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1 answer:
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Given the scale is 1 cm to 25 km.
We have to find the length of the trail from centimeter to the nearest tenth of kilometer.
Let's take the length of the trail be x km.
The length of the trail given 7.2 cm. We will have to find the length in km.
We have to set it up as a proportion. So we can write the proportion as,
We have to cross multiply first. We will get,
So we have got the required length of the train in kilometer.
The actual length of the trail = 180km.
Answer:
Step-by-step explanation:
First, let's change those variables to x and y, just for the sake of convenience. In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y. Letting y = A(n) and x = n (we will switch them back when we're done):
y = 3x - 20. This is linear; a line with a slope of 3 and a y-intercept of -20. When we switch the x and the y, we get:
x = 3y - 20. Now we solve for the new y. Begin by adding 20 to both sides:
x + 20 = 3y. Now divide both sides by 3:
, or to write it in slope-intercept form, like the function you started with:
This is also a line, with a slope of 1/3 and a y-intercept of +20/3
Now, replacing:
That is how to write the inverse using function notation. The little -1 as an exponent tells us that this is the inverse of the function A(n).
Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴
∵ BC = 6 units
∵ EF = 3 units
∴
∵ CA = 2 units
∵ FD = 1 units
∴
∴
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF