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3 years ago

The expression sin57 is equal to

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Answer:

Step-by-step explanation:

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A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and

$x^2+36=100$ and

$x^2=64$ so

x = 8.

NOW we can fill in the derivative and solve for $\frac{dx}{dt}$ .

Remember the derivative is

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ so

$8\frac{dx}{dt}+6(-2)=0$ and

$8\frac{dx}{dt}-12=0$ and

$8\frac{dx}{dt}=12$ so

$\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec$

7 0

3 years ago

Que es hibridacion en la fisica

nalin [4]

Answer:

47031790b

Step-by-step explanation:

bhai dane I will tell you all the best things to see ur joy big smile but not geting this is the best answer

7 0

4 years ago

33. Which side of the triangle in the diagram is the hypotenuse?<br> A. B<br> B. C<br> C. A

Alik [6]

The answer is option B, if this helped mark me the brainiest!!

4 0

3 years ago

Read 2 more answers

a piece of lumber leans against a wall. the top of this 40 foot piece of lumber touches a point on the wall that is 36 feet abov

nignag [31]

So first find the distance from the bottom of the lumber to the wood
40^2= 36^2+X^2
X=304^1/2. Or the sqaure root of 304

The you use the sin equation

Sin90*\40= sin(unknown angle)/304^1/2
Sinx(x) = ((304^1/2)xsin(90))/40
X=arcsin((304^1/2)xsin(90))/40

8 0

3 years ago

You make 35$ from washing cars for 7 hours, how make do you make in 4 hours?

Elodia [21]

20 dollars
to get that answer you divide 35 and 7 after that you get 5 so you know its 5 dollars per hour so than you times 5 and 4 getting 20 dollars hoped i help

7 0

3 years ago