Mathematics, 16.01.2020 23:31 jlewis711777

Plz , worth 20 pts.

determine the approximate value of t.

2.03

5.54

6.4

15.45

Plz , worth 20 pts. determine the approximate value of t. 2.03<

Answers: 1

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Answer from: brennarfa

The approximate value for t is 5.54

Option B

Step-by-step explanation:

The law of cosines generalizes the Pythagorean formula to all triangles. It says that $c^{2}$ , the square of one side of the triangle, is equal to $a^{2}+b^{2}$ product times the cosine of the opposite angle. When the angle C is right, it becomes the Pythagorean formula.

$c^{2}=a^{2}+b^{2}-2 a b \cos C$

According to the given triangle in figure, the values are

a = 5

b = 4

c = t

$\cos C=\cos 75^{\circ}=0.2588$

Substituting all the given values in the formula, we get

$t^{2}=5^{2}+4-(2 \times 5 \times 4 \times 0.2588)$

$t^{2}=25+16-10.3527$

$t^{2}=41-10.3527=30.647$

Taking square roots, we get the value for ‘t’ as below,

$t=\sqrt{30.647}$

t = 5.536 (approximately 5.54)

Answer from: gianababnnna

B. 5.54

Step-by-step explanation:

To find out what t is, use the formula t=√[r² + s² - 2rs * cos(T)].

t = √[4² + 5² - 2(4(5)) * cos(75)]

t = √[16 + 25 - 8(5) * cos(75)]

t = √[41 - 40 * cos(75)] (For convenience, 40 * cos(75) has been approximated.

t = √[41 - 10]

t = √31

To approximate a square root subtract the lower square (25) from 31 and put that over the higher square (36) minus the lower square (25).

t ≈ 5 + (31 - 25)/(36 - 25)

t ≈ 5 + 6/11

t ≈ 5 6/11 ≈ 5.54, so B is the answer.

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

overpriced

step-by-step explanation:

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Plz , worth 20 pts.

determine the approximate value of t.

2.03

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