<h2>circumference = 87.92ft</h2>
Step-by-step explanation:
radius (r) = 14ft
circumference = 2π×r
= 2 × 3.12 × 14
= 87.92ft
<h2>MARK ME BRAINLIST</h2>
A parallelogram, by definition is a quadrilateral that has two sides that are parallel. From the statement above, given that the two sides are represented by the equations y = 2x+1 and y = -x +3, then the two equations that can represent the two sides are the same - or as is. That would be y = 2x+ 1 and y = -x+ 3
Answer:
x = 3.5
Step-by-step explanation:
By definition, congruent chords are equidistant from the center of a circle. We are given two congruent chords and their distances(the lines perpendicular), meaning those distances must be equal. We set set up an equation to model the situation:
x + 8 = 3x + 1
8 = 2x + 1
2x = 7
x = 3.5
Answer:
V = x³ + 20x² + 124x + 240
Step-by-step explanation:
Volume of a rectangular prism is width times length times height.
V = wlh
Given w = x+4, l = x+10, and h = x + 6:
V = (x + 4)(x + 10)(x + 6)
V = (x + 4)(x² + 16x + 60)
V = x²(x + 4) + 16x(x + 4) + 60(x + 4)
V = x³ + 4x² + 16x² + 64x + 60x + 240
V = x³ + 20x² + 124x + 240
Answer:
![33 - 4x](https://tex.z-dn.net/?f=33%20-%204x)
Step-by-step explanation:
Given the term to be solved by explaining each step:
![13 - 4(x - 5)](https://tex.z-dn.net/?f=13%20-%204%28x%20-%205%29)
First of all, the bracket will be solved as per the BODMAS rule.
The bracket term is:
![4(x-5)](https://tex.z-dn.net/?f=4%28x-5%29)
Now, 4 will be multiplied with
and -5.
i.e.
![4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)](https://tex.z-dn.net/?f=4%28x-5%29%3D%284%5Ctimes%20x-4%5Ctimes%205%29%5C%5C%5CRightarrow%20%284x-20%29)
Now, let us put the value back in the original expression.
![13 - 4(x - 5) = 13-(4x-20)](https://tex.z-dn.net/?f=13%20-%204%28x%20-%205%29%20%3D%2013-%284x-20%29)
Now, let us remove the bracket, negative sign will be multiplied with both i.e.
and -20
negative multiplied with negative makes positive term)
Now, 13 and 20 are like terms, they will be added.
the expression is equivalent to :
![\bold{33-4x}](https://tex.z-dn.net/?f=%5Cbold%7B33-4x%7D)