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Oliga [24]
3 years ago
5

Fill in the missing monomials: a 100x2= (_____)2

Mathematics
2 answers:
zysi [14]3 years ago
6 0

Answer:

The anser is 100

Step-by-step explanation:

When there is a number right next to parenthisis you mulptiply. SO technicly the (100)2 is just 100*2.

nikitadnepr [17]3 years ago
3 0

Answer:

100

Step-by-step explanation: its the same thing but in a different form

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1. The backdrop of the altar in a church is triangular in shape. It has a base of 10.5 meters
FrozenT [24]

Answer:

#1

<u>Area of triangle backdrop:</u>

  • A = 1/2bh = 1/2(10.5)(8.5) = 44.63 m²

<u>Area of the cloth:</u>

  • A = 4.5*4 = 18 m²

<u>Uncovered area:</u>

  • 44.63  - 18 = 26.63 m²

Choice A

#2

<u>Area of the cut piece:</u>

  • A = πr² = 3.14*7.6² = 181.37 cm²

<u>Area of the square piece:</u>

  • A= a² = 34² = 1156 cm²

<u>Remaining piece is:</u>

  • 1156 - 181.37 = 974.63 cm²

Choice B

8 0
3 years ago
Simplify the expression<br> 13 (9x)
Ratling [72]

13(9x)

13 * 9x = 117x

5 0
3 years ago
Read 2 more answers
There is a store downtown that sells clothes. The owner has his own method of pricing items. A coat costs $20, a hat costs $15,
Lesechka [4]

Answer:

$25

Step-by-step explanation:

well you have to identify what the method is first.

He is basically pricing things by the count of 5. So, you can assume that it would cost $25.

Idk, this is a weird problem

7 0
3 years ago
360,000 = X% of 4000000
shutvik [7]
Answer:9%

360,000 / 4000000=.09

.09x100= 9%
6 0
3 years ago
Read 2 more answers
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
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