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3 years ago

14

Write 36 as a product of prime factors

1 answer:

dybincka [34]3 years ago

7 0

Answer:

2*2*3*3

Step-by-step explanation:

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Solve 2csc^2x-2cscx-1=0 <br> for 0° ≤ x ≤ 360°

umka21 [38]

Answer:

Step-by-step explanation:

2 csc²x-2 csc x-1=0

or

$\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ$

6 0

2 years ago

sing traditional methods, it takes 108108 hours to receive a basic driving license. A new license training method using Computer

solniwko [45]

Answer:

$z_{stat} = -1.50$

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 108

Sample mean, $\bar{x}$ = 107

Sample size, n = 110

Alpha, α = 0.02

Population standard deviation, σ = 7

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{107 - 108}{\frac{7}{\sqrt{110}} } = -1.50$

The test statistic is -1.50

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2 years ago

The regular price of a child's entry ticket to a water park is $9 less than that for an adult's. The park offers half off all en

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The correct answer is $51

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Danielle runs an afterschool program for children. The local baseball team donated 220 game tickets to the program. If Danielle

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220 / 4 = 55 tickets per unit

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3 years ago

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A cab service charges $4 plus $1.50 per mile. Kate wants to spend no more

bearhunter [10]

Answer:

b

Step-by-step explanation:

took the test i got bj : fz wf

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2 years ago

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