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Serjik [45]
3 years ago
14

Please help me with this Thank You:)

Mathematics
1 answer:
hram777 [196]3 years ago
8 0

Because we have only given: ABCD is parallelogram,

and we only know that by definition

a parallelogram is a quadrilateral with 2 pairs of the parallel sides,

part 2. should be

E. statement AB||CD, BC||AD, reason definition of a parallelogram.

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Martha Washington walks 30 minutes each day. If she walks for 140 days, how many hours will she walk?
telo118 [61]

70

make 30 minutes into an hour then divide 140 by 2

140/2=70

70x1=70

5 0
2 years ago
EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

7 0
3 years ago
A33 =<br> 1<br> 6<br> 8<br> Please help.
Firdavs [7]

Answer:

Need more information

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The heights of women aged 20 to 29 follow approximately the N(64, 2.82) distribution. Men the same age have heights distributed
ivann1987 [24]

Answer:96.97

Step-by-step explanation:

Given

mean height of women \mu _w=64

Standard deviation of height \sigma _w=2.82

mean height of men \mu _=69.3

Standard deviation of height \sigma _m=2.71

P\left ( X

P\left ( \frac{x-\mu _w}{\sigma _w}\right )

P\left ( Z

i.e. 0.9697=96.97 %

4 0
3 years ago
Determine the intercepts of the line.<br> y = -2x-21<br> X-intercept:<br> y-intercept:
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Ummm eeee i dont knowwwe
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