Answer:
a) 1/8 b) 1/6
Step-by-step explanation:
b) 6/36 = 1/6
a) 1/2 x 1/2 x 1/2 = 1/8
9514 1404 393
Answer:
y = -1/2x + 3
Step-by-step explanation:
It can work to start with the 2-point form of the equation for a line.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (1 -5)/(4 -(-4))(x -(-4)) +5 . . . . . fill in point values
y = -4/8(x +4) +5 . . . . . . . . simplify a bit
y = -1/2x -2 +5 . . . . . .eliminate parentheses
y = -1/2x +3 . . . . collect terms
Answer:
35000×10.2%=3570 Interest will be paid
35000+3570=38570 full amount will be paid in the bank
Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
