The answer should be A, if he marked it up 70% just multiply 66 by 1.7 for your answer.
Answer:
14/33
Step-by-step explanation:
The total amount of beads is 8+4 = 12. 8 of these are black beads, so that is what we want, so 8/12 or 2/3. For the second one, one black bead is already taken so 8-1 = 7 are left and for the total 12 - 1 = 11 are left, so 7/11. Multiply this by 2/3 and we get 14/33.
Answer: 66 degrees
Explanation:
Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.
Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees
Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.
So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x
x+24 = 90
x+24-24 = 90-24
x = 66
That is why angle CDE is 66 degrees
Answer:
![= 6911.5 {cm}^{3} \\](https://tex.z-dn.net/?f=%20%3D%206911.5%20%7Bcm%7D%5E%7B3%7D%20%20%5C%5C%20)
Step-by-step explanation:
![v = \pi {r}^{2} h \\ = \pi \times {10}^{2} \times 22 \\ = 6911.5 {cm}^{3}](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h%20%5C%5C%20%20%3D%20%5Cpi%20%5Ctimes%20%20%7B10%7D%5E%7B2%7D%20%20%5Ctimes%2022%20%5C%5C%20%20%3D%206911.5%20%7Bcm%7D%5E%7B3%7D%20)
hope this helps you.
The correct answer is option C.
The solution is shown below:
(8 - 3i)(6 + 5i)
= 8(6 +5i) - 3i(6 + 5i)
= 48 + 40i - 18i - 15i²
= 22i + 48 - 15(-1)
= 22i + 48 + 15
= 22i + 63
= 63 + 22i