The computation shows the radius of the circle that is inscribed in the isosceles triangle will be 3.33cm.
<h3>How to calculate the radius?</h3>
From the information given, the isosceles triangle the length of a base is 10 cm and the length of a leg is 13 cm.
Let A = area of the triangle
Let S = semi perimeter of the triangle.
The radius will be: = A/S
where,

The radius will be:

= 3.33cm
In conclusion, the radius is 3.33cm.
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Cot(x)sec(x) =
(cos(x)/sin(x))(1/cos(x))=
cos(x)/(sin(x)cos(x)) =
1/sin(x) =
csc(x)
Answer:
The total cost is $95.32.
Step-by-step explanation:
Given:
Total came to $76.75. There is an 8% sales tax and 15% tip.
Now, to find the total cost.
<em>8% sales tax is there so we calculate the amount after adding sales tax:</em>
$76.75 + 8% of $76.75




The cost after sales tax is $82.89.
Now, <em>the cost after 15% tip:</em>
$82.89 + 15% of $82.89




The cost after the tip is $95.32.
Therefore, the total cost is $95.32.