R represents radius or the distance between two points, the pythagorean expression will be
r² = Δx² + Δy²
Δ means the change, Δx means the change of x, Δy means the change of y
Given:
(x₁,y₁) = (-5,-1)
(x₂,y₂) = (0,2)
Input the numbers to the expression
r² = Δx² + Δy²
r² = (x₂ - x₁)² + (y₂ - y₁)²
r² = (0 + 5)² + (2 + 1)²
r² = 5² + 3²
r² = 25 + 9
r² = 34
r = √34
The distance is √34 unit length
The answer would be 17/18 in lowest terms.
Answer:
15.87% of blue whales eat more than 5,850 pounds of fish
Step-by-step explanation:
Mean = 5000
Standard Deviation = 850
We need to find P(x>5850) = ?
We can find using z-score
z = x - mean/ standard deviation
z = 5850 - 5000/850
z = 850/850
z = 1
Now, P(x>5850) = P(z>1)
Finding value of P(z>1) by looking at the z-score table
P(z>1) = 0.8413
The normal distribution gives area to the left , so subtracting it from 1 to gain the answer
1-0.8413 = 0.1587
Now, to find percentage multiply it with 100
0.1587 * 100 = 15.87 %
15.87% of blue whales eat more than 5,850 pounds of fish
49.5 mph
I hope it’s helped.
Your answer is A: 15 inches by 15√3 inches.
We can use trigonometry to solve this. If we draw out one of the triangles we can label the 30 inch side as the hypotenuse, and then the other sides as the opposite and adjacent. Then we just have to find the lengths of these.
To find the opposite, we use the trigonometric ratio sinθ = opposite ÷ hypotenuse, and thus the opposite is sin(60) × 30 = 15√3
Automatically now we know the answer is A because that is the only option with 15√3 as a side, but you could also solve using cosθ = adjacent ÷ hypotenuse and get the other side.
I hope this helps!
