Answer:
width is 7.5
Length is 8
Step-by-step explanation:
because it is
Find a line going through the point
(0, -7/5) and perpendicular to the equation 3x - 2y = 6.
3x - 2y = 6
-2y = -3x + 6
y = (3/2)x - 3
The slope of the equation we seek must be the negative reciprocal of (3/2), which is -2/3.
So, m = -2/3
Use the point-slope formula. See the picture.
Remember
(x^m)(x^n)=x^(m+n)
and difference of 2 perfect squres
(a²-b²)=(a-b)(a+b)
and sum or difference of 2 perfect cubes
so
(x^3)(x^3)(x^3)=x^(3+3+3)=x^9
so
x^9=3*3*x^3
x^9=9x^3
minus 9x^3 both sides
0=x^9-9x^3
factor
0=(x^3)(x^6-9)
factor difference of 2 perfect squraes
0=(x^3)(x^3-3)(x^3+3)
factor differnce or sum of 2 perfect cubes (force 3 into (∛3)³)
0=(x³)(x-∛3)(x²+x∛3+∛9)(x+∛3)(x²-x∛3+∛9)
set each to zero
x³=0
x=0
x-∛3=0
x=∛3
x²+x∛3+∛9=0 has no solution
x+∛3=0
x=-∛3
x²-x∛3+∛9=0 has no solution
so the solutions are
x=-∛3, 0, ∛3
Answer:
D) 0.500
Step-by-step explanation:
Blue Socks = 6
Grey socks = 10
Probabilities to find :
Since there are a total of 16 socks, the probability of both socks being blue is
Probability(blue) = 
The probability of both being grey is
Probability(grey) =
(Note: After 1 sock is picked , next sock drawn would have a different probability as 1 sock is already picked so it would be 1 minus the total socks available of that color)
The probability two socks match:
Probability(blue) + Probability(grey) =
+
=
=
= 0.500
Answer:
Step-by-step explanation:
Sin 58° = 0.848 = BC/13
So
BC = 0.848*13 = 11.024