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3 years ago

In ΔPQR, the measure of ∠R=90°, RQ = 16, PR = 63, and QP = 65. What ratio represents the cosine of ∠Q?

Mathematics

1 answer:

expeople1 [14]3 years ago

7 0

Answer:

Cos Q = 16/65

Step-by-step explanation:

In this question, we have a triangle and we have the information above supplied. We are being tasked with getting the ratio of the cosine.

To do this, we shall be making reference to a diagrammatic representation of the information supplied. Please do check the attachment section for this.

Looking at this triangle, we can see that one of the angles measure 90, what this means is that what we are dealing with is a right-angled triangle.

Now to get the answer in the question, we have to define what is meant by the cosine. The cosine is a trigonometric ratio of the adjacent to the hypotenuse.

In this case, our adjacent is 16 while our hypotenuse is the longest side which is 65.

Hence, Cos Q = 16/65

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Dafna1 [17]

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3 years ago

Questions 1-6 of 6 | Page 1 of 1

LenKa [72]

Answer:

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3 years ago

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3 years ago

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3 years ago

Given the trinomial, what is the value of the coefficient B in the factored form? 2x2 + 4xy − 48y2 = 2(x + By)(x − 4y) −12 12 −6

Sonja [21]

Answer:

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Step-by-step explanation:

We are trying to find a value for $B$ such that:

$2x^2+4xy-48y^2=2(x+By)(x-4y)$ is true for every $x,y$ .

So let's choose $x=0,y=1$ :

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Note: I didn't want to choose y to be 0 because the value of B would disappear from the equation. So you should be able to have chosen any x and y except for y=0 to solve the equation for B.

Check:

So let's check and use foil to multiply out the right hand side.

$(x+6y)(x-4y)$