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3 years ago

PLEASE HELP with this!!

Mathematics

1 answer:

nirvana33 [79]3 years ago

3 0

The answer is 35 7/8. We know that to get the mean, you must add up all the numbers and divide by the amount of numbers. Set up the equation (36 3/4 +36 3/8+37 1/2+n)/4 = 36 5/8. After you solve for n, the missing number, you should get 35 7/8.

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Go step by step to reduce the radical.<br> √216

iris [78.8K]

Answer: 6√6

Step-by-step explanation:

√216=

√(36*6)=6√6

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2 years ago

Determine the equation of the line. (slope intercept form)

Taya2010 [7]

Answer:

y=x-4

Step-by-step explanation:

y=mx+b

m : slope : 1

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3 years ago

find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)

frutty [35]

Answer:

cosФ = $\frac{1}{\sqrt{65}}$ , sinФ = $-\frac{8}{\sqrt{65}}$ , tanФ = -8, secФ = $\sqrt{65}$ , cscФ = $-\frac{\sqrt{65}}{8}$ , cotФ = $-\frac{1}{8}$

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

cosФ = $\frac{x}{r}$
sinФ = $\frac{y}{r}$
tanФ = $\frac{y}{x}$
secФ = $\frac{r}{x}$
cscФ = $\frac{r}{y}$
cotФ = $\frac{x}{y}$

Where r = $\sqrt{x^{2}+y^{2} }$ (the length of the terminal side from the origin to point (x, y)

You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = $\sqrt{x^{2}+y^{2} }$

∵ x = 1 and y = -8

∴ r = $\sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}$

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = $\frac{x}{r}$

∴ cosФ = $\frac{1}{\sqrt{65}}$

∵ sinФ = $\frac{y}{r}$

∴ sinФ = $-\frac{8}{\sqrt{65}}$

∵ tanФ = $\frac{y}{x}$

∴ tanФ = $-\frac{8}{1}$ = -8

∵ secФ = $\frac{r}{x}$

∴ secФ = $\frac{\sqrt{65}}{1}$ = $\sqrt{65}$

∵ cscФ = $\frac{r}{y}$

∴ cscФ = $-\frac{\sqrt{65}}{8}$

∵ cotФ = $\frac{x}{y}$

∴ cotФ = $-\frac{1}{8}$

8 0

3 years ago

In the table below, y varies inversely as x. What is the missing value?

Minchanka [31]

Answer:

<h2>The value of y is <u>0.5</u>, so the answer is <u>C</u>.</h2>

Step-by-step explanation:

Find first the constant of variation.

Given: x = 3, y = 4

Find: k = ?

Formula:

$y = \frac{k}{x}$

Solution:

$y = \frac{k}{x} \\ 4 = \frac{k}{3} \\ 12 = k$

Then, find the value of y in the third box.

Given: x = 24, k = 12

Find: y = ?

Formula:

$y = \frac{k}{x}$

Solution:

$y = \frac{k}{x} \\ y = \frac{12}{24} \\ y = \frac{1}{2} \\\boxed{y = 0.5}$

6 0

2 years ago

URGENT!! 25 points. help on C please. this assignment is already late

andrew-mc [135]

Answer:

$7+(11-4\times 2)=10$

Step-by-step explanation:

So, this question involves you to play around with the numbers and the operations a bit. I've come up with a solution, but perhaps there are others as well.

So, we have:

$7\text{ } 11\text{ } 4\text{ } 2\text{ } =\text{ } 10$