Answer:
20π or 62.8
Step-by-step explanation:
Volume of a cone = 1/3πr²h
1/3(π)(2)²9
= 12π or 37.7
Volume of a hemisphere = 2πr²/3
2(π)(2)²
= 8π or 25.1
Total Volume = 20π or 62.8
Answer:
(3x - 2)
Step-by-step explanation:
6x² - 7x + 2 can be factored using the trial and error method, the AC method, factoring by grouping, or using the quadratic formula
i will use factoring by grouping to solve
to factor by grouping: we divide the expression into 4 terms. since there are only 3 terms, we need to expand the expression. to do this, we can write 7x as a subtraction.
6x² - 3x - 4x + 2
now that we have 4 terms, we can factor by grouping by dividing the expression in half:
(6x² - 3x) (-4x + 2)
lets look at 6x² - 3x: what GCF do they have in common? both have 3x as a common factor so we will factor out 3x from the expression
3x (2x - 1)
now we take a look at -4x + 2: what GCF do they have in common? we want to have (2x - 1) as a result of the factoring job, so what number gives us that? we would have to get rid of that negative, so lets factor out -2 from the expression:
-2 (2x - 1)
the expression looking like the following:
3x (2x - 1) - 2 (2x - 1)
we can put 3x and -2 into their own factor as we have 2x - 1 as a factor already and there is no need to repeat that
(3x - 2) (2x - 1)
the missing factor is (3x - 2)
Answer: 3/8
Step-by-step explanation:
Formula is,
P(A|B) = P(A and B) / P(B)
= (3/10) / (4/5)
= 3/8
The image is very pixelated and I cannot see the questions
y - y1 = m(x - x1) is the general point slope form
y - 3 = 5(x - 4) plug in the given values
y - 3 = 5x - 20
y = 5x - 20 + 3
y = 5x - 17
The answer in slope intercept form is y = 5x-17
If you want to convert to standard form, then
y = 5x - 17
y+17 = 5x
17 = 5x - y
5x - y = 17 which is the answer in standard form (Ax + By = C)