Answer:
$20.40
Step-by-step explanation:
First of all we find the value of 10%, so we do 24 ÷ 10 which equals to 2.4, then we find the halved value of 2.4, so we do 2.4 ÷ 2 which equals to 1.2. Then we add 2.4 and 1.2 together, which then gives us 3.6 as the number. We then subtract 3.6 from 24 which gives us 20.4, but we need in money terms so we change it to $20.40. Hope this helps.
Answer :
⠀
Explanation :
We know,
Where,
- <em>r</em> is the radius of the cylinder. Here, the radius is 4 cm
- <em>h</em> is the height of the cylinder. Here, height is 6 cm
- Here, we will take the value of π as 3.14 approximately .
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Substituting the values in the formula :
⠀
⠀
⠀
⠀
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Therefore,
- The volume of the cylinder is 301.44 cm³ approximately.
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
The answer is c, 6/9, because 0.75 equals 3/4 in fraction form, and 6/9 reduces to 2/3.
Answer:
y = -3/2x + 5/2
Step-by-step explanation:
Point: (5, -5)
Parallel to: y = -3/2x + 2
Slope= -3/2 (parallel lines have the same slope)
y-intercept = -5 - (-3/2)(5) (y - slope times x) =
-5 + 15/2 = 5/2