<span>x = 10 or x = -4. It's one of those 2, there's 2 solutions for what I solved.</span>
Answer:
The Figure for Right triangle is below,
Therefore , 15 unit length represents BC.
Step-by-step explanation:
Given:
Consider a right triangle ABC, Such that
![\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}](https://tex.z-dn.net/?f=%5Ccos%20A%3D%5Cdfrac%7B15%7D%7B17%7D%5C%5C%5C%5C%5Ctan%20A%3D%5Cdfrac%7B8%7D%7B15%7D)
To Find:
BC = ?
Solution:
In Right Angle Triangle ABC, Cosine and Tangent identity
![\cos A = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\](https://tex.z-dn.net/?f=%5Ccos%20A%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20C%7D%7D%7BHypotenuse%7D%5C%5C)
![\tan A= \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}](https://tex.z-dn.net/?f=%5Ctan%20A%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20A%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20A%7D%7D)
BUT,
....Given
On Comparing,
Adjacent side to angle A = AB = 15
Opposite side to angle A = BC = 8
Hypotenuse = AC =17
Also Pythagoras theorem is Satisfies,
![(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}](https://tex.z-dn.net/?f=%28%5Ctextrm%7BHypotenuse%7D%29%5E%7B2%7D%20%3D%20%28%5Ctextrm%7BShorter%20leg%7D%29%5E%7B2%7D%2B%28%5Ctextrm%7BLonger%20leg%7D%29%5E%7B2%7D)
![(\textrm{Hypotenuse})^{2} = 17^{2}=289](https://tex.z-dn.net/?f=%28%5Ctextrm%7BHypotenuse%7D%29%5E%7B2%7D%20%3D%2017%5E%7B2%7D%3D289)
![(\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}=15^{2}+8^{2}=289](https://tex.z-dn.net/?f=%28%5Ctextrm%7BShorter%20leg%7D%29%5E%7B2%7D%2B%28%5Ctextrm%7BLonger%20leg%7D%29%5E%7B2%7D%3D15%5E%7B2%7D%2B8%5E%7B2%7D%3D289)
The Figure for Right triangle is below,
Therefore , 15 unit length represents BC.
They are dependent events because if cara spins it and it lands on her she gets to play with the puppy, But if she misses it and her brother spins and it lands on him he gets to play with the puppy.
Short answer: the event is dependent because the outcome of the first spin effects the brother outcome
Answer:
Both lights flash at 1:00
Step-by-step explanation:
they flash together every 2*7=14 minutes
in 60 minutes there are 4*14=56 minutes
they flash together at 1:56
more minutes brings you to 2:00
they flash together at 2:10 (4+10=14)
that leaves 50 minutes left in the hour
they flash three times which uses up 42 minutes
this brings you to 2:52 (10+42=52)
8 more minutes brings you to 3:00
in 6 more minutes (8+6=14) it will be 3:06 and they will flash together
The best option here is option B.