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Allisa [31]
3 years ago
7

Please help me and explain!

Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

Answer:

84

Step-by-step explanation:

See the attached document.

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PLEASE HELP! THIS IS DUE TOMORROW! Much appreciated.
denis23 [38]

Answer:

Step-by-step explanation:

1a) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.

1b) angle x and angle y are interior angles on the same side of the transversal. Since the lines are parallel, the angles are equal supplementary.

1c) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.

1d) angle x and angle y are alternate interior angles. They are between the parallel lines and alternate sides of the transversal. Since the lines are parallel, the angles are equal.

3 0
3 years ago
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Consider the line integral Z C (sin x dx + cos y dy), where C consists of the top part of the circle x 2 + y 2 = 1 from (1, 0) t
pashok25 [27]

Direct computation:

Parameterize the top part of the circle x^2+y^2=1 by

\vec r(t)=(x(t),y(t))=(\cos t,\sin t)

with 0\le t\le\pi, and the line segment by

\vec s(t)=(1-t)(-1,0)+t(2,-\pi)=(3t-1,-\pi t)

with 0\le t\le1. Then

\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)

=\displaystyle\int_0^\pi(-\sin t\sin(\cos t)+\cos t\cos(\sin t)\,\mathrm dt+\int_0^1(3\sin(3t-1)-\pi\cos(-\pi t))\,\mathrm dt

=0+(\cos1-\cos2)=\boxed{\cos1-\cos2}

Using the fundamental theorem of calculus:

The integral can be written as

\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=\int_C\underbrace{(\sin x,\cos y)}_{\vec F}\cdot\underbrace{(\mathrm dx,\mathrm dy)}_{\vec r}

If there happens to be a scalar function f such that \vec F=\nabla f, then \vec F is conservative and the integral is path-independent, so we only need to worry about the value of f at the path's endpoints.

This requires

\dfrac{\partial f}{\partial x}=\sin x\implies f(x,y)=-\cos x+g(y)

\dfrac{\partial f}{\partial y}=\cos y=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\sin y+C

So we have

f(x,y)=-\cos x+\sin y+C

which means \vec F is indeed conservative. By the fundamental theorem, we have

\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=f(2,-\pi)-f(1,0)=-\cos2-(-\cos1)=\boxed{\cos1-\cos2}

3 0
3 years ago
Simplify the following expression 8x+9-6x-7
mamaluj [8]
8x + -6x = 2x 2 + 2x
4 0
2 years ago
Read 2 more answers
A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes?
mojhsa [17]

Answer:

The markup for the shoes is 20 percent.

Step-by-step explanation:

5 0
3 years ago
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Can someone please help me with this I will also give brainliest.​
Sindrei [870]

Answer:

C) 3*10^6

Step-by-step explanation:

Divide the two numbers:

(6*10^-2)/(2*10^-8)=6/2*(10^-2/10^-8)=3*10^(-2-(-8))=3*10^(-2+8)=3*10^6

So C is correct

8 0
2 years ago
Read 2 more answers
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