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Verdich [7]
3 years ago
5

Find dy/dx given that y = sin(cos(x))​

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Hi there!

\large\boxed{-sin(x)cos(cos(x))}

Use the chain rule:

f(g(x)) = f'(g(x)) · g'(x)

Thus:

dy/dx sin(x) = cos(x)

dy/dx cos(x) = -sin(x)

Use the chain rule format:

f(x) = sin(x)

g(x) = cos(x)

cos(cos(x)) · (-sin(x))

-sin(x)cos(cos(x))

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98% of 50 is what number
Andrew [12]
<h3>To get the solution, we are looking for, we need to point out what we know.</h3>

1. We assume, that the number 50 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 50 is 100%, so we can write it down as 50=100%.

4. We know, that x is 98% of the output value, so we can write it down as x=98%.

5. Now we have two simple equations:

1) 50=100%

2) x=98%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

50/x=100%/98%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 98% of 50

50/x=100/98

(50/x)*x=(100/98)*x       - we multiply both sides of the equation by x

50=1.02040816327*x      - we divide both sides of the equation by (1.02040816327) to get x

50/1.02040816327=x

49=x

x=49

now we have:

<h3>98% of 50 = 49</h3>
5 0
2 years ago
Read 2 more answers
Three competing subcontractors are reporting their average work output to a large project leader for a new housing development R
bearhunter [10]

Answer:Rosk Construction has the best work output.

Step-by-step explanation:

1. The unit rate for Rosk Construction is 62

(because a=62w)

2. The unit rate for Fosbert’s Construction is

65 (because 130/2=65; 260/4=65; &

390/6=65. Therefore the unit rate is 65).

3. The unit rate for Durable B Construction is

63 (because 63/1=63; 126/2=63; &

189/3=63. Therefore the unit rate is 63).

3 0
3 years ago
The perimeter of a rectangle is 12 meters. If the length of the rectangle is 5 meters, what is the width (in meters)?
kicyunya [14]

Answer:

Step-by-step explanation:

the answer is explained in the picture

7 0
3 years ago
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Which of the following functions is graphed below?​
Harrizon [31]
You need to show the rest of the functions
5 0
3 years ago
Someone help pleaseee
Doss [256]

Answer:

38°

Step-by-step explanation:

All triangles have a sum of 180°

180 - (119 + 23) = missing angle

180 - (142) = missing angle

38 = missing angle

So, the missing angle has a measurement of 38°

5 0
4 years ago
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