I need help with 2. And 4.

In Which Quadrant is this true

34kurt

Given:

$\sin \theta$

$\tan \theta$

To find:

The quadrant in which $\theta$ lie.

Solution:

Quadrant concept:

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II, only $\sin\theta$ and $\csc\theta$ are positive.

In Quadrant III, only $\tan\theta$ and $\cot\theta$ are positive.

In Quadrant IV, only $\cos\theta$ and $\sec\theta$ are positive.

We have,

$\sin \theta$

$\tan \theta$

Here, $\sin\theta$ is negative and $\tan\theta$ is also negative. It is possible, if $\theta$ lies in the Quadrant IV.

Therefore, the correct option is D.

5 0

2 years ago

What is the sum? StartFraction 3 Over x squared minus 9 EndFraction StartFraction 5 Over x 3 EndFraction.

V125BC [204]

The sum of the two fractional number, which consist in the variable <em>x</em> is in the polynomial function,

$f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

<h3>What is the sum of fraction number?</h3>

Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator.

Fraction number are written as,

$\dfrac{a}{b}$

Here (a) is the numerator and (b) is the denominator.

To find the sum of two fraction numbers, cross multiply both the numbers or find the least common factor as denominator.

The first fraction number given in the problem is,

$\dfrac{3}{x^2+9}$

The second fraction number given in the problem is,

$\dfrac{5}{x+3}$

Let the sum of these number is f(x). Thus,

$f(x)=\dfrac{3}{x^2-9}+\dfrac{5}{x+3}\\f(x)=\dfrac{3}{(x+3)(x-3)}+\dfrac{5}{x+3}\\$

Solve it further as,

$f(x)=\dfrac{3+5(x-3)}{(x+3)(x-3)}\\f(x)=\dfrac{3+5x-15}{(x+3)(x-3)}\\f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

Thus, the sum of the two fractional number is,

$f(x)=\dfrac{5x-12}{(x+3)(x-3)}$

Learn more about the fraction number here:

brainly.com/question/78672

6 0

1 year ago

Don’t need an explanation just the answer. Community takes too long lol

Nimfa-mama [501]

SOLUTION

Step 1: Find the area of the wall.

$\begin{gathered} A=l\times b \\ A=42\times25.5 \\ A=1071ft^2 \end{gathered}$

Step 2: Find the cost of wallpaper per square foot

$=\frac{total\text{ cost of wallpaper}}{Area\text{ of the wall}}$ $\begin{gathered} =\frac{771.12}{1071} \\ =0.72\text{ dollars} \end{gathered}$

The correct answer is B: $0.72

3 0

8 months ago

Is 2/5 greater than 0.55

34kurt

No because 2/5 is .40

5 0

2 years ago

Read 2 more answers

Karens aunt has $2400 in her account. If uses the money to make a monthly car payment of $250 how many whole payments can she ma

shusha [124]

Answer:

9 payments

Step-by-step explanation:

You divides 2400 by 250 and get 9.6. It asks how many WHOLE payments she can make, that would give you 9

8 0

2 years ago

Read 2 more answers