Answer:
1: 216 selections
2: 120 selections
Step-by-step explanation:
1:
we have 6 different colors and we can choose the same color repeatedly, so for each of the 3 dogs, we have 6 possibilities, so the number of combinations is 6*6*6 = 216 selections.
2:
we have 6 different colors and we can't repeat a color, so the first collar has 6 possibilities, the second has 5 possibilities (one color was already chosen), and the third collar has 4 possibilities (two already chosen), so the number of selections is 6*5*4 = 120.
Given:
Right triangle
To find:
The six trigonometric functions of θ
Solution:
Hypotenuse = 18
Adjacent side to θ = 10
Opposite side to θ = ?
Using Pythagoras theorem:
Subtract 100 from both sides.
Taking square root on both sides.
Using trigonometric ratio formula:
Answer:
Step-by-step explanation:
ok the first box is linear
the 2nd isnt
the 3rd isnt either
the fourth is
not sure about 5th but im sure it isnt
Answer:
x = -5/2 + i√19 and x = -5/2 - i√19
Step-by-step explanation:
Next time, please share the possible answer choices.
Here we can actually find the roots, using the quadratic formula or some other approach.
a = 1, b = 5 and c = 11. Then the discriminant is b^2-4ac, or 5^2-4(1)(11). Since the discriminant is negative, the roots are complex. The discriminant value is 25-44, or -19.
Thus, the roots of the given poly are:
-5 plus or minus i√19
x = -----------------------------------
2(1)
or x = -5/2 + i√19 and x = -5/2 - i√19
