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2 years ago

If the sum of the interior angles of a polygon is 2340, how many sides does the polygon have?

Mathematics

1 answer:

My name is Ann [436]2 years ago

7 0

Answer:

Step-by-step explanation:

Where n represent no.of sides

(2n-4)90=2340

180n-360=2340

180n=2340+360

180n=2700

n=15

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A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have r = 1cm and H = 21cm. Substitute:

$V=\pi(1^2)(21)=21\pi\ cm^3$

The formula of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have V = 21π cm³ and H = 7cm. Substitute:

$\dfrac{1}{3}\pi(r^2)(7)=21\pi$ <em>divide both sides by π</em>

$\dfrac{1}{3}(7)(r^2)=21$ <em>divide both sides by 7</em>

$\dfrac{1}{3}r^2=3$ <em>multiply both sides by 3</em>

$r^2=9\to r=\sqrt9\\\\r=3\ cm$

5 0

3 years ago

Read 2 more answers

Leela made goody bags for her party and put 5 pieces of candy in each bag. She bought gummies and chocolates yo put in het goody

slavikrds [6]

Answer:

4 ways

Step-by-step explanation:

1 gummy 4 chocolates

2 gummy 3 chocolates

3 gummy 2 chocolates

4 gummy 1 chocolates

This is what i think the answer is hope it helps

5 0

3 years ago

HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?

tangare [24]

Answer:

$y=-(x-7)(x+3)$

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

$y=-(x+3)(x-7)$ but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is $y=a(x-h)^2+k$ .

This is called vertex form because it gives you the vertex is $(h,k)$ .

We are given that $(h,k)=(2,25)$ which makes our equation:

$y=a(x-2)^2+25$ .

We can find the value of $a$ by plugging in the x-intercept (7,0) for $(x,y)$ into:

$y=a(x-2)^2+25$

$0=a(7-2)^2+25$

$0=a(5)^2+25$

Subtract 25 on both sides:

$-25=a(5)^2$

$-25=a(25)$

Divide both sides by 25:

$\frac{-25}{25}=a$

$-1=a$ .

So the equation for the quadratic is:

$y=-1(x-2)^2+25$

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

$y=-1(x-2)(x-2)+25$

$y=-1(x^2-2x-2x+4)+25$

$y=-1(x^2-4x+4)+25$

$y=-x^2+4x-4+25$

$y=-x^2+4x+21$

Factor out -1:

$y=-(x^2-4x-21)$

WE need to find two numbers that multiply to be -21 and add to be -4:

$y=-(x-7)(x+3)$

8 0

3 years ago

Read 2 more answers

2. Lindsay, who is the youngest member of the softball team at King's Fork High School, is 7

Andrei [34K]

Lindsay’s age = 7 - 1/3n

4 0

3 years ago

Simplify. -22-10) - 92

Rzqust [24]

Answer:

2944

Step-by-step explanation:

(-22-10)-92

(-32)-92

2944

Hope it is helpful for you please follow me

5 0

3 years ago