4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.
5) B
Area of a triangle = ½ bh.
where b = base &
h = height.
Area of outer shape = (½ x 16 x 12) in^2.
= 96 in^2.
Area of unshaded inner shape = (½ x 3 x 4) in^2.
= 6 in^2.
Area of shaded region = (96 – 6) in^2.
= 90 in^2.
Answer:
stuck on that too
Step-by-step explanation:
I use mathswatch aswell
Y= -6 --> plug this -6 into the y of the 2nd equation
y= 4x+12 --> -6 = 4x+12 --> 4x = -18
x = -18/4 = -9/2 --> now this is the x solution coordinate, and we know that y must equal -6 from the 1st equation, so our solution point is:
(-9/2, -6)
Hope that helped!
Answer:
x=6
Step-by-step explanation:
/AB/=2x+12
/BC/=5x+10
3x+2=5x-10 subtract 2 from both sides
3x=5x-12 subtract 5x from both sides
-2x=-12 divide both sides by -2x
x =6
The rolls of the dice are independent, i.e. the outcome of the second die doesn't depend in any way on the outcome of the first die.
In cases like this, the probability of two events happening one after the other is the multiplication of the probabilities of the two events.
So, the probability of rolling two 6s is the multiplication of the probabilities of rolling a six with the first die, and another six with the second:
Similarly,
Actually, you can see that the probability of rolling any ordered couple is always 1/36, since the probability of rolling any number on both dice is 1/6:
