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3 years ago

Given sinx=-3/5 and x is in quadrant 3, what is the value of tan x/2?

Mathematics

2 answers:

Liula [17]3 years ago

8 0

Solution is attached. İf right I'm happy

bezimeni [28]3 years ago

4 0

Answer:

-3

Step-by-step explanation:

In the attached image we can see the tan(x/2) relation with sine and cosine

tan(x/2)=sinx/(1+cosx)

sinx=-3/5

and from the triangle we can see that the cosine is equal to -4/5 (this triangle is also called a notable triangle of sides 3,4,5 in lenght)

tan(x/2)=(-3/5)/(1-4/5)

tan(x/2)=-3

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The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1996 1996 his card w

Katena32 [7]

Answer:

Part 1) The equation is $y=1.92x+8.76$

Part 2) The value of the card in 2006 was $\$27.96$

Step-by-step explanation:

Part 1) Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation

Let

x -----> the number of years since 1996

y ----> the value of the card

we know that

The linear equation in slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

we have that

1) The value of the card has increased by $ 1.92 each year since 1996

The unit rate or slope of the linear equation is $m=1.92\frac{\$}{year}$

2) When he retired in 1996 his card was worth $ 8.76

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the value of the card when the year is 1996 (the number of years is zero)

The y-intercept is the point (0,8.76)

$b=\$8.76$

substitute the values in the linear equation

$y=1.92x+8.76$

This relation is not proportional, because the linear equation not passes trough the origin

Part 2) What was the value of the card in 2006?

Determine the number of years since 1996

x=2006-1996=10 years

substitute the value of x in the equation and solve for y

$y=1.92(10)+8.76$

$y=\$27.96$

6 0

3 years ago

The graph shows the number of laps that Jan runs as her coach times her.

fenix001 [56]

Four laps every two minutes. look down from the slope. thats tje tome or minutes and if you look to the left thats how many laps.

5 0

3 years ago

Reposted this Bc idk if ppl saw it

Anna007 [38]

Answer:

Hey there!

4 2/3 can be written as 14/3

The ones that represent a rational number are the fourth and fifth options.

Let me know if this helps :)

6 0

3 years ago

Bring 8/(a-x) to a denominator of x-a

ioda

Answer:

$-\frac{8}{x-a}$

Step-by-step explanation:

$\frac{8}{a-x}$

we can take common factor of -1 in the denominator

$\frac{8}{-(-a+x)}=\frac{8}{-(x-a)}$

and now multiply and divide by -1

$\frac{8}{-(x-a)}\cdot \frac{-1}{-1}=\frac{-8}{x-a}=-\frac{8}{x-a}$

8 0

3 years ago

3v2 - 4v-7<br> what is the answer

TiliK225 [7]

Answer:

5-4v

Step-by-step explanation:

8 0

4 years ago