Answer:
x=15√2 y=90 degrees.
Step-by-step explanation:
Thanks to the Pythagorean Theorem we know that with any right triangle, A^2+B^2=C^2. In this case we can use 15^2+15^2=sqrt of 450. The square root of 450 is 15 times the square root of 2. Thus x=15√2. Now we need to find y. All angles in a triangle add up to 180 so if we have 45+45+y=180 then y=90.
Answer:
x={-13,-2}
Step-by-step explanation:
(x+13)(x+2)=0
x+13=0
x=-13
x+2=0
x=-2
x={-13,-2}
Answer:
D) -10 and -11
Step-by-step explanation:
Answer:
0.29
Step-by-step explanation:
We are given that there are 4 couples i.e. 8 people
They decide to play as teams of two and to select the teams randomly
Now we are asked How likely is it that every person will be teamed with someone other than the person he or she came to the party with
For people 1 , there are 6 options for pairing Since he or she cannot pair with his /her own partner
So, Choices For people 1 will be 6 person
So, Probability that person 1 will be teamed with someone other than the person he or she came to the party with = ![\frac{\text{No. of choices for Person 1}}{\text{Total no. of choices available}}=\frac{6}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BNo.%20of%20choices%20for%20Person%201%7D%7D%7B%5Ctext%7BTotal%20no.%20of%20choices%20available%7D%7D%3D%5Cfrac%7B6%7D%7B7%7D)
So, Probability that every person (=8 person) will be teamed with someone other than the person he or she came to the party with =![(\frac{6}{7})^8=0.29](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B7%7D%29%5E8%3D0.29)
Hence Probability that every person will be teamed with someone other than the person he or she came to the party with is 0.29