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3 years ago

I need more help please!!!!!!!!

Mathematics

2 answers:

inysia [295]3 years ago

6 0

Answer:

1. t<45° 2. d≥200

Step-by-step explanation:

t is less than 45°

it said no less than meaning you can spend 200 or more to get the discount so that means d≥200

skelet666 [1.2K]3 years ago

3 0

Answer:

1. t<45

2. d>200

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

3 years ago

You drove to your cousin's house, which is 460 miles away. After two hours, you had go e 100 miles. After 8 hours, you reached y

mote1985 [20]

57.5,
X = y times t
57.5 times t

5 0

3 years ago

PolarNik [594]

Question 1:

5z – 9 = 36

5z = 45

z = $\frac{45}{5}$

z = 9

Hence, the answer is D.

Question 2:

5(2z + 4) = 0

10z + 20 = 0

10z = -20

z = $\frac{-20}{10}$

z = -2

Hence, the answer is A.

Question 3:

4a + 3(a + 1) = 24

4a + 3a + 3 = 24

7a = 21

a = $\frac{21}{7}$

a = 3

Hence, the answer is B.

Question 4:

3(4x + 5) = 12

12x + 15 = 12

12x = 12 - 15

12x = -3

x = $\frac{-3}{12} = - \frac{1}{4}$

Hence, the answer is A.

Question 5:

4x – 8 – 4x = 9

-8 ≠ 9

Hence, the answer is A.

8 0

4 years ago

Read 2 more answers

Solve x^2 – 10x = -21

emmasim [6.3K]

Answer:

Step-by-step explanation: x^2-10x+21=0

(x-7)(x-3)

x = 3,7

8 0

3 years ago

The direction of the (slope) vector is? Given: u = Initial point (1,1) , terminal point (4,3)

irakobra [83]

Answer:

2/3

Step-by-step explanation:

Slope = y2 - y1/x2 - x1

Given

x1 = 1

y1 = 1

x2 = 4

y2 = 3

Slope = 3 - 1/4 - 1

= 2/3

8 0

4 years ago