The answer would be 20/12 or 1 and 2/3 as a mixed number :)
Answer:
x = 26.4
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
Basic trigonomic ratios (θ is the reference angle):
- Sine θ = opposite / hypotenuse
- Cosine θ = adjacent / hypotenuse
- Tangent θ = opposite / adjacent
Given the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:
sin(x) = 4/9
To solve for an angle given the side lengths, we use the inverse functions:
x = sin^-1 (4/9)
x = 26.4
I hope this helps!
Assuming the bases are laid out in a square, then we can use the Pythagorean Theorem to find the distance from home plate to second base.
This distance is exactly the length of the hypotenuse of the right triangle that forms when you split the square along the diagonal. Let this distance be x
Each of the legs are 90 ft, so a = 90 and b = 90. The hypotenuse is c = x for now.
a^2 + b^2 = c^2
90^2 + 90^2 = x^2
8100 + 8100 = x^2
16200 = x^2
x^2 = 16200
sqrt(x^2) = sqrt(16200) ... apply the square root to both sides
x = 127.2792206
x = 127.3 .... round to the nearest tenth (one decimal place)
The final answer is 127.3 feet
Answer:
1/3
Step-by-step explanation:
There are 4 brown M&Ms and 12 M&Ms in total.
Since both 4 and 12 are divisible by 4,
4/12 = 1/3
Answer:
6 mph
Step-by-step explanation:
I divided 3 by 30 to find the miles per minute (.1) multiplied it by 60 minutes and got 6.
or you could just double the 3 because Dariel is running 2x as long as the original length and get the same answer