Answer:
25 boys.
Step-by-step explanation:
To solve this problem, first add the two parts of the ratio. 9 + 5 = 14. Then divide 70 by 14 to get 5. Since the total is 5 times the ratio total, multiply both sides of the ratio by 5. The result is 45 : 25. If you add them together, you get a total of 70. Therefore, there are 25 boys in the class.
Answer:
CEO earns $31,045.5
Step-by-step explanation:
Price of each product = $855
Number of product sold = 250
Total revenue = price × quantity
= 855 × 250
= $213,750
Total expenditure = $6,780
Profits = Total revenue - Total expenditure
= 213,750 - 6,780
= $206,970
Profits = $206,970
The CEO of the company earns 15% of this profit
Amount CEO earns = 15% of $206,970
= 15/100 × 206,970
= 0.15 × 206,970
= $31,045.5
CEO earns $31,045.5
x = 9.21° or x = 22.5°
cot²2x – 4cot2x + 3 = 0
Let cot2x = y
y² - 4y + 3 = 0
Factorizing, we have
y² - y - 3y + 3 = 0
y(y - 1) -3(y - 1) = 0
(y - 1)(y - 3) = 0
y - 1 = 0 or y - 3 = 0
y = 1 or y = 3
Since cot2x = y
cot2x = 1 or cot2x = 3
1/tan2x = 1 or 1/tan2x = 3
tan2x = 1 or tan2x = 1/3
2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)
2x = 45° or 2x = 18.43°
x = 45°/2 or x = 18.43°/2
x = 22.5° or x = 9.21°
So, x = 9.21° or x = 22.5°
Learn more about cotx here:
brainly.com/question/15546709
