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2 years ago

Find sin(b) in the triangle. A.4/3 B.3/5 C.3/4 D.4/5

Mathematics

1 answer:

DerKrebs [107]2 years ago

7 0

The value of $\sin \beta$ in the given triangle ABC is $\dfrac{4}{5}$ . Option D is correct.

<h3>What are the trigonometric ratios?</h3>

Trigonometric ratios are the ratio of sides of a right angled triangle. There are 6 types of trigonometric ratios: sin, cos, tan, cosec, sec, and cot.

Sine trigonometric ratio is the ratio of perpendicular (side opposite to the angle) to the hypotenuse.

In the given figure, the side opposite to the angle $\beta$ is AC = 4 and the hypotenuse is AB = 5.

So, the sine ratio will be equal to,

$\sin \beta=\dfrac{4}{5}$

Therefore, the value of $\sin \beta$ in the given triangle ABC is $\dfrac{4}{5}$ . Option D is correct.

Learn more about trigonometric ratios here:

brainly.com/question/1201366

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Whats the answer????

Citrus2011 [14]

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).

so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?

I see for example (0, -6) and (4, -7).

to go from the first to the second point :

x changes by +4 units (from 0 to 4).

y changes by -1 unit (from -6 to -7).

the slope a is therefore -1/4.

and the first point i picked gives us also automatically the y-intercept (-6).

so, the line equation is

y = (-1/4)x - 6

5 0

2 years ago

At 7:00 p.m., there are 1,000 home-team fans and 700 away-team fans at a football game. After 7:00 p.m, 15 home team fans arrive

OleMash [197]

Answer:

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=109:67

Step-by-step explanation:

Initially , total home team fans =1000

and away team fans = 700.

7:00 pm to 8:00 pm = 1 hour = 60 minutes

Given that

Every 10 minutes the number of arrival home team fans is 15.

Then in 1 minutes the number of arrival home team fans is $\frac{15}{10}$

and in 60 minutes the number of arrival home team fans is $\frac{15 \times 60}{10}$

=90

Therefore total home team fans = (90+1000)=1090

Given that

Every 10 minutes 5 fans leave of away team leave.

then in 1 minutes $\frac{5}{10}$ fans leave of away team leave.

and In 60 minutes $\frac{5\times 60}{10}$ =30 fans leave of away team leave.

Since 30 away team fans leave.

Total away team fans = (700-30)=670

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=1090:670

=109:67

4 0

2 years ago

What is the value of f(x) when x = 3?

Bond [772]

I'm not good at math but I think is 3f because you'll be multiplying f(unknown #) by 3 so f(x) would be 3f

6 0

3 years ago

Read 2 more answers

Monique made 7 more videos than ana. how many videos did monique make is ana made 12 videos?

dem82 [27]

Answer:

Monique made 19 videos

Step-by-step explanation:

If Ana made 12 videos, but Monique made 7 videos more, you would use addition to find the answer.

12 + 7 = 19

Therefore, Monique made 19 videos and Ana made 12 videos.

I hope this helps :)

8 0

2 years ago

Find all solutions to the equation sin2x+sinx-2cosx-1=0 in the interval [0, 2pi)

pshichka [43]

The solutions appear to be {π/2, 2π/3, 4π/3}.

_____
Replacing sin(2x) with 2sin(x)cos(x), you have
2sin(x)cos(x) +sin(x) -2cos(x) -1 = 0
sin(x)(2cos(x) +1) -(2cos(x) +1) = 0 . . . . factor by grouping
(sin(x) -1)(2cos(x) +1) = 0

This has solutions
sin(x) = 1
x = π/2
and
2cos(x) = -1
cos(x) = -1/2
x = {2π/3, 4π/3}

6 0

2 years ago