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frutty [35]
3 years ago
13

A pizza restaurant has 21 topping choices and 3 crust choices. How many different 3-topping pizzas can be made if toppings can b

e selected more than once?
Mathematics
2 answers:
aliya0001 [1]3 years ago
8 0
It is 27, 783. Hope this helps
katen-ka-za [31]3 years ago
3 0

Answer: 27783

Step-by-step explanation:

Given : The number of toppings for pizza= 21

If repetition of toppings is allowed,  then the number of different 3-topping combinations will be :-

21\times21\times21=9261

Also, the number of choices for crust = 3

Then, the number if different 3-topping pizzas can be made if toppings can be selected more than once will be :_

9261\times3=27783

Hence, the number of different 3-topping pizzas can be made = 27783

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Combine the like terms to create an equivalent expression:
Sphinxa [80]

Answer:

  7k

Step-by-step explanation:

  −k−(−8k) = -k +8k = 7k

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3 years ago
In triangle $ABC$, let angle bisectors $BD$ and $CE$ intersect at $I$. The line through $I$ parallel to $BC$ intersects $AB$ and
Umnica [9.8K]

Answer:

41

Step-by-step explanation:

If you work through a series of obscure calculations involving area and the radius of the incircle, they boil down to a simple fact:

... For MN║BC, perimeter ΔAMN = perimeter ΔABC - BC = AB+AC

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Wow! Thank you for an interesting question with a not-so-obvious answer.

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<em>A little more detail</em>

The point I that you have defined is the incenter—the center of an inscribed circle in the triangle. Its radius is the distance from I to any side, such as BC, for example.

If we use "Δ" to represent the area of the triangle and "s" to represent the semi-perimeter, (AB+BC+AC)/2, then the incircle has radius Δ/s. The area Δ can be computed from Heron's formula by ...

... Δ = √(s(s-a)(s-b)(s-c)) . . . . where a, b, c are the side lengths

For this triangle, the area is Δ = √38480 ≈ 196.1632 units². That turns out to be irrelevant.

The altitude to BC will be 2Δ/(BC), so the altitude of ΔAMN = (2Δ/(BC) -Δ/s). Dividing this by the altitude to BC gives the ratio of the perimeter of ΔAMN to the perimeter of ΔABC, which is 2s.

Putting these ratios and perimeters together, we get ...

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8 0
3 years ago
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2 years ago
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4 0
2 years ago
Read 2 more answers
Solve for x in the equation x²-12x+59=0
lyudmila [28]

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7 0
3 years ago
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