Answer:
x = 2√5
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
You can identify that x is the hypotenuse, as it is opposite to the right angle.
So:
3² + √11² = x²
9 + [(√11) (√11)] = x²
9 + 11 = x²
20 = x²
√20 = √x²
√4√5 = x
2√5 = x
x = 2√5
Answer:
B: quadrant 3
D: 5sqrt2
Step-by-step explanation:
Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.
Step-by-step explanation:
The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that
P is directly proportional to S
Introducing a constant of proportionality, k, it becomes
P = kS
A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that
750 = k × 37
k = 750/37 = 20.27
The expression becomes
P = 20.27S
Therefore, the output for a wind speed of 40 miles per hour would be
P = 20.27 × 40
P = 810.8
3/2x + 1/5 >= -1
3/2x >= - 6/5
x >= -12/15
x >= -4/5
-1/2x - 7/3 >= 5
-1/2x >= 22/3
x <= -44/3
Its D
Answer:
Choice 2.
Step-by-step explanation:
Multiply every number by two to get to the next points. This new triangle cannot be congruent to the first one because congruent means it is exactly the same. The new triangle is similar because its measurements are different.
Hope this helps!
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-Josh