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Aloiza [94]
3 years ago
13

ASAP!!!! Solve for C, please!!!

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0
That forms a right triangle, so use the Pythagorean theorem. 5^2+2^2=c^2
25+4=c^2
c=√29
Hope this helps
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a catering service offers 6 appetizers, 10 main courses, and 8 desserts. A banquet committee is to select 2 appetizers, 3 main c
S_A_V [24]

There are two different answers that you could be looking for.
You might be asking how many different meals can be served at the banquet,
or you might be asking literally how many 'ways' there are to put meals together.

I'm going to answer both questions.  Here's how to understand the difference:

Say you have ten stones, and you tell me "I'll let you pick out two stones
and take them home.  How many ways can this be done ?"

For my first choice, I can pick any one of 10 stones.  For each of those . . .
I can pick any one of the 9 remaining stones for my second choice.
So the total number of 'ways' to pick out two stones is  (10 x 9) = 90 ways.

But let's look at 2 of those ways:
   -- If I pick stone-A first and then pick stone-G, I go home with 'A' and 'G'.
   -- If I pick stone-G first and then pick stone-A, I still go home with 'A' and 'G'.
There are two possible ways to pick the same pair.
In fact, there are two possible ways to pick <em><u>every</u></em> pair.
So there are 90 <em><u>ways</u></em> to pick a pair, but only 45 different pairs.

That's the reason for the difference between the number of <em><u>ways</u></em> the
committee can make their selections, and the number of different <em><u>meals</u></em>
they can put together for the banquet.

So now here's the answer to the question:

-- Two appetizers can be selected in (6 x 5) = 30 ways.
(But each pair can be selected in 2 of those ways,
so there are only 15 possible different pairs.)

-- Three main courses can be selected in (10 x 9 x 8) = 720 ways.
(But each trio can be selected in 3*2=6 of those ways,
so there are only 120 possible different trios.)

-- Two desserts can be selected in (8 x 7) = 56 ways.
(But each pair of them can be selected in 2 of those ways,
so there are only 28 possible different pairs.)

-- The whole line-up can be selected in (30 x 720 x 56) = <em>1,209,600 ways</em>.

But the number of different meals will be  (30 x 720 x 56) / (2 x 6 x 2) =

                                                                   (15 x 120 x 28) =  <em><u>50,400 meals</u></em>.



5 0
3 years ago
Solve the following equation. 2/3x + 6 =1/2 x + 1/4x
MA_775_DIABLO [31]

Answer:

x = 72

Step-by-step explanation:

2/3x + 6 = 1/2x + 1/4x

2/3x + 6 = 3/4x

3/4 - 2/3 = 1/12

6 = 1/12x

Multiply 6 by 12 to get x

x = 72

8 0
3 years ago
Read 2 more answers
In the figure to the right, if AC=12 and BC=9, what’s the radius?
Lynna [10]

Answer:

it aproximatley 7.937 rounded to the nearest tenth its 7.9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Why does this happen?
ki77a [65]

Answer:

It is an exponential function

Step-by-step explanation:

With every growing value of x, it will multiply itself that many number of times.

6 0
2 years ago
Kasey needs 1.5 cups of milk and 4 cups of sugar to make 12 muffins. She plans to make 36 muffins . How many fl oz of sugar does
Masja [62]

Answer:

12 cups of milk

Step-by-step explanation:

36/12= 3

4 x 3= 12

So the Answer is 12 cups of milk

4 0
3 years ago
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