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2 years ago

The number of passengers in the bus double every minute. The bus was full of

Mathematics

2 answers:

VLD [36.1K]2 years ago

6 0

Answer:

7:43 am.

Step-by-step explanation:

it was 1/2 full one minute ago then another 1/2 = 1/4 full 2 minutes ago.

OLEGan [10]2 years ago

4 0

Answer:

7.43

Step-by-step explanation:

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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

2 years ago

1.. A train travels at a speed of 58 km/hr. If it goes from one station to the next in 1.6 hours, how far has it traveled?

wel

Answer:

92.8 km

Step-by-step explanation:

s=d/t

58=d/1.6

58*1.6=d

92.8=d

7 0

2 years ago

Glen needs at least $225 for a new audio system. She he already saved $90. He earns $15 per hour at his part-time job. Write and

Nesterboy [21]

Answer:

90+15x=225

Step-by-step explanation:

90 already saved plus 15 an hour equals 225

3 0

2 years ago

-1 (x-4) in distibutive property

valina [46]

Answer:

-x+4

Step-by-step explanation:

-1(x-4) any expression multipled by 1 remains the same

-(x-4) remove the parenthesis

-x-4

8 0

3 years ago

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1/2(4x+18)=5-(3x-9)

DanielleElmas [232]

X=-2 3/5
------------------------

6 0

2 years ago

Read 2 more answers