Answer:
A = arctan(BC/CA) = arctan(8/2) = 75.96 deg
Hope this helps!
:)
Answer:
arc AC = 111°
Step-by-step explanation:
∠APC is a central angle, so arc AC is equal to the measure of ∠APC.
∠APC and ∠BPC are supplementary. So, m∠APC + m∠BPC = 180
m∠APC + 69 = 180
m∠APC = 111
arc AC = 111°
Answer:
15 inches
Step-by-step explanation:
We assume that the edge of the small square is x (inches).
As the edge of the larger square is 2 inches greater than that of the smaller one, so that the edge of the larger square = edge of the small square + 2 = x + 2 (inches)
The equation to calculate the are of a square is: <em>Area = Edge^2 </em>
So that:
+) The area of the larger square is: <em>Area large square = </em>
<em> (square inches)</em>
+) The area of the smaller square is: <em>Area small square = </em>
<em>(square inches)</em>
<em />
As difference in area of both squares are 64 square inches, so that we have:
<em>Area large square - Area small square = 64 (square inches)</em>
<em>=> </em>
<em />
<em>=> </em>
<em />
<em>=> 4x + 4 = 64</em>
<em>=> 4x = 64 - 4 = 60 </em>
<em>=> x = 60/4 = 15 (inches)</em>
So the length of an edge of the smaller square is 15 inches
<u>Answer:</u>
Sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.
<u>
Solution:</u>
Given that Katrina goes to road runner after school and purchase following three products
A soda for 1.50
Chips for 3.50
Candy for 0.50
Also she pays 8% sales tax.
Need to determine amount paid in sales tax and total amount paid by Katrina.
lets first calculate amount she paid without taxes.
Total paid amount without taxes = 1.50 + 3.50 + 0.50 = 5.50
As she paid 8% sale tax , that is 8 % of 5.50
so sale tax paid = 
<em>Total amount paid = Total amount paid without taxes + tax paid
</em>
= 5.50 + 0.44 = 5.94
Hence sale tax paid by Katrina is 0.44 units of currency and total amount paid is 5.94 unit of currency.