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3 years ago

Is this equation an identity? tanx=sinx/cos x

Mathematics

2 answers:

ElenaW [278]3 years ago

7 0

Yes........its an identity

igor_vitrenko [27]3 years ago

7 0

Answer:

yes

Step-by-step explanation:

tan x = sin x / cos x is both a definition and an identity; it is always true.

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Singh works at a restaurant where he is paid by the hour plus time-and-a-half for his hours over 40. Last week he worked 3 hours

Stolb23 [73]

Answer:

The hourly wage is $8.55 per hour

Step-by-step explanation:

Step 1: Determine the expression for the gross pay

Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)

where;

Total gross pay=$380.48

Unit rate per hour=x

Number of hours=40 hours

Overtime rate=x×(1 1/2)=1.5 x

Number of overtime hours=3 hours

Step 2: Replace to solve for hourly wage

380.48=(x×40)+(1.5 x)×3

40 x+4.5 x=380.48

44.5 x=380.48

x=380.48/44.5

x=8.55

The hourly wage is $8.55 per hour

5 0

3 years ago

3. A small company has just bought two software packages to solve an accounting problem. They are called Fog and Golem. On first

Vadim26 [7]

Answer:

82%

Step-by-step explanation:

7 0

3 years ago

Find the original price of a pair of shoes if the sale price is $78 after a 25 discount

pantera1 [17]

$78 without tax multiplied by 1.25 or 25% is $97.5 sales tax makes them $107.25

4 0

3 years ago

These two lines are parallel. Write an equation for each.

tresset_1 [31]

Answer:

Step-by-step explanation:

Hey! I would love to help, but the image is dark, and there's no numbers. Was this how the teacher gave it to you?

7 0

2 years ago

The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun

Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. $\mu=12.30$ and $\sigma=0.20$

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process = probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

$P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587$

Hence, the required probability= A) 0.1587

6 0

3 years ago