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True [87]
2 years ago
10

Which two angles do NOT represent adjacent angles?

Mathematics
1 answer:
aivan3 [116]2 years ago
3 0
The answer is D. hope this helped :)
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As part of quality-control program, 3 light bulbs from each bath of 100 are tested. In how many ways can this test batch be chos
hichkok12 [17]

Answer:

<h3>By 161700 ways this test batch can be chosen.</h3>

Step-by-step explanation:

We are given that total number of bulbs are = 100.

Number of bulbs are tested = 3.

Please note, when order it not important, we apply combination.

Choosing 3 bulbs out of 100 don't need any specific order.

Therefore, applying combination formula for choosing 3 bulbs out of 100 bulbs.

^nCr = \frac{n!}{(n-r)!r!} read as r out of n.

Plugging n=100 and r=3 in above formula, we get

^100C3 = \frac{100!}{(100-3)!3!}

Expanding 100! upto 97!, we get

=\frac{100\times 99\times 98\times 97!}{97!3!}

Crossing out common 97! from top and bottom, we get

=\frac{100\times 99\times 98}{3!}

Expanding 3!, we get

=\frac{100\times 99\times 98}{3\times 2\times 1}

= 100 × 33  × 49

= 161700 ways.

<h3>Therefore,  by 161700 ways this test batch can be chosen.</h3>
3 0
3 years ago
How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/
ale4655 [162]

Answer:

3/2 miles per hour

Step-by-step explanation:

How do I find miles per hour from 2 fractions? For Example: If I ran for 1/2 miles when It lasted 1/3 of an hour. Would It be 1/6?

Given data

distance= 1/2 miles

time= 1/3 hour

Speed= distance/time

Substitute

Speed= 1/2/1/3

Speed= 1/2*3/1

Speed= 3/2 miles per hour

3 0
2 years ago
Every Sunday, Tamika sells pieces of homemade fudge at a local carnival. Each piece of fudge weighs 34 pound. Next Sunday, Tamik
Aloiza [94]

Answer:

hshshshshshshshsiqkZjfdudiodjfhfbbxdudijdd

5 0
3 years ago
Simplify 7 square root of 3 end root minus 4 square root of 6 end root plus square root of 48 end root minus square root of 54
Katen [24]
7\sqrt3-4\sqrt6+\sqrt{48}-\sqrt{54}\\\\=7\sqrt3-4\sqrt6+\sqrt{16\cdot3}-\sqrt{9\cdot6}\\\\=7\sqrt3-4\sqrt6+\sqrt{16}\cdot\sqrt3-\sqrt9\cdot\sqrt6\\\\=7\sqrt3-4\sqrt6+4\sqrt3-3\sqrt6\\\\=\boxed{11\sqrt3-7\sqrt6}
3 0
3 years ago
Kai picked 7 times as many blueberry as Nico.together they picked 297
Helga [31]

Answer:

Step-by-step explanation:

You need to specify what the goal of the problem is.

If Kai picked 7 times as many blueberries as Nico, then:

n + 7n + 297, or

8n = 297.  Unfortunately, 8 does not divide evenly into 297, and we certainly are not interested in picking fractional blueberries.

If the problem mentioned 296 instead of 297 total blueberries, then

Nico (n) picked 47 blueberries and Kai picked 7 times that many, or 329.

5 0
3 years ago
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