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3 years ago

In the triangle shown we can find the angle θ as follows calculator

1 answer:

3 0

Given a right triangle with hypothenus of measure 34, the side opposite the angle θ of measure 30, and the side adjacent the angle theta of measure 16.

$\sin\theta= \frac{opposite}{hypothenuse} = \frac{30}{34} = \frac{15}{17} \\ \\ \Rightarrow \theta=\sin^{-1}\left( \frac{15}{17} \right) \\ \\ \\ \cos\theta= \frac{adjacent}{hypothenuse} = \frac{16}{34} = \frac{8}{17} \\ \\ \Rightarrow \theta=\cos^{-1}\left( \frac{8}{17} \right) \\ \\ \\ \tan\theta= \frac{opposite}{adjacent} = \frac{30}{16} = \frac{15}{8} \\ \\ \Rightarrow \theta=\cos^{-1}\left( \frac{15}{8} \right)$

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Suppose f is a function which follows this pattern, where x and h are any numbers: f(a + h) = f(a)*f(h) Which type of function i

fomenos

$f$ has to be a <em>power</em> function in order to satisfy the recurrence pattern $f(x + h) = f(x) \cdot f(h)$

<h3>Procedure - Determination of a function with a pattern.</h3>

In this case, we must assume a given function and check such assumption fulfill the given recurrence. Let suppose that $f(x) = a^{x}$ , by algebra we have the following property:

$f(x + h) = a^{x+h} = a^{x}\cdot a^{h}$ (1)

And by the definition given in statement, we have the following conclusion:

$f(x+h) = a^{x}\cdot a^{h} = f(x) \cdot f(h)$ (2)

Therefore, $f$ has to be a <em>power</em> function in order to satisfy the recurrence pattern $f(x + h) = f(x) \cdot f(h)$ . $\blacksquare$

To learn more on power functions, we kindly invite to check this verified question: brainly.com/question/5168688

8 0

3 years ago

Find the midpoint of the segment with the given endpoints.<br> (7,10) and (-1,- 8)

Evgesh-ka [11]

Answer:

(3,1) is the midpoint

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

(7+-1)/2 = 6/2 =3

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(10+-8)/2 = 2/2 = 1

(3,1) is the midpoint

6 0

3 years ago

Read 2 more answers

Which graph represents exponential decay?

vodomira [7]

There is no graph to tell

3 0

3 years ago

Read 2 more answers

SOMEONE HELP?!! ASAP !! I’ll give brainliest!! Please and ty !!

dsp73

Answer:

$(\pi 4^2 (9))-(\pi 2^2 (9))$

and

$339.292 cm^3$

Step-by-step explanation:

This question is simple once you break it down.

Let's concentrate on the outer cylinder.

First, find the volume of the outer cylinder.

The volume of a cylinder is expressed as: $V = \pi r^2 h$

Gathering information from the diagram..

d = 8 cm

h = 9 cm

You can get the radius from the diameter by just dividing the diameter by 2.

$r = \frac{8}{2}=4$

r = 4

Plug everything into the volume equation.

$V = \pi 4^2 (9)$

Don't solve just yet!

Now, find the volume of the inner cylinder.

Do the exact same thing as you did for the outer cylinder.

d = 4 cm

h = 9 cm

$r = \frac{4}{2}=2$

r = 2

Plug everything into the volume equation..

$V = \pi 2^2 (9)$

The question asks for an expression to represent the volume of the large cylinder after the cylindrical hole is removed. This means you need to subtract the volume of the cylindrical hole from the volume for the large cylinder.

Again, the volume for the large cylinder is $V = \pi 4^2 (9)$ and the volume for the cylindrical hole is $V = \pi 2^2 (9)$

This means..

$(\pi 4^2 (9))-(\pi 2^2 (9))$

That is your answer to the first part of the question.

For the second part, just solve.

$(\pi 4^2 (9))-(\pi 2^2 (9))$

$(\pi*16*9)-(\pi*4*9)$

$(\pi*144)-(\pi*36)$

$144\pi-36\pi$

$108\pi$

$339.292$

Don't forget the units.

$339.292 cm^3$

Hope this helped you!

3 0

3 years ago

Read 2 more answers

I need help on 2 questions !

Fudgin [204]

4. Yes, line L is parallel to M because they do not intersect, the angles do not matter.

5.

A. 2 and 3 would be Alt. Int. Angles.

B. 2 and 4 are congruent angles.

6 0

3 years ago