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KatRina [158]
3 years ago
7

9.12cm 10.36cm 11.34cm 12.61cm

Mathematics
1 answer:
Vinvika [58]3 years ago
8 0
Tan80 = QR / RS
QR = 5.67 (2)
QR = 11.34

answer

<span>11.34cm</span>
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You just multiple how many types of vehicles and the property of the vehicle (standard, custom etc.) to get 12 ways
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3 years ago
Use the relationship between the angles in the figure to answer the question.
Brut [27]

Answer:

​x + 49 + 28 = 180​

Step-by-step explanation:

​The angles on a straight line with x° are 28° and 49° respectively, side by side with x°. This is because, vertical angles are equal. Therefore, the angle vertically opposite 28° and 49° are equal to 28° and 49° respectively.

Therefore, since angles on a straight line is 180°, thus:

​x + 49 + 28 = 180​

6 0
3 years ago
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Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation
stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

\frac{dy}{dx} =\frac{-δ f/ δ x }{δ f/δ y }

Example:- \frac{dy}{dx}  = \frac{-(y+2x)}{(x+2y)}

Step-by-step explanation:

<u>Partial differentiation</u>:-

  • Let Z = f(x ,y) be a function of two variables x and y. Then

\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

  • Let Z = f(x ,y) be a function of two variables x and y. Then

\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

<u>Implicit function</u>:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

\frac{dy}{dx} =\frac{-δ f/ δ x }{δ f/δ y }

The total differential co-efficient

d z = δ z/δ x +  \frac{dy}{dx} δ z/δ y

<u>Implicit differentiation process</u>

  • differentiate both sides of the equation with respective to 'x'
  • move all d y/dx terms to the left side, and all other terms to the right side
  • factor out d y / dx from the left side
  • Solve for d y/dx , by dividing

Example :  x^2 + x y +y^2 =1

solution:-

differentiate both sides of the equation with respective to 'x'

2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0

move all d y/dx terms to the left side, and all other terms to the right side

x \frac{dy}{dx}  + 2y\frac{dy}{dx} =  - (y+2x)

Taking common d y/dx

\frac{dy}{dx} (x+2y) = -(y+2x)

\frac{dy}{dx}  = \frac{-(y+2x)}{(x+2y)}

7 0
3 years ago
How do you write equations for horizontal and vertical lines?
NemiM [27]

Answer:

y=_

x=_

Step-by-step explanation

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Which equation shows y = -1/2x + 4 is in standard form?
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For this case we have that by definition, the standard way to write the equation of a line, is given by:

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We can write it in the standard way:

\frac{1}{2}x+ y = 4

a=\frac{1}{2} and by the previous definition, the numbers a, b and c must be integers.

Thus, we multiply the equation by 2, on both sides so as not to alter the equality.

2*\frac{1}{2}x+ 2 * y= 2 * 4

x + 2y = 8

Thus, the equation of y =-\frac{1}{2}x+ 4 , in its standard form is given by:

x + 2y = 8

Answer:

Option B


4 0
3 years ago
Read 2 more answers
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