All categories

3 years ago

What is (2tan(10 degrees))/(1 - tan^2 (10 degrees)) expressed as a single trigonometric ratio?

Mathematics

2 answers:

Setler [38]3 years ago

7 0

Answer:

D. tan(20°)

Step-by-step explanation:

Vinil7 [7]3 years ago

4 0

Answer:

Answer is tan(20 degrees) so, D.

Step-by-step explanation:

You might be interested in

A. 0.12 B. 0.13 C. 0.14 D. 0.15 Explain why you chose the answer

blagie [28]

The answer is C. 0.14

8 0

3 years ago

Katie has these 2 boxes shaped likerectangular prísms. How do the volumes of the two bones compare?

r-ruslan [8.4K]

Answer:

Box 2 has 3 times the volume of Box 1....

3 0

2 years ago

The average age of online consumers a few years ago was 24.1 years. As older individuals gain confidence with the Internet, it

love history [14]

Answer:

The correct option is (C).

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas the alternative hypothesis is a contradicting statement tot he null hypothesis. It is denoted by Hₐ.

In this case we need to test whether the average age of online consumers has increased or not.

From previous data we know that the average age of online consumers a few years ago was 24.1 years.

A one-sample mean test can be used to determine whether the mean age has increased or not.

The hypothesis for the test can be defined as follows:

H₀: The average age of online consumers is 24.1 years, i.e. μ = 24.1.

Hₐ: The average age of online consumers is more than 24.1 years, i.e. μ > 24.1.

Thus, the correct option is (C).

6 0

4 years ago

What is a21 of the arithmetic sequence for which a7=−19 and a10=−28? A. -35 B. 35 C. -58 D. -61

shepuryov [24]

Answer:

a21 = -61

Step-by-step explanation:

$a_{n}=a_{1}+(n-1)d$

$-19=a_{1}+(7-1)d$

$-28=a_{1}+(10-1)d$ (subtract to eliminate a₁)

9 = -3d

d = -3

-19 = a₁ + (6)(-3)

-1 = a

a21 = -1 + (21 - 1)(-3)

= -61

8 0

3 years ago

Read 2 more answers

How long would it take to double your principal in an account that pays 6.5% annual interest compounded continuously? round your

prisoha [69]

It would take 10.7 years.

The formula for continuously compounded interest is:
$A=Pe^{rt}$
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Using our information we have:
$A=Pe^{0.065t}$

We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
$2P=Pe^{0.065t}$

Divide both sides by P:
$\frac{2P}{P}=\frac{Pe^{0.065t}}{P}
\\
\\2=e^{0.065t}$

Take the natural log, ln, of each side to "undo" e:
$\ln{2}=\ln{e^{0.065t}}
\\
\\0.6931471806=0.065t$

Divide both sides by 0.065:
$\frac{0.6931471806}{0.065}=\frac{0.065t}{0.065}
\\
\\10.7\approx t$

8 0

3 years ago

Read 2 more answers