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EastWind [94]
3 years ago
10

For an angle Θ with the point (12, −5) on its terminating side, what is the value of cosine?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0
Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13

Answer is option . D
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Given that f(x) = x2 + 6x – 2, g(x) = x – 7, and h(x) = x + 4 find each function.
choli [55]

Answer:

A) x² + 7x - 9

Step-by-step explanation:

Deduct\Add each like-term to arrive at your answer.

3 0
3 years ago
Write an equivalent expression for 25x - 45 using the properties of operations. Hint: find the GCF of 25 and 45. You use parenth
Oksana_A [137]

Answer:

25x - 45 = 5(5x - 9)

Step-by-step explanation:

Find the greatest common factor (GCF) of 25 and 45.

You can do this several ways, but one way is to list all the factors of both numbers and find the greatest common one:

Factors of 25: 1, 5, 25

Factors of 45: 1, 3, 5, 9, 15, 45

Therefore, 25 and 45 have 2 common factors: 1 and 5

So the greatest common factors is 5

25x - 45 = 5(ax - b)

To find the value of a, simply divide 25 by 5: 25 ÷ 5 = 5

To find the value of b, divide 45 by 5: 45 ÷ 5 = 9

25x - 45 = 5(5x - 9)

3 0
3 years ago
What’s the value of x?
iogann1982 [59]

Answer:

X=8

Step-by-step explanation:

Opposite side angles on the transversal are congruent.

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3 0
3 years ago
Daniel works at a nearby electronics store. He makes a commission of 15% on everything she cells. If he sells a laptop for $293,
Bezzdna [24]

Hi there!

So here's the important information we know:

He makes 15% comission on everything he sells

He sells a laptop for $293


To find out how much money Daniel makes in comission for the laptop, you need to calculate 15% of $293, which is the same thing as multiplying 15% by $293 :

15% × 293 = $

0.15 × 293 = $

43,95 = $


So your answer is: If Daniel sells a laptop for $293, he makes a comission of $43,95.


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
Read 2 more answers
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