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3 years ago

Find the value of x.

Mathematics

1 answer:

Andrew [12]3 years ago

8 0

Answer:

Step-by-step explanation:

We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.

11 / cos 38 = 13.959.....

x = 14.0

We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.

11(tan 38) = 8.594......

8.594.....² + 11² = 194.859......

Square root of 194.859..... = 13.959.......

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The distance an airplane travels depends on how much time it spends flying. Which expression represents the distance the airplan

kogti [31]

Answer: B. $\text{Distance(20)}$

Step-by-step explanation:

The notation to express a dependent variable is given by :-

$Y(x)$ , where Y is depending variable which is dependent upon x ( independent variable).

The given statement : The distance an airplane travels depends on how much time it spends flying.

Here , Independent variable : Time

Dependent variable : Distance

Then , the notation to express distance (dependent variable) the airplane flies in 20 minutes is given by :-

$\text{Distance(20)}$

6 0

2 years ago

Solve for x round to the nearest tenth.

lesantik [10]

Answer:

x ≈ 15.9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 6² = 17²

x² + 36 = 289 ( subtract 36 from both sides )

x² = 253 ( take the square root of both sides )

x = $\sqrt{253}$ ≈ 15.9 ( to the nearest tenth )

3 0

2 years ago

Read 2 more answers

Your friend claims that when a polynomial function has a leading coeffcient of 1 and the coefficients are all integers , every p

sammy [17]

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>

It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format $\frac{p}{q}$ .

In this problem:

The leading coefficient is 1, hence it's only factor is $q = 1$ , thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.

To learn more about the rational root theorem, you can take a look at brainly.com/question/10937559

8 0

2 years ago

Thank you in advance for the help !!

babymother [125]

The Answer is C, my good friend.

4 0

2 years ago

Find derivative problem<br> Find B’(6)

dalvyx [7]

Answer:

$B^\prime(6) \approx -28.17$

Step-by-step explanation:

We have:

$\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)$

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

$\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]$

We can move the constant outside:

$\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]$

Now, we will utilize the product rule. The product rule is:

$(uv)^\prime=u^\prime v+u v^\prime$

We will let:

$\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t$

Then:

$\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1$

(The derivative of u was determined using the chain rule.)

Then it follows that:

$\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}$

Therefore:

$\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]$

By simplification:

$\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17$

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0

3 years ago