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°
Answer:
x1= -6 x2=6
Step-by-step explanation:
x^2-10 = 26
x^2 = 26 +10
x^2 = 36
x = sqrt(36)
x = -6 or x = 6 because both 6 and -6 squared are equal to 36
Answer:
25 + 0.55x ≤ 212
Step-by-step explanation:
Bart can only spend 212, hence the less than or equal to symbol. The cost of using the car must be at most 212, so 25 and 0.55x are on the same side. 0.55x represents the cost of driving an unknown amount of miles.
Answer:
Step-by-step explanation: Answer to ol in your answer.) What are mZA, mZB, and mZC? mZA= (Round to one decimal place as needed. Do not include the degree. I hope this either gives you a quick hint and a tip. Thank you and have a good day.
The rational numbers who absolute value is 11 by 13 are recurring decimal fraction.
Step-by-step explanation:
The rational numbers are included in the real numbers. On the other hand, they include the integers, natural numbers. In mathematics, a rational number is any number that can be expressed as the fraction p/q of two integers, a numerator p and a non-zero denominator q.
Absolute value means non-negative number with the same magnitude as a given number. In mathematics, the absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.
Rational numbers consists of fractions which are of rational form following recurring and terminating fraction rules.
11 / 13 is a recurring fraction as it's rounded value is 0.846......