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Cerrena [4.2K]
3 years ago
15

Help #23 pleaseeeeeeeee

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
A bus holds 40 people and a van holds 10

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What is the simplest form of the expression below?
sineoko [7]

Answer:

(B) cot Theta

Step-by-step explanation:

We want to simplify the expression:

\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta}  }

Now:

\dfrac{ cos\theta}{sin\theta } =cot\theta\\\dfrac{ sin\theta}{cos\theta }=tan \theta\\$Substituting these into the expression\\\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta}  }=cot\theta cot\theta X\dfrac{tan\theta}{\frac{tan\theta}{ tan \theta}  }\\=cot\theta cot\theta X tan\theta$  (Since cot\theta X tan\theta =1) \\$Therefore our result:\\=cot\theta

3 0
3 years ago
Read 2 more answers
A large university accepts ​60% of the students who apply. Of the students the university​ accepts, 50​% actually enroll. If 10,
prisoha [69]

we need to find 1% of 10000 first

so we divide 10000:100= 100 (that's 1%)

to find the 60% which will be accepted we multiply 100 × 60 = 6000 students accepted

of those 6000 we need to find 50% which is ½ so we basically just divide by 2, aka 6000 : 2 = 3000 people which will be enrolled

3 0
2 years ago
Please show work 7r + 21 = 49r
gulaghasi [49]

Answer:

1/2 = r

Step-by-step explanation:

7r + 21 = 49r

Subtract 7r from each side

7r-7r + 21 = 49r-7r

21 = 42r

Divide each side by 2

21/42 = 42r/42

1/2 = r

5 0
3 years ago
Read 2 more answers
Is the LCM ( least common multiple) of two numbers ( always,sometimes,never) the product of the two numbers?
Scorpion4ik [409]
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. SOOO, no there can be a lower number then both multiplied by each other.
7 0
3 years ago
There are 450 people at a play, the total receipt for $600 and the admission was $2 for adults and $0.75 for children, how many
sdas [7]

Answer:

340 children, 210 adults.

Step-by-step explanation:

Let \ a \ - adults, \ c - children;\\c + a = 450\\0.75c + 2a = 600|\cdot 4\\3c + 8a = 2400;\\\\c + a = 450|\cdot(-3)\\3c + 8a = 2400\\-3c -3a = -1350\\5a = 1050 => a = 210, c = 450 -210 = 340.

8 0
3 years ago
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