The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches. The Minimum allowable l
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Total number of cubic inches of cheese sauce in container = Volume of cylinder =
Option A is correct.
Step-by-step explanation:
The diameter of cylinder = 16 inches
The height of cylinder = 7 inches
Total number of cubic inches of cheese sauce in container = Volume of cylinder = ?
The formula used to find Volume of cylinder is:
We are given diameter of cylinder while we need radius according to formula.
So, radius = diameter/2
radius = 16/2
radius = 8
Putting values and finding volume:
So, Total number of cubic inches of cheese sauce in container = Volume of cylinder =
Option A is correct.
Keywords: Volume of cylinder
Learn more about Volume of cylinder at:
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Answer:
x = ± - 3
Explanation:
I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)
(x-3)(x+9)=27
Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)
x^2 + 9x - 3x - 27
(first+ inner + outer + last)
x^2 + 9x - 3x - 27 = 27
Combine like terms, and add 27 to both sides.
x^2 + 6x - 27 + 27 = 27 + 27
x^2 + 6x = 54
Let's complete the square, because factoring doesn't work, and because it's good practice.
x^2 + 6x + ___ = 54 + ____
In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.
x^2 + 6x + 9 = 54 + 9
Now we've got a perfect square factor:
(x + 3)^2 = 63
sqrt(x+3)^2 =
x + 3 = ±
x = ± - 3
Answer:
1
Step-by-step explanation:
Factorise numerators/ denominators where possible
3x² - 4x + 1 = (x - 1)(3x - 1)
x² - 1 ← is a difference of squares and factors as
x² - 1 = (x - 1)(x + 1)
Expressing the product in factored form
×
Cancel common factors on numerator/denominator, that is
Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1