In Greenville, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 7 kilometers and the distance between the courthouse and the city pool is 25 kilometers, how far is the library from the community pool?

Answers

Answer 1

Answer:

24 km

Step-by-step explanation:

this is a right triangle

use the pythagorean theorem

a² + b² = c²

a² + 7² = 25²

a² + 49 = 625

Subtract 49 from both sides

a² = 576

Take the square root of oth sides

a = 24

24 km


Related Questions

There is a ratio of 5 girls to 3 boys in the choir Where are 24 boys in the choir how many girls are in the choir?

Answers

Answer:

The are 40 girls in the choir.

Step-by-step explanation:

First you set up an equation:

5/3=x/24

Then solve the inequality:

5 * 24 = 120

120 / 3 = 40 girls.

Hope this was helpful!!! Please mark me as brainliest!!!! XD

Which are true and false?

Answers

Answer:

2 sentences above are correct

[tex]\sqrt{5}[/tex] < 5/7

15/[tex]\sqrt{10}[/tex] < 8.38

Step-by-step explanation:

Write the equation of the circle containing the point (8, 1) and a center at (4, –9).

Answers

9514 1404 393

Answer:

  (x -4)² +(y +9)² = 116

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . center at (h, k), radius r

The value of the r² term can be found by using the point in the circle expression.

  (x -4)² +(y +9)² = (8 -4)² +(1 +9)² = 16 +100

  (x -4)² +(y +9)² = 116 . . . . . equation of the circle

In the diagram below which ratio is equal to sin R

Answers

Answer:

[tex]\huge\boxed{Option \ 4}[/tex]

Step-by-step explanation:

[tex]\displaystyle sin \theta = \frac{opposite }{hypotenuse}[/tex]

Where opposite = 55, hypotenuse = 73

[tex]\displaystyle sin R = \frac{55}{73} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

whats 9+10 if u get it right I give u brainliest |100 Points|

Answers

Answer:

[tex]9 + 10 = 19[/tex]

hope it helps

Answer: 21

Explanation: For the meme

Two fair 6-sided dice are rolled one at a time. Find the probability that
the first die lands on a value greater than 4 and the second die lands
on 2.

Answers

Answer:

Step-by-step explanation:

Lauren took her cat Tommy to the veterinarian, who said
that at 22 pounds, Tommy was overweight. The vet put
Tommy on a diet, and two months later, the cat weighed
19 pounds. What was the percent of change in Tommy's
bodyweight?

Answers

Answer:

15.79

Step-by-step explanation:

Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n rectangles. Calculate the approximation for each of the given function and interval below. (You may use calculator and keep the final numerical answer in decimals for this question) (a) (3 pts) R5, f(x) = x 2 + x on the interval [−1, 1]

Answers

Answer:

[tex]R_5=1.12[/tex]

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

[tex]f(x)=x^2+x[/tex]

On the interval [-1, 1] using five equal rectangles.

Find the width of each rectangle:

[tex]\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}[/tex]

List the x-coordinates starting with -1 and ending with 1 with increments of 2/5:

-1, -3/5, -1/5, 1/5, 3/5, 1.

Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

Each area of each rectangle is its area (the y-value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function f(x) over the interval [-1, 1] using five equal rectangles is:

[tex]\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12[/tex]

if you average 10 miles per hour, how long will it take to go 8 miles​

Answers

Answer:

48 minutes

Step-by-step explanation:

Question 10 of 20 : Select the best answer for the question. 10. Complete the comparison: 17 > ? O A. 18 O B. 1 O C. 17 D. 39

Answers

Answer:

B. 1

Step-by-step explanation:

17 is not greater than 18

17 is greater than 1

17 is equal to 17

17 is less than 39

Teavana has a shop in the airport and offers samples of the newest flavors of tea. Travelers who are waiting for their flights can taste the new tea at Teavana and answer a short survey on a tablet handed to them by a Teavana employee about the latest flavor. This is an example of which type of primary data

Answers

Answer:

- Computer-assisted self-interviewing.

Step-by-step explanation:

'Primary data' is characterized as the data or the information gathered firsthand for a particular purpose or research. Such data is collected personally through surveys, observations, and direct interviews.

As per the details, the given data illustrates 'computer-assisted self-interviewing' as the kind of primary data as the data is collected directly from the travelers visiting the airport using the brief survey method on a tablet. This will help Teavana make credible inferences regarding the people's reviews about their latest tea flavors so that they can make necessary alterations as per the likes and preferences of the people.

Grandma decides to pay for her new granddaughter's education. She gives
her one penny on her first birthday, and doubles the gift every year. Round
to the nearest hundredth. Do not use a dollar sign, numerical values only.
What will be the total of all the gifts on the girl's 18th birthday?

Answers

Answer:

Around 0.40

Step-by-step explanation

If she doubles the gift every year, do 18x2=36, 36 rounds to 40 or 0.40.

The total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

What is the sum of the terms of a geometric series till nth term?

Lets suppose the geometric sequence has its initial term is [tex]a[/tex], multiplication factor is  r, then, its sum is given as:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

The sequence would look like [tex]a, ar, \cdots, ar^{n-1},\cdots[/tex]

For this case, we are specified that:

Grandma gives 1 penny on first birthday of her granddaughterGrandma increases the gift by doubling the previous birthday gift.

That shows that the gift amounts each year will form a geometric sequence where a = 1, and r = 2 (as amounts are doubled).

The gift amounts would look like:

[tex]\\1, 2, 4, \cdots\\or\\1, 2\times 1, 2^2 \times 1, \cdots[/tex]

We have to find these terms' sum till 18th term(18th term is the gift of her 18th birthday).

Thus, we have: n = 18, a = 1, and r = 2.

The sum will be:

[tex]S_n = \dfrac{a(r^n-1)}{r-1} = \dfrac{1(2^{18}-1)}{2-1} = 2^{18} - 1 = 262143 \: \rm cents[/tex]

There are 100 cents in 1 dollars,

Thus, 1 cent = 0.01 dollars,

and thus, 262143 cents form 2621.43 dollars.

Thus, the total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

Learn more about sum of terms of geometric sequence here:

https://brainly.com/question/1607203

plzzzzzzzz help for a brainly

Answers

Answer:

Obtuse because it bigger than an acute and a right angle

Answer:

obtuse angle triangle

hope it helps

stay safe healthy and happy.

What is the sum of the numbers, written in scientific notation?
1.4 x 103 and 5.6 x 102

A. 1.96 x 2
B. 1.96 x 10^3
C. 1.96 x 4
D. 1.969 x 5

Answers

Answer: D) 1.969 x 5

Step-by-step explanation: Hope this help :D

Is anyone good at geometry if so can someone help me please ?

NO LINKS PLEASE

Answers

Answer: 9

Step-by-step explanation: h=2(A/a+b)=2(66.66/4.9+9.9)=9.01

How many students scored below 80?

11
19
cannot be determined from the histogram
9

Answers

Answer:

11

Step-by-step explanation:

What digit is in the hundreds place of 39, 487?

Answers

Answer:

4

Step-by-step explanation:

Plz this is urgent someone plz plz plz plz plz worth 21 pt and brainlest

Answers

Answer:

8

Step-by-step explanation:

500/(2*(4.4*3.2+3.2*2+2*4.4)) = 8.5382513661

What is the domain?
A
B
C
D

Answers

Answer:

C

Step-by-step explanation:

1. The domain is the x-value of a function.

2. In that image, the x-values are the numbers on the left of each parenthesis.

3. You should put the domains in increasing order, so the final answer is -2, 0, 2, 4.


The function p(h)=0.375h+3 represents the supply model to determine the millions of
available workers with the minimum hourly wage,h. Find the number of workers when the
minimum wage is $5.15 per hour. Round to the nearest hundredth place.

Answers

Answer:

4.93 million workers

Step-by-step explanation:

0.375*5.15+3 = 4.93125

The number of available workers is 4.93

The given expression:

[tex]p(h) = 0.375h + 3[/tex]

where;

h is the minimum hourly wage = $5.15

To find:

the number of workers

The number of available workers is calculated as follows:

[tex]p(5.15) = 0.375(5.15) + 3\\\\p(5.15) = 4.931\\\\p(5.15) \approx 4.93[/tex]

Thus, the number of available workers is 4.93

Learn more here: https://brainly.com/question/23853488

Cual es la pendiente de la recta qué pasa por los puntos (-4,-4) y (-4,-9)

Answers

Answer:

Step-by-step explanation:

(x1 = -4, y1 = -4) y ( x2 = -4, y2 = -9)

la pendiente es indefinida por que es una recta vertical

m= (y2-y1)/(x2-x1) = (-9+4)/ (-4+4) = -5/0 indefinida

Find the amount of interest earned on $5,000 at 15% compounded annually for 10 years. (Round your answer to the nearest dollar.)

Answers

Answer:

$7500

Step-by-step explanation:

I=PRT

=5,000×0.15×10

I need this please help me

Answers

Answer:

C. Reflection over x- axis, down 6 right 3

Step-by-step explanation:

Ashleigh wants to find the volume of her green house. The green house is the shape of a rectangular prism. It has a length of 18 feet and a width of 12 feet, but she cannot measure the height. She can tell that it is about half measurement of the length. Describe the steps Ashleigh should take to get an estimate of the volume.

Answers

9514 1404 393

Answer:

  1944 ft³ using the estimated height

Step-by-step explanation:

Ashleigh can use her estimate of the height, along with the other dimensions, in the volume formula to get an estimate of the volume.

  V = LWH

  V = (18 ft)(12 ft)(9 ft) = 1944 ft³

If h(x) = x2 – 3x + 2, what is the value of h(-x)?

Answers

Answer:

-2

Step-by-step explanation:

h(-4) = -4                          

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try
y =
COS
X +
y
5
3
2
3:20
22
5-7
371
-1 -2
-3
5

Answers

First box would be 5
Second box would be -2
Third box would be 7

35 points
(algebra one)
describe and correct the error in comparing the graphs

Answers

I think it’s 3 units up instead of down but the equation is correct

Omg help me thissssss plsssss

Answers

Answer:

3.5

Step-by-step explanation:

If you multiply 3.5 for example by 2 (which is the number of gallons) you get 7 which is the cost (also a proportional relationship).

x2 - 49 = 0 solve in factored form

Answers

Answer:

x = -7 or 7

Step-by-step explanation:

x² - 49 = 0

→ Factorise

( x + 7 ) ( x - 7 )

→ Solve

x = -7 or 7

Answer:

(x + 7) (x - 7) = 0

x + 7 = 0 and x - 7 = 0

So, x = +7 and -7

Hope this helps!

PLEASE HELP I DONT KNOW

Answers

Answer:

the answer is d circumference

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