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3 years ago

15

an arts academy requires there to be 3 teachers for every 75 students and 6 tutors for every 72 students. How many students does

the academy have per teacher?

1 answer:

Zinaida [17]3 years ago

5 0

Each teacher has 25 students. 75/3 would be 25. I hope this helped!

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Sin(θ) cos(3θ) + cos(θ) sin(3θ) = 0

pychu [463]

$\displaystyle\\
\text{We use formula:}\\
\sin(\alpha+\beta)=\sin(\alpha)\cos(\beta)+cos(\alpha)\sin(\beta)\\\\
Resolve:\\\\
\sin(\Theta)cos(3\Theta)+cos(\Theta)sin(3\Theta)=0\\\\
\sin(\Theta+3\Theta)=0\\\\
\sin(4\Theta)=0\\\\
\text{We have two solutions:}\\\\
4\Theta=0~~\Longrightarrow~~\Theta=\frac{0}{4}=0~~\Longrightarrow~~ \boxed{\Theta_1=0+2k\pi}\\\\
4\Theta=\pi~~\Longrightarrow~~\Theta=\frac{\pi}{4}~~\Longrightarrow~~ \boxed{\Theta_2=\frac{\pi}{4}+2k\pi}\\\\$

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3 years ago

I’m doing a review but I forgot how to do this can someone help?

Daniel [21]

Answer:

-3x+10=5x-8

so basically its like grouping.

so answer is

8x=18?

Step-by-step explanation:

sorry if incorrect

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3 years ago

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Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbe

Brums [2.3K]

The Answer Is , 2.5-1.4 = 1.1

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3 years ago

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A girl spends 1/4 of her pocket money and 3/6on Wednesday what fraction of her money is half

s344n2d4d5 [400]

Answer:

1/4 is left

Step-by-step explanation:

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3 years ago

♡♡♡ ▲ ▲ ▲ ▲ Ratio of hearts to triangles in simplest form.

Vitek1552 [10]

3 hearts

4 triangle

H:T

3:4

So, ratio of hearts to triangles in simplest form is 3:4

(we can't simplify any further - HCF of 3 & 4 is 1)

Hope this helps!

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2 years ago