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ratelena [41]
3 years ago
9

Find all solutions to the equation. cos^2 x +2cosx+1=0

Mathematics
1 answer:
Schach [20]3 years ago
4 0

x= \pi

Step-by-step explanation:

\cos^2x+\cos x+1=0

Let u= \cos x

Then u^2+2u+1=(u+1)^2=0

or

\cos x = -1

This gives us x= \pi or all integer multiples of \pi (n \pi)

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Step-by-step explanation:

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in a class of 40 students, all play at least one sport. if 21 students play basketball, 18 play soccer, 15 play volleyball, and
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Find the area of the regular pentagon. 4.1 cm 6 cm Area = [?] cm? Enter your answer to the nearest tenth. ​
Assoli18 [71]

Answer:

Area of the given regular pentagon is 61.5 cm².

Step-by-step explanation:

Area of a regular polygon is given by,

Area = \frac{1}{2}aP

Here, a = Apothem of the polygon

P = Perimeter of the polygon

Apothem of the regular pentagon given as 4.1 cm.

Side of the pentagon = 6 cm

Perimeter of the pentagon = 5(6)

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Substituting these values in the formula,

Area = \frac{1}{2}(4.1)(30)

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8 0
3 years ago
What is the future value of 300000 with an interest rate of 17% per annum for 30 days?
Anvisha [2.4K]
\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$300000\\
r=rate\to 17\%\to \frac{17}{100}\to &0.17\\
t=years\to \frac{30}{365}\to &\frac{6}{73}
\end{cases}
\\\\\\
A=300000\left(1+0.17\cdot \frac{6}{73}\right)
3 0
3 years ago
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