Answer:
sinx = √2/3
Step-by-step explanation:
cos2x = 1-2sin²x
5/9 = 1-2sin²x
2sin²x =1-5/9
2sin²x = 4/9
sin²x = (4/9)/2
sin²x = (4/9)*(1/2)
sin²x = 2/9
sinx = √2/3
Using proportions, it is found that Student 2 is correct, as 37.6/0.1 = 376.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
One tenth is worth 0.1. How many tenths are there in 37.6? The division is given as follows:
37.6/0.1 = 376.
Hence student 2 is correct, as there are 376 tenths in 37.6.
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Answer:
1/2 ; 1/4
Step-by-step explanation:
Number of cards in a deck = 52
Number of red cards = 26
Number of spades = 13
Probability of event A :
P(A) = required outcome / Total possible outcomes
P( red card) = number of red cards / total cards in deck
P(red card) = 26 / 52 = 1/2
P(spade) = number of spades / total cards in deck
P(red card) = 13 / 52 = 1 / 4
Answer:
5 yd
Step-by-step explanation:
Use Pythagorean theorem,
Hypotenuse² = base² + altitude²
= 3² + 4²
= 9 + 16
= 25
Hypotenuse = √25 = √5*5 = 5 yd
No they don't lie on the same line because all coordinate points would be at different distances from the origin. The only way a point could be at the same line as the others would be they would have to have the same x- or y- axis points. (For example: 6,5; 3,5; and 2,5 would all be on the same line, horizontally, because the 5 in all three coordinates refers to the y- axis aka the horizontal axis
