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3 years ago

Evaluate 2 tan 45 - tan 60

Mathematics

2 answers:

Darya [45]3 years ago

6 0

Answer:

2 - √3

Step-by-step explanation:

tan45 = 1

tan60 = √3

2 tan 45 - tan 60

2(1) - √3

=> 2 - √3

hoa [83]3 years ago

4 0

Answer:

In degrees: 0.27 (rounded)

In radians: 2.92 (rounded)

Step-by-step explanation:

<em>Brainliest, please!</em>

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Expand and simplify 2(2x+3)+(5x+4)

LekaFEV [45]

2(2x+3)+(5x+4) simplified would be 4x+6+5x+4 and if you add those together you get 9x+10. Hope I helped! if you have any questions just leave a comment

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2 years ago

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An engineering crew ran several tests on a new automobile engine they were designing. The mean fuel consumption was 52.4 miles p

zhenek [66]

Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."

2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8. Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."

54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.

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3 years ago

Ron's recycle shop had an old paper-shredding machine. Business was good, so he bought a new paper-shredding machine. The old ma

levacccp [35]

Answer: 1 hour 20 minutes

Step-by-step explanation:

Given : The old machine could shred a truckload of paper in 4 hours.

Rate of work done by old machine = $\dfrac{1}{4}$

The new machine could shred the same truckload in 2 hours.

Rate of work done by new machine = $\dfrac{1}{2}$

Let 't' be the time taken by both of them working together , then we have the following equation:-

$\dfrac{1}{t}=\dfrac{1}{4}+\dfrac{1}{2}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1+2}{4}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{4}\\\\\Rightarrow t=\dfrac{4}{3}=1\dfrac{1}{3}\ \text{ hours}$

Since 1 hour = 60 minutes

Then, $\dfrac{1}{3}\ \text{ hours}=\dfrac{1}{3}\times60=20\text{ minutes}$

Hence, it will take 1 hour 20 minutes to shred the same truckload of paper if Ron runs both shredders at the same time.

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3 years ago

18) Solve the system. 0.4x - 0.1y = 2 0.2x + 0.5y = 1 A) (5, 0) B) (0, 5) C) (-5, 0) Eliminate D) (3, -10) please help me its ex

Artemon [7]

To solve the set of equations given above, we can use the substitution method where we substitute one equation to the other and solving for one variable. We do as follows:

<span>0.4x - 0.1y = 2
x = 5 + 0.25y

0.2x + 0.5y = 1
</span>0.2(5 + 0.25y)+ 0.5y = 1
y = 0
x = 5

Therefore, the correct answer from the choices is option A, (5,0).

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2 years ago

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Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The mean and st

netineya [11]

Answer:

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Step-by-step explanation:

Given

$\mu S = \$6,348.75$

$\sigma S = \$1,508$

Required

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This implies that:

For the in-state students, the standard deviation measures how the sum of their tuition varies from 6348.75

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2 years ago

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Evaluate 2 tan 45 - tan 60​

Evaluate 2 tan 45 - tan 60