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3 years ago

Find the exact value of sec(5pi/ 3) and and sin(7pi/6)

Mathematics

2 answers:

RoseWind [281]3 years ago

4 0

Answer:

sec(5pi/ 3) = 2 and sin(7pi/6) = -1/2

Step-by-step explanation:

Ann [662]3 years ago

3 0

I know the equation is 1/cos
but is it negative sqrt(3)/2 or positive?
or is it negative 1/2 or positive?
This makes the reference angle π/6 or 30º which gives cos 30º=√3/2 or a sec value of 2/√3=2√3/3
sec(-5pi/6)=-2√3/3

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Please help me if you can. Please also write how you got the answer thank you.

Sever21 [200]

The answer is 8shares

Step- My - Step
2,000 divided by 237.68
= 8.414....

6 0

3 years ago

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Consider a large shipment of 400 refrigerators, of which 40 have defective compressors. If X is the number among 15 randomly sel

Vlad [161]

Answer:

The required probability is 0.94

Step-by-step explanation:

Consider the provided information.

There are 400 refrigerators, of which 40 have defective compressors.

Therefore N = 400 and X = 40

The probability of defective compressors is:

$\frac{40}{400}=0.10$

It is given that If X is the number among 15 randomly selected refrigerators that have defective compressors,

That means n=15

Apply the probability density function.

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We need to find P(X ≤ 3)

$P(X\leq3) =P(X=0)+P(X=1)+P(X=2)+P(X=3)\\P(X\leq3) =\frac{15!}{15!}(0.1)^0(1-0.1)^{15}+\frac{15!}{14!}(0.1)^1(1-0.1)^{14}+\frac{15!}{13!2!}(0.1)^2(1-0.1)^{13}+\frac{15!}{12!3!}(0.1)^3(1-0.1)^{12}\\$

$P(X\leq3) =0.944444369992\approx 0.94$

Hence, the required probability is 0.94

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2 years ago

Simplify this expression please and thank you

Sergeeva-Olga [200]

The answer is 2x-y

step-by-step explanation
in order to simplify you have to come one like terms and in this case you have your 3x and you’re subtracting x which is also know as 1x.
3x - 1x = 2x (then you still have your y) so 2x-y

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1 year ago

In kite WXYZ, the measure of x=z=86° and y=72°<br><br><br>What is the measure of w?

Anna [14]

W=166 degrees

okay so the total measure of the angles should be 360 so you gotta do 86+86+72+w=360
86+86+72=244
360-244=116

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3 years ago

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Please explain how - calc ab - see attached photo

baherus [9]

Answer:

Step-by-step explanation:

Set up to different integrals that match the endpoints

so in our case it would look like

$\int\limits^0_{-2} {x} \, dx +\int\limits^1_0 {x+1} \, dx$

now it's just a matter of computing it

$\int\limits^0_{-2} {x} \, dx =x^2\\0^2-(-2)^2=4\\\int\limits^1_0 {x+1} \, dx =\frac{x^2}{2}+x\\\frac{1}{2}+1-0=\frac{3}{2}\\\frac{3}{2}+4=\frac{11}{2}$

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2 years ago