If theta is the smallest angle in a right triangle with side lengths of 3,4, and 5 units, then what does sin(theta) equal? 3/4 3/5 4/5 5/3

Step-by-step explanation:

Givens

From this information, we can deduct that the hypothenuse is 5 units long, and legs are 3 and 4 units long.

So, if theta is the smallest angle, then

Because this relation gives the following angle

Which is the smallest angle, because the other one is

Therefore, the right answer the second choice.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

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step-by-step explanation: