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2 years ago

If sin theta = -2/3, which of the following are possible for the same value of theta?

1 answer:

5 0

The option that has the same value of theta is; D. sec theta = 3/square root of 5 and tan theta = -2/square root of 5

<h3>How to Calculate Trigonometric Functions?</h3>

We are given that;

sin θ = -²/₃

Thus, from trigonometric ratios we have;;

cos θ = -(√5)/3

Thus;

sec θ = -3/√5

tan θ = -2/√5

Thus, only option D is the correct answer.

Read more about Trigonometric ratios at; brainly.com/question/13276558

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3 years ago

Kamal’s bedroom has an area of 120 ft.². The width of the room is 5/6 the length of the room. What are the dimensions of Kamal’s

Bingel [31]

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4 years ago

COLLEGE ALGEBRA!!!!

Savatey [412]

Answer:

$a.A_t=A_o.(\frac{1}{2})^t^/^{t_h}$

$b. 0.010986grams$

$c.109.84 mins$

Step-by-step explanation:

Let $t_1_/_2$ denote the half life of our substance $t$ to be our time, $A_t$ is mass at time t and $A_o$ as initial mass. Our half life equation can be expressed as:

$A_t=A_o.(\frac{1}{2})^t^/^{t_h}$ from which we can obtained mass at any given time.

b. From our equation above,

we can convert our t into mins as $t=4*60=240mins$

We then substitute $t$ value into the equation

$A_2_4_0=45\times(1/2)^2^4^0^/^2^0\\=0.010986\\=0.010986grams$

Hence mass after 4hrs is $0.010986grams$

c. We can set our final mass to $1g$ then substitute in the equation

$A_t=A_o.(\frac{1}{2})^t^/^{t_h}$ . Substitute $A_t=1g$

$1.0=45\times(1/2)^t^/^20$

$1.0=45\times(1/2)^t^/^2^0\\log(1/45)=(t/20)\times log(1/2)\\t=20\times5.491853=109.84 mins$

Hence time until $1g$ mass is 109.83 minutes

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3 years ago