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kicyunya [14]
4 years ago
7

Translate this sentence into an equation. The product of Mabel's score and 6 is 90 . Use the variable m to represent Mabel's sco

re.

Mathematics
1 answer:
Jobisdone [24]4 years ago
3 0

product is the answer to a multiplication problem mx6=90

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Cos(2theta)=11 sin(theta)-5
lubasha [3.4K]
\cos2\theta=11\sin\theta-5
1-2\sin^2\theta=11\sin\theta-5
2\sin^2\theta+11\sin\theta-6=0
(2\sin\theta-1)(\sin\theta+6)=0
\implies\begin{cases}2\sin\theta-1=0\\\sin\theta+6=0\end{cases}

The second equation gives \sin\theta=-6, but -1\le\sin\varphi\le1 for any real \varphi, so we can ignore this equation.

This leaves us with

2\sin\theta-1=0\implies \sin\theta=\dfrac12\implies\theta=\dfrac\pi6+2\pi k,\theta=\dfrac{5\pi}6+2\pi k

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3 0
3 years ago
Thereare 30 students in mr.holland's music class.if 30% of the students play in the school band,how many students in the class p
stiv31 [10]
9 students in the class play in the school band. 

30% of 30
Well, when doing a percentage you first turn the percentage into a decimal (move the % two units to the left). So 30% = 0.3

In math, the word of  means multiplication, so: 0.3 x 30 
Which equal 9. 

You can also turn the percentage into a fraction, it's really up to preference. 

30/100 of 30 = 3/10 of 30 = 3/10 x 30 = 3/10 x 30/1 = 9/1 or 9

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3 years ago
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What is the conjugate of the denominator (5 – V2)?
Maslowich

Answer:

5 + \sqrt{2}

Step-by-step explanation:

Given a ± \sqrt{b} , then the conjugate is

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Given

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What dose (-1/4) * (1/3)=
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Sam's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Sam $5.70 per pound, and type B co
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4 years ago
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