Find the gradient of the line segment between the points (-3,2) and (-2,5). Thank guys X
2 answers:
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<u><em>Answer:</em></u>
AC = 10sin(40°)
<u><em>Explanation:</em></u>
The diagram representing the question is shown in the attached image
Since the given triangle is a right-angled triangle, we can apply the special trig functions
<u>These functions are as follows:</u>
sin(θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan(θ) = opposite / adjacent
<u>Now, in the given diagram:</u>
θ = 40°
AC is the side opposite to θ
AB = 10 in is the hypotenuse
<u>Based on these givens</u>, we will use the sin(θ) function
<u>Therefore:</u>
We will use u-substitute:
Then for substitution:dx=u du. and integral becomes:
=u-ln(u+1)=
. Now we will change the values of limits: 
=4-ln(5)-2+ln(3)=2+ln(0,6)=2-0.51=1.49
In order to find the percent error, we need to first find the difference between what was expected and what is actually costed. We do this by subtracting:
So now we know that the expected amount was off by $63. To find the percent error, we need to take this $63, and divide it by the amount that was estimated. Let's do that now:
However this is in decimal form. We need to multiply by 100 in order to get it in a percent:
Now we know that the percent error of the hospital bill estimate is 13.64%.
So now we know that the expected amount was off by $63. To find the percent error, we need to take this $63, and divide it by the amount that was estimated. Let's do that now:
However this is in decimal form. We need to multiply by 100 in order to get it in a percent:
Now we know that the percent error of the hospital bill estimate is 13.64%.