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Len [333]
2 years ago
14

Find sec \theta given point (7,\sqrt(15)

Mathematics
1 answer:
jonny [76]2 years ago
4 0

The <em>exact</em> value of the <em>secant</em> function of the point (x, y) = (7, √15) is equal to 8 / 7.

<h3>What is the exact value of a trigonometrical function?</h3>

Herein we have the coordinates of a point set on Cartesian plane, which represents the end of the hypotenuse of a <em>right</em> triangle. Now we must find the <em>exact</em> value of the <em>secant</em> function associated to the angle created by that point:

sec θ = 1 / cos θ

By definition of <em>trigonometric</em> functions and Pythagorean theorem:

sec θ = 1 / (x / r)

sec θ = r / x

sec θ = √(x² + y²) / x

If we know that x = 7 and y = √15, then the exact value of the secant function is:

sec θ = √(7² + 15) /7

sec θ = 8 / 7

The <em>exact</em> value of the <em>secant</em> function of the point (x, y) = (7, √15) is equal to 8 / 7.

To learn more on trigonometric functions: brainly.com/question/14434745

#SPJ1

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Nuri joins a game for a car. The rule is that Nuri pick one key from box either A, B, or C. A box has two keys but only one can
jek_recluse [69]

Answer:

0.278

Step-by-step explanation:

Given that Nuri joins a game for a car. The rule is that Nuri pick one key from box either A, B, or C. A box has two keys but only one can be used. B box has three keys but only one can be used. C box has two keys but none of them can be used.

Each box is equally likely to be selected.

In other words

P(A) = P(B) = P(C)=\frac{1}{3}

If A is selected then probability of winning is using the correct key out of two keys i.e. 0.5

If B is selected then probability of winning is using the correct key out of three keys i.e. 0.333

If c is selected then probability of winning is using the correct key out of two keys i.e. 0.00

So the probability that Nuri can win the car

= \frac{1}{3} *0.5+\frac{1}{3} *0.333+\frac{1}{3} *0\\= 0.278

6 0
3 years ago
Using complete sentences, describe the net of a rectangular prism with a length of 12 centimeters, a width of 9
nikklg [1K]

Answer:

The description is as follows:

Step-by-step explanation:

The description of the net of a rectangular prism is as follows:

The length i.e. 12 centimeters would be multiplied by width of 9 and then it added to the height i.e. 5 centimeters

The above represent the description of the net of a rectangular prism

6 0
3 years ago
Three apples and 2 oranges cost $1.25, while 2 apples and an orange were 75 cents. At the rate, find the cost of 6 apples and an
Effectus [21]
X - apple
y - orange

3x+2y=1.25\\&#10;2x+y=0.75\\\\&#10;3x+2y=1.25\\&#10;-4x-2y=-1.5\\&#10;--------\\&#10;-x=-0.25\\&#10;x=0.25\\\\&#10;2\cdot0.25+y=0.75\\&#10;0.5+y=0.75\\&#10;y=0.25\\\\&#10;6x+y=6\cdot 0.25+0.25=1.5+0.25=\boxed{1.75}
3 0
3 years ago
When renting a limo for prom, the number of people is inversely proportional to the cost per person. Originally there were 5 peo
Oksana_A [137]

Answer: The cost per person would be $15.20.

Step-by-step explanation: The price $40 per person when you have 5 people, is 8,8x the price per person. So, if you have 6 people more, you have 8,8x6 less in the price.

8,8 x 6 = 52,80.

44 x 5= 220,00. That was the cost for the limo for 5 people.

It means 220,00 - 52,80 = 167,20 (new price for 11 people)

167,20 ÷ 11 (new price per person) = 15,20.

3 0
3 years ago
What is the solution set for -4x - 10&lt; 2?
Alchen [17]

Answer:

x < -3

Step-by-step explanation:

-4x - 10 < 2

-4x < 12 (+10)

-x < 3 (÷4)

x < 3 (+x, -3)

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3 years ago
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