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Allisa [31]
3 years ago
12

A circular pizza is being made that will fit in a box that is 14 inches by 16 inches. A 2-inch border is needed between the edge

of the box and the pizza. What is the radius, in inches, of the largest pizza that can fit in the box?
Mathematics
1 answer:
aliina [53]3 years ago
8 0

Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.

Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.

The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)

And the radius is = \frac{10}{2}=5 inches.

So, the largest pizza that can fit in the box will have a radius of 5 inches.

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Can somebody help me please
AnnyKZ [126]

It's an isosceles triangle so angles A and BCA are congruent.  

Angle BCA is the supplement of BCD, so 180-109 = 71.

Angle A is congruent to that, so A=71 degrees.

Let's see if we can get that in the format they want, kind of as a proof.

1.  ∠BCD=109° Reason: Given

2. AB ≅ BC      Reason: Given

3. ∠BCA = 71°  Reason: Linear pairs are supplementary

4. ΔABC is isosceles.   Reason: Definition of isosceles

5. ∠A ≅ ∠BCA   Reason: Isoceles triangle theorem

6. ∠A = 71°         Reason: Def congruent

Answer: 71 degrees

5 0
3 years ago
What division problem does the model show?​
garik1379 [7]

Answer:

54/3

Step-by-step explanation:

3 0
3 years ago
D/dx 3^x= <br>Find the derivative <br>​
gregori [183]

Differentiate using the exponential rule, which determines that \bf{\frac{d}{dx}[a^{x}]  } is \bf{a^{x} \ In(a) } when a=3.

\boldsymbol{ 3^{x} \ In(3) \ \to \ \ \ Answer }

Therefore, the correct option is "E". You just have to remove the parentheses.

\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}

4 0
2 years ago
35 lbs of apples cost $420. <br> How much would 6 lbs cost?
Ymorist [56]

Answer:

$72

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell
expeople1 [14]

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= 32R+38D\leq 2100

Total labor hours required

=4R+6D\leq 280

Sales revenue = 46R+55D

Solving the two constraints we have

10D \leq 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

5 0
4 years ago
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