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Damm [24]
3 years ago
8

Can you solve some of these? Or all, whichever one you might know. Also explain please.

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0
Here's number 5. If you need more explanation just let me know.

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A ladder leaning against a wall forms a triangle and exterior angles with the wall and the ground. What are the measures of the
Paha777 [63]
11x° is interior angle of ladder to the ground
and 7X° is interior angle of ladder to the wall

exterior angle of a ladder to wall is 180-7x
and exterior angle of a ladder to ground is 180-11x
7 0
3 years ago
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π
lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of x can be found by concept of derivative, which is described below:

g(x) =  \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}

Where h is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of g if f(x) = \sin x and evaluate the resulting expression for x = \frac{\pi}{3}. Then, we have the following procedure below:

g(x) =  \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}

g(x) =  \lim_{h \to 0} \frac{\sin h}{h}\cdot  \lim_{h \to 0} \cos x

g(x) = \cos x

Now we evaluate g(x) for x = \frac{\pi}{3}:

g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. \blacksquare

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0
2 years ago
Which of the following statements about the sine, cosine, and tangent ratios is not correct?
torisob [31]
I think the answer is b
6 0
3 years ago
What is bigger 3 pounds or 50 ounces
levacccp [35]
50 ounces would be bigger
6 0
3 years ago
Read 2 more answers
"calculate the number of permutations possible when using the first five letters of the alphabet to create 3-letter words.
Hitman42 [59]
That is   5! / (5-3)!  =  120 / 2 = 60 answer
5 0
4 years ago
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