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2 years ago

HELP ME FAST PLZ ❗️.

Mathematics

1 answer:

vfiekz [6]2 years ago

7 0

Answer:

Step-by-step explanation:

You use law of sines, and get: AB/sin(53) = 7/sin(44)

You multiply both sides by sin(53), and get:

AB = 7*sin(53)/sin(44)

That means AB is 8.04776679886, which rounds to 8

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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

Qual a altura máxima atingida por um projétil cuja trajetória pode ser descrita pela função: h(x) = –4x² + 5, sabendo que h é a

masya89 [10]

Answer:

A altura máxima é 5

Step-by-step explanation:

Matematicamente, a altura máxima pode ser obtida

A altura máxima é simplesmente o vértice da parábola

Começamos diferenciando a função Isso será -8x

Agora, defina -8x como 0

Isso significa que x = 0

Agora, substitua x = 0 de volta na equação temos

f (0) = -4 (0) ^ 2 + 5

f (0) = 5

A altura máxima é 5

6 0

2 years ago

Consider the decimal 0.101001000100001000.... do you think this decimal represents a rational number?why or why not

Katarina [22]

The decimal is irrational because it is not repeating.

4 0

2 years ago

If h(x) = -5x -10 find (h-2)

gizmo_the_mogwai [7]

H(x) = -5x - 10
h(-2) = -5(-2) - 10
h(-2) = 10 - 10
h(-2) = 0

8 0

2 years ago

Help with algebra problem

dem82 [27]

Answer:

Yes

Step-by-step explanation:

To find the answer, you just have to plug the (x,y) values into the equation to see if it is true.

3(1) > 5(-6) -12

3 > -30 -12

3 > -42

Since 3 > -42 the ordered pair is a solution to the inequality

3 0

2 years ago