Answer:
x=5 y=0
Step-by-step explanation:
![x = - 2y + 5 .......(3)\\ putt \: value \: in \: eq \: 2 \\ 3( - 2y + 5) + 6y = - 10 \\ - 6y + 15 + 6y = - 10 as \: te \: value \: after \\subtraction \:is \: 0 \\ y = 0 \\ put \: the \: value \: of \: y \:in \: eq3 \\ x = - 2(0) + 5 \\ x = 5](https://tex.z-dn.net/?f=x%20%3D%20%20-%202y%20%2B%205%20.......%283%29%5C%5C%20putt%20%5C%3A%20value%20%5C%3A%20in%20%5C%3A%20eq%20%5C%3A%202%20%5C%5C%203%28%20-%202y%20%2B%205%29%20%2B%206y%20%3D%20%20-%2010%20%20%20%5C%5C%20%20-%206y%20%2B%2015%20%2B%206y%20%3D%20%20-%2010%20as%20%5C%3A%20te%20%5C%3A%20value%20%5C%3A%20after%20%5C%5Csubtraction%20%5C%3Ais%20%5C%3A%200%20%5C%5C%20y%20%3D%200%20%5C%5C%20put%20%5C%3A%20the%20%5C%3A%20value%20%5C%3A%20of%20%5C%3A%20y%20%5C%3Ain%20%20%5C%3A%20eq3%20%5C%5C%20x%20%3D%20%20-%202%280%29%20%2B%205%20%5C%5C%20x%20%3D%205)
Answer:
![178.98\ \text{m}^2](https://tex.z-dn.net/?f=178.98%5C%20%5Ctext%7Bm%7D%5E2)
Step-by-step explanation:
d = Diameter of flower bed = 16 m
Thickness of sidewalk = 3 m
r = Radius of flower bed = ![\dfrac{d}{2}=\dfrac{16}{2}=8\ \text{m}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7B2%7D%3D%5Cdfrac%7B16%7D%7B2%7D%3D8%5C%20%5Ctext%7Bm%7D)
R = Radius of flower bed with sidewalk = ![8+3=11\ \text{m}](https://tex.z-dn.net/?f=8%2B3%3D11%5C%20%5Ctext%7Bm%7D)
The required area is given by
![A=\pi(R^2-r^2)\\\Rightarrow A=3.14\times (11^2-8^2)\\\Rightarrow A=178.98\ \text{m}^2](https://tex.z-dn.net/?f=A%3D%5Cpi%28R%5E2-r%5E2%29%5C%5C%5CRightarrow%20A%3D3.14%5Ctimes%20%2811%5E2-8%5E2%29%5C%5C%5CRightarrow%20A%3D178.98%5C%20%5Ctext%7Bm%7D%5E2)
The radius of the sidewalk is
.
For a vector:
cos^2(α) + cos^2(β) + cos^2(γ) = 1
From the givens:
α = π/4, therefore, cos(α) = 1/root 2 and cos^2(<span>α) = 1/2
</span>β = π/3, therefore, cos(β) = 1/2 and cos^2(<span>β) = 1/4
Substitute in the above equation:
1/2 + 1/4 + </span>cos^2(γ) = 1
cos^2(γ) = 1 - 1/2 - 1/4
cos^2(γ) = 1/4
cos(γ) is either 1/2 or -1/2
For cos(γ)= 1/2 .......> γ = <span>π/3
For </span>cos(γ)= -1/2 .......> γ = 2π/3
Answer:
Yes is wmdp cause if 3/4 and 1/3 are the same as 1/14
Step-by-step explanation:
Y= -6 because you do -8 plus 16 you get 24, then 24 divided by -4 and that is -6.