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
For this case we have:
1 quarter:
(1) * (0.25) = 0.25 $
2 dimes:
(2) * (0.1) = 0.2 $
13 pennies:
(13) * (0.01) = 0.13 $
Adding we have:
0.25 + 0.2 + 0.13 = 0.58 $
As a fraction:
58/10 = 29/5 $
Answer:
The total amount of money as a fraction and as a decimal are:
$ 29/5
$ 0.58
P= 500. I = 0.04. t=5. plug those numbers into the formula. So 1.04^5 and multiplying it time 500 and the final answer would be 608.33
Answer: 1.92 x 10^8
Step-by-step explanation:
Answer:
b=5
Step-by-step explanation:
C(1,3) and point D(4,-3)
Since we want the equation in slope intercept form we must first calculate the slope (m):
By point slope formula and using point C (1,3) we have:
So the slope is -2 and the y -intercept (b) is 5.
