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Agata [3.3K]
3 years ago
12

Write the expression as either the sine, cosine, or tangent of a single angle.

Mathematics
1 answer:
Xelga [282]3 years ago
5 0
<span>we know that cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
given a = π/3 and b = π/5
cos(π/3) cos(π/5) + sin(π/3) sin(π/5) = cos((π/3) - (π/5) = cos(2π/15)
hope it helps
</span>
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The weekly pay that Melissa receives varies directly with the number of hours she works. If she works 34 hours she makes 274.04.
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Answer:

Step-by-step explanation:

274.04/34=8.06(21)=169.26

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A tape manufacturer has created a new formula that is supposed to be more adhesive on all types of surfaces. Managers wish to co
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Answer:

This is an experiment with blocking ( B )

Step-by-step explanation:

The best way to describe this experiment is an experiment with blocking this is because the Type of surface where the tape is been tested can be considered a  blocking variable while the weights can be considered  as treatments

A blocking variable is a variable used in experiment which is not of primary interest to the experiment  observer ( I.e. The tape is supposed to hold on all types of surfaces and not just on Aluminum and wood surface )

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3 years ago
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Teresa buys a $2700 refrigerator using an installment plan that requires 20% down. How much is the down payment? A. $27 B. $270
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Answer:

C $540

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2 years ago
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PLEASE HELP ME ASAP
bearhunter [10]

The series is a convergence series and the sum of the series is -8/3

<h3>The type of the series</h3>

The series is given as:

\sum\limits^{\infty}_{n = 1} -4(-\frac 12)^{n-1}

The above series has the following properties:

  • First term; a = -4
  • Common ratio, r = -1/2

Start by calculating the absolute value of the common ratio

Absolute value = |-1/2|

This gives

Absolute value = 1/2

The above value is less than 1.

It means that the series converges.

<h3>The sum of the series</h3>

This is calculated using:

S_{\infty} = \frac{a}{1 -r}

So, we have:

S_{\infty} = \frac{-4}{1 + \frac 12}

Evaluate the sum

S_{\infty} = \frac{-4}{\frac 32}

Evaluate the quotient

S_{\infty} = \frac{-8}{3}

Hence, the sum of the series is -8/3

Read more about geometric series at:

brainly.com/question/24643676

#SPJ1

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2 years ago
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