The area A of polygon ABCDEFG with the given vertices is 10 square units
The vertices are given as
A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)
The area of the polygon is calculated using
Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|
So, we have
Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|
Evaluate the sum of products
So, we have
Area = 1/2 * |-20|
Remove the absolute bracket
So, we have
Area = 1/2 * 20
Evaluate the products
So, we have
Area = 10
Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units
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b. 12
c. 10
d. 11
The formula works out to D. 11
We are given the values of the variables so we can rewrite the formula as:
= a2 + 3b ÷ c - 2d
= 3² + (3 × 8) ÷ 2 - (2 × 5)
= 9 + 24 ÷ 2 - 10
At this point, PEMDAS then kicks in where division will be done before subtraction and addition. Then the first operation between addition and subtraction will be done:
= 9 + 24 ÷ 2 - 10
= 9 + 12 - 10
= 21 - 10
= 11
In conclusion, the value of the above formula comes out to 11.
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Answer:
Step-by-step explanation:
The original selling price of the pair of socks is $8. The pair of socks is on sale for 15%. The new selling price of the pair of socks would be the original price - 15% off the original price. It becomes
8 - (15/100 × 8) = 8 - 0.15×8 = 8 - 1.2 = $6.8
if the sales tax rate is 8%, it means that the total cost of the socks would be the new selling price + 8% of the new selling price. It becomes
Total cost of the pair of socks
= 6.8 + (8/100×6.8) = 6.8 + 0.08×6.8 = 6.8 + 0.544 = $7.344
x y
0 3
1 5
Line 2
x y
–1 1
–2 –1