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4 years ago

Which angles are corresponding angles?

Mathematics

2 answers:

Zolol [24]4 years ago

8 0

Its ONL and PQS
theyre congruent

Firdavs [7]4 years ago

5 0

Pretty sure it is onl and pqs
sorry if i am wrong

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Find the equation of the tangent line to the curve at the given point?

Over [174]

Answer:

The equation of the tangent line

$y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )$

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = x (-Co sec^{2} (x)) +cot(x) (1)$

Step(ii):-

The slope of the tangent line

$\frac{d y}{d x} = -x Co-sec^{2} (x) +cot x$

$(\frac{d y}{d x} )x_{=\frac{\pi }{4} } = -\frac{\pi }{4} Co-sec^{2} (\frac{\pi }{4} ) +cot \frac{\pi }{4}$

We will use trigonometry formulas

$Cosec(\frac{\pi }{4} ) = \sqrt{2}$

$sec(\frac{\pi }{4} ) = \sqrt{2}$

$Cot(\frac{\pi }{4} ) = 1$

Now the slope of the tangent

$\frac{dy}{dx} =-\frac{\pi }{4} (\sqrt{2})^{2} )+1$

$\frac{dy}{dx} =-\frac{\pi }{2} +1$

Step(iii):-

Given

Substitute $x=\frac{\pi }{4}$ in y = x cot (x)

$y = \frac{\pi }{4} cot (\frac{\pi }{4} )$

$y = \frac{\pi }{4}$

The point of the tangent line $(x ,y ) = (\frac{\pi }{4} , \frac{\pi }{4} )$

The equation of the tangent line

$y - y_{1} = m ( x - x_{1} )$

$y - \frac{\pi }{4} = (\frac{-\pi }{2} +1)( x - \frac{\pi }{4} )$

6 0

4 years ago

How do i use Pythagorean theorem to find perimeter

ladessa [460]

Pythagorean Theorem= a^2+b^2=c^2

First side=4

Second side=4

So, 4^2+4^2=c^2

16+16=32^2

32^2=1024

Next, find the square root of 1024

Finally, this would result in 32.

3 0

3 years ago

Read 2 more answers

11/12 divided by 1/3

faust18 [17]

The correct answer is $\frac{11}{4}$

You can find this by first starting with the original question.

$\frac{11}{12}$ ÷ $\frac{1}{3}$

Now to solve a division problem with fractions, you can always flip the second one and turn it into multiplying.

$\frac{11}{12}$ * $\frac{3}{1}$

Now we can multiply numerator by numerator and denominator by denominator.

$\frac{33}{12}$

Then of course, we need to simplify. Since both are divisible by 3, we can divide both numbers by 3.

$\frac{11}{4}$

8 0

3 years ago

Read 2 more answers

Please estimate 75×5 what's the answer?

charle [14.2K]

Hi , so without using any device or thing to get the answer I think that 75×5 equals 375 , now I'm going to check my answer , my answer is correct .What I always do is add , so basically I did this 75+75+75+75+75 =375.

8 0

3 years ago

Read 2 more answers

Round to the nearest tenth wa hit is the perimeter of the triangle

klio [65]

Answer:

D. 11.8 cm

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5

The other shortcut is that the longer leg is the

short leg×sqroot3

Here, the short leg is 2.5, so the long leg is 2.5×sqroot3

Perimeter is all the sides added together.

5 + 2.5+ 2.5×sqrt3

Do the times first.

5 + 2.5 + 4.3

= 11.8

6 0

2 years ago