X=4. 4/2=2 and 8/4=2 making the equations equal
The answer is 44.85. Hope this helped! :)
Answer:
{4 + 2√3, 4 - 2√3} thus the solution is A. x = 4 + 2 sqrt(3) or x = 4 - 2 sqrt(3)
Step-by-step explanation:
Solve for x over the real numbers:
(x - 4)^2 = 12
Take the square root of both sides:
x - 4 = 2 sqrt(3) or x - 4 = -2 sqrt(3)
Add 4 to both sides:
x = 4 + 2 sqrt(3) or x - 4 = -2 sqrt(3)
Add 4 to both sides:
Answer: x = 4 + 2 sqrt(3) or x = 4 - 2 sqrt(3)
9514 1404 393
Answer:
a, b, c --- all <em>not</em> representative
Step-by-step explanation:
The question posed by the engineer is "are residents of the city in favor of ...".
The only representative sample is one from a pool that includes <em>all residents of the city</em>—not just those who (a) use the road, (b) live along the road, or (c) own homes.
__
<em>Additional comment</em>
The engineer may want to refine the question. As posed, it would include children, homeless, and/or institutionalized residents of the city as well as drivers and tax-payers. In inclusive cultural traditions, "residents of the city" may also include animals, plants, water, air, and other holders of spiritual energy.
Step 1:
Calculate the measure of angle ∠ABC
From the triangle in the question,
Step 2:
Calculate the value of AB using the cosine rule below
By substituting the values, we will have
![\begin{gathered} b^2=a^2+c^2-2\times a\times c\times\cos B \\ b^2=10^2+15^2-2\times10\times15\times\cos 115^0 \\ b^2=100+225-300\times(-0.4226) \\ b^2=325+126.78 \\ b^2=451.78 \\ \text{Square root both sides} \\ \sqrt[]{b^2}=\sqrt[]{451.78} \\ b=21.26\operatorname{km} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%5E2%3Da%5E2%2Bc%5E2-2%5Ctimes%20a%5Ctimes%20c%5Ctimes%5Ccos%20B%20%5C%5C%20b%5E2%3D10%5E2%2B15%5E2-2%5Ctimes10%5Ctimes15%5Ctimes%5Ccos%20115%5E0%20%5C%5C%20b%5E2%3D100%2B225-300%5Ctimes%28-0.4226%29%20%5C%5C%20b%5E2%3D325%2B126.78%20%5C%5C%20b%5E2%3D451.78%20%5C%5C%20%5Ctext%7BSquare%20root%20both%20sides%7D%20%5C%5C%20%5Csqrt%5B%5D%7Bb%5E2%7D%3D%5Csqrt%5B%5D%7B451.78%7D%20%5C%5C%20b%3D21.26%5Coperatorname%7Bkm%7D%20%5Cend%7Bgathered%7D)
Hence,
The distance of point A to point C is = 21.26km
