32.75 + 39.88 = 72.63
72.63 x 114% = 72.63 x 1.14 = $82.7982 or $82.80 to the nearest cent.
114% is all of the cost of the meal plus 14 % extra for the tip. See how muliplying by 1.14 includes the $72.63 (this saves the step of adding it on at the end if you were only to find 14% of $72.63)
I believe the area is 704
the area of the square is 484
the area of the triangle is 220
484+220=704
Answer:
6 foot
Step-by-step explanation:
Since the board is 12foot and the angle makes 60 degrees to the wall, we can assume that it is the 30,60,90 degreees. 30,60,90 degrees triangle makes the side of x, 2x ,and xroot3.
Hence, the board(12foot) is equal to 2x.
x=6
From the shaded diagram, Raphael will need 3 of the 6 equal portions, or exactly 1/2 of the area of the circle. Given a radius of 12 ft, knowing that the area of any given circle is

, and knowing that the area of the fabric needs to be half of the total area, we can set up the equation for the area of the fabric

:

Simplifying, we find that the area of the fabric is exactly

ft.² Using the approximation of 3.14 for π, we get an area of approximately

ft² of fabric.
Answer: 370 liters
Step-by-step explanation:
Given : Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 8 liters of natural oil for every 5 liters of synthetic oil.
Then , the amount of Petrolyn oil made by above composition =
Also, the amount of petrolyn oil is proportional to the amount of synthetic oil.
Let x be the amount of synthetic oil need ot make 962 liters of Petrolyn oil, the we have the following equation:-

Hence, In order to make 962 liters of Petrolyn oil, 370 liters of synthetic oil is needed .