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3 years ago

Which expression is equivalent to cos 120°?

Mathematics

1 answer:

ryzh [129]3 years ago

4 0

Answer:

cos 120° = -1/2

Step-by-step explanation:

cos 120° = (adjacent side) / (hypotenuse.

Here the adjacent side (the side next to the central angle in this 30-60-90 triangle) is -1. Then the hypotenuse is 2 and the opposite side is √3.

Thus, cos 120° = -1/2

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(1) What are the zeros of the graph below?

Kitty [74]

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Every year, Calaveras County holds a frog jumping contest. Mia entered her frog into the 100-yard contest and it completed the r

worty [1.4K]

Answer:

Step-by-step explanation:

For Mia:

distance,d = 100 yard

time, t = 2 min 33 sec = 153 s

Speed = distance / time

speed = 100 / 153 = 0.65 yard/s

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3 years ago

It is 76°f at the 6000-foot level of a mountain, and 49°f at the 12,000-foot level of the mountain. write a linear equation to f

valina [46]

Answer:

$t(x) = 103 -0.0045x$

Step-by-step explanation:

We are given the following in the question:

Let the equation:

$t(x) = a + bx$

be the linear equation that represent temperature at an elevation x.

Temperature at 6000-foot level = 76 f

$76 = a + 6000b$

Temperature at 12000-foot level = 49 f

$49 = a + 12000b$

Solving the two equation, we get,

$76-49 = -6000b\\27=-6000b\\\\b = \dfrac{-27}{6000}\\\\b = -0.0045\\76 = a + (-0.0045)6000\\76 = a -27\\a = 76 + 27\\a =103$

Thus, we can write the linear equation as:

$t(x) = 103 -0.0045x$

5 0

3 years ago

The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 player, in rou

Aleks04 [339]

Answer:

$a_{n} = a_{1} (\frac{1}{2} )^{n - 1}$ where $a_{1} = 256$ .

The number of players compete in round 7 will be 4.

Step-by-step explanation:

The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 players, in round 2 there are 128 players, and so on.

So, the number of players is multiplied by $\frac{1}{2}$ gives the number of players in the next round.

Therefore, the explicit function of number of players in nth round is given by

$a_{n} = a_{1} (\frac{1}{2} )^{n - 1}$ where $a_{1} = 256$ .

Therefore, the number of players compete in round 7 will be $a_{7} = 256 \times (\frac{1}{2} )^{(7 - 1)} = 4$ . (Answer)

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3 years ago