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3 years ago

What is the measure of one interior angle of a polygon that has 50 sides

Mathematics

1 answer:

pashok25 [27]3 years ago

3 0

Answer: 172.8°

Step-by-step explanation:

For a regular polynomial of N sides, the sum of all interior angles must be equal to:

Sum = (N - 2)*180°.

In this case we have N = 50

Then:

Sum = (50 - 2)*180° = 48*180°

Now, if all the 50 interior angles have the same measure, then the measure of each one will be equal to the quotient between the sum and the number of sides, this is:

Sum/50 = (48/50)*180° = 172.8°

Then the interior angles of a regular polygon of 50 sides is 172.8°

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Which is the solution to the inequality? y + 15 < 3

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Answer:

y < - 12

Step-by-step explanation:

y + 15 < 3 ( subtract 15 from both sides )

y < - 12

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2 years ago

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Is 18-35 an expression or an equation

allsm [11]

Answer:

It is an expression

Step-by-step explanation:

An equation needs to have an equal sign in it and 18-35 doesn't have an equal sign

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3 years ago

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Two number cubes (6 sided) are rolled at the same time. What is the probability that the first number cube will land on a 2 or 3

Reil [10]

Answer:

5/36 or approximately 13.88...%

Step-by-step explanation:

First, we need to know the probability of rolling a 2 or 3. Because there are 6 sides, the probability is 2/6

Next, we have to find the probability of rolling an even number. With the numbers:

1, 2, 3, 4, 5, 6

1, 3, 5 are odd 2, 4, 6 are even

so, the probability of rolling an even number is 3/6

Finally, multiply the probabilities:

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5/36 or about 13.88%

7 0

3 years ago

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

3 years ago

Can someone help me do this i need helpppp

Vedmedyk [2.9K]

AngleA= angle D
5x+2=87
5x=85
X=17

180-87-42=51

Angle C= angle F
3y=51
Y=17

3 0

2 years ago