What two numbers add up to -22 and multiply to -75

Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?

Jobisdone [24]

Answer:

The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = $\frac{- 3}{5}$

- sin Ф = $\frac{- 3}{5}$

So, sin Ф = $\frac{ 3}{5}$

Now, as sin Ф = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

So , $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$ = $\frac{ 3}{5}$

So, perpendicular = 3

And hypotenuse = 5

Now,<u> From Pythagoras Theorem</u>

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴ Base = $\sqrt{16}$

I.e Base = 4

Now, Cos Ф = $\dfrac{\textrm base}{\textrm hypotenuse}$

So, Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Now , Since

Cos ( - Ф ) = Cos Ф

So, Cos ( - Ф ) = Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Hence The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ . Answer

6 0

3 years ago

A volleyball reaches its maximum of 13 feet, 3 seconds after it is served. What quadratic formula could model the height of the

Katena32 [7]

Answer:

$H=-(t-3)^2+13$

Step-by-step explanation:

The path covered by the volleyball will be a downward parabola with the vertex being the highest point of the ball.

A general form of a downward parabola is given as:

$y=-a(x-h)^2+k$

Where $(h,k)$ is the vertex of the parabola and 'a' is a constant.

Now, let 'h' be the vertical height and 't' be the time taken.

So, the equation would be of the form:

$H=-a(t-h)^2+k$

Now, as per question:

h = 2 seconds, k = 13 feet.

$H=-a(t-3)^2+13$

Now, taking a = 1. So, the formula that can be used is:

$H=-(t-3)^2+13$

7 0

3 years ago

Rachel earned $85.25 for working 6 1 4 hours. How much does Rachel earn per hour?

GaryK [48]

Answer:

Rachel earns per hour is $ 13.64 .

Step-by-step explanation:

As given

Rachel earned $85.25 for working $6 \frac{1}{4}$ hours.

i.e

Rachel earned $85.25 for working $\frac{25}{4}$ hours.

Now calculate earning of Rachel for 1 hour .

$Rachel\ earning\ for\ one\ hour = \frac{Total\ earning}{Total\ time}$

$Rachel\ earning\ for\ one\ hour = \frac{85.25}{\frac{25}{4}}$

$Rachel\ earning\ for\ one\ hour = \frac{85.25\times 4}{25}$

$Rachel\ earning\ for\ one\ hour = \frac{341}{25}$

$Rachel\ earning\ for\ one\ hour = \$ 13.64$

Therefore Rachel earns per hour is $ 13.64 .

7 0

3 years ago

Read 2 more answers

What is the completely factored for of x^2-16xy+64y^2

Elden [556K]

Answer:

(x-8y)^2

Step-by-step explanation:

I used a calculator

4 0

3 years ago

Read 2 more answers

Based on the graph below, which point is a solution?

Butoxors [25]

Answer:

A.(5,1) to

Step-by-step explanation:

because the y axis is on a 5 and the x axis doesn't have a question ❓⁉️ so you have (A) to be your answer

4 0

3 years ago