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2 years ago

If sine theta equals one half and pi over two is less than theta is less than pi, what are the values of cos Θ and tan Θ?

Mathematics

1 answer:

iogann1982 [59]2 years ago

6 0

Answer:

cosine theta equals negative square root of three over two; tangent theta equals negative square root of three over three

Step-by-step explanation:

If the angle were a 1st-quadrant angle, it would be ...

arcsin(1/2) = π/6

and the other functions would be ...

cos(π/6) = (√3)/2

tan(π/6) = 1/√3 = (√3)/3

The angle of interest is in the second quadrant, where the signs of cosine and tangent are negative. Hence, ...

θ = 5π/6
cos(5π/6) = -(√3)/2
tan(5π/6) = -(√3)/3

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3 years ago

The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with me

andrey2020 [161]

Answer:

0.5466

Step-by-step explanation:

Given that the length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days.

Let X be the length of pregnancies

X is N(266,16)

To find out the probability that pregnancies last between 240 and 270 days (roughly between 8 months and 9 months)

P(240<x<270)

convert each into Z score as $z=\frac{x-266}{16}$

x=240 means Z = -1.625

x=270 means z=0.25

Required prob

= $P(-1.625$

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2 years ago

He table shows the number of bathrooms in some selected houses and apartments.

lakkis [162]

Percent is amount/ total #×100
44+18= 62 which is the total amount of apartments
44/62 have 1 bathroom 44/62×100=71%
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3 years ago

Read 2 more answers

You have a set of cards labeled 1-10. Set A is drawing an even card. Set B is drawing a 8 or higher. What is the P ( A ∪ B ) ?

creativ13 [48]

set A = {2, 4, 6, 8, 10} (only even cards)

set B = {8, 9, 10} (8 or higher)

( A ∩ B ) means the numbers which are common in both sets .

They both have 8 & 10 in common.

So the answer is: P(A ∩ B) = {8,10}

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3 years ago

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2 years ago