Part 1)
we have
the scale is ![1:100,000](https://tex.z-dn.net/?f=1%3A100%2C000)
the distance on a map is ![12\ cm](https://tex.z-dn.net/?f=12%5C%20cm)
we know that
The scale is equal to the distance on a map divided by the real distance
Let
x------> distance on a map
y-------> real distance
S-------> scale
![S=\frac{x}{y}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7Bx%7D%7By%7D)
In this part we have
![S=\frac{1}{100,000}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B1%7D%7B100%2C000%7D)
Find the value of y
![y=\frac{x}{S}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bx%7D%7BS%7D)
Substitute the values
![y=\frac{12}{(1/100,000)}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B12%7D%7B%281%2F100%2C000%29%7D)
![y=1,200,000\ cm](https://tex.z-dn.net/?f=y%3D1%2C200%2C000%5C%20cm)
Convert to kilometers
![y=12\ Km](https://tex.z-dn.net/?f=y%3D12%5C%20Km)
Part 2)
In this part we have
![S=\frac{1}{300,000}](https://tex.z-dn.net/?f=S%3D%5Cfrac%7B1%7D%7B300%2C000%7D)
Find the value of x
![x=S*y](https://tex.z-dn.net/?f=x%3DS%2Ay)
Substitute the values
![x=(1/300,000)*12](https://tex.z-dn.net/?f=x%3D%281%2F300%2C000%29%2A12)
![x=0.00004 Km](https://tex.z-dn.net/?f=x%3D0.00004%20Km)
Convert to centimeters
![x=4\ cm](https://tex.z-dn.net/?f=x%3D4%5C%20cm)
therefore
the answer is
The distance is ![4\ cm](https://tex.z-dn.net/?f=4%5C%20cm)
Step-by-step explanation:
the answer is b because the circle is filled with color as it should be and shows that x is equally to number 3 too
Answer:
cotA. cos(30° - A) - sin(30° - A) = √3/2
⇔
Step-by-step explanation:
Answer:
150 -160
Step-by-step explanation:
I not amazing at this but i do know this is kinda hard. sorry if it is wrong
Answer:
Divide 6 miles by 0.5 hour: 6/0.5 = 12 miles per hour.
Step-by-step explanation: