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Luden [163]
3 years ago
11

Refer to the triangle below what is the volume of X. 45° 60°

Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0

Answer:

x = 75

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for x

x = 180° - (60 + 45)° = 180 - 105° = 75°

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Mr. Ruchard owns an orchard that has a rectangular fence the orchard is 36 yards long and 18 yards wide if ge walks across the d
saw5 [17]

Answer:

the square root of 1620

Step-by-step explanation:

1. x^2=18^2+36^2

2. x^2=324+1296

3. x^2=1620

4. x= The square root of 1620

6 0
3 years ago
The volume of rectangular bar is 640 cubic units. The width is 3 units more than the height and the length is 1 unit more than t
ASHA 777 [7]

Answer:

H = 5 , W = 8 , L = 16

Step-by-step explanation:

6 0
1 year ago
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
Can someone answer part B for me? Thank you and will give brainliest.
frez [133]

Answer:

The answer to part B is B.

Step-by-step explanation:

Could you take another photo so I can see the bottom of the page?

4 0
3 years ago
2w(w2 + 3w - 5) + 3w3 + 2(w2 + 1)
marysya [2.9K]

Answer:

=5w3+8w2−10w+2

Step-by-step explanation:

Simplify

1

Distribute

2

(

2

+

3

−

5

)

+

3

3

+

2

(

2

+

1

)

2

3

+

6

2

−

1

0

+

3

3

+

2

(

2

+

1

)

2

Distribute

2

3

+

6

2

−

1

0

+

3

3

+

2

(

2

+

1

)

2

3

+

6

2

−

1

0

+

3

3

+

2

2

+

2

3

Combine like terms

2

3

+

6

2

−

1

0

+

3

3

+

2

2

+

2

5

3

+

6

2

−

1

0

+

2

2

+

2

4

Combine like terms

5

3

+

6

2

−

1

0

+

2

2

+

2

5

3

+

8

2

−

1

0

+

2

sorry if it don't make sense ;c

7 0
3 years ago
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