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julia-pushkina [17]
3 years ago
8

Chicago Pizza charges $10.49 for a medium 14" pepperoni pizza and NY Pizza charges $20.99 for an x-large 18" pepperoni pizza.

Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

A; The cost is $0.07 per  inch^{2}

Step-by-step explanation:

In this question, we are asked to calculate the cost of the Chicago pizza per square inch rounded to the nearest cent.

Firstly, we will need to calculate the area occupied by the 14 inch medium pepperoni pizza made by Chicago pizza

Since the pizza is circular in shape, we use the formula for the area of a circle to calculate its area in square inch

Mathematically, the area of a circle is equal to πr^{2} . Here, our r is half the size of the pizza as the 14 inch represents the full length of the pizza across the center of the pizza = 7 inch

The area is thus = 22/7 × 7 × 7 = 154 inch^{2}

Now, since the full pizza costs $10.49, the cost of the pizza per  inch^{2} is 10.49/154 = 0.068 = $0.07 per  inch^{2}

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What is the value of x? Enter your answer in the box. x = ​​ A triangle with vertices labeled as A, B, and C. Side B C is the ba
Savatey [412]

Answer:

x = 5

Step-by-step explanation:

For better explanation of the solution, see the attached diagram of the problem :

The triangle angle bisector theorem states that the line which bisects an angle of a triangle divides the opposite two sides of the triangle in two equal segment which are proportional to the other two sides of the triangle.

Now, from the diagram : AD is the angle bisector angle B

\implies\frac{AB}{AC}=\frac{BD}{CD}\\\\\implies \frac{9}{15} = \frac{(2x-1)}{(3x)}

On Cross multiplication :

⇒ 9 × 3x = 15 × (2x - 1)

Using the distributive property,

⇒ 27x = 15×2x - 15×1

⇒ 27x = 30x - 15

Subtract 30x from each side:

⇒ 27x - 30x = 30x - 15 - 30x

⇒ -3x = -15

⇒ x = 5

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