Answer: the third option is the correct answer
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is 16√3
With m∠30 as the reference angle,
the adjacent side of the right angle triangle is x.
the opposite side of the right angle triangle is y.
To determine x, we would apply
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = x/16√3
√3/2 = x/16√3
x = √3/2 × 16√3 = 3 × 8
x = 24
To determine y, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = y/16√3
1/2 = y/16√3
y = 16√3 × 1/2
y = 8√3
Answer:
Heart: 1 in 4 chance
Ace: 1 in 13 chance
Step-by-step explanation:
First we'll start with the probability of picking a heart.
There are four different suits in the deck: spades, clubs, diamonds, and hearts. Therefore, since hearts is one of the four there is a 1 in 4 chance he will pick hearts.
For the ace, we have to consider how many cards are in the deck and how many of them are aces. There are 52 cards in a standard playing card deck and 4 of them are aces. Therefore, since 4/52 = 2/36 = 13, there is a 1 in 13 chance that he will pick an ace.
Hope that helps!
Chandowd
You have to solve in this way (photo)
n = 1936 ft
Answer:
Step-by-step explanation:
b and p are the number of books and pens, respectively.
“books for 3 dollars each and pens for 4 dollars each. total cost was 60 dollars“
3b + 4p = 60
“he ended up with double the number of books than pens”
b = 2p
3(2p) + 4p = 60
10p = 60
p = 6
b = 2p = 12