Answer:
27 inches
Step-by-step explanation:
To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.
The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:
cos(48) = height / diagonal
0.6691 = 18 / diagonal
diagonal = 18 / 0.6691 = 26.9 inches
Rounding to the nearest inch, the diagonal of the canvas measures 27 inches
In order to get the answer to this problem, first we have to find out how many pounds does one case of pancake mix have. We know that one box has 1.3 pounds of pancake mix. We also know that one case has 12 boxes. So first, we multiply 1.3 to 12. The answer we will get is 15.6. One case of pancake mix has a total of 15.6 pounds of pancake mix. Now we also know there are 7.5 cases that George bought. So in order to get the total pounds George bought, we multiply 15.6 to 7.5. So all in all, George bought 117 pounds of Pancake Mix.
Answer:
Area of the sector = 57.26295cm²
Step-by-step explanation:
Radius of the circle=9cm
π= 3.142
Angle at B= 81° ( opposite angle of a quadrilateral)
Area of the sector = πr² * 81/360
Area of the sector = 3.142 * 9*9 * 0.225
Area of the sector= 3.142*81*0.225
Area of the sector = 57.26295cm²
