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3 years ago

What is the answer of t - 12 = 11

Mathematics

1 answer:

OlgaM077 [116]3 years ago

5 0

Answer:

t = 23

Step-by-step explanation:

Bruh.

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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

Jada has d dimes she has more that 30 cents but less than a dollar can d be 10

gavmur [86]

Answer:

Step-by-step explanation:

30 cents < 10 cents/dime × d dimes < 1 dollar × 100 cents/dollar

if d = 10

30 cents < 10 cents/dime × 10 dime < 1 dollar × 100 cents/dollar

30 cents < 10 cents/dime × 10 dime < 1 dollar × 100 cents/dollar

notice how the units bolded all cancel out, just leaving cents

30 cents < 100 cents is NOT < 100 cents

3 0

3 years ago

The distance from B to B' is 6 and the distance from A to B' is 2. What is the scale factor?choice:1/41/343

Mkey [24]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

BB' = 6

B'A = 2

Step 02:

scale factor:

$\frac{BB^{\prime}}{B\text{'A}}{}=\frac{6}{2}=3$

The answer is:

scale factor = 3

3 0

1 year ago

What is the distance between 0,4 and -1,-5

saul85 [17]

Answer:

y = −x + 4

Step-by-step explanation:

5 0

3 years ago

Landon and Keira are preparing refreshments for a party. To make fruit punch, they will mix 2 gallons of grape juice with 1 cup

krek1111 [17]

Convert everything to oz 2 gal= 256 oz 1 cup= 8 oz 256+8+6= 270 oz They will make 270 oz of punch Hope I helped!!! :-)

8 0

3 years ago

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