Answer: Side a equals 19.5 metres
Step-by-step explanation: Consider the right angled triangle as shown in the picture attached. The triangle has been drawn with angle measuring 43 degrees, side c (line AB) measuring 26.7 m and side a (line CB) is yet unknown.
A right angled triangle can be solved if at least one side and an angle are available. In this question we shall apply the trigonometric ratios since we have one angle which shall be the reference angle (43°). Also we have an hypotenuse (the side facing the right angle) and an unknown side which is the adjacent (which lies between the right angle and the reference angle).
Cos B = Adjacent/Hypotenuse
Cos 43 = a/26.7
Cos 43 x 26.7 = a
0.7314 x 26.7 = a
19.52714 = a
a ≈ 19.5 (rounded to the nearest tenth)
Therefore the length of side a equals 19.5 metres.
Answer:

Step-by-step explanation:

Isolate the parts of the equation with the x variable

When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.
Answer:
- tn = 2097152 pennies
- tn = 20971.52 dollars.
Step-by-step explanation:
A surprisingly large amount of money.
The question is "Does the amount of money just double or do the previous amounts add to the present amount?"
I think it just doubles. Not only that, but she can't spend any of it until night 22 is reached.
- tn = a*2^(n - 1)
- a = 1 She starts with 1 penny.
- n = 22
- tn = 1*2^(22 - 1)
- tn = 1*2^21
- tn = 2097152 pennies
- tn = 20971.52 dollars.