Answer:
x=3cm
Step-by-step explanation:
This is a basic proportion question.
2/18 = x/27
Answer:
2
Step-by-step explanation:
every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other
Answer:
![\huge \boxed{ \red{ \boxed{c)78 \: units ^{2} }}}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%20%5Cred%7B%20%5Cboxed%7Bc%2978%20%5C%3A%20units%20%5E%7B2%7D%20%7D%7D%7D)
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>
<h3>let's solve:</h3>
![\sf sustitute \: the \: value \: of \: \theta \: and \: r : \\ A_{shaded} = \frac{140}{360} \times \pi \times {8}^{2}](https://tex.z-dn.net/?f=%20%5Csf%20sustitute%20%5C%3A%20the%20%5C%3A%20value%20%5C%3A%20of%20%5C%3A%20%20%5Ctheta%20%5C%3A%20and%20%5C%3A%20r%20%3A%20%20%5C%5C%20A_%7Bshaded%7D%20%3D%20%20%5Cfrac%7B140%7D%7B360%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%20%20%7B8%7D%5E%7B2%7D%20)
![\sf simpify \: squre : \\ A_{shaded} = \frac{140}{360} \times \pi \times 64](https://tex.z-dn.net/?f=%20%5Csf%20simpify%20%5C%3A%20squre%20%3A%20%20%5C%5C%20A_%7Bshaded%7D%20%3D%20%20%5Cfrac%7B140%7D%7B360%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%20%2064)
![\sf simpify \: fraction: \\ A_{shaded} = \frac{7}{18} \times \pi \times 64](https://tex.z-dn.net/?f=%20%5Csf%20simpify%20%5C%3A%20fraction%3A%20%20%5C%5C%20A_%7Bshaded%7D%20%3D%20%20%5Cfrac%7B7%7D%7B18%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%20%2064)
![\sf reduce \: 64: \\ A_{shaded} = \frac{7}{ \cancel{ \: 18} \: ^{9} } \times \pi \times \cancel{ 64} \: ^{32} \\ A_{shaded} = \frac{7}{9} \times \pi \times 32\\ A_{shaded} = \frac{224\pi}{9}](https://tex.z-dn.net/?f=%20%5Csf%20%20reduce%20%5C%3A%2064%3A%20%20%5C%5C%20A_%7Bshaded%7D%20%3D%20%20%5Cfrac%7B7%7D%7B%20%5Ccancel%7B%20%5C%3A%2018%7D%20%5C%3A%20%20%5E%7B9%7D%20%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%20%20%5Ccancel%7B%2064%7D%20%20%5C%3A%20%5E%7B32%7D%20%20%5C%5C%20A_%7Bshaded%7D%20%3D%20%20%5Cfrac%7B7%7D%7B9%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%2032%5C%5C%20A_%7Bshaded%7D%20%3D%20%20%5Cfrac%7B224%5Cpi%7D%7B9%7D%20)
![\large A_{shaded}\approx 78 \: square \: units](https://tex.z-dn.net/?f=%5Clarge%20A_%7Bshaded%7D%5Capprox%2078%20%5C%3A%20square%20%20%5C%3A%20units%20)
Under Daily flat rate, we would have 22 and 0.15x
Under Cost per mile, we would have 0.15
Under Number of Miles Driven, we would have x
Answer:
Step-by-step explanation:
a = 2, b = 1, c = -3
We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.
a * c = 6 and the factors of 6 and 1 and 6, 2 and 3. Well, 6 - 1 doesn't equal 1 and neither does 6 + 1. So our factors are 3 and 2. In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1. That means that 3 is positive and 2 is negative. Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):
![2x^2+3x-2x-3=0](https://tex.z-dn.net/?f=2x%5E2%2B3x-2x-3%3D0)
Group the first 2 terms together and the second 2 term together in order to factor:
and factor out what's common in each set of parenthesis.
![x(2x+3)-1(2x+3)=0](https://tex.z-dn.net/?f=x%282x%2B3%29-1%282x%2B3%29%3D0)
Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with. We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same. Ours are identical: (2x + 3). That is common now, and can be factored out:
![(2x+3)(x-1)=0](https://tex.z-dn.net/?f=%282x%2B3%29%28x-1%29%3D0)
That matches your first choice