Answer:
The second step is Distributive Property and the third is Subtraction Property of Equality
Step-by-step explanation:
The 1/2 is being distributed in the second step making the 8x to 4x and the 6 to 3.
The third step involves the subtraction of "x" from the right hand side and the left hand side.
What is the actual distance between the shops?
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
Answer:
m∠XYZ=106°, m∠XWY = 53°
Step-by-step explanation:
XYZ is a central angle, its arc is XY = 106°. so m∠XYZ = mXY=106°
XWY is an inscribed angle, its arc XY = 106°, so m∠XWY =1/2 mXY=1/2*106=
= 53°
Answer:
1/64
Step-by-step explanation:
10 = ½
20 = ¼
30 = ⅛
40 = 1/16
50 = 1/32
60 = 1/64
Answer:
0.015625 left.
Step-by-step explanation:
If we start with say 100g of the material, in 10 years there is 100 * 1/2 =
50g left ( = 0.5 left).
In 20 years there is 100*(1/2)^2 = 25 g left.
In n*10 years there is 100(1/2)^2 g
So in 60 years there is 100(1/2)^6 = 1.5625 g left
This is 1.5625 %
= 0.015625 of the origin material left.
Please explain
Answer:
18
Step-by-step explanation:
Hi there !
2² x 3³ x 4⁵/ 2 x 3 x 4⁵ =
simplify 2 ; 3 ; 4⁵
= 2ₓ3²/1
= 2ₓ9
= 18
Good luck !