So this is trig, and when it comes to right (90°) triangles, it's imperative that you know:
SOH-CAH-TOA
Sine (x) = Opposite/Hypotenuse
Cosine (x) = Adjacent/Hypotenuse
Tangent (x) = Opposite/Adjacent
*hypotenuse is always the largest side, and the one opposite the 90° angle in right triangles
therefore we'll use SOH, because the opposite of x (O) and the hypotenuse (H) are given:
Sine (x) = Opposite/Hypotenuse
Sine (x) = 32/58 = 16/29 = 0.552
Sine (x) = 0.552
now we use something called arc-sine, or

it's basically a fancy function of most advanced calculators, so we'll plug it in as:

x = 33.49° --> answer B) is correct
Cos( 6 x ) = 1/2
6 x = 60° ⇒ x 1 = 10°
6 x = 300° ⇒ x 2 = 50°
6 x = 420° ⇒ x 3 = 70°
6 x = 660° ⇒ x 4 = 110°
x 5 = 130°, x 6 = 170°, x 7 = 190° , x 8 = 230°, x 9 = 250°,
x 10 = 290°, x 11 = 310°, x 12 = 350°
Answer: there are 12 solutions on the interval ( 0 , 2π ).
Answer:
<em>5 ≤ 4x - 2.5</em>
Step-by-step explanation:
<u>Inequalities</u>
The expression "no greater than" can be better expressed as "less or equal than".
The expression 4 times a number, being x the unknown number can be written: 4x
Thus, the equivalent inequality of the sentence is:
5 ≤ 4x - 2.5
Answer : Square root of 21 , -4 2/3, -30/7 , -31/6 .
Explanation :
-4 2/3 = -10/3 = -3.3333
Square root of 21 = 4.58258
-31/6 = -5.1666
-30/7 = 4.2857
And arrange them from greatest to least and there we have the answer.
Hope this helps you understand !!!!
Answer:
I have no idea if this would be right but I am guessing (for the 1/5 one) if you put 5 different colored marbles in a container and wanted to pull out a red one. You can also do this for the 1/10 one just use a different object.