Answer:
x^15y^12
Step-by-step explanation: you just take the number outside the "()" and multiply it to the 5 and 2. :)
For the first question part a. The volume of a round cake pan is V=πr^2h or 76.97. The volume of the rectangle pan is V=whl or 108. The rectangular pan has a larger volume.
For part b of the second question, for the rectangular cake you do. A=2(hl+hw)+wl or 114. For the circular cake it is 2πrh+2πr2-38.48 or 82.47.
The second question you asked is easy. The answer is 3, 4, 7, 9, 10, 11, 13
3x^4y^3 - 15 x^2y^2 +6xy
we can factor out 3xy
3xy(x^3y^2 -5xy+2)
we cannot factor any further
Choice A
Answer:
Area = 102
Step-by-step explanation:
Length 1 side of the octagon.
The formula for the side of an octagon (given the radius of 6) is
s^2 = 2*R^2(1 - cos(45) )
s^2 = 2*6^2(1 - sqrt(2)/2)
s^2 = 72 ( 1 - 0.707)
s^2 = 72*0.2929
s^2 = 21.09
s = sqrt(21.09)
s = 4.5922
===============
Height of one triangle =
H = R * cos(22.5)
H = 6 * 0.9329
H = 5.5433
===============
Area of 1 triangle
Area = 1/2 * s * h
Area = 1/2 * 4.5922*5.4433
Area = 12.7279
Area of 8 triangles
Area of 8 triangles = 1 triangle * 8
Area of 8 triangles = 101.82
Rounded that comes to 102
Comment
I'm sure you can find a formula for this on the internet, but it this is the way the formula works and if you break it down step by step, you can see how the formula works.
Based on the inscribed quadrilateral conjecture: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.
<h3>What is the Inscribed Quadrilateral Conjecture?</h3>
The inscribed quadrilateral conjecture states that the opposite angle of any inscribed quadrilateral are supplementary to each other. That is, they have a sum of 180 degrees.
From the diagram given, the opposite angles in the trapezoid, 115 + 65 = 180 degrees.
Therefore, we can conclude that: trapezoid QPRS can be inscribed in a circle because its opposite angles are supplementary.
Learn more about the inscribed quadrilateral conjecture on:
brainly.com/question/12238046
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