Answer:
16
Step-by-step explanation:
Start by adding 9 to both sides, obtaining: √(x + 9) = 5.
Square both sides, obtaining: x + 9 = 25.
Subtract 9 from both sides: x = 16
Note that √(16+9) - 9 = -4, as required.
The pythagorean theorem states that for any RIGHT-ANGLED TRIANGLE, the relationship between the side lengths are A²+B²=C², where C is the hypotenuse :P
Which means that it can only be applied on right angled triangles~
So your answer would be B, a right-angled triangle.
Ask me if you are unsure about anything <3
Answer:
I wanna say that,
Time to Climb (min) <u>Dependent Variable</u>
Height (ft<u>)</u> <u>Independent Variable</u>
Hope this helps, let me know if I'm wrong.
<u></u>
Answer:
157.08m²
Step-by-step explanation:
Since the area of a circle is A=πr²
The radius is 10, so
A=π10²
A=314.16 (rounded to nearest hundredth)
Half of that is 157.08.
Answer: 0.5507
Step-by-step explanation:
Given : The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable X with a cumulative distribution function
![F(x)= \begin{cases}0,& x](https://tex.z-dn.net/?f=F%28x%29%3D%20%5Cbegin%7Bcases%7D0%2C%26%20x%3C0%20%5C%5C%201-e%5E%7B-4x%7D%2C%20%26%20x%5Cgeq0%5Cend%7Bcases%7D%5Cend%7Bdocument%7D)
Since , the waiting time is in hours , then we can write 12 minutes as
hour i.e.0.2 hour.
Now, the probability of waiting fewer than 12 minutes between successive speeders is given by :-
![P(X](https://tex.z-dn.net/?f=P%28X%3C0.2%29%3D1-e%5E%7B-4%280.2%29%7D%3D1-e%5E%7B-0.8%7D%5C%5C%5C%5C%3D1-%090.449328964117%3D0.550671035883%5Capprox0.5507)
Hence, the required probability = 0.5507