Imagine you are the teacher. Explain how you would walk your student through this problem to answer this problem step by step.

Two hikers leave a cabin at the same time, one heading due south and the other headed due west. After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles. At that moment, what is the shortest distance between the two hikers?

Answers

Answer 1

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation


Related Questions


I WILL GIVR U BRAINERLEST AND A LIKE

The windows in an office building are
shaped like parallelograms. The base of
each window is 1.8 meters and the
height is 1.5 meters. What is the area
of each window?

Answers

Answer:2.7

Step-by-step explanation:

Just multily the 2 products

Seamus draws a triangle with angles of measures 40°, 60°, and 80°. Edwina draws a triangle with these same three angle measures. Which statement must be true?
A Edwina's triangle is the same size as Seamus's triangle.
B Edwina's triangle is the same shape as Seamus's triangle.
C The perimeter of Seamus's triangle is greater than the perimeter of Edwina's triangle.
D The area of Edwina's triangle is less than the area of Seamus's triangle.​

Answers

Answer:

It may be D or A hopeit helps

Step-by-step explanation:

Which function is linear?
A) y = x^2 + 4
B) 2y = 4x^2
C) 2y = x + 4
D) x^2=2y

Answers

Answer:

A

Step-by-step explanation:

its a

Answer:

C) 2y = x + 4

Step-by-step explanation:

all other functions include x²

A family spends 1/10 of it's annual income for housing 1/4 for food and clothing 1/5 for general expenses and 2/15 for entertainment what fractional part of their income is spent on these items altogether.

Answers

Answer:

The family spends 41/60 of its income on these items altogether.

Step-by-step explanation:

Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:

10, 4, 5, and 15 have a common least multiple at 60.

1/10 = 6/60

1/4 = 15/60

1/5 = 12/60

2/15 = 8/60

6 + 15 + 12 + 8 = 41

Therefore, the family spends 41/60 of its income on these items altogether.

Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey’s dog weighs 33 pounds.
What is the difference in ounces between Audrey’s dog and the combined weights of Drew’s cats?
Enter your answer in the box.

Answers

Answer:

48 ounces.

Step-by-step explanation:

Steps:

Combine the weight of the cats.

12 (assuming it is a typo, 1212 pounds is a pretty big cat!) + 17 = 30 pounds

Convert to ounces.

33 pounds = 528 ounces

30 pounds = 480 ounces

Subtract the two/find the difference.

528 - 480 = 48.

The difference in ounces between Audrey's dog and the combined weights of Drew's cats is 48 ounces.

look at pic 10 pts will mark brainilest

Answers

Answer:

A) The width is 12 cm; the average time is 3 minutes

Step-by-step explanation:

[tex]\frac{5}{3}= \frac{20}{y}[/tex]

Cross multiply.

5 × y = 3 × 20

5y = 60

5y ÷ 5 = 60 ÷ 5

y = 12

The width is 12 cm. Moving onto the time.

[tex]\frac{12}{4} =\frac{y}{1}[/tex]

Cross multiply.

4 × y = 12 × 1

4y = 12

4y ÷ 4 = 12 ÷ 4

y = 3

The time is 3 minutes.

Answer:

answer is d sorry if I'm wrong

Joyce packed lunches for the Shiloh Football Team. If she packed 75 pounds of bagged lunches. Each bag weighed 1 1/2 pounds. How many lunches did she pack?

50


60


70


80
WILL GIVE BRANLIEST

Answers

Answer:

50

Step-by-step explanation:

total weight=75 pounds

each bag weighed 1 1/2 pound=3/2 pound

no. of lunches=total weight/weight of each lunch

=75/(3/2)

=75*2/3

=50lunches

Answer:

50

Step-by-step explanation:

You need to divide 75 lb by 1 1/2 lb.

[tex] 75 \div 1 \frac{1}{2} = 75 \div \dfrac{3}{2} = \dfrac{75}{1} \times \dfrac{2}{3} = \dfrac{150}{3} = 50 [/tex]

Answer: 50

solve For X if 9( x²_1 )= 27 x 2187​

Answers

Answer:

use photomath it'll slove it for you

Step-by-step explanation:

1. The graphs below represent functions defined by polynomials. For which function are the zeros of the
polynomials 2 and - 3?

Answers

Answer:

the second graph (c)

Step-by-step explanation:

The curve is passing through (0, 2) and (0, -3). Then the correct option is B.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The zeroes of the polynomial function are 2 and -3.

The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.

The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).

Thus, the correct option is B.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ2

The radius is 15 cm what is the area

Answers

Answer:

A =  225 π  c m [tex]x^{2}[/tex]

Step-by-step explanation:

the area of a circle formula with radius  

A  =  π r[tex]x^{2}[/tex]  

in this case

A = π ×  15[tex]x^{2}[/tex]  

A  =  225 π  c m[tex]x^{2}[/tex]

Answer:

Step-by-step explanation:

Area of a circle = π r²        you are given the r  radius =  15cm

   area = π 15² cm

Which are solutions of
x/5= 1/+4?
A. -5 and 1
B. -1 and 5
C. 0 and 5
D. 0 and - 1
E. 2 and 3​

Answers

Answer:

I think a is correct answer.

How do you write 5.09 104 in standard form?

Answers

509,000
Hope that helped :)

5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р

Answers

Answer:

Step-by-step explanation:

KP²+HP²=KH²

KP²+5²=8²

KP²=64-25=39

KP=√39

find the value of x. 5.1 perp and angle bisectors geo

Answers

Answer:

7

Step-by-step explanation:

4x+30=9x-5

35=5x

x=7

If 18 is 45% what is 100%

need help ASAP any random answers just for points will be reported

Answers

Answer: 45

Step-by-step explanation:

Solution for What is 45 percent of 100:

45 percent * 100 =

(45:100)* 100 =

(45* 100):100 =

4500:100 = 45

Now we have: 45 percent of 100 = 45

Question: What is 45 percent of 100?

Percentage solution with steps:

Step 1: Our output value is 100.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$100=100\%$100=100%​.

Step 4: Similarly, $x=45\%$x=45%​.

Step 5: This results in a pair of simple equations:

$100=100\%(1)$100=100%(1)​.

$x=45\%(2)$x=45%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{100}{x}=\frac{100\%}{45\%}$

100

x​=

100%

45%​​

Step 7: Again, the reciprocal of both sides gives 45

$\frac{x}{100}=\frac{45}{100}$

x

100​=

45

100​​

$\Rightarrow x=45$⇒x=45​

Therefore, $45\%$45%​ of $100$100​ is $45$

Answer:

40

Step-by-step explanation:

I like to find common factors.

45% and 18 are both divisible by 9.

so

45% ÷ 9 = 5%

18 ÷ 9 = 2

2 is equal to 5%

100% ÷ 5% = 20

so

20 × 2 = 40

100% = 40.

X is proportional to ✓y where y>0 .
y is increased by 44%
work out the percentage increase in x​

Answers

Answer:

20%

Step-by-step explanation:

x = k√y

Increase y by 44%. y becomes 1.44y.

x = k√(1.44y)

x = 1.2k√y

x went from k√y to 1.2k√y.

(1.2k√y)/(k√y) = 1.2

x is now 1.2 times greater than it was, so the increase in x is 20%.

Answer: 20%

What is the height (h) of the prism?
3ft
6ft

Answers

6ft is the answer!! hope this helps :-)

Answer:

6ft

Step-by-step explanation:

The height is 6ft, because the 3 foot measurements are the width of the prism.

Find the range of the data

5,9,13,6,4,5,8,12,12,6

Answers

Answer:

9

Step-by-step explanation:

highest value: 13

lowest value: 4

13-4= 9 which is the range

Answer: 9

Step-by-step explanation: 13-4=9

My cousin needs help with this question.

Answers

I believe the answer is 3

Answer:

3 feet per minute

Step-by-step explanation:

Look at an easy to read point on a grid line intersection.

Then find the slope. Slope = constant of proportionality.

For example, look at point (2, 6) which means that when time = 2 minutes, distance = 6 feet.

(6 ft)/(2 sec) = 3 feet per minute

Answer: 3 feet per minute

can someone help me on this?

Answers

Answer:

Step-by-step explanation:

The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool

Answers

Answer:

59m

Step-by-step explanation:

Length= 3 × ( width)

But perimeter= 2width + 2 Lenght= 472

Let length= X

Width= Y

X= 3Y.........eqn(1)

2X + 2Y= 472........eqn(2)

Substitute X= 3Y in eqn(2)

2(3Y) + 2Y = 472

6Y + 2Y= 472

8Y= 472

Y= 59 m

Hence, the width of the pool is 59 m

if an area of the rectangle below is 39 square feet, sides are x-2 and x+8 find the area of x

Answers

Answer:

x  = 5.

Step-by-step explanation:

The area of a rectangle can be determined by the following formula.

A = l ⋅ w  

l  stands for length or the longer side.

w  stands for width or the shorter side.

Now, we can plug the values we are given into the equation.

A = ( x − 2 ) ⋅ ( x + 8 )

The easiest way to multiply is to follow the acronym FOIL , which stands for First Outside Inside Last, and dictates the order in which you multiply these terms.

A = x 2 + 8 x − 2 x −16 = x 2 + 6 x − 16

Now, we can plug in the given value for the area.

39 = x 2 + 6 x − 16  

Next, we simplify by moving all terms to one side and factor the equation.

0 = x 2 + 6 x − 55

Finally, we factor the equation. This means we reverse-FOIL, trying to determine the two things that we multiplied together.

0= ( x − 5 ) ⋅ ( x + 11 )

If the equation ultimately equals zero, either  ( x − 5 )  or  ( x + 11 )  or both equal zero. Therefore, we set each equal to zero to find the value of  

x .

x − 5 = 0 x = 5 x + 11 = 0

x = − 11

Since  x  is a length, we know it cannot be negative. Thus, we can conclude that it equals 5.

Find the equation of the line shown. Enter yoir answwr in slope intercept form​

Answers

Answer:

y = x

Step-by-step explanation:

The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.

Hope this helps!

-Luna

How do I evaluate:
(-1000)1/3

Answers

9514 1404 393

Answer:

  -10

Step-by-step explanation:

The first step is to write what you mean. We think you mean (-1000)^(1/3).

If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...

  -1000 = (-10)^3

Then your expression is ...

  (-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10

__

Some calculators can evaluate this for you (see attached).

Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:

  (-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10

_____

Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.

the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes

Answers

the function f(x) = -x^2 + 44x -384 models the daily profit in dollars that a shop makes
The answer is b I believe.

A picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, A margin of 1 1/2 inches is to be left on all sides of the picture. What is the area of the printed picture?

Answers

Answer:

The area of the printed picture is 172.5 square inches.

Step-by-step explanation:

Since a picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, and a margin of 1 1/2 inches is to be left on all sides of the picture, to determine what is the area of the printed picture the following calculation must be carried out, knowing that the area of a rectangle is equal to the base multiplied by the height:

81/2 = 40.5

1/2 = 0.5

40.5 - 1.5 x 4 = 34.5

11 - 1.5 x 4 = 5

34.5 x 5 = 172.5

Therefore, the area of the printed picture is 172.5 square inches.

5.6(x - 3) = -0.4x + 19.2

Answers

Answer:

Step-by-step explanation:

Answer:

this is the answer hope it helps

A loss of $13.50 on a washing machine represents 15% loss on the selling price. what is the selling price?

Answers

Answer:

$90

Step-by-step explanation:

Given data

Given data

Loss= $13.5

Percentage of the loss= 15%

Let the full loss be x

Hence we can find the value of x as

15/100*x= 13.5

0.15x= 13.5

divide both sides by x

x= 13.5/0.15

x= $90

Hence the loss in full is $90

For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information

Answers

Answer:

A. n=10

Step-by-step explanation:

your welcome

Answer:

n=100

Step-by-step explanation:

In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000?     That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.

I need help ASAP i will give brainlist

Answers

Answer:

M

Step-by-step explanation:

Answer:

Point M

Step-by-step explanation:

Each line represents 0.05 so M would best represent 1/3

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