Answer:
m,n,p
Step-by-step explanation:
Answer:
5400 mi²
Step-by-step explanation:
The area is half the absolute value of the sum of the determinants of the points taken pairwise in some consistent order around the polygon. For a triangle, this sum of determinants can also be written as the determinant of a 3×3 matrix of the coordinates with the third column being 1.
... Area = (1/2)|D|
where D = ...

Then the area is (in grid squares) ...
... Area = (1/2)|27| = 13.5 . . . . grid squares
Each grid square is (20 mi)² = 400 mi², so 13.5 grid squares is ...
... 13.5 × 400 mi² = 5400 mi²
Answer: x = 12
midsegment is 16 units long
bottom side is 32 units long
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Work Shown:
The midsegment 2x-8 is parallel to the bottom side 2x+8
The bottom side is twice as long compared to the midsegment (since the midsegment is half the length of the bottom side).
We can say
bottom side = 2*(midsegment)
2x+8 = 2*(2x-8)
2x+8 = 4x-16
2x-4x = -16-8
-2x = -24
x = -24/(-2)
x = 12
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Extra info:
Now that we know x, we can find the length of those segments
midsegment = 2x-8 = 2*12-8 = 24-8 = 16
bottom side = 2x+8 = 2*12+8 = 24+8 = 32
Note the bottom side (32) is exactly twice as long compared to the midsegment (16). This confirms we have the correct x value.
Answer:
1436.76
Step-by-step explanation:
- use the formula 4piR^3 to solve
3/10 n-3 1/5=-1 1/5
convert mixed numbers to a improper fractions:3 1/5=16/5

convert mixed numbers to a improper fractions:1 1/5=6/5

add 16/5 to both sides

simplify
3/10 n=2
multiply both sides by 10

simplify
3n=20
divide both sides by 3

simplify

Hope this helps