The tangent of the angle is
... tan(α) = ay/ax = -8.6/6.1
Then the angle (measured CCW from +x) is
... α = arctan(-86/61) ≈ 305°
In a parallogram the two angles on the same side ( Angle T and Angle C) equal 180 degrees
So we have 8x +29 + 2x +11 = 180
combine the like terms:
10x + 40 = 180
Subtract 40 from each side:
10x = 140
Divide each side by 10:
X = 140 /10
X = 14
Now we have X, replace X into the equation for angle C
2(14) +11 = 28 + 11 = 39 degrees
What is m months
i could be able to solve it if i knew what m months were
Answer:
$643.50
Step-by-step explanation:
Let i be the profit realized from the sale and d be the discount made on the sale:
#John's selling price can be calculated by first adding profit, i to $450, the d to the new price as:
![P_n=P_o(1+i)+d[P_o(1+i)]\\=450(1+0.3)+0.1[450(1+0.3)]\\\\\\=450\times 1.3+0.1(450\times1.3)\\\\=585+58.5\\\\=643.50](https://tex.z-dn.net/?f=P_n%3DP_o%281%2Bi%29%2Bd%5BP_o%281%2Bi%29%5D%5C%5C%3D450%281%2B0.3%29%2B0.1%5B450%281%2B0.3%29%5D%5C%5C%5C%5C%5C%5C%3D450%5Ctimes%201.3%2B0.1%28450%5Ctimes1.3%29%5C%5C%5C%5C%3D585%2B58.5%5C%5C%5C%5C%3D643.50)
Hence, John will resell the bike at $643.50
Answer:
11.7046999
Step-by-step explanation:
using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:
d=√(6-(-5)² + (0-4)²
d=√(11)²+ (-4)²
d=√121+16
d=√137
d approximately equal to (≈) 11.7046999 or 11.7 or 11
