(a) The integral is equal to the area of the triangle; it has height 20 and base 10, so the area is 20*10/2 = 100.
(b) The integral is equal to the area of the semicircle with radius 10. It's also under the horizontal axis, so the area is negative. The semicircle has area 
, so the integral is -50π.
(c) First compute
which is the area of the triangle on the right. It has height and base 5, so its area is 25/2.
Then split up the desired integral as
and plug in the integral values you know:
The answer is 30.857142 = x
46 degrees because the way that they line on it is set up cause it’s not 50 degrees or 40 degrees but it’s also close to a 50 degree angle than a 45
|-2| + |-3| - (-6)
= 2 + 3 + 6 = 11 (answer)
Answer: 11.84 cm³
Step-by-step explanation:
1. Let's rewrite the given dimensions (expressed as mixed numbers) as decimals. Divide the numerator by the denominator of the fractional part and add the result to whole number part. Then:
2. Then, to calculate the volume you must multiply its dimensions. Therefore, you obtain the following result:
