P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is 
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:

Answer:
<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>
Step-by-step explanation:
The complete problem is attached.
Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

But there are four triangle faces, so
.
Therefore, the area of each triangular face is 66 square inches.
So, the total surface area would be the sum

Therefore, Gabriel needs 408 square inches to paint the whole model.
Answer:
Divide by 2
q^2+4q=3/2
q^2+4q(4/2)^2=3/2+(4/2)^2
(q+4/2)^2=3/2+16/4
taking the square root of both side
√(q+4/2)^2=√(3/2+16/4)
Note that the square will cancel the square root then you will take LCM on the right hand side
q+4/2=√6+16/4
q+4/2=√22/4
q= -4/2+-√22/4
q=(-4+_√22/4)
$13, 666.67
because you would do 820 divided by 0.06 and you get 13,666.6667 which you round to 13,666.67
Answer:
Mean age = 1271.27
Step-by-step explanation:
No of children = 77
The age at which children first began to combine words = 16.51 months
Mean age = No of children × age at which children first began to combine words
= 77 × 16.51
= 1271.27
Mean age = 1271.27