Answer:
50 degrees
Step-by-step explanation:
We know that an inscribed angle in a circle is 1/2 the arc that it inscribes. So, therefore the arc is inscribed by the 25 degrees is 50. Assuming that the center of the circle is O, the center angle will be the arc measure. Knowing this, angle a is 50 degrees. If you're curious about all these theorems, they can be proved using similar triangles.
fyi, using the same logic, angle b is 25 degrees
Answer:
x = -5/31
Step-by-step explanation:
5(5x + 1) = 3x - 9x multiply 5 with the inside of the parenthesis, 5(5x + 1) = 25x + 5
25x + 5 = 3x - 9x add the like terms, 31x = -5 and x = -5/31
Answer:
44.16 ; 4.88
Step-by-step explanation:
Recall :
Mean, μ = np
Sample size, n = 96
Sample proportion, p = 0.46
For the mean :
Mean, μ = 96 * 0.46
0.46 * 96 = 44.16
The standard deviation :
σ = √npq
q = 1 - p = 1 - 0.46 = 0.54
σ = √npq = √(96 * 0.46 * 0.54)
σ = √23.8464
σ = 4.88
Answer:
Return on equity (ROE) = profit margin × asset turnover × financial leverage
Step-by-step explanation:
Return on equity (ROE) = profit margin × asset turnover × financial leverage
Which can be written as:
ROE = (net income÷ sales) × (sales ÷ total assets) × (total asset ÷ average shareholder equity)
