Can someone help me with this please? In Belleville, 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 9 miles and the distance between the courthouse and the city pool is 15 miles, how far is the library from the community pool?

Answers

Answer 1

Answer:

12 miles

Step-by-step explanation:

A right triangle is formed, where the distance between the library and the courthouse is one leg ( = 9 miles), the distance between the library and the swimming pool is the other leg (let's call it x), and the distance between the swimming pool and the courthouse is the hypotenuse ( = 15 miles).

From Pythagorean theorem:

15² = 9² + x²

225 - 81 = x²

x = √144

x = 12 miles


Related Questions

What is the volume of the right cone below?

Answers

Answer:

The answer is A.

Step-by-step explanation:

You have to use the formula of volume of cone,

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :

Let r = 5 units,

Let h = 45 units,

[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]

[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]

[tex]v = 375\pi \: \: {units}^{3} [/tex]

Answer:

[tex]375\pi \: \: units ^{3} [/tex]

Answer A is correct.

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]

Find the 44th term in the following
arithmetic sequence :
2, 3, 4, 5, ...

Answers

Answer:

45

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 - 2 = 1, thus

[tex]a_{44}[/tex] = 2 + (43 × 1) = 2 + 43 = 45

the answer is 45

hope this helps :)

I need to know the following written in slope-intercept form please:
3x+y-7=2
3x+4y=24
x-y=5

Answers

Answer:

1)  y = -3x + 9

2) y = -3/4x + 6

3) y = x - 5

Step-by-step explanation:

1) 3x + y - 7 = 2

            +7   +7

        3x + y = 9

       -3x        -3x

                y = -3x + 9

2) 3x + 4y = 24

  -3x           -3x

          4y = -3x + 24

          4        4      4

          y = -3/4x + 6

3) x - y = 5

  -x        -x

      -y = -x + 5

       -1     -1   -1

        y = x - 5

A bag of apples that cost $4.75 is on sale for 30%.
What is the sale cost?

Answers

Answer:

$3.32

Step-by-step explanation:

You take 30% of 4.75. You multiply 0.30 times 4.75. Then you subract that from 4.75. Boom.

Answer:

$3.33

Step-by-step explanation:

$4.75 by 30 then divide it by one hundred. So, the discount is equal to $1.43. To calculate the sales price, simply deduct the discount of $1.43 from the original price $4.75 then get $3.33 as the sales price.

I NEED HELP QUICKKKKKKKKK PLZ
-1/2(-3y+10)

Answers

Answer:

I think its 1.5y-5

Step-by-step explanation:

-1/2×3y=1.5y

-1/2×3=-5

Hello, I need help to figure out the arc measure of AH and GC. Could someone please give me the answer as well as the work ?

Thank you in advance!

Answers

Answer:

AH=AB and GC=CB

Step-by-step explanation:

4
A ramp made of solid concrete for wheelchairs is to be made to the dimensions shown below. How many
cubic meters of concrete will be needed to make the ramp?
2m
0.6m
20m

Answers

Answer:???

Step-by-step explanation:

Which expression is equivalent to: 7^14 divided by 7^2?
A. 7^16
B. 1^7
C. 7^7
D. 7^12

Answers

Answer:

7^12  or 7 to the 12th power!

Step-by-step explanation:

[tex]7^{14}[/tex] ÷ [tex]7^{2}[/tex] = [tex]7^{12}[/tex]

14-2=12

7 stays as the base so

[tex]7^{12}[/tex]

The solution is, 7^12  or 7 to the 12th power, is the expression which is equivalent to: 7^14 divided by 7^2.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

7^14 divided by 7^2

now, we have to find the expression which is equivalent to: 7^14 divided by 7^2.

so, we have,

7^14 ÷ 7^2

= 7^14 / 7^2

=7^14-2

as, we know that,

14-2=12

so, we get,

7^14-2

=7^12

as, we know,

7 stays as the base so,

7^14 ÷ 7^2 = 7^12

Hence, The solution is, 7^12  or 7 to the 12th power, is the expression which is equivalent to: 7^14 divided by 7^2.

To learn more on division click:

brainly.com/question/21416852

#SPJ3

Write the equation of the circle graphed below. Plssss helppp

Answers

Answer:

(5,0) You need to calculate the horizontal axis first wich is 5

Step-by-step explanation:

Answer:

(5,0)

Step-by-step explanation:

Would you mind giving me brainliest?

Please help me as soon as possible!

Answers

0.5 is the answer

......

PLEASE HELP!!
Which of the following functions represents an exponential growth of twenty-five percent?
Of(x) = 35(1.25)
of(x) = 125(25) *
Of(x) = 2500(0.25)
f(x) = 15(2.5)

Answers

Answer:

its c

Step-by-step explanation:

i did the test


What is the least common multiple (LCM) of 10 and 12??
answers:
А:120
B:60
С:24
D:2

Answers

Answer:

The answer is B:60

Step-by-step explanation:

The LCM of 10 and 12 is B. 60

answer: the answer is b: 60

Simplify the expression

Answers

Look at the attached picture

Hope it will help you....

Good luck on your assignment

Answer:

for number  one the it is c

Step-by-step explanation:

(6-3)^2

3^2=9

because 3 times 3 equal to 9

it just like saying what  is the answer when you multiply the number by its self

HELP ME PLEASE!!!


I don't understand how to work this out....


If possible please explain/work it out either on text or with a picture!

Answers

Answer:

..

Step-by-step explanation:

<B = <D = 61 (AB parallel with DE)

61 = 2x

x = 30.5

What is the distance between (-6, 8) and (-3,9)?
Choose 1 answer.
4
6
√10
√15​

Answers

Answer:

180o 2 + 3 = 180o If the above statements are ... Theorem to Find Distance Geometry Geometry DIRECTIONS: Choose or write the correct answer . ... -8 12 units C√12 units D√74 units 13 units -2 -3 -4 A6 units -5-6 B -7 -8 -9 4.

Step-by-step explanation:

A dog run has an area of at least 150 square feet. The length of the run has to be 12 feet. What us the width of the run?​

Answers

Answer:

The width is 12.5

Step-by-step explanation:

so you would do 150 divided by 12 which would give you 12.5 so the width has to be 12.5 because length times width = area and 12.5 time 12 = 150

Hope this helped :3  o(* ̄▽ ̄*)ブ

Answer:

12.5 ft

Step-by-step explanation:

Area of a rectangle of length L and width W:  A = L * W

Then 150 ft^2 = (12 ft)(width), and so:

(width) = (150 ft^2) / (12 ft) = 12.5 ft

Write the number 38 in base five.

Answers

Answer:

I believe since 38 is base 10 then in bas 5 it will be 123 I hope I helped

Step-by-step explanation:

help pls!!!!!!!!!!!!

Answers

Answer:

w=9z

Step-by-step explanation:

For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!

Answer:

z = (1/9) w or w = 9z

Step-by-step explanation:

w = 18 , z = 2

if relationship is proportional than z = k (constant) *w

2 = k * 18 divide each side by 18

k = 2/18 = 1/9

A letter L with a height of 9 inches is drawn on the actual flag. What should be the height and inches of a letter L in the scale drawing? Explain plzzz....

Answers

Answer:

0.5 inch on the drawing

Step-by-step explanation:

The following information is missing:

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:

1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag

x = 9/18 = 0.5 inch on the drawing

What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)

Answers

-4.3s + 0.6t - 2.6 is the answer

Answer:

-4.3s + 0.6t - 2.6

Step-by-step explanation:

Please, someone, help me quickly!!

Answers

Answer:

(B)

Step-by-step explanation:

The value of 9 is more than the value than 4.

Therefore,

9 > 4.

4 is not greater than 9, and nine is not less than four.

Brainilest Appreciated!

If x+y = b and −x+3y=a, then what is y?

Answers

I honestly don’t know either

When a fair 6-sided dice is rolled 10 times, the resulting face values are as
follows: 1, 2, 6, 5, 5, 6, 3, 4, 5, 1. After conducting the experiment, the researcher
claims that P(5) = .30. This is an example of ______
probability.

Answers

Answer:

This is an example of independent probability.

Step-by-step explanation:

Independent events are not affected by previous events, just like the outcome of rolling a dice is not effected by the previous outcome. (The dice has no memory of any kind, what so ever!).

When two events are said to be independent of each other, meaning the probability that one event occurs in no way affects the probability of the other event occurring. Another example of an independent event is when you flip a coin. (The coin has no memory of any kind, what so ever!).

Multiplication Rule: When two events, A and B, are independent, the probability of both occurring is:

P(A and B) = P(A) · P(B)

The dice was cast 10 times. In three occasions a 5 came out, and in 7 occasions another outcome occurred. The probability of the outcome of exactly 3 times a 5 in 10 casts, can be calculated as:

P(5) =(1 / 6)^3 + (5 / 6)^7

P(5) = 0.28

P(5) = .3

Order the following numbers from least to greatest.
Put the lowest number on the left.
24. 72. 48. -24.

Answers

Answer:

-24, 24,48,72

Step-by-step explanation:

An experiment consists of randomly selecting a square from the board.



Part A


Find the probability of choosing a star.


A. 1/16


B. 1/8


C. 1/4


D. 1/2



Part B


Find the probability of choosing a triangle or a blank square.

A. 3/4


B. 1/2


C. 1/4


D. 1/16









Answers

Answer:

1/4 and 3/4.

Step-by-step explanation:

if you add all of the squares chosen and divide it by 16, you get the answer. Then reduce the fraction.


A running track is 1/4 of a kilometre. What is the
total distance a runner travels if he goes three
times round the track?
How many times would you have to go round the
track to run 2 kilometres?
Willow has read 1/7 of the books in the library.

Answers

Answer:

If a runner went around the track 3 times, he would have ran 3/4 of a kilometre. He would have to run around the track 8 times to run 2 kilometres.

Step-by-step explanation:

Answer:He would have to go around the track 8 times to get 2 kilometers

Step-by -step explanation:

Asphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m3.
hl
.

Answers

Answer:

r=21.3 h=32

Step-by-step explanation:

6% of x = 1.2; what is x

Answers

Answer:

x =20

Step-by-step explanation:

6% of x = 1.2

Change percent to decimal form

.06x = 1.2

Divide each side by .06

.06x / .06 = 1.2/.06

x =20

Answer is X=20 change % to a decimal

Factor out the Greatest Common Monomial Factor 8a + 86

Answers

Answer:

-1.12044185014

Step-by-step explanation:

i think this is the answer. i looked it up.

Answer:

2(4a + 43)

Step-by-step explanation:

8a + 86

2(4a + 43)

The radius of a grapefruit is 5/2 inches. What is the approximate surface area ? Use 22/7 for π.

Answers

Answer:

19.6 in^2 approximately.

Step-by-step explanation:

Assume it's close to being a sphere.

So the approximate surface area

= 4 pi r^2

= 4 * 22/7 * (1/2* 5/2)^2

= 19.6 in^2.

Answer:

550/7

Step-by-step explanation:

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