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Yuki888 [10]
3 years ago
5

In rectangle RSTU it is known that RS=12 and ST=5. What is the length of diagonal SU?

Mathematics
1 answer:
Rzqust [24]3 years ago
7 0
I hope this helped you.
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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
A bag contains white marbles and yellow marbles, 54 in total. The number of white marbles is 6 less than 3 times the number of y
NNADVOKAT [17]
Let x be white marbles, y be yellow marbles
x+y=54…(1)
x=3y - 6 …(2)

put (2) into (1)
(3y - 6) + y = 54
4y = 60
y=15

put y=15 into (1)

x + 15=54
x=39

so y=15 x=39
7 0
3 years ago
Read 2 more answers
Pozele sunt atasate va rog urgeeeeent
Nookie1986 [14]

Answer:

it's not English, sorry I can't help.

3 0
3 years ago
Use the figure to find the specified angle measure. In the figure, m || n and x || y.
Tomtit [17]

Answer:

because  m || n and x || y => ∠6 = ∠11 = 112°

Step-by-step explanation:

3 0
3 years ago
Find the difference. Express your answer in simplest form. z-7/z+8-(-2z-7)/z+8​
Levart [38]

Answer:

z^2x+10zx+8z^2+73z+7z/(z+8)(z+8)

(IMAGE DOWN BELOW)

Step-by-step explanation: Simplify the expression.

Hope this helps you out! ☺

3 0
3 years ago
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