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Svetach [21]
3 years ago
12

Abby's friend told her that he drew a quadrilateral with exactly one pair of parallel sides. Abby said it must be a trapezoid. I

s she correct
Mathematics
2 answers:
Ratling [72]3 years ago
8 0

Answer:

Yes, she is correct

Step-by-step explanation:

A trapezoid has exactly one pair of parallel lines and 4 sides

sladkih [1.3K]3 years ago
5 0
Yes she is correct because a quadrilateral has one pair of parallel sides
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Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v
k0ka [10]

I'll use subscript notation for brevity, i.e. \frac{\partial f}{\partial x}=f_x.

By the chain rule,

z_u=z_xx_u+z_yy_u

z_v=z_xx_v+z_yy_v

z_w=z_xx_w+z_yy_w

We have

z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}

and

\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}

When u=1,v=1,w=0, we have

\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}

and the partial derivatives take on values of

\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}

So we end up with

\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}

3 0
3 years ago
Area of a circle<br> R = 5cm<br> Area=<br> REMEMBER TO ANSWER TO 2 DECIMAL PLACES.
Musya8 [376]

Answer:

78.52 cm sq.

Step-by-step explanation:

Area = pi x r^2

A = pi x (5)^2

A = pi x 25

A = 3.141 x 25

A = 78.52 cm sq.

4 0
4 years ago
Casey is trying to run a certain number of miles by the end of the month if Casey is 60% of the way to achieving our goals and s
astra-53 [7]

Answer:

40 miles is her goal.

Step-by-step explanation:

The problem says that 24 miles is 60% of her goal for that month.

You cab make a proportion with x being the goal for the whole month.

24/x = 6/10

You cross multiply and get:

6x = 24 x 10

6x = 240

x = 40

40 miles is the answer.

7 0
3 years ago
PLZ HELP FAST multiple choice<br>touching spirit bear​
Juli2301 [7.4K]
Look this up
On quizlet it will give you the answer
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3 years ago
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Marianna [84]

Answer:

/65

Step-by-step explanation:

a²+b²=c²

c will always be the hypotenuse

4²+7²=65² the opposite of ² is square root so

/65

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3 years ago
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