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3 years ago

34, 57, 58, 56, 21. Which measure of center best represents the data? Explain why you chose that measure of center.

Mathematics

1 answer:

sveticcg [70]3 years ago

6 0

Answer:

Median

Step-by-step explanation:

The measure of center that best represents the data is median because the data is ordinal, that is it is in ranks. The first is 21, the second is 34, third is 56, fourth is 57 and fifth is 58.

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What angle relationship best describes angles AFC and DFB? WILL GIVE BRAINLIEST

Ivan

Answer:

vertical angles

Step-by-step explanation:

they are vertical angles because they are vertically opposite each other and they are equal

4 0

3 years ago

Read 2 more answers

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

two models are shown. Each model has been shaded grey to represent a fraction. wgucj statement is true about the fractions 3/4 a

jeka57 [31]

Answer:

The third, they are equivalent because the size of the shaded area is the same.

8 0

3 years ago

HELP!! what is the value of w? A.40 B.52.5 C.75 D.100

Inga [223]

The angles w and 80 are inscribed angles in the top left and bottom right corners respectively. They are opposite angles in this inscribed quadrilateral. Because they are opposite angles in the inscribed quadrilateral, they add to 180 degrees.

w+80 = 180
w+80-80 = 180-80
w = 100

Answer: Choice D

6 0

3 years ago

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Help I don’t understand

OverLord2011 [107]

Rotation about a point does not change any dimensions. C'D' = CD = 2.8 units.

8 0

4 years ago