Answer: The correct answer is B; 10,240π in³
Step-by-step explanation: To calculate the volume of a cylinder, the given formular is
Volume = π r² h, where
radius (r) = 16
height (h) = 40
Pi (π) = 3.14
It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.
Therefore, inserting the values of radius, height and pi into our formular, we now have;
Volume = π r² h
Volume = π x 16² x 40
Volume = π x 256 x 40
Volume = π x 10,240
Therefore the exact volume of the cylinder = 10,240π in³
If you would like to know which subtraction expression has the difference 1 + 4i, you can calculate this using the following steps:
a. (–2 + 6i) – (1 – 2i) = –2 + 6i – 1 + 2i = –3 + 8i
b. (–2 + 6i) – (–1 – 2i) = <span>–2 + 6i + 1 + 2i = </span>–1 + 8i
c. (3 + 5i) – (2 – i) = 3 + 5i – 2 + i = 1 + 6i
d. (3 + 5i) – (2 + i) = 3 + 5i – 2 – i = 1 + 4i
The correct result would be <span>d. (3 + 5i) – (2 + i).</span>
Answer:
ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
Lets use x as the number of CD's that she will buy in a month. So knowing that, our inequality can look like this. 7 + 10x < or = 100. Why? because we will have to multiply 10 with the number of CDs she will purchase in a month to get the total she spends. Hence 10 times x. She also has to add a 7 membership fee per month to this. Also, she has to remember that what she paid has to be less or equal to 100 because the problem states that she spends no more than 100 a month.
An 8 by 2 rectangle
have a nice day!
