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3 years ago

7

Calcular: E = (sec245o + tg45o) ctg37o - 2cos60o

1 answer:

Vlada [557]3 years ago

7 0

Answer:

$-2.813$

Step-by-step explanation:

Se simplifica inicialmente la fórmula en términos de las funciones trigonométricas fundamentales (Initially, the formula is simplified in terms of fundamental trigonometric functions):

$(\sec 245^{\circ} + \tan 45^{\circ} )\cdot \cot 37^{\circ} - 2\cos 60^{\circ}$

$\left(\frac{1}{\cos 245^{\circ}}+\frac{\sin 45^{\circ}}{\cos 45^{\circ}} \right)\cdot \left(\frac{\cos 37^{\circ}}{\sin 37^{\circ}} \right) - 2\cdot \cos 60^{\circ}$

$(-2.366 + 1 )\cdot (1.327) - 1$

$-2.813$

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timama [110]

Answer: 16/24

Step-by-step explanation: Find out a common denominator: 8,16,24 and 3,6,9,12,15,18,21,24. Which is 24.

Take 5/8 multiplied by 3 because its the 3rd multiple of 8. Which is 15/24.

Then, take 2/3 and multiply by 8 because its the 8th multiple of 3. This will give you 16/24.

Make sure to multiply both the top and bottom. :D

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3 years ago

20% of the patron's order the chef's special. The probability that 2 out of the next ten customers will order the chef's special

kotegsom [21]

Answer:

$P(x =2) = 0.3020$

Step-by-step explanation:

Given

$p =20\% = 0.20$

$n = 10$

Required

$P(x = 2)$

This question is an illustration of binomial distribution where:

$P(X = x) = ^nC_x * p^x * (1 - p)^{n-x$

So, we have:

$P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}$

$P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8$

This gives

$P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8$

$P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8$

Expand

$P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8$

$P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8$

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3 years ago

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3 years ago

Jacqueline earned a commission of $200 for one week at work. her commission rate is 12% of the merchandise she sells. how much m

guajiro [1.7K]

For this case, the first thing we must do is define variables.

We have then:

m: original quantity of merchandise sold (in $)

We then have the following idea:

(original amount) (percent) = new amount

The new amount is the amount that Jacqueline earns for 12% of the commission on sales.

We have then:

$m (0.12) = 200$

Clearing m we have:

$m =\frac{200}{0.12}\\m = 1666.7$

Answer:

The equation that solves the problem is:

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3 0

3 years ago

Read 2 more answers

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Vedmedyk [2.9K]

Answer:

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total = 1/4 gallon

split into 4 containers

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8 0

4 years ago