Hey!
Hope this helps...
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So we know that all the denominators are multiples of 3, and the numerators are multiples of 2...
we also know that the fraction 5/6 is a dummy fraction (which means, it will not help us at all)
We know that the numerators (from 5/9 and on), are constantly multiplied by 2, and the denominators (from 5/9 and on) are constantly multiplied by 3...
So by this information, we know that the answer must be 40/243
This is because 20 * 2 = 40
And 81 * 3 = 243
So... put them together, and you get 40/243
Answer:
690
Step-by-step explanation:
640 + 50 = 690
Answer:
485.9 mm³
Step-by-step explanation:
The volume of a sphere is 4/3 π r³. So the volume of a hemisphere is half of that:
<h3>V = (2 / 3) π r³</h3>
V = 128π/3
The formula for the volume of a cylinder is V = Bh or V = πr²h .
The radius of the cylinder is 4mm and the height is 7mm
Substitute 4 for r and 7 for h in the formula V = πr²h .
<h3>V=π(4)²(7)</h3>
V = 112π
Since the figure is made up of a hemisphere and cylinder so volume will be sum of these two shapes
<h3>V = 128π/3 + 112π</h3>
= 485.9 mm³
To find the value of y, you need to plug a value into the x variable, in this case -8.
4x + 9y = -14 Substitute -8 for x
4 (-8) + 9y = -14 Multiply
-32 + 9y = -14 Start isolating the variable by adding 32 to both sides
9y = 18 Divide both sides by 9
y = 2
When x = -8, y = 2