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.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

what's the question?

step-by-step explanation:

there is no question.