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2 years ago

What is the secant of angle L? A) 15/12 B) 13/5 C)12/13 D)12/5

Mathematics

1 answer:

Gennadij [26K]2 years ago

6 0

Hey there! I'm happy to help!

The secant is the ratio of the hypotenuse to the side adjacent to the angle. However, we do not have the measure of the hypotenuse given to us. This is a right triangle, so we can use the Pythagorean Theorem to find the hypotenuse. Our sides have lengths of 5 and 12.

5²+12²=c²

25+144=c²

c²=169

We square root both sides

c=13

Now, we take our hypotenuse (13) and we put it over the adjacent side to angle L, which is 5.

Therefore, the secant is B) 13/5.

I hope that this helps! Have a wonderful day!

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Read 2 more answers

If cos theta is -5/13 and sin θ < 0, what is tan θ ?

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Take the right angled triangle with sides 13, 12 and 5. sine theta will be 12/13

When sin theta < 0 and cos theta < 0 we are in the third quadrant so sin theta will be -12/13

tan theta = sin theta / cos theta = -5/13 / -12/13 = -5*13 / -12*13 = 5/12

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3 years ago

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2 years ago

Instructions: Simplify the algebraic expression.<br><br> −12(32x−10y)

allochka39001 [22]

Answer:

-384x - 120y

Step-by-step explanation:

General Concepts and Formulas:

Brackets

Parentheses

Exponents

Multiplication

Division
Addition
Subtraction

Steps:

1) Distribute

$-12(32x-10y)$

We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.

So first, multiple -12 by 32 and add the variable 'x' when getting the product:

-12(-384x - 10y)

Now that we have one part, let's solve the other part.

We now must multiple -12 by -10, which gets us 120, now we must plug in:

(-384x - 120y)

(Remove parenthesis)

⇒ -384x - 120y

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1 year ago