1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lerok [7]
3 years ago
12

On a particular map, 1 inch represents an actual distance of 2.5 miles. the actual area of a lake is 12 square miles. find the a

rea of the lake on the map
Mathematics
1 answer:
Anton [14]3 years ago
5 0
We have that
scale factor=1 in/2.5 miles
<span>the actual area of a lake is 12 square miles

</span>we know that
[area on the map]=[scale factor]²*[area actual]
[area on the map]=[1/2.5]²*[12]-----> 1.92 in²

the answer is
1.92 in²

You might be interested in
Lena currently has a balance of -$10.48 in his checking account. Her bank requires her to maintain a minimum balance of $20. How
Goshia [24]

Answer

$30.48

Step-by-step explanation:

Find out how to get fro, -10.48 to 20. When you add .48 it makes it just $10. Add 30 more and get $20.

3 0
3 years ago
If it's 11:50 A.M. right now, what time will it be, in 25 minutes?
Helga [31]
The answer is 12:15 A.M.
7 0
3 years ago
Read 2 more answers
Determine wheather the graphs of y = 2x+1 and y=-3X-7 are parallel, perpendicular, coincident, or none of these
Readme [11.4K]

Answer:

The two graphs are perpendicular

Step-by-step explanation:

The slope of the first one is the reciprocal of the second. Also I graphed it.

5 0
2 years ago
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Find the solution(s) for x in the equatio
Novay_Z [31]

Answer: x = 4; x = 5

Step-by-step explanation:

The directions specify to solve by factoring

x^2 - 9x + 20 = 0

To factor, find two numbers that add to -9 and multiply to 20

-5 and -4 work

-5 + (-4) = -9

-5 * -4 = 20

(x - 4)(x - 5) = 0

x = 4, x =5

6 0
3 years ago
Other questions:
  • Jake cuts a length of 1,12 from a 3-meter board.how long is the board now ?
    11·1 answer
  • A certain fungus grows in a circular shape. Its diameter in inches after t weeks is given below 6 -(50/t^2+ 10). What is the squ
    13·1 answer
  • 13. A contractor buys 8.2 square feet of sheet metal.
    7·1 answer
  • How to solve r/10+4=5
    5·2 answers
  • What is the greatest possible error when measuring to the nearest quarter of an inch?
    15·1 answer
  • What percent is 5/4 to 3/8?
    11·1 answer
  • Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
    8·1 answer
  • If you plan to receive $300 of interest over 15 months on an initial investment of $1200, what is the nominal annual rate of int
    11·1 answer
  • If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate
    6·1 answer
  • What could be<br> a good option available to you if you are<br> behind on loan payments?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!