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3 years ago

Write z = xy in terms of x.

Mathematics

1 answer:

Luba_88 [7]3 years ago

3 0

Z=xy

dividing both sides with y to isolate x,

z/y=xy/y
z/y=x

x=z/y

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Select the correct answer. What is the definition of csc θ ?

OleMash [197]

Answer:

A. csc θ=1/sinθ

Step-by-step explanation:

From SOHCAHTOA,

sine = opposite/ hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle. This is the inverse of sine , therefore:

Csc Ф = 1/ sinФ

8 0

3 years ago

Homer mowed 5 lawns in his first month and increased the number he mows by two for each month following. Which of the following

ser-zykov [4K]

The equation which represent the interpretation of the scenario is 5 + 2x

<h3>Algebra</h3>

Number of lawns Homer mowed = 5
Additional laws mowed each month = 2
Number of months = x

Total laws mowed = Number of lawns Homer mowed + (Additional laws mowed each month × Number of months)

= 5 + (2 × x)

= 5 + 2x

Learn more about algebra:

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2 years ago

What is the value of x

attashe74 [19]

The value of X in this question is 46

4 0

3 years ago

Read 2 more answers

The function f(x) is graphed below. Determine whether the degree of the function is

Nutka1998 [239]

Even bc it doesn’t go through the origin

7 0

3 years ago

Read 2 more answers

1.) What is the value of cosθ given that (−5, −4) is a point on the terminal side of θ?

jeka57 [31]

Answer:

1) C

2) D

Step-by-step explanation:

We want to find the value of cos(θ) given that (-5, -4) is a point on the terminal side of θ.

This is represented by the diagram below.

Recall that cosine is the ratio of the adjacent side to the hypotenuse.

Find the hypotenuse:

$\displaystlye \begin{aligned} a^2 + b^2 &= c^2 \\ c &= \sqrt{a^2 + b^2} \\ &= \sqrt{(4)^2 + (5)^2} \\ &= \sqrt{41}\end{aligned}$

The adjacent side with respect to θ is -5 and the hypotenuse is √41. Hence:

$\displaystyle \begin{aligned}\cos \theta &= \frac{(-5)}{(\sqrt{41})} \\ \\ &= - \frac{5\sqrt{41}}{41} \end{aligned}$

Our answer is C.

We want to find the value of sin(θ) given that (-6, -8) is a point on the terminal side of θ.

This is represented in the diagram below.

Likewise, find the hypotenuse:

$\displaystyle c = \sqrt{(-6)^2 + (-8)^2} = 10$

Sine is given by the ratio of the opposite side to the hypotenuse.

The opposite side with respect to θ is -8 and the hypotenuse is 10. Hence:

$\displaystyle \begin{aligned}\sin \theta &= \frac{(-8)}{(10)} \\ \\ &= -\frac{4}{5} \end{aligned}$

Our answer is D.

8 0

3 years ago