Area of a circle = πr²
Area of a circle = 3.14 x 11² = 379.94 in²
Area painted in blue = 379.94 ÷ 2 = 189.97 in²
Area painted in purple = 189.97 in²
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Answer: 189.97 in²
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Answer:
12 y
Step-by-step explanation:
π. x².y = ⅓. π (½x) ².h
=> eliminate π,
x²y = ⅓. ¼x².h
=> eliminate x²,
y = 1/12 h
h = 12 y
so, height of the cone = 12 y
Answer:
78 ml of 7% vinegar and 312 ml of 12% vinegar.
Step-by-step explanation:
Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.
We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:


We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be
.
The second brand contains 12 vinegar, so amount of vinegar in y ml would be
.
We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:

Upon substituting equation (1) in equation (2), we will get:







Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.
Upon substituting
in equation (1), we will get:


Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.
It is 2(3x+4) because you distribute the 2
Happy New Year from MrBillDoesMath!
Answer:
1, -2, -3
Discussion:
The real roots of the polynomials are factors of the last term (6) divided by the first term (1). The factors of 6/1 or 6 are 1,2,3, and 6. I found by substitution that x= 1 was a solution, divided the polynomial by x-1, came up with a quadratic (x^2 + 5x + 6), and found the remaining roots via the quadratic formula.
Thank you,
MrB