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3 years ago

Use the value of the trigonometric function to evaluate the indicated function.

Mathematics

1 answer:

Sonbull [250]3 years ago

6 0

Answer:

$\displaystyle \sin t = - \frac{5}{6}$

Step-by-step explanation:

Recall that since sine is an odd function:

$\displaystyle \sin (-\theta) = -\sin \theta$

Hence:

$\displaystyle \sin(-t) = -\sin t = \frac{5}{6}$

Therefore:

$\displaystyle \sin t = - \frac{5}{6}$

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stellarik [79]

Answer:

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3 years ago

The Students at Sunnyside School built a rectangular pyramid of aluminum cans for a world record. The top layer had 2 rows with

Lana71 [14]

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3 years ago

The most recent poll of 50 randomly-selected members of a school club with a total of 80 members showed that 38 are planning to

melisa1 [442]

Answer with Explanation:

Total number of members in School Club = 80 members

Number of member randomly Selected,that is sample size used (P) = 50 members

Number of members who are planning to vote for Talia = 38 members

Z Score for 95% confidence interval =1.96

it is given that Margin of Error ,E,of the poll using a 95% confidence interval=12%

$E=\frac{Z*\sigma}{\sqrt{P}}\\\\ \frac{12}{100}=\frac{1.96 * \sigma}{\sqrt{50}}\\\\ \sigma=4.32890$

Standard Deviation=4.3 (approx)

→95% confidence level for students who are planning to vote for Talia as president of the club lie between → 38 + 4.3 = 42.3 to 38 -4.3=33.7.

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5 0

3 years ago

Read 2 more answers

Apply the Pythagorean Theorem to find the distance between points B and C.

Lyrx [107]

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3 years ago

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If the given values in a right triangle are cos A =

Vlad1618 [11]

See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2

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3 years ago