Triangle area formula: base*height/2
so, 14*10/2 = 7*10 = 70 sq. in.
Answer:
The ratio of AC/CB=1/3
Step-by-step explanation:
We use the section formula:

We substitute the point A(-1.5,0) and B(4.5,8).
We plug in the points to get:

This is supposed to be equal to: (0,2).

We can equate, corresponding coordinates to find m and n.

This implies that:




Therefore the ratio is m:n=1:3
Isolate the variable by dividing each side by factors that don’t contain variable.
Answer: x = -2
Hope this helps!
Have a great day!
Answer:
The probability of getting two of the same color is 61/121 or about 50.41%.
Step-by-step explanation:
The bag is filled with five blue marbles and six red marbles.
And we want to find the probability of getting two of the same color.
If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.
In other words, we can find the independent probability of each case and add the probabilities together*.
The probability of getting a red marble first is:

Since the marble is replaced, the probability of getting another red is: 
The probability of getting a blue marble first is:

And the probability of getting another blue is:

So, the probability of getting two of the same color is:

*Note:
We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.
Answer:

Step-by-step explanation:
Area of the shaded region = area of the large rectangular - area of the small rectangle
Area of rectangle is given as l*w
Area of the large rectangle = 
Expand


Area of large rectangle 
Area of small rectangle = 


Area of small rectangle = 
Area of shaded region = 

Collect like terms

