A map has a scale of 1 cm: 50 m.The distance between 2 shops is 4.5 cm.
What is the actual distance between the shops?
Answers
Final answer:
The actual distance between the two shops is 225 meters.
Explanation:
Understanding map scales is crucial for accurate distance measurement between locations depicted on maps. A scale of 1 cm:50 m signifies that each centimeter on the map corresponds to a real-world distance of 50 meters. This ratio is the key to translating map measurements into actual distances.
In the given scenario, the distance between two shops on the map is shown as 4.5 centimeters. To determine the actual distance, we use the scale factor. By multiplying the map distance by the scale factor of 50 m/cm, we obtain the real distance:
Actual distance = Map distance × Scale factor
Actual distance = 4.5 cm × 50 m/cm
Actual distance = 225 meters
Therefore, the actual distance between the two shops is 225 meters.
Map scales play a pivotal role in representing geographical features accurately. They allow cartographers to compress vast areas onto manageable sheets while retaining relative distances. The choice of scale depends on the map's purpose: a large-scale map provides intricate details of a small area, while a small-scale map gives an overview of a larger region.
In modern times, technology has redefined mapping through digital maps and GPS navigation. These tools can dynamically adjust scales based on the user's location, ensuring real-time accuracy. They have revolutionized how we interact with maps, making navigation more convenient and precise.
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Answer:
225 m
Step-by-step explanation:
50 x 4.5
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Answers
Answer:
the slope is
Step-by-step explanation:
calculate the slope m using the slope formula
m =
let (x₁, y₁ ) = (- 17, - 9 ) and (x₂, y₂ ) = (- 19, - 18 )
substitute these values into the formula for m
m = =
=
=
Answers
If one of them is x.
The three would be x, x + 1, x + 2
Since the sum are 138
x + (x + 1) + (x +2) = 138
x + x + 1 + x +2 = 138
x + x + x + 1 + 2 = 138
3x + 3 = 138
3x = 138 - 3
3x = 135
x = 135/3
x = 47.
So the numbers are, x, x + 1, x + 2, = 47, 47 + 1 = 48, 47 + 2 = 49
The integers are 47, 48, and 49.
Answers
(1, 1)
(3, 5)
(-1, 5)
Answers
Answer:
The point that is a solution of x + 2y ≤ 4, is (1,1)
Step-by-step explanation:
Given x + 2y ≤ 4, to teste if a point is a solution of the inequation you have to replace each par of values in the inequation and see the result.
So,
(2,4) ⇒ 2 + 2·4 ≤ 4 ⇒ 8 ≤ 4, this is not correct.
(1,1) ⇒ 1 + 2·1 ≤ 4 ⇒ 3 ≤ 4, is correct.
(3,5) ⇒ 3 + 2·5 ≤ 4 ⇒ 13 ≤ 4, this is not correct.
(-1,5) ⇒ -1 + 2·5 ≤ 4 ⇒ 9 ≤ 4, this is not correct.
Summarizing the only point that is solution of x + 2y ≤ 4, is (1,1)
=1 + 2(1)
= 3 which is less than 4
Answers
Answer:
2 more quarts of oil is needed to fill
the engine to capacity
Step-by-step explanation:
Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity
We have to convert the capacity to quarts
Mathematically, 1 gallon = 4 quarts
So 1 1/4 gallon will be 5/4 * 4 = 5 quarts
So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts
Answers
Answer:
one solution
Step-by-step explanation:
8x-4=10
Add 4 to each side
8x - 4+4 = 10+4
8x = 12
Divide by 8
8x/8 = 12/8x
x = 3/2
Answer:
one solution
Step-by-step explanation:
hope this helps
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