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10 months ago

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Which list of fractions is in order from smallest to largest A. 3/4 3/5 3/10 3/12. B. 5/3 3/4 3/12 3/10 C. 3/10 3/5 3/4 3/12. D.

3/12 3/10 3/5 3/4

1 answer:

Pepsi [2]10 months ago

5 0

A. 3/4 = 0.75 3/5 = 0.6 3/10 = 0.3 3/12 = 0.25

Right order

3/12 < 3/10 < 3/5 < 3/4

The right answer is letter D.

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Use the given information to find the exact value of the trigonometric function

eimsori [14]

$\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}$

Half Angle Formula

$\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}$ $\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}$ $\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}$ $\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\ \\ \end{gathered}$

Answer:

$\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}$

Checking:

$\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{ (3rd quadrant)} \end{gathered}$

Also,

$\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}$

The answer is none of the choices

7 0

11 months ago

Question 15 of 25<br>What is the solution to this equation?<br>X + 8 = -3

Naddika [18.5K]

Answer:

x=-11

Step-by-step explanation:

x+8=-3

x=-3-8 :- collect like term

since we are adding two negative numbers, we will let the number be negative but add them.

x=-11

Hope it helps :)

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3 years ago

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Kim solved the equation below by graphing a system of equations. log base 2 (3x-1) = log base 4 (x+8)

kompoz [17]

Answer:

solution is

$x=1.353,y=1.613$

Step-by-step explanation:

We are given equation as

$log_2(3x-1)=log_4(x+8)$

Firstly, we will find equations

First equation is

$y=log_2(3x-1)$

Second equation is

$y=log_4(x+8)$

now, we can draw graph

and then we can find intersection point

we can see that

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so, solution is

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Answer:

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Step-by-step explanation:

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luda_lava [24]

Answer:

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Step-by-step explanation:

your dum anyways u cant even do nothing right u just on brainly to chet cant do school work and that u are going to fail so sad

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3 years ago