Answer:
14 x + 9
Step-by-step explanation:
Answer:
The Least Common Multiple (LCM) is: 19 x 43 = 817
Step-by-step explanation:
9514 1404 393
Answer:
∠Y = 55°
Step-by-step explanation:
Complementary angles have a sum of 90°.
∠S + ∠Y = 90°
(5∠Y -240°) +∠Y = 90°
6∠Y = 330° . . . . . . . . . . . . add 240°, collect terms
∠Y = 55° . . . . . . . . . divide by 6
Answer:
(x + 5.66, y + 5.66) where (x, y) is the location of the crater
Step-by-step explanation:
Locating volcano's crater at (0, 0), the new vent is at angle equal to 45° respect x-axis, and at distance of 8 km from the crater. In polar coordinates that is radius (r) = 8, angle (α) = 45°. We are asked to transform these polar coordinates into rectangular coordinates. To do it, we have to use the following formulas:
x = r*cos α = x = 8*cos 45 = 5.66
y = r*sin α = 8*sin 45 = 5.66
If the crater is at position (x, y) then the vent would be translated at position (x + 5.66, y + 5.66)