MATHEMATICS HIGH SCHOOL

On a road map, the distance between 2 cities is 2.5 inches. The map scale is 1 inch: 30 miles. What is the actual distance between the cities?

Answers

Answer 1
Answer:

Answer:

75 miles.

Step-by-step explanation:

By proportion the actual distance is 2.5 * 30

=    75 miles

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The first term of an arithmetic progression is -3 and the common difference is 8. What is the 28th term? 213 226 229 220
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Faucet a can fill a water cooler 8 minutes. faucet b can fill the same cooler in 12 minutes. how long will it take both faucets together to fill the water cooler?
2x plus 4 in vertex form

Find the length of side a. Round to the nearest tenth.A) 12


B) 378.4


C) 18.3


D) 19.5

Answers

Answer:

  D)  19.5

Step-by-step explanation:

The law of cosines gives you the relation ...

  a² = b² + c² - 2bc·cos(A)

Substituting the given values, you have ...

  a² = 13² + 11² - 2·13·11·cos(108°) ≈ 378.379

  a ≈ √378.379 ≈ 19.452 . . . . take the square root

  a ≈ 19.5

In the lab, Jenny has two solutions that contain alcohol and is mixing them with each other. She uses 200
milliliters less of Solution A than Solution B. Solution A is
14%
alcohol and Solution B is
17%
alcohol. How many milliliters of Solution B does she use, if the resulting mixture has
375
milliliters of pure alcohol?

Answers

the answer to your question is 34

Answer

I am looking for answer yo top question

how do you explain the midpoint of cd is e (-1,0). one endpoint is c(5,2). what are the coordinates of the other endpoint?

Answers

The other endpoint will be equal to  (-7, -2).

What is coordinate geometry?

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the midpoint of cd is e ( -1,0 ) one endpoint is c( 5,2 ). The midpoint will be calculated as:-

Midpoint = (x₁+x₂ / 2 , y₁+y₂ / 2)

5 + x₂ / 2 = -1

5 + x₂ = -2

x2 = -7

2 + y₂ / 2 = 0

2 + y₂ = 0

y₂ = -2

Therefore, the other endpoint will be equal to  (-7, -2).

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midpoint = (x1+x2 / 2 , y1+y2 / 2)

5 + x2 / 2 = -1
5 + x2 = -2
x2 = -7

2 + y2 / 2 = 0
2 + y2 = 0
y2 = -2

Other endpoint: (-7, -2)

Write a rule to describe each transformation.
I do not know how can I get help ?

Answers

This is the translation rule twice (translate right 2; translate down 1)

Final answer:

To write a rule to describe each transformation, the specific type of transformation and its steps need to be determined. Examples include translation, reflection, and rotation.

Explanation:

To write a rule to describe a transformation, you need to determine the type of transformation and the specific steps involved. Here are some examples:

  1. Translation: A rule for a translation is usually written in the form (x, y) -> (x + a, y + b), where a and b represent the horizontal and vertical shifts, respectively.
  2. Reflection: A rule for a reflection can be written as (x, y) -> (-x, y) for a reflection over the y-axis or (x, y) -> (x, -y) for a reflection over the x-axis.
  3. Rotation: A rule for a rotation can be written as (x, y) -> (xcosθ - ysinθ, xsinθ + ycosθ), where θ represents the angle of rotation.

Learn more about Transformations here:

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Prove that the value of the expression
(3^5-3^4)(3^3+3^2) is divisible by 24

Answers

Answer:

243

Step-by-step explanation:

(3^5 – 3^4) (3^3 + 3^2)

= (243 – 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

because 832 can be divided by 8 and 5+8+3+2 = 18 is divisible by 3,

5832 is divisible by 24

Benito spent $1837 to operate his car last year. Some of these expenses are listed below. Benito's only other expense was for gasoline. If he drove 7600 miles, what was the average cost of the gasoline per mile?

Answers

I answered this question before. It lacked some data needed to solve this problem.

Operating Expenses 
Cost Insurance $972 
Registration $114 
Maintenance $105

1837 - 972 - 114 - 105 = 646 cost of gasoline

646 / 7600 = 0.085 or 8.5 centavos

Answer:

8.5

Step-by-step explanation:
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