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slega [8]
3 years ago
11

Rylan paid a total of $2,961.00, including principal and interest, over an 11-month period, to pay off his credit card. Choose t

he equation that could be used to solve how much, on average, he paid in addition to the $98.00 average minimum monthly payment.
Group of answer choices

98x + 11 = 2,961

(98 + x)11 = 2,961

11x + 98 = 2,961

98(11 + x) = 2,961
Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

Answer: I would go with C

Step-by-step explanation: if correct please mark brainliest

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Find all solutions of each equation on the interval 0 ≤ x < 2π.
Korvikt [17]

Answer:

x = 0 or x = \pi.

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}.

\displaystyle \sec{x} = \frac{1}{\cos{x}}.

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, \sin^{2}{x} = 1 - \cos^{2}{x}. Therefore, for the square of tangents,

\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}.

This equation will thus become:

\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2.

To simplify the calculations, replace all \cos^{2}{x} with another variable. For example, let u = \cos^{2}{x}. Keep in mind that 0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1.

\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2.

\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2.

Solve this equation for u:

\displaystyle \frac{u^{2} + 1}{u^{2}} = 2.

u^{2} + 1 = 2 u^{2}.

u^{2} = 1.

Given that 0 \le u \le 1, u = 1 is the only possible solution.

\cos^{2}{x} = 1,

x = k \pi, where k\in \mathbb{Z} (i.e., k is an integer.)

Given that 0 \le x < 2\pi,

0 \le k.

k = 0 or k = 1. Accordingly,

x = 0 or x = \pi.

8 0
3 years ago
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Find the area of a circle with radius = 12 yd. Use i æ3.14.​
Anarel [89]
(A = π r²)

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3 years ago
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MA_775_DIABLO [31]

Answer:

m<3 = 97

m<10 = 97

m<9 = 83

m<5 = 97

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Step-by-step explanation:

m<3 = m<2 because of vertical angles

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