Hello!
The length of side BC can be found by using the Law of Sines. This law states,
a / sin A = b / sin B = c / sin C.
Given:
Angle A = 51.2 degrees
Angle B = 60.3 degrees
Side AC (or B) = 21 cm
Side BC (or A) = ? cm
Let's plug in these values into the formula to find the missing side length.
a / sin (51.2) = 21 / sin (60.3)
a / sin (51.2) = 24.1759... (multiply both sides by sin(51.2)
a = 24.1759 · sin (51.2)
a = 18.841...
18.841 can be rounded to 19.
Therefore, the length of side BC is equal to 19 centimeters.
<h2>The chances of receiving two greens are 5/31.</h2>
<em>Given a bag containing four blue, three red, and five green marbles, the total result is:</em>
<em>Total number of balls = 4 + 3 + 5 = 12</em>
<em>If green is chosen first, the chances of picking a green are 5/12.</em>
<em>The probability that the second stone is green is 4/11 if it is picked and not replaced (4 greens remaining)</em>
<em>The chance of earning two greens is 5/12 4/11.</em>
<em>The chance of getting two greens is 20/132.</em>
<em>The chance of earning two greens is 5/31.</em>
<h3>
<em>As a result, the chance of getting two greens is 5/31.</em></h3>
Answer:
- The function is injective but nor surjective
Step-by-step explanation:
<u>We see that:</u>
<u>For any x₁ and x₂ ∈ N, </u>
- f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers
It it confirmed one-to-one, hence it is injective
<u>Check the surjectivity:</u>
f(x) = y ∈ N
<u>Let y = 2, then:</u>
Since x is not natural, the function is not surjective
Answer:
y= -9
Step-by-step explanation:
y+6=-3
subtract 6 from both sides
y=-9
