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4 years ago

If sin(x) = 1/2, what is cos(x) and tan(x)? Explain in full sentences

Mathematics

1 answer:

lawyer [7]4 years ago

6 0

In quadrant #1:
When sin (x) = 1/2
cos(x) = sqrt(3)/2
Tan(x) = sqrt(3)/3
In quadrant #2:
Cos -
Sin +
Tan -

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Statistics question? I know I already asked it but I got no answers..Help, this is making me cry?

Sever21 [200]

Use Google or the calculator on your phone

8 0

3 years ago

suppose that $17,000 is deposited for six years at 5% APR. Calculate the interest earned if interest is compounded quartly . Rou

Lapatulllka [165]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$17000\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &6
\end{cases}
\\\\\\
A=17000\left(1+\frac{0.05}{4}\right)^{4\cdot 6}\implies A=17000(1.0125)^{24}$

the earned interest will then be A - P, namely A - 17000.

5 0

3 years ago

Help please asap :)))))

ArbitrLikvidat [17]

Answer:

This would be identified as a scale factor of 3x

Step-by-step explanation:

We can divide the height of B by A, 3/1 = 3

We can divide the length of B by A, 9/3 = 3

Scale factor of 3

3 0

3 years ago

Read 2 more answers

Help would be much appreciated! :)

Tju [1.3M]

Answer:

$\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}$

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding

Algebra II

Polynomial Division

Long Division
Synthetic Division

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}$

Step 2: Long Division

See attachment.

Multiply quotient a and divisor, then subtract from dividend: $\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}$
Multiply quotient b and divisor, then subtract from new dividend: $\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}$
Multiply quotient c and divisor, then subtract from new dividend: $\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}$
Write remainder: $\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}$

Please excuse the bad handwriting.

4 0

2 years ago

The product of (3 + 2i) and a complex number is (17 + 7i)

Tatiana [17]

Of course you're looking for the ratio: (17+7i)/(3+2i). To get a clear number, you need to get a real number at the denominator -- and it so happens that the product of two complex conjugates is a real number. So, you multiply the denominator and the numerator by the conjugate of 3+2i. The denominator becomes 13 and the numerator becomes 51 + 7i. Hence, the multiplier is 51/13 + 7/13 i. 

As a side note, while you probably knew how to factor a difference of squares, I just showed how to factor a sum of squares: a^2 + b^2 = (a + bi)(a - bi). That holds because i^2 = -1.

Hope this's useful/helpful !!!^_~!!!

8 0

3 years ago