Multiply r^2+7r+10/3 by 3r-30/r^2-5r-50
<span>=( r^2+7r+10)/3 (3r-30)/(r^2-5r-50) </span>
<span>=(r+2)(r+5)/3 3(r+10)/ (r-10)(r+5) </span>
<span>=3 (r+2)(r+5)(r+10)/3(r-10)(r+5) </span>
<span>=(r+2)(r+10)/(r-10)</span>
The length of the curved surface is the circumfrence of a circle with radius r = 10/2 = 5 decimeters.
Length of curved surface = 2π x 5 = 10π ≈ 31.4 decimeters.
Answer:
equation on circle: (x-h)^2 + (y-k)^2 =r^2
(x-3)^2 + (y+2)^2 = 841
<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.