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2 years ago

1/3+ 1/8 show your work a with equation

Mathematics

1 answer:

allsm [11]2 years ago

5 0

Answer:

11/24 or 0.453

Step-by-step explanation:

1/3+1/8

1/3×8/8=8/24

1/8×3/3=3/24

8/24+3/24=11/24

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What is the value of x that makes PQ←→||RS←→?

Inessa05 [86]

Answer:

x = 55

Step-by-step explanation:

For PQ and RS to be parallel then

∠ACQ = ∠RDB ( Alternate exterior angles ), thus

3x - 65 = 2x - 10 ( subtract 2x from both sides )

x - 65 = - 10 ( add 65 to both sides )

x = 55

3 0

3 years ago

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

10 months ago

Which polynomial lists the powers in descending order? A. –10 + 4x3 – 4x5 + 2x4 + x7 B. x7 – 4x5 + 2x4 + 4x3 – 10 C. x7 + 4x3 +

Artist 52 [7]

The answer for the exercise shown above is the option B, which is: $x^{7} -4 x^{5} +2 x^{4} +4 x^{3}- 10$
The explanation is shown below:
To list the powers of the polynomial given in the problem above in descending order, you must write the terms from the highest degree to the lowest degree. You have that the highest degree is $7
$ and the lowest degree is $0
$ (Because $-10 x^{0} =-10(1)=-10$ . Therefore, you have that the correct option is the option B.

4 0

2 years ago

5. Does the following table represent a function? Explain.

lys-0071 [83]

Answer:

Yes

Step-by-step explanation:

A function cannot have the same x values but can have the same y values. Because all of the x-values are different, this table represents a function.

If this has helped please mark as brainliest

8 0

3 years ago

Calculate the pay for the following day of a

sineoko [7]

<u>Answer:</u>

$109.38

<u>Step-by-step explanation:</u>

$12.50 x 4 hours = $50

$12.50 x 4 hours and 45 minutes = $59.38

$50 + $59.38 =

$109.38

4 0

2 years ago