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MArishka [77]
3 years ago
10

Write sin(19°) in terms of cosine.

Mathematics
1 answer:
Leto [7]3 years ago
3 0

Answer:

cos(71)

Step-by-step explanation:

Since 19° is less than 90, we can express this in terms of confunction.

sin(θ) = cos(90-θ)

sin(19) = cos(90-19)

sin(19) = cos(71)

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. A rectangular prism has a volume of 1374.28 inches. The prism is 9.4 inches wide and 17.2 inches long. What is the height of t
VashaNatasha [74]

Answer:

h = 8.5 inches

Step-by-step explanation:

Given that,

The volume of a rectangular prism = 1374.28 inches³

The prism is 9.4 inches wide and 17.2 inches long.

We need to find the height of the prism. We know that the formula for the volume of rectangular prism is given by :

V = lbh

Where

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So,

h=\dfrac{V}{lb}\\\\h=\dfrac{1374.28 }{9.4\times 17.2}\\\\h=8.5\ inches

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3 0
3 years ago
Joseph owns a small business selling bagels. He knows that in the last week 71 customers paid cash, 4 customers used a debit car
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Probability helps us to know the chances of an event occurring. The probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring. The sum of all the probabilities of an event is always equal to 1. The formula for probability is given as,

\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Given that in the last week 71 customers paid cash, 4 customers used a debit card, and 36 customers used a credit card. Therefore, the total number of customers who came to the business last month is,

Total number of customers = 71 + 4 + 36 = 111

Now, the probability that the next customer will pay with cash is,

Probability

= Number of customers who pay with cash / Total number of customers

= 71 / 111

= 0.63963

To convert probability into percentage multiply it by 100%, therefore, the probability can be written as,

Probability = 0.63963 × 100%

                  = 63.963% ≈ 64%

Hence, the probability that the next customer will pay with cash as a percent to the nearest whole number is 64%.

Learn more about Probability here:

brainly.com/question/795909

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