Hi there!

Our interval is from 0 to 3, with 6 intervals. Thus:
3 ÷ 6 = 0.5, which is our width for each rectangle.
Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:
0.5, 1, 1.5, 2, 2.5, 3
Evaluate:
(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =
Simplify:
0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875
We are given an angle of 60° and a side of 15 cm.
We are given the opposite and is looking for the hypotenuse so we will use the sine ratio to find x.
sin = opp/hyp
hyp = 15 / sin 60
hyp = 17.32...
//
We can also use the tangent ratio to find the adjecent and then use pythagorean to find x.
tan = opp/adj
adj = 15 / tan 60
adj = 8.660.....
8.660....² + 15² = 300²
since the square root of 300 is an irrational number, we have to turn it into a mixed radical.
The answer would be the top one.
Answer: 11,600
Step-by-step explanation: 10³ = 10 x 10 x 10 = 1,000.
1,000 x 6.4 = 6,400.
1,000 x 5.2 = 5,200.
6,400 + 5,200 = 11,600
For Question 1:
angle CAB, angle ABC, angle BCA
Question 2: angle BCD
<h3>Given:</h3>
- Hemisphere ×2 or sphere
- Cylinder
<h3>Solution:</h3><h3>Volume of the sphere:</h3>



<h3>Volume of the cylinder:</h3>



<h3>Total volume:</h3>


<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>compound</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>108.91</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>