Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°
You are correct!
Hope this helps!
Simple Interest Formulas and Calculations:
Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)
Calculate Principal Amount, solve for P. P = A / (1 + rt)
Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)
Calculate rate of interest in percent. ...
Calculate time, solve for t.
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Jeni gets paid $ 303.75 for 3 days
<em><u>Solution:</u></em>
Given that,
Jeni works from 8:00-3:15 three days in a row
<em><u>Find the number of hours between 8 : 00 to 3 : 15</u></em>
8 : 00 to 3 : 15 = 7 hours 15 minutes
She is taking half-hour unpaid lunch break each day
7 hours 15 minutes - half an hour = 6 hours 45 minutes
So, she works for 6 hours 45 minutes for each three days
She is paid $15 per hour
<em><u>Therefore, total earnings for 3 days is given as:</u></em>
Thus she gets paid $ 303.75 for 3 days
