Answer:
1.9 inches
Step-by-step explanation:
We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,
→ π × r² × h = 384
⇒ Substitute in 8 for 'r'
→ π × 8² × h = 384
⇒ Simplify
→ π × 64 × h = 384
⇒ Divide both sides by 64 to isolate π and h
→ π × h = 6
⇒ Divide both sides by π to isolate 'h' and find the value of the height
→ h = 1.9098593171
The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches
Answer:
Answer to all three points is NO.
Step-by-step explanation:
Case 1:
![\lim_{x \to \>>1} f(x)= 1](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%5C%3E%3E1%7D%20f%28x%29%3D%201)
Answer : NO, It is important to note that the even if function is not defined, the limit of function can exist and it doesn't mean that f(x) must necessarily be defined at x = 1
Case 2:
Answer : No, because it could be a piece wise function even if f is defined, where f(1) might have different values while approaching from right and left side of limits.
Case 3:
Answer: No, value of f(1) can not be concluded
Elliot made 10 hats and 10 scarves from the yarn of cloth.
<h3>Equations</h3>
Equation show the relationship between variables.
Let h represent the of hats and s represent the number of scarfs.
Elliott wants to use twice as much yarn for scarves as for hats, hence:
0.2s = 2(0.1)h
Also, she wants to make a total of 20 items. Therefore:
Solving equations 1 and 2 simultaneously gives:
s = 10, h = 10
Therefore Elliot made 10 hats and 10 scarves from the yarn of cloth.
Find out more on equations at: brainly.com/question/13763238
Answer:
85 if the "2" in 10w(2) is being multiplied.
But if not, then
115 if the "2" in 10w2 is an exponent.