Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is
where the b's represent the bases and the h represents the height. Filling in our values gives us
Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet
30 Dollars.
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We want to solve the inequalities
x < 2
y ≤ 4x + 1
<span>Graph </span>the lines:
x = 2
y = 4x +1
The solution to the system of inequalities is the shaded region shown in the graph below.
Test the given points to see whether they fall within the solution region.
Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail
Answer: (=3, -15)
Answer:
Step-by-step explanation:
we know that: 1 yard = 3 ft
therefore,
9 yards = 3 * 9 ft = 27 ft
(9 yards 1 foot) - 8 ft
= (27 ft + 1 ft) - 8 ft
=28 ft - 8ft
= 20 ft
2x-y=6
Subtract 2x from both sides
-y=-2x+6
Multiply all terms by -1
y=2x-6
Final answer: B