Answer:
x = 33°
Step-by-step explanation:
sin x = 6/11
sin x = o.5455
x = 33°
Answer:
A) When using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. True.
The Shell method is a technique used to find the volume of a solid of revolution. Here, we take thin shells with axis coinciding with the axis about which the region whose volume is to be found, is revolved.
B) If a region is revolved about the y-axis, then the shell method must be used. False.
This method can be used with any axis of rotation.
C) If a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y. True.
The washer method uses thin disks with infinite width but the shell method uses thin concentric shells with infinite width about the axis of revolution. So, the statement is true.
There are only two steps to solve this problem.
The first step is to multiply the whole number (8) by the numerator (1). 8 times 1 equals 8, so 8 is our new numerator and our fraction should look like: 8/4.
The second step is to simplify it down even further. To do so, you need to figure our what multiples by 4 to get the answer of 8. 4 times what equals 8? The answer should be 2, since 4 times 2 multiples to 8.
The answer is: 2.
Answer:
y= 6x-9
Step-by-step explanation:
1. First find the gradient between the two points. Gradient =6
2. Using the formula y= mx+c substitute the gradient into the equation. You'll get something like this: y= 6x+c
3. Substitute the point (4,15) into the equation. You'll get something like this: 15= 6(4) +c.
4. Calculate the value of c. You'll get - 9 as an answer to that.
5. Substitute the value of c into the original equation. Your final answer will be y= 6x-9
A - avocados, G - grapes, K - kiwis.
We know that: A = 3G, K = A - 0.75
So: G = A / 3
A + G + K = 16.75
A + A/3 + A - 0.75 = 16.75
7/3 A = 16.75 + 0.75
7/3 A = 17.50
A = 17.50 : 7/3
A = $7.50
G = 7.50 : 3 = $2.50
K = 7.50 - 0.75 = $6.75
Answer:
Prices of the fruits are A = $7.50, G = $2.50 and K = $6.75.
