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3 years ago

Find the exact value: tan40/cot50 sec55/csc35 SHOW ALL WORK!

1 answer:

5 0

These are the important trigonometric relations to base on:

cot (x) = 1/tan(x)
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)

Following these properties, we could simplify the equation and input into the calculator to determine the exact value.

<span>tan40/cot50 = tan40/(1/tan50) = tan40tan50 = 1

</span><span>sec55/csc35 = (1/cos 55)/(1/sin 35) = sin35/cos55 = 1</span>

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Answer:

D. 105 ft²

Step-by-step explanation:

The total surface area is the sum of the base area and the triangular face areas.

Area of base:

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A = (7 ft)² = 49 ft²

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2 years ago

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3 years ago

In a gambling game, you roll 2 die and if you toss 2 sixes, you win $100, otherwise you lose $5.

Natalka [10]

Answer:

a. $\frac{1}{36}$ chance you win.

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Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

You roll 2 die and if you toss 2 sixes

For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:

$p = (\frac{1}{6})^2 = \frac{1}{36}$

a. What is the chance you win?

$\frac{1}{36}$ chance you win.

b. What is the expected value of the game?

1/36 probability of winning 100.

35/36 probability of losing 5. So

$E = \frac{1}{36}*100 - \frac{35}{36}*5 = \frac{100 - 175}{36} = -\frac{75}{36} = -2.08$

The expected value of the game is -$2.08.

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2 years ago