5

=1000

10x=10(10)

=100

f(x) = x^2 + 4x-12
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?

Answers

Answer:

a) x-intercepts at -6 and 2

b) y-intercept at -12

c) minimum at (-2, -16)

Step-by-step explanation:

Quadrilateral PQRS is a rectangle. Describe the error in finding the value of x

Answers

Answer:

∠PSR=90°

m∠QSR= 90-m∠QSP

x= 90-58=32°

Step-by-step explanation:

The actual value of the x is 32°.

What are Quadrilaterals?

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

Given quadrilateral is a rectangle.

All the four interior angles of a rectangle is perpendicular angle or is 90 degrees.

So measure of ∠PSR = 90°

m ∠QSR + m ∠QSP = 90°

Given that m ∠QSP = 58°

Substituting,

m ∠QSR + 58° = 90°

m ∠QSR = 90° - 58°

              = 32°

So x° = 32°

Hence the error is that both the angles are made to be equal instead of making the sum of the angles equal to 90°.

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