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Lina20 [59]
2 years ago
8

Please help..not too sure on how to work this out.

Mathematics
1 answer:
lina2011 [118]2 years ago
6 0

Answer and Step-by-step explanation:

Ok, it's basically just parts of a circle circumference and area equation. Let's start first by writing down both equations.

C = 2πr

C = πd

A = πr^{2}

Now, all we have to do is plug in the values into those equations!

4. C = 2π(12)                  A = π(12^{2})

r = 12

d = 24     <---- (12 times 2 equals 24)

C = 24π

A = 144π   <---- (12 times 12 (itself) equals 144)

5. C = π4.8                  A = π(4.8^{2})

r = 2.4            <------- (4.8 divided by 2 equals 2.4)

d = 4.8

C = 4.8π

A = 23.04π    <------- (4.8 times 4.8 equals 23.04)

6.  20π = 2πr                  A = πr^{2}

r = 10            <------- (20π divided by π and divided by 2)

d = 20          <------- (20π divided by π)

C = 20π

A = 100π    <------- (10 times 10 equals 100)

7.  C = 2πr                  81π = πr^{2}

r = 9            <------- (81π divided by π and square rooted equals 9)

d = 18          <------- (9 times 2 equals 18)

C = 18π      <------- (2 times 9 equals 18, times π)

A = 81π

#teamtrees #WAP (Water And Plant) #ELM (Every Life Matters)

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The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1g^{2}+30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1g^{2}+30g-1200

0.1g^{2}-30g+1200+665.60=0

0.1g^{2}-30g+1865.60=0

Divide the above equation by 0.1.

g^{2}-300g+18656=0

Solving for g we get,

g=[300±\sqrt{(300)^{2}-4*1*18656 }]/2*1

g=[300±\sqrt{90000-74624}]/2

g=[300±\sqrt{15376}]/2

g=(300±124)/2

g=(300+124)/2       , g=(300-124)/2

g=424/2,  g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1g^{2}+30g-1200.

-0.1g^{2}+30g-1200=1500

0.1g^{2}-30g+1500+1200=0

0.1g^{2}-30g+2700=0

Dividing equation by 0.1.

g^{2}-300g+27000=0

Solving the equation for finding value of g.

g=[300±\sqrt{300^{2} -4*1*27000}]/2*1

=[300±\sqrt{90000-108000}] /2

=[300±\sqrt{-18000}]/2

Because \sqrt{-18000} comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Learn more about equation at brainly.com/question/2972832

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Answer:

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Step-by-step explanation:

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