1- Let the triangle be ABC, where A is the point of intersection between the shadow and the ground and BC the height of the statue.
The angle of elevation of the sun is equal to the angle CBA (corresponding), so we can write :
tan (50°) = CB (height of statue) / BA (length of shadow)
tan (50°) = CB/30 ==CB = 30 x tan (50°) = 30 x 1.1917 = 35.8 ft
2 A- P =P₀ (1+i)ⁿ Where P₀ is the initial population, I the rate of growth of the population, P the population after a period of n years and n, the number of tears. (in the problem t = n)
P = 8500 (1 + 4.5%)ⁿ . This is the requested answer (don't forget n=t)
2 B- When P =70,000
70,000 = 8,500(1+0.045)ⁿ . Divide both sides by 8500
70,000/8,500 = (1+0.045)ⁿ
2.108 = (1.045)ⁿ
ln(2.108) = n. ln(1.045) and n = t = 16.94 ≈ 20 years
3- Your 3rd question is full of error. Rewrite it and I will help you
Answer:
4
Step-by-step explanation:
The greatest common factor of 8 and 36 is 4.
Hope this helps!
Answer:
32 classmates and each classmate pays $19 per ticket. This is a multiplication problem. We can solve this a couple of ways:
32
*19
-------
288
320
-------
608
Another way is to realize 19 is nearly 20, multiply 32 by 20 and then subtract 32:
32
*20
------
640
640
-32
-----
608
So, the answer is $608
Answer: 82 degrees
Step-by-step explanation: