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4 years ago

There are 3 triangles 6 squares what is the simplest ration of the triangles to total shape

Mathematics

2 answers:

malfutka [58]4 years ago

8 0

Answer:

it either can be 3:6 or 6:3 but I think its 3:6

adell [148]4 years ago

7 0

Answer:

1 : 3.

Step-by-step explanation:

The total number of shapes is 3 + 6 = 9.

So triangles : total shapes = 13 : 9

= 1 : 3.

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marin [14]

The correct answer is 215

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4 years ago

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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

Solve. 3=-(-y+6) a. –9 b. –3 c. 3 d.

kompoz [17]

3 = -(-y + 6)

First, simplify the brackets. / Your problem should look like: 3 = y - 6
Second, add 6 to both sides. / Your problem should look like: 3 + 6 = y
Third, add 3 + 6 to get 9. / Your problem should look like: 9 = y
Fourth, switch the side. / Your problem should look like: y = 9

Answer: y = 9

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3 years ago

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3 years ago

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