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3 years ago

If the measure of an exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have?

1 answer:

7 0

the regular polygon would have 18 sides. because you do 180 deg-20deg=160 deg. then multiply 160 and 18 to get to2880. each exterior angle of a polygon is 20 degress. so the polygon has 360/20=18 sides. (i think)

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Which radical expression is in simplified form A. 11y/sqrt3 B. sqrt6/5y C. sqrt17/sqrt4 D. sqrt25/18

Mkey [24]

Answer: $\frac{\sqrt{6}}{5y}$

Step-by-step explanation:

The given radical expressions are:

$A. \frac{11y}{\sqrt{3}}\\\text{It is not completely simplified ,}\\\text{since denominator is radical, we need to rationalize it first to simplify. }\\\\B.\frac{\sqrt{6}}{5y}\\\text{It is completely simplified ,}\\\text{since its denominator is not radical and 6 is not a perfect square. }\\\\C. \frac{\sqrt{17}}{\sqrt{4}}\\\text{It is not completely simplified ,}\\\text{since denominator is radical, we need to rationalize it first to simplify. }\\\\$ $\\\\D. \frac{\sqrt{25}}{18}=\frac{5}{18}\\\text{Hence, expression D was not completely simplified .}$

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3 years ago

The large sphere has a diameter of 12 feet. What is the volume of the shaded figure? Express the answer in terms of π.

Igoryamba

Answer: A 252 ft3

Step-by-step explanation:

answer is A

7 0

3 years ago

Read 2 more answers

(b) dy/dx = (x - y+ 1)^2

Elanso [62]

Substitute $v(x)=x-y(x)+1$ , so that

$\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}$

Then the resulting ODE in $v(x)$ is separable, with

$1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx$

On the left, we can split into partial fractions:

$\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx$

Integrating both sides gives

$\dfrac{\ln|1-v|+\ln|1+v|}2=x+C$

$\dfrac12\ln|1-v^2|=x+C$

$1-v^2=e^{2x+C}$

$v=\pm\sqrt{1-Ce^{2x}}$

Now solve for $y(x)$ :

$x-y+1=\pm\sqrt{1-Ce^{2x}}$

$\boxed{y=x+1\pm\sqrt{1-Ce^{2x}}}$

3 0

3 years ago

25 pt question amd will mark brainliest

Usimov [2.4K]

Hello!

The angles are supplementary meaning they add to 180°

a + 2a + 3 = 180

Combine like terms

3a + 3 = 180

Subtract 3 from both sides

3a = 177

Divide both sides by 3

a = 59

the answer is 59°

Hope this helps!

8 0

3 years ago

Read 2 more answers

Which expression is modeled by this se of arrows in the number line

Bond [772]

Answer:

Step-by-step explanation:

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3 years ago