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3 years ago

Help please with all shown on here and please show work

Mathematics

2 answers:

galina1969 [7]3 years ago

8 0

1)2 divided by 5 is .4
2)1 divided by 6 is .16
3)3 divided by 8 is .38
4)And the last is 5.5
5).25 is 1/4
I don’t know about the rest lol
9)12.6
10)304.069
A)325.74
12)1.29
13)115.84
14)13.13
15)4.5396
16)12.21
17)0.01503

enot [183]3 years ago

4 0

To multiply decimals pretend there is no decimal for example
.165*74 = 12210; then however many digits (not counting zeros) is after the decimal added together (from both numbers) so 3 so 12.21 is the answer

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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

When salt and water are combined, they form a salt or saline solution. How much ml of water must be added to 150 mL of an 80% sa

Karolina [17]

50%. Might be wrong but all I did was reduce 30% from 80%

3 0

3 years ago

HELP PLEASE!

taurus [48]

Answer:

9 feet

Step-by-step explanation:

4 0

3 years ago

Chris buys copies of Sunday's newspaper for $1.50 each. He plans to sell them for $2.20 each. What is the approximate percent in

Igoryamba

Answer:

47 %

Step-by-step explanation:

from 1.50 to 2.20 there's a 46.67 increase. to the nearest whole number that's 47%

percent increase formula

% increase = 100 x (final - initial) / absolute value of initial

8 0

3 years ago

Find the standard deviation. Round to the nearest tenth. 1, 2, 11, 8, 16, 16,20, 16, 18 OA. 6.5 O B. 6.9 O C. 1.5 ? D. 7.4

NikAS [45]

Answer:

A. 6.5

Step-by-step explanation:

First we find the average $\bar{x}$ of the 9 data:

$\bar{x} =\frac{\sum_{x=1}^{n}x_{i}}{n}$

Where n is the data number, that in this case is 9.

$\bar{x} =\frac{1+ 2+ 11+ 8+ 16+ 16+20+ 16+ 18}{9}=12\\$

The formula of the standard deviation $\sigma$ is:

$\sigma=\sqrt{\frac{\sum_{x=1}^{n}(x_{i}-\bar{x})^{2}}{n}}$

We replace the data and find the value of the standard deviation:

$\sigma=\sqrt{\frac{(1-12)^{2}+(2-12)^{2}+(11-12)^{2}+(8-12)^{2}+(16-12)^{2}+(16-12)^{2}+(20-12)^{2}+(16-12)^{2}+(18-12)^{2}}{9}}$

$\sigma=\sqrt{\frac{(-11)^{2}+(-10)^{2}+(-1)^{2}+(-4)^{2}+(4)^{2}+(4)^{2}+(8)^{2}+(4)^{2}+(6)^{2}}{9}}=6,54$

We approximate the number and the solution is 6,5

6 0

4 years ago