The height of statue is 12.2 inches in Troy's drawing.
Step-by-step explanation:
Given,
Actual height of statue = 305 feet
Scale used by Troy;
25 feet = 1 inch
1 feet = 
305 feet = 
305 feet = 
305 feet = 12.2 inches
The height of statue is 12.2 inches in Troy's drawing.
Keywords: unit rate, division
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Planes X and Y are perpendicular to each other
Points A, E, F, and G are points only in plane X
Points R and S are points in both planes X and Y
Lines EA and FG are parallel
The lines which could be perpendicular to RS are EA and FG.
Answer:
4:1
Step-by-step explanation:
22/5.50
divide numerator by denominator and denominator by denominator
22/5.50=4
5.50/5.50=1
4/1 or 4:1
Part A) means that we have to find a composition of functions A and m
A(m(t))=π(9t)²=9πt²
part B)
A(m(t))=9πt²
A(m(2))=9*3.14*(2)²=113.04
Answer:
Part 1)
See Below.
Part 2)

Step-by-step explanation:
Part 1)
The linear approximation <em>L</em> for a function <em>f</em> at the point <em>x</em> = <em>a</em> is given by:

We want to verify that the expression:

Is the linear approximation for the function:

At <em>x</em> = 0.
So, find f'(x). We can use the chain rule:

Simplify. Hence:

Then the slope of the linear approximation at <em>x</em> = 0 will be:

And the value of the function at <em>x</em> = 0 is:

Thus, the linear approximation will be:

Hence verified.
Part B)
We want to determine the values of <em>x</em> for which the linear approximation <em>L</em> is accurate to within 0.1.
In other words:

By definition:

Therefore:

We can solve this by using a graphing calculator. Please refer to the graph shown below.
We can see that the inequality is true (i.e. the graph is between <em>y</em> = 0.1 and <em>y</em> = -0.1) for <em>x</em> values between -0.179 and -0.178 as well as -0.010 and 0.012.
In interval notation:
