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Lerok [7]
3 years ago
11

Use a reference angle to write sec255∘ in terms of the secant of a positive acute angle. Do not include the degree symbol in you

r answer. For example, if the answer is sec(10∘), you would enter sec(10).
Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Answer: sec (75) or csc (15)

Step-by-step explanation:

255 is in the 3rd quadrant where the secant is. Here, the tangent and cotangent is positive.

Reference angle for 255 is,

255 - 180 = 75 degrees.

Therefore, sec (255) = sec (75)

= csc (90 - 75) = csc (15)

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Lance bought 12 quarts of lemonade so that everyone who came to his party could have exactly 1/3 quart. How many people did Lanc
igor_vitrenko [27]

Lance invited 36 people to his party.

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

It is given that,

  • Lance bought 12 quarts of lemonade.
  • Everyone who came to his party could have exactly 1/3 quart.

We know that,

The total quarts of lemonade available for the party = 12

Each person in the party consumes = 1/3 quart.

We need to find out how many people did Lance invited to his party.

<u>To find the number of people :</u>

Let us consider 'x' be the number of people invited to the party.

Total lemonade = number of people × lemonade for each person.

⇒ 12 = x × 1/3

⇒ 12×3 = x

⇒ x = 36 people

Therefore, Lance invited 36 people to his party.

6 0
3 years ago
PLEASE HELPPP MEEEEEE
Allushta [10]
Answer: T-birds and bulldogs

Explanation:

T-bird has 15 win and 5 lose so the ratio is 15/5 = 3

Bulldogs has 12 win and 4 lose so the ratio is 12/4 = 3

Therefore, their ratio are equivalent
6 0
2 years ago
Katie is buying souvenir.gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magne
NikAS [45]
The total number of gifts = x+y.
The inequality is:
x+y  \geq 24

Key chains cost $1, Magnets $0.50
Total Cost = x + 0.5y
Inequality is:
x+0.5y  \leq 20

Without graphing you can solve system by using substitution:
y = 24 - x  \\  \\ x + 0.5(24-x) = 20   \\  \\ 0.5x +12 = 20  \\  \\ x = 16 \\  \\ y = 24-16 = 8

This is one solution where the maximum x value is given.
So the most keychains that can be purchased is 16. However, because magnets are cheaper, more can be purchased as long as cost remains under 20.

If you solve both inequalities for "y", you get the upper and lower bounds for how many magnets can be purchased given a quantity of keychains.

24-x  \leq y  \leq 40 -2x \\  \\ x \leq 16

This is complete solution which gives all possible combinations.
(Graph is Attached)

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3 years ago
The number of students enrolled at a college is 14,000 and grows ​6% each year.
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Answer:

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