Given
We have to set the restraint
because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:
The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have
So, we have to impose
Squaring both sides, we have
The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.
Answer:
1) No, the sum isn't equal to 180
2) Yes, the sum is equal to 180
3) No, the sum isn't equal to 180
4) Yes, the sides follow the triangle inequality
5) Yes, the sides follow the triangle inequality
6) Yes, it's an equilateral triangle
Answer:
Hi! Your answer will be : 599.37!
Step-by-step explanation:
Odds of coin landing on heads 1 time are 1/2(what can be written as 2^-1)
Odds of coin landing on heads 10 times are (1/2)^10 = 2^-1^10=2^-10
There are 2 triangles that exist within this single triangle. It is an SSA triangle, so it is the case of the ambiguous triangle. Sounds scary. You have to drop an altitude and find out what the height of it is. You can use the sin45 = h/5 to find that the height is 3.5. The rule for this is if the height is smaller than b and b is smaller than c, you have 2 triangles. That is true here, so you have 2 triangles. Solving both of them involves the Law of Sines and the rules of supplementary angles...a whole 'nother type of pain in the butt.
