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Crank
3 years ago
10

Tony love finding the area, such as pizza slices. His favorite pizza is a pepperoni with mushrooms that he can't stop talking ab

out. The diameter is 18 inches and it is always cut into 6 slices of exactly the same size. In terms of pi, what is the surface area of one slice of the large pizza? (hint: think of the pizza as a sector you want to find the area of). Fill in your answers in the form of a fraction, aπb. You do not need to worry about pi as it is already built into the answer.
Mathematics
1 answer:
Lorico [155]3 years ago
8 0

Answer:

\frac{27\pi }{2} square inches.

Step-by-step explanation:

The pizza would have a circular shape so that dividing it into 6 slices implies that there are 6 sectors.

The central angle formed by each sliced pizza = \frac{360}{6}

                                                                  = 60^{o}

Given that the diameter = 18 inches, thus;

radius = \frac{18}{2}

          = 9.0 inches

Since the sliced pizza now has the shape of a sector, then;

the surface area of each large pizza = (θ/360)* \pir^{2}

                                   = \frac{60}{360}*\pi*(9)^{2}

                                   = \frac{1}{6}*\pi*81

                                   = 13.5\pi square inches

Surface area of each large pizza = \frac{27\pi }{2} square inches

The surface are of one slice of the large pizza is \frac{27\pi }{2} square inches.

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Se tiene en una caja de canicas 10, 4 blancas y 6 negras
fgiga [73]

Answer:

Step-by-step explanation:

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8 0
3 years ago
Find the number which when divided by 4 and increased by 12 is the same as when it is divided by 3 and decreased by 5
MatroZZZ [7]

Step-by-step explanation:

Let's make the number we're finding to be a. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be \frac{a}{4} +12\\. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be \frac{a}{3} -5\\. Since they are the same, we have the equation below.

\frac{a}{4} +12 = \frac{a}{3} -5\\

All we have to do now is to find a.

\frac{a}{4} +12 = \frac{a}{3} -5 \\ \frac{a +48}{4} = \frac{a -15}{3} \\ (3)(a +48) = (a - 15)(4) \\ 3a +144 = 4a -60 \\ (60 -3a) + 3a +144 = 4a -60 +(60 -3a) \\ a = 204

<h3>Answer:</h3>

Our number must be 204. I think

5 0
3 years ago
Imma keep on saying this I understand some of it but not all againnnn I’m sorryyy
Mariulka [41]

Answer:

6) The answer is 210p - 105

7) The answer is  -124q + 216

Step-by-step explanation:

1. Always Distributive Property first

6) -14 (8 - 15p)           7) -12 ( -18 + 10q)

    -112 +210p                 216 -120q

2. Combine like terms

6) -112  +  7  = -105   your full answer is 210p -105

7) -120q +   -4q  =  -124q  Your full answer is -124q +216.

Hope this helps.

6 0
3 years ago
10. Two lighthouses are located on a north-south line.
Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

\mathbf{\angle A = 180^o - 120^o\ 43'}

Convert to degrees

\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}

\mathbf{\angle A = 180^o - (120^o +0.717^o)}

\mathbf{\angle A = 180^o - (120.717^o)}

\mathbf{\angle A = 59.283^o}

\mathbf{\angle B = 39^o43'}

Convert to degrees

\mathbf{\angle B = 39^o + \frac{43}{60}^o}

\mathbf{\angle B = 39^o + 0.717^o}

\mathbf{\angle B = 39.717^o}

So, the measure of angle S is:

\mathbf{\angle S = 180 - \angle A - \angle B} ---- Sum of angles in a triangle

\mathbf{\angle S = 180 - 59.283 - 39.717}

\mathbf{\angle S = 81}

The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

Where:

\mathbf{AS = 3742}

So, we have:

\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

5 0
2 years ago
Solve a/a-1 - a+5/a =0
sweet [91]
The answer should be 5/a-a=0
4 0
2 years ago
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