the library is 4 blocks north and 9 blocks east of the school. The museum is 9 blocks east and 11 blocks south of the school. How far is it from the library to the museum?

Answers

Answer 1
Summary: Solve[tex] \sqrt{90} [/tex]
Starting at (0,0), the school's location, at least for the definition I will use, you add 4 to the y value (0,4), 9 blocks east, so you add 9 to the x value (9,4), and there is the library's location. Adding 9 to the x value and subtracting 11 from 4 you get (18,-7). You'll need the distance formula for the rest, which is: [tex] \sqrt({ x_{1} - x_{2})^2 + ({y_{1} - y_{2})^2[/tex]. So, plugging in the numbers, the first x becomes 9, and the second one becomes 18, so the first portion of the equation is (9-18)^2. As for the second part of the equation, you plug 4 into the first y, and -7 into the second "y", ending up with (4-7)^2. So, the equation now becomes [tex] \sqrt{(9-18)^2 + (4-7)^2} [/tex]. Using that, (-9)^2 is 81, and (-3)^2 is 9, so 81+9 is 90, and now, for the final portion of the equation, you find the square root of 90, which is about 9.49. So, the distance between the library and museum is about 9.49 (or 9.5) blocks.

Related Questions

sophina bought 3 yards of trim to put around a rectangular scarf . She wants the width of the scarf to be a whole number that is at least 6 inches and at most 12 inches. If she uses all the trim , what are the possible dimensions of her scarf? write your answer in inches

Answers

3x6=12divided by 12 =1

The product of 10 and the difference of a number x and 14 is 90

Answers

Answer:

The product of 10 and the difference of 76 and 14 is 90

Step-by-step explanation:

90 - 14 = 76

76 + 14 = 90

90 - 10 = 80

I really tried to understand and came to this conclusion but I hope it helps I guess!

which parachute has a slower descent: a red parachute that falls 10 feet in 4 seconds or a blue parachute that falls 12 feet in 6 seconds?

Answers

blue because it travels longer faster

Well 10/4 is 2.5
So the red parachute will fall at 2.5 m/s.

And 12/6 is 2
So the blue parachute will fall at 2 m/s.

Meaning the blue parachute has a quicker descent.

Mrs. Bennett has graded 20% of her 150 students' papers. How many papers does she still need to finish grading?

Answers

120

You can find out how many she has graded by multiplying 150 by the decimal version of 20% (.20). Then, subtract the number you get by 150.
150 - (150 x 20%)
         or
150 - (150 x .2)

Simplified:

150 - 30
    120

Find the value of x when 2(x - 3) + 1 = 3x + 4
A) -1
B) -1/5
C) -9/5
D) -9

Answers

-1/5 is the answer because I have had this question before and I got it right


Answer:  -9

Step-by-step explanation: Distribute: 2x - 6 + 1= 3x + 4. Combine like terms on the left side: 2x - 5 = 3x + 4. Subtract 2x from both sides: -5 = x + 4. Subtract 4 from both sides: x = -9.

Please fill out the function table.
Questions are in the photo.

Answers

I hope this helps you
Y=2x+3
X-2 Y=1
X=-1 y=1
X=0y=3
X=1y=5
X=2y=7
------------
Y=-x+6
Y=12
Y=9
Y=4
Y=3
Y=-1
------------
Y=-11x
Y=33
Y=11
Y=-22
Y=-44
Y=-55
---------
Y=-4x-1
Y=19
Y=7
Y=3
Y=-13
Y=-17
---------
Y=5x-4
Y=-34
-19
-4
16
21
-----------
Y=3x-7
-25
-22
-10
-1
1
5
------- that is all

a^b if a=6 and b=7...............

Answers

6^7=279936
Hope this helps
The answer is 21 beacause if u add them it makes sense

bailey can hit 42 golf balls in 3 1/2 hours. if she hits golf balls at a constant rate,

Answers

If Bailey can hit 42 golf balls in 3 1/2 hours, that is a fraction. 42 golf balls per 3 1/2 hours:
42 golf balls
3 1/2 hours
You want to make this number so it is how many golf balls per 1 hour(x is the number of golf balls:
x golf balls
1 hour
To get this number you would divide the numerator(the number on top), by the denominator(the number on the bottom). You would get 12 golf balls per hour.
12 golf balls
1 hour

Bayley can hit a single golf ball every 5 minutes

Now Bayley can hit 42 golf balls in 3 1/2 hours

Thus converting the 3 1/2 hours in minutes:

3 hours +  1/2 hours = 180 minutes + 30 minutes = 210 minutes

Bayley can hit 42 golf balls in 210 minutes

Thus let's say she takes 'x' minutes to hit one ball

Calculating the value of 'x'  using direct proportion theorem:

[tex]\frac{x}{210}=\frac{1}{42}[/tex]

[tex]x*42 = 210[/tex]

[tex]x= \frac{210}{42}[/tex]

[tex]x = 5[/tex]

Thus Bayley can hit 5 golf balls every 1 minute

what are all the common factors of 24,64 and 88

Answers

A common factor for all of them is 8

i need help with 64 x 57=

Answers

4736 I got u bro live through school
3648 is the answer of 64 times 57

Multiply whit regrouping
59
X 52=

Answers

your answer is 3,068
Use a calculator and you should get the answer :)

When the Santos family stopped at the diner, they had traveled 36 miles from their home. At the gas station, the trip meter read 79 miles. How far did they travel from the diner to the gas station?

Answers

They are 36 miles from home because they are stopped at the diner and then they travel to the gas stations which is 79 miles from home. So, you subtract 79-36 to get 43 miles.

Answer: 43 miles

DDraw a model of 5.5 divided by 5

Answers

5.5\5=1.1 I believe. or ii tjink

What is the quotation of the division problem -44/4

Answers

-11. Also it's quotient not quotation just to let you know. I hope I helped.

what is the answer to k/3-2k+4=10

Answers

The answer is k = -18/5 and in decimal form its -3.6.

5k/-3 + 4 = 10

5k/-3 = 10 - 4

5k/-3 = 6

-5k = 6 * 3

-5k = 18

k = 18/-5.

(mary found 2 seashells and jason found 5 seashells on the beach when they cleaned them they discovered thay that 8 were cracked how many seashells dis they find together)plz help

Answers

They found 15 seashells ( can you make this a brainliest ansswer pls )
they found 7 together, meaning...8 couldn't have cracked if there was only 7 in the first place. is this a joke?

your bank account balance was $235.24 . After two checks were cashed (each for the same amount) your balance is now $-45.58. what was the amount of each check

Answers

After calculating the total reduction in the bank account balance, it was determined that each of the two equal checks cashed was for the amount of $140.41.

The problem at hand is a simple algebra question where we are solving for the amount of each check cashed when a bank account balance changes from a positive balance to a negative one.

Firstly, we must establish the initial and final bank balance amounts before and after the checks are cashed. We know that the beginning balance was $235.24 and after cashing two identical checks, the balance becomes -$45.58. The total reduction in the bank account reflects the total amount of the two checks combined.

To find the total reduction, we subtract the final balance from the initial balance:

Total reduction = Initial balance - Final balance

Total reduction = $235.24 - (-$45.58) = $235.24 + $45.58 = $280.82

Since there were two checks with equal amounts, we divide the total reduction by two to find the amount of each check:

Amount per check = Total reduction / 2

Amount per check = $280.82 / 2 = $140.41

Therefore, the amount of each check was $140.41.

One wall of Kevin's living room measures 8 ft by 15 ft. Windows make up 22% of the surface area. What is the window area?

Answers

8ft*15ft = 120 ft^2

22% -> .22
120*.22 = 26.4
The window area is 26.4 square feet (ft^2)

a square rug has an area 80ft which is the best approximation of the length of one side of the rug.....Explain...If you can show work

A ) 6.4ft
B ) 7.5ft
C ) 8.9ft
D ) 20ft

Answers

So to find the answer, first we need to understand how to approximate square roots. 80 is an imperfect square, so we're going to have to round the answer. To find that, we need to find the multiples 80.

72, 80, 81.
8, x, 9

So the distance apart between 72 and 81 is 9. The answer, x, is obviously between 8 and 9, and since the distance between these to is 9, your answer is going to be 8.9 .
Final answer:

The length of one side of the square rug is found by taking the square root of the area of the rug, which is 80 square feet. The best approximation for this is 8.9 feet.

Explanation:

This problem is about understanding the relationship between the area and the length of a side in a square. In a square, all sides are equal in length, and the area of a square is given by the equation Area = side*side. So, if the area is given, we can find the length of a side by taking the square root of the area.

Here, since the area of the square rug is 80 square ft., we find the length of one side by calculating the square root of 80. The square root of 80 is approximately 8.9ft

So, looking at the options given, the best approximation for the length of one side of the rug is option C) 8.9ft.

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Fumi's backyard has an area of 10,359 Sq ft. write this in scientific notation

Answers

The answer is 1.0359 x 10^1 because it has to be between 10 and 1.

Sales Tax is percent
a)increase
b)decrease
Discount is percent
a)increase
b)decrease
Tip is percent
a)increase
b)decrease

Answers

Sales Tax would be considered a) percent increase, because it is an added amount onto the total. Discount would be considered b) percent decrease, because it takes a certain amount off of your total. Tip would be considered a) percent increase, because similar to sales tax, you must add it on to your total.
The Sales Tax is percent: Increase because it is going upward and you're adding on 

Discount is percent:  Decrease because it is downward and because you're taking a certain amount off 

Tip  is percent : Increase because you're giving  in and it kind of like the "Sales Tax" 

Therefore, your answers would have to be: Increase,Decrease, and Increase :)

tim estimates that 60÷5.7 is about 10. Will the actual quotient be greater then or less than 10? explain

Answers

The actual quotient will be greater than 10 because 60 divided by 5 is 12, so the answer will be between 10 and 12, so it will be greater than 10

The quotient of 10.52 is greater than 10 for 60 / 5.7.

Given that,
To justify whether tim estimates that 60÷5.7 is about 10. Will the actual quotient be greater than or less than 10

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Dividend = 60
Divisor = 10
Now,
= 60/ 5.7
= 10.52 = quotient which is greater than 10

Thus,  the quotient of 10.52 is greater than 10 for 60 / 5.7.

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60 people rode a ferris wheel in 25 min how many can ride in 2 hrs

Answers

480 is probably correct
Hello! If 60 people rode in 25 min (1/4 of an hour), then we need to multiply 60*8, which is 480. I hope I helped! :)

(1) The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy. Lola sold $2030 in ads, Ahmed sold $1540, and Tommy sold $1800. (a) What fraction of the total sales did each salesperson sell? (b) A $100 bonus was awarded to the three salespeople, which they had to share. It was awarded so that each salesperson received the same fraction of $100 as he or she sold of the total sales. How much did each person receive? Round to the nearest whole cent.

Answers

Answer: a) Fraction of the total sales did each salesperson sell:-

[tex]\text{Lola}=\frac{203}{537}[/tex]

[tex]\text{Ahmed}=\frac{154}{537}[/tex]

[tex]\text{Tommy}=\frac{180}{537}[/tex]

b) Each person receive=$33

Step-by-step explanation:

Given: The three salespeople for a local advertising firm are Lola, Ahmed, and Tommy.

Sales by Lola= $2030

Sales by Ahmed=$1540

Sales by Tommy=$1800

Thus, the total sales= $2030+$1540+$1800=$5370

Fraction of the total sales did each salesperson sell:-

[tex]\text{Lola}=\frac{\text{Sales by Lola}}{\text{total sales}}=\frac{2030}{5370}=\frac{203}{537}[/tex]

[tex]\text{Ahmed}=\frac{\text{Sales by Ahmed}}{\text{total sales}}=\frac{1540}{5370}=\frac{154}{537}[/tex]

[tex]\text{Tommy}=\frac{\text{Sales by Tommy}}{\text{total sales}}=\frac{1800}{5370}=\frac{180}{537}[/tex]

If $100 bonus was awarded to the three salespeople, then

Each person receive=[tex]\frac{\$100}{3}=33.33\approx\$33[/tex]


how to draw an area model for 1.1x2.4

Answers

make one side of the shape 1.1 long and the side parallel to it the same length. make the top side of the shape 2.4 and the side parallel to it the same length.
First you go ten lefts and two right

How do you express 5/8 as a decimal?

Answers

To express 5/8 as a decimal, divide 5 by 8. You can do this because the fraction sign also means "divided by." You are dividing 5 by 8.

5/8=.625
Final answer:

To express 5/8 as a decimal, divide 5 by 8 to get 0.625.

Explanation:

To express the fraction 5/8 as a decimal, you must divide the numerator (5) by the denominator (8). When you do the division, the result is 0.625.

Here's it in steps:

Take the numerator (5).

Divide it by the denominator (8).

The result is 0.625, which is the decimal form of 5/8.

To express 5/8 as a decimal, you need to divide the numerator (5) by the denominator (8).

5 divided by 8 is equal to 0.625.

So, 5/8 is equivalent to 0.625 as a decimal.

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A jet flies 510 miles in 2 hours.

a. What is the rate of speed of the jet (MPH)?

b. At this rate, how far can the jet fly in 15 hours?

Answers

The rate is 255 MPH.


The jet can fly 3,825 miles in 15 hours.
The answer to A is 255 miles per hour. The answer to B is 3825 miles in 15 hours.

of the students in Rosalie's dance class, 29 out of 59 have participated in dance class before. About how many of her students have participated in dance class before?
A)0
B) 1/2
C) 1
D) 2

Answers

B) 1/2
since it says ABOUT, it would round to 30/60, 3/6, or 1/2
Because it says "about" you can round both 29 and 59 up to 30 and to 60. So about 30 out of 60 students have participated before.

30/60=1/2

Answer is 1/2

What is a conversion factor that you can use to convert gallons into pints?

Answers

There are four quarts in a gallon and two pints in a quart. Therefore, there are eight pints in a gallon because we need 2(4). Eight would be the conversion factor :)

I hope I helped!

identify the independent and dependent variables in the following y=4x+1

Answers

Final answer:

In the given equation y=4x+1, the independent variable is x, and the dependent variable is y. The independent variable is the cause, and the dependent variable is the effect. Therefore, any change in x will result in a change in y.

Explanation:

In the given equation y=4x+1, the independent variable is x and the dependent variable is y. This is because the value of x is not dependent on any other variable, while the value of y depends on x. The variable y is dependent because it changes in response to the value of x.

Conceptually, the independent variable is what you have control over or manipulate, and the dependent variable is what you observe or measure. For example, in the equation y = a + bx, a is the y-intercept, b is the slope, x is the independent variable, while y is the dependent variable that changes according to the value of x.

Simply put, the independent variable is the cause, and the dependent variable is the effect. In the context of this equation, any change in x (independent variable) will cause a change in y (dependent variable).

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