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Sever21 [200]
3 years ago
7

Trig please help

Mathematics
2 answers:
Olenka [21]3 years ago
6 0

Answer:

One

Step-by-step explanation:

14/sin(54) = 7/sinC

sinC = 0.4045084972

C = 23.86, 156.14

Since 156.14+54 = 210.14 > 180

Only one triangle can be formed with angle 23.86° at C

irinina [24]3 years ago
6 0

Answer:

None (zero)

Step-by-step explanation:

8/sin(70) = 16/sinB

=>sinB = 1.88

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Answer:

  $528

Step-by-step explanation:

If cost is proportional to order quantity, the cost for 17+5 = 22 cases of cups will be 22/17 times the cost for 17 cases:

  (22/17)($408) = $528

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3 years ago
A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4
Oksanka [162]
<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

y = -1.437 x + 197.686

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

y = -1.437 (14) + 197.686

Now, we solve.

y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

y = -1.437 (50) + 197.686

Now, we solve.

y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
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4 years ago
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