Heidi went on a hike and now needs to ride her bike back to her tent. She starts out by traveling 15 miles south. Then she turns and rides 8 miles east. How far is she from her starting position to her tent?

Answers

Answer 1

Answer:

17 miles

Step-by-step explanation:

If Heidi starts out by traveling 15 miles south, then y = -15 miles

If she then turns and rides 8 miles east, then x = +8miles

The distance from her starting position to her tent is gotten using the pythagoras theorem as shown;

d = √(-15)²+8²

d = √225+64

d = √289

d = 17miles

Hence her distance from her starting position to her tent is 17 miles


Related Questions

20 POINTS!!!
Write the algebraic expression or equation that represents the following word problem. **DO NOT EVALUATE OR SOLVE
Rene has a $50 gift card from a local coffee shop. Each day, he buys the same latte which costs $4.25. When will he have $11.75 left on his card?

Answers

Answer:

50-4.25x=11.75

Step-by-step explanation:

So first rene has 50 dollars and has 11.75 left eventually, so that indicates this is a subtraction problem. Also Rene buys a latte cost 4.25 dollars for a certain amount of days so let x represent amount of days and your equation should be 50-4.25x=11.75


Find the solution to the equation 30x +7= 9. Give
your answer as a fraction.

Answers

x = 1/15
hope this helps
30x+7=9
30x=9-7
30x=2
X=2/30
X=1/15

The Gamez family goes out for dinner and the price of the meal is $63. The sales tax on the
meal is 6.5% and they leave a 20% tip on the pre-tax amount. What is the total cost of the meal?

Answers

The total price for the meal is $79.69
20% of $63 is $12.6
And 6.5% of $63 is $4.09
$4.09+$12.6+$63=$79.69

WILL MARK BRAINLIEST!!! Solve the inequality - 3/4x + 6 > -3. x -2 x 12

Answers

Answer:

All real numbers

Step-by-step explanation:

 

Answer:

-3÷4x+6>-3×-2×12

-3÷4x+6>6×12

-3÷4x+6>72

-3÷4x+6-6>72-6

-3÷4x>66

-3÷4x×4x<66×4x

-3<264x

-3÷264<264x÷4

-0.01 (rounded)<x

Plzzzzz give me Brainliest!!!!!  

Determine the best method to solve the system of equations. x = 2y – 1 3x + y = 11
Please answer the best you can. Thanks

Answers

Answer:

Subsitution

Step-by-step explanation:

We have the equations:

x=2y-1

3x+y=11

The 3 methods of solving systems of equations are:

graphing

substitution

addition/elimination

Graphing involves graphing the two equations and finding their point of intersection, which is the answer

Substitution involves isolating one of the variables in one of the equations, then substituting the resulting expression into the other equation to find both numbers

Addition/Elimination involves adding the two equations together to clear a variable, solving for the other variable, and substituting the answer to the first variable in one of the equations to find the value of the cleared variable from before

Since we have x already isolated onto one side in the first expression, we can easily substitute it as 2y-1 in the second equation.

Therefore, substitution is the best method to solve this graph.

hope this helps!

Answer:

hi

Step-by-step explanation:

WILL MARK YOU BRAINLIEST

Answers

107 in the verse of 180 the whole turn will evaluate to 73.

Step-by-step explanation:

help me with maths please

Answers

Answer:

n=−2.5

improper fraction: 5/2

Step-by-step explanation:

Step 1: Flip the equation.

2n=0.176777

Step 2: Solve Exponent.

2n=0.176777

log(2n)=log(0.176777)(Take log of both sides)

n*(log(2))=log(0.176777)

n=

log(0.176777)

log(2)

n=−2.5

then just make it an improper fraction = 5/2

or a mixed number = 2 1/2

452.88 is 74% of what number? (Please show work)

Answers

Answer:

612

Step-by-step explanation:

To find this answer, you can invert the equation:

452.88 = 0.74x

x = 452.88 / 0.74

x = 612

The number 452.88 is 74% percentage of the number 612.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the number of 452.88 is 74%

Let x be the number

74/100×x=452.88

74x/100 = 452.88

Multiply both sides by 100

74x=45288

Divide both sides by 74

x=45288/74

x=612

Hence, 452.88 is 74% of the number 612.

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Jake is y years old. His grandma is 6 times his age. His cousin is 5 years older than him. a. Write an expression for each of their ages.

Answers

Answer:

y+5=c

6y=g

Step-by-step explanation:

C for cousin

G for grandma

Write the equation of the parabola with a focus at (-3, -5) and a directrix at y = -7.

Answers

Answer:

The directrix is negative so the equation will be

x^2=4ay

x=-3

y=-5

a=x^2/4y

a=(-3)^2 /4*(-5)

a=9/20

x^2=4*(9/20)*y

x^2=9/5y

Step-by-step explanation:

The directrix always determine the equation to use. It is also important to notice the sign(-+).

PLEASE HELP ITS DUE IN % MINUTES PLEASE

Find the percent of change. Round to the nearest tenth, if necessary.

The Smith's home was worth $102,500 in 2013 and $111,000 in 2014.

Answers

Answer:

I think the percent of change would be 850000%,

Step-by-step explanation:

You would do 111,000 - 102,500 to find the amount of leftover money. This equals 8,500, which would be 850000% in percentages.

Simplify: - 7a + 8 + 5a

Answers

Answer:

it is -2a+8 your welcome

-2a + 8

Hope this helps ^W^

I will give brainliest to the correct answer!

Answers

none of the above , <33

“George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks?”
Please help

Answers

Answer:

9 minutes

Step-by-step explanation:

Rate of George's blinking:

85 / 15 = 17 blinks in 3 minutes

so after 51 blinks, 51 / 17 = 3, 3 x 3 = 9 minutes

Analyze the diagram below and complete the instructions that follow.
X
459
3
45°
Find the value of x.
A V3
B. 3V2
2
2

Answers

Answer:

B.

y-Step-bstep explanation:

ok so

the triangle has 3 angle

45-45-90

one 45 points to x

that means the other side is also x

the 90 degrees points to 3

3=x√2

x=2.12132

The value of x in the given diagram is 3√2, Option C is correct.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle has 45-45-90 degrees.

We have to find the value of x in the given triangle.

The cosine function is ratio of the adjacent side by hypotenuse.

cos 45= 3/x

The value of cos 45 degrees is one divided by root 2.

1/√2 =3/x

Now apply the cross multiplication

x=3√2

Hence, the value of x in the given diagram is 3√2, Option C is correct.

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I need help hurry!!
Show ur work pls 5-10

Answers

Answer:

5. [tex]y=\frac{1}{3}x-3[/tex]

6. [tex]y=\frac{1}{4}x+4[/tex]

7. [tex]y=-5[/tex]

8. [tex]y=x+5[/tex]

9. [tex]y=\frac{-1}{2}x+6[/tex]

10.[tex]y=-4x+2[/tex]

Step-by-step explanation:

5. Slope = [tex]\frac{-1-0}{6-9}[/tex] = [tex]\frac{-1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

[tex]y=\frac{1}{3} x+b\\0=\frac{1}{3}(9)+b\\0=3+b\\b=-3[/tex]

6. Slope => [tex]\frac{2-6}{-8-8} = \frac{-4}{-16} = \frac{1}{4}[/tex]

[tex]y = \frac{1}{4} x+b[/tex]

[tex]6=\frac{1}{4}(8)+b\\6=2+b\\b=4[/tex]

7. Slope => [tex]\frac{-5-(-5)}{-4-7}=\frac{0}{-11} =0[/tex]

[tex]y=-5[/tex]

8. Slope => [tex]\frac{4-7}{-1-2} = \frac{-3}{-3} = 1[/tex]

[tex]y=x+b\\7=2+b\\b=5[/tex]

9. Slope => [tex]\frac{10-4}{-8-4} = \frac{6}{-12}= \frac{-1}{2}[/tex]

[tex]y=\frac{-1}{2}x+b\\4= \frac{-1}{2}(4)+b\\4=-2+b\\b=6[/tex]

10. Slope => [tex]\frac{14-2}{-3-0} =\frac{12}{-3} =-4[/tex]

[tex]y=-4x+b\\2=-4(0)+b\\b=2[/tex]

Check all of the temperatures that are within one
standard deviation of the mean.

Answers

Answer:

74 degrees 79 degrees

Step-by-step explanation:

or 6

Answer:

74 and 79 degrees

Step-by-step explanation:

i just did it

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer:

21/8

Step-by-step explanation:

KCF or keep change flip. keep 7/8. turn divide into multiply, then flip 1/3 to 3/1. 21/8 is what you get. Hope this helped!

Answer:

21/8

Step-by-step explanation:

Dividing by a fraction is like multiplying with the inverse:

So (7/8) / (1/3)

is the same as

(7/8) * (3/1) = (7/8) * 3 = 21/8

21/8 cannot be simplified, unless you find 2  5/8 simpler

Determine the sum of the solution to the equation
[tex](y - 3)(y + 2) = 0[/tex]

Answers

Answer:

jhvcvghvrxthrcftgv

Step-by-step explanation:

hkhvyyiytvhjh

Find the Slope

A horse has a speed of 10 miles pero hour. The horse has already 15 miles. how many miles will it travel in total if it rides for another 4 hours? ​

Answers

Answer:

55 Miles total

Step-by-step explanation:

Katherine went to dinner with her mother that same day of shopping. their total bill was $34.80. the sales tax is 6%. if they left a 25% tip, how much was their total bill?

Tax- ?

Tip- ?

How much was their total bill with tax and tip added(hundredths place)

Answers

Answer:

45.58

Step-by-step explanation:

Tax is 2.08

Tip is 8.7

Hope this helped

Help please !!!!!!!!!!

Answers

9514 1404 393

Answer:

b = 7c = 5

Step-by-step explanation:

Opposite sides of a parallelogram have the same length, so ...

  5b +5c = 60

  5b +4c = 55

Subtracting the second equation from the first, we get ...

  c = 5

Substituting that into the first equation, we have ...

  5b +5·5 = 60

  5b = 35 . . . . . . . subtract 25

  b = 7 . . . . . . . . . . divide by 5

The values b = 7 and c = 5 will make this a parallelogram.

WILL GIVE Brainiest

Write an expression equivalent to

X+5+2x+2

Answers

7+3x

I'm not sure but I just added like terms so

5+2 and 2x+x

Use elimination to solve the system of equations.
2x + 5y = 7
3x + 6y = 3

Answers

Answer:

(-9,5) or x = -9 and y = 5

Step-by-step explanation:

Hope this helps!

can y’all help me on this?

Answers

Answer:

Step-by-step explanation:

V=l*w*h

V=4* 2 1/2 * 3 1/2=4*5/2*7/2=35

Answer:

V=35

Step-by-step explanation:

V=Bh

v=volume

b=base(length & width)

h=height

V=(4)(2 1/2)(3 1/2)

V=(10)(3 1/2)

V=35

Megan bought a bicycle that cost $200.50 at a sporting good store. The sales tax
on the bicycle was 8%. How much did the bicycle cost with tax included?

Answers

Answer:

I believe it should be 216.54

Step-by-step explanation:

Multiply $200.5 by .08 (the tax) and then add the answer from the multiplication to the $200.5.

A percentage is a way to describe a part of a whole. The cost of a bicycle with tax included is $216.54.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given Megan bought a bicycle that cost $200.50 at a sporting goods store. The sales tax on the bicycle was 8%. Therefore, the total cost will be,

Total cost = $200.50 + 8%

                = $200.50 + (0.08 × $200.50)

                = $216.54

Hence, the cost of a bicycle with tax included is $216.54.

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At what rate did you invest your $1000, if it made you $120 in interest over the course of 3 years? (Write your answer as a percent without the percent sign)

Answers

Answer:

The rate at which the $1000 is invested is 4%.

Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.

Step-by-step explanation:

Amount invested = $1000

Total interest income over the course of 3 years = $120

Number of years = 3

Annual interest income = Total interest income over the course of 3 years / Number of years = $120 / 3 = $40

The interest ate on the $1000 invested can now be calculated as follows:

Interest rate = (Annual interest income / Amount invested) * 100 = ($40 / $1000) * 100 = 0.04 * 100 = 4%

Therefore, the rate at which the $1000 is invested is 4%.

Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.

write a subtraction
which crosses 100 and
has an answer of 18.
Explain your thinking.

Answers

200-182=18 it’s over 100 and the answer is 18

the lcm of 22 132 and 253 using prime factorization? ​

Answers

Answer:

3036

multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,

multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,

multiples of 253 are 253, 506, 759, 1012, and so on,

Its quite a time consuming process.

when all the numbers eventually meet together that is the answer.

Find the area of the shape. 8

Answers

so the answer is in the picture

but once i show it i would like a crown for it :)

The area of the shape is 16pi units[tex]\\^{2} \\[/tex]

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