The answer is C.0.2
That’s what I got
Answer:
Step-by-step explanation:
Volume of the butter in the cardboard = 31.25 cubic inches
Length of the Molded Square Prism =5 Inches
Let the length of the square cross sectional area = x
Volume of the Prism
Since l=5 Inches
Next, we determine the surface area of the New Cardboard box to be made.
Length of the Cardboard Box=5 Inches
Length of the square cross sectional area = 2.5 Inches
Total Surface Area
Therefore, of cardboard is needed,
Answer:
r = √13
Step-by-step explanation:
Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms: x^2 + 6x + y^2 -2y = 3. Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."
We need to "complete the square" of x^2 + 6x. I'll just jump in and do it: Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x: x^2 + 6x + 3^2 - 3^2. Then do the same for y^2 - 2y: y^2 - 2y + 1^2 - 1^2.
Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2. Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1. Making these replacements:
(x + 3)^2 - 9 + (y - 1)^2 -1 = 3. Move the constants -9 and -1 to the other side of the equation: (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13
Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r: r^2 = 13, so that the radius is r = √13.
The magnitude of -1-5i is √26.
<h3>What is the magnitude of -1-5i ?</h3>
Given the complex expression; -1 - 5i
To find the magnitude, we use the formula;
| a+bi | = √[ a² + b² ]
| a+bi | = √[ a² + b² ]
| -1-5i | = √[ (-1)² + (-5)² ]
| -1-5i | = √[ 1 + 25 ]
| -1-5i | = √26
Therefore, the magnitude of -1-5i is √26.
Learn more about magnitudes here: brainly.com/question/18152189
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Answer:
see below
Step-by-step explanation:
Since the quadrilateral is inscribed in the circle, the opposite angles add to 180.
<V+ <B = 180
74+ <B = 180
Subtract 74 from each side
74-74+ <B = 180-74
<B = 106
We now need to find arc AB
Arc AC is 2* <V = 2*74 =154
We know arc AC = arc AB + arc BC
154 = arc AB + 86
Subtract 86 from each side
154-86 = arc AB + 86 -86
68 = arc AB
