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irakobra [83]
3 years ago
9

Given a 14-in pizza is cut into 8 slices and a 10 in pizza is cut into 6 slices, find the following:

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

14"

19.25 in^2 per slice

10"

13.09 in^2 per slice

Step-by-step explanation:

area of 14"

3.14x7^2=153.94 in^2

153.94/8=19.25 in^2 per slice

area of 10"

3.14x5^2=78.54 in^2

78.54/6=13.09 in^2 per slice

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In a group of 40 people, 27 can speak English and 25 can speak Spanish. How many can speak
Svetradugi [14.3K]

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Information \: provided \:  with  \: us }}}}}\: \bigstar}

➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{What \: we \:  have  \: to \: find ? }}}}}\: \bigstar}

➻ The required number of people who can speak both English and Spanish .

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Assumption}}}}}\: \bigstar}

<u>Consider</u> ,

➻ A → Set of people who speak English.

➻ B → Set of people who speak Spanish

➻ A∩B → Set of people who can speak both English and Spanish

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Given}}}}}\: \bigstar}

  • ➻ n (A) = 27

  • ➻ n (B) = 25

  • ➻ n (A∪B) = 40

  • ➻ n(A∩B) = ?

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Now}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - n (A∩B)

➻ 40 = 52 - n (A∩B)

➻ n (A∩B) = 52 - 40

➻ ∴ n (A∩B) = 12

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Therefore}}}}}\: \bigstar}

∴ Required Number of persons who can speak both English and Spanish are <u>12 .</u>

━━━━━━━━━━━━━━━━━━━━━━

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Verification}}}}}\: \bigstar}

➻ n(A∪B) = n(A) + n (B) - n(A∩B)

➻ 40 = 27 + 25 - 12

➻ 40 = 52 - 12

➻ 40 = 40

➻ ∴ L.H.S = R.H.S

━━━━━━━━━━━━━━━━━━━━━━

6 0
2 years ago
What is a cubic polynomial function with zeros 3,3 and -3? show your work.​
Brums [2.3K]

Answer:

Cubic polynomial function with zeros 3,3 and -3 is \mathbf{x^3-3x^2-9x+27=0}

Step-by-step explanation:

We need to find a cubic polynomial function with zeros 3,3 and -3.

If zeros of polynomial are: 3,3,and -3

we can write:

x=3, x=3, x=-3

Or

We can write:

x-3=0, x-3=0, x+3=0

Now, we can write them as:

(x-3)(x-3)(x+3)=0

Multiplying the terms, we can find the polynomial:

(x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0

So, cubic polynomial function with zeros 3,3 and -3 is \mathbf{x^3-3x^2-9x+27=0}

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3 years ago
710,430 square feet of ground the arena covers 700,000 square feet of ground to what place value was the number rounded
vlada-n [284]
The hundred thousands ? :)
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3 years ago
Suppose Miriam's uncle eats two packs of crackers before he brings the supplies,to school.What is the greatest,number of student
Talja [164]
Well id have to know how many packs of crackers there was and possibly i might need to know the # of crackers in a pack
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3 years ago
A farmer owns a total of 8 4/5 acres of land. The land is separated into 4
Stells [14]
<h3>Answer: 2 & 1/5 acres</h3>

Explanation:

The mixed number 8 & 4/5 consists of the whole part 8 and the fractional part 4/5.

Divide the whole part 8 into 4 equal pieces

8/4 = 2

This means 2 is part of the final answer.

Also, divide the 4/5 into 4 equal pieces as well. This is the same as multiplying by 1/4

(1/4)*(4/5) = 1/5

Overall, the size of each section is 2 & 1/5 acres

8 0
3 years ago
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