Find the area A of polygon ABCDEFG with the given vertices. A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

Answers

Answer 1
Answer:

The area A of polygon ABCDEFG with the given vertices is 10 square units

How to find the area A of polygon ABCDEFG with the given vertices?

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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What 13 out of 20 in a precent

Answers

To solve this, you'll have to divide 13 and 20.
You should get, 0.65. So, the answer is 65%
13/20* (100/100)
= (13/20* 100)/ 100
= 65/100
= 65%

The final answer is 65%.

What is the value of a2 + 3b ÷ c - 2d when a = 3, b = 8, c = 2, and d = 5a. 8
b. 12
c. 10
d. 11

Answers

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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a^2 + 3b/c - 2dApply the given values in the expression...=>3 × 3 + 3 × 8 /2 - 2 × 5=>9 + 3 × 4 -10=>9 + 12 -10=>21-10=>11...So the answer is option D (11)...Hope it helps!!!

67m7cm=cm. Find the equivalent measures

Answers

Since 1m = 100cm, then 67m = 6700cm + 7 cm = 6707cm.

Please help me thank u

Answers

simplify inside the ( )'s first, reducing the 6 with the 3 leaving a 2 in the numerator, and reducing the x³ with the x^4, leaving an x in the denominator:
(2/x)²

square both numerator an denominator:

4/x²  check this one not sure just what I know though...tell me if it helps

A Pairs socks that normally sells for eight dollars is on sale for 15% off find the sale price of the socks then find the total cost of the jeans if the sales tax rate is 8%

Answers

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

Complete the equations of the system in slope-intercept form. Use a decimal for the slope if necessary.Line 1
x y
0 3
1 5

Line 2
x y
–1 1
–2 –1

Answers

y=2x+3

y=-2x+3