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2 years ago

Find sec θ if tan θ = 15/8 and θ terminates in QIII.

1 answer:

5 0

Tangent = opposite/adjacent
tangent = 15 / 8
If opp = 15 and adj = 8 then
hypotenuse^2 = 15^2 + 8^2
hypotenuse^2 = 225 + 64
hypotenuse^2 = 289
hypotenuse = 17

secant = hypotenuse / adjacent
secant = 17 / 8
secant = 2.125

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Lostsunrise [7]

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3 years ago

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2 years ago

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Klio2033 [76]

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Step-by-step explanation:

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3 years ago

You are planning to hire a full-time electrician who will work 40 hours per week. If you plan on giving this new hire three week

tresset_1 [31]

Option b) 1960 is the total number of hours the electrician worked.

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

It is given that, the full-time electrician will work 40 hours per week.

So, we need to know the total number of hours he could work in twelve months which is one year.

Therefore, one year has a total of 365 days.

<u>To find the number of weeks in twelve months :</u>

Number of weeks = Total days in one year / 7 days of week

⇒ 365 / 7

⇒ 52.14 (approximately 52 weeks)

The number of weeks in twelve months is 52 weeks.

Now, of this 52 weeks, the three weeks are given as vacation.

The total number of weeks the electrician worked = 52 weeks - 3 weeks

⇒ 49 weeks.

The electrician worked for 49 weeks.

To calculate the total number of hours he worked = 49 weeks × 40 hours

⇒ 1960 hours.

Therefore, the total number of hours the electrician worked is 1960 hours which is option b).

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3 years ago

The food bank has 1774.4 oz of chicken.If 12.6 oz is 2 servings,how many servings of chicken does this provide?

diamong [38]

Answer:

281 servings

Step-by-step explanation:

From the table attached,

We will apply the unitary method to solve this problem.

∵ 12.6 oz of chicken represents number of servings = 2

∴ 1 oz of chicken will represents number of servings = $\frac{2}{12.6}$

∴ 1774.4 oz of chicken will make the total servings = $\frac{2}{12.6}\times 1774.4$

= 281.65

≈ 281 servings

Therefore, total number of servings provided = 281

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3 years ago