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Studentka2010 [4]
3 years ago
10

Find the area of the hexagen whose Vertices taken in order

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer:

Step-by-step explanation:

A(5,0),B(4,2), C(1,3),D(-2,2),E(-3,-1),F(0-4)

we divide the hexagon in triangles and trapeziums

area Δ BCD (with coordinates B(4,2),C(1,3),D(-2,2)) =1/2(2+4)×2=6

area Δ DEG (with coordinates D(-2,2),E(-3,-1),G(-2.-2))=1/2(2+2)×2=4

area ΔAOF(with coordinates A(5,0),O(0,0),F(0,-4))=1/2×5×4=10

area trapezium ABDH (with coordinates A(5,0),B(4,2),D(-2,2),H(-2,0))=1/2[(2+5)+(2+4)]×2=13

area trapezium OHGF (with coordinates O(0,0),H(-2,0),G(-2,-2),F(0,-4))=1/2[4+2]×2=6

Total area=6+4+10+13+6=39 sq units.

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4.36 Stats final scores. Each year about 1500 students take the introductory statistics course at a large university. This year
velikii [3]

Answer:

The distribution of scores on this final exam is left-skewed.

Step-by-step explanation:

We use the Pearson Mode Skewness to solve this question. It states that:

If the median is higher than the mean, the distribution is left-skewed.

If the median is lower than the mean, the distribution is right-skewed.

If the median is the same as the mean, the distribution is symmetric.

In this problem, we have that:

Median = 74

Mean = 70

Median higher than the mean

So the distribution of scores on this final exam is left-skewed.

3 0
3 years ago
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Write the equations for the graphs below (worth 5 points) ​
serg [7]
Answers:

10) y= 1/2x - 2
11) y= 2x + 3
12) y= 2/3x - 4

I found this by using y=mx+ b
3 0
2 years ago
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Jeff saw 7 identical
Shkiper50 [21]

Answer:

$45

Step-by-step explanation:

5 0
2 years ago
A U.S. dime has a thickness of 1 7/20 millimeters. Gary has a stack of dimes 78 3/10 millimeters tall. How many dimes does he ha
Dahasolnce [82]

Answer:

58 number of dimes.

A. $5.8

B. 131.602 grams.

Step-by-step explanation:

A U.S. dime has a thickness of 1\frac{7}{20} = 1.35 mm.

Now, Gary has a stack of dimes that is 78\frac{3}{10} = 78.3 mm in height.

Therefore, Gary has \frac{78.3}{1.35} = 58 dimes in total.

A. Now, each dime is equivalent to $0.1.

Therefore, the total value of the dimes that Gary has is $(0.1 × 58) = $5.8.

B. If each dime weighs 2.269 grams, then the mass of the entire stack of dimes will be (2.269 × 58) = 131.602 grams. (Answer)

8 0
3 years ago
What is the solution to 3(–3x + 9) = −18?
Rus_ich [418]

Answer:

x = 5 (If solved algebraically)

No Solution (If the parentheses are absolute value lines)

Step-by-step explanation:

Result when solving this way: 3|-3x + 9| = -18

1) Divide both sides by 3
|-3x + 9| = -18/3

2) Simplify 18/3 to 6

|-3x + 9| = -6

3)  Break down the problem into these 2 equations.

-3x + 9 = -6

- (-3x + 9) = -6

4) Solve the 1st equation: -3x + 9 = -6

- Subtract 1 from both sides.

-3x = -6 - 9

-Simplify -6 - 9 to -15.

-3x = -15

-Divide both sides by -3.

x = -15/-3

- Two negatives make a positive.

x = 15/3

- Simplify 15/3 to 5.

x = 5

6)  Solve the 2nd equation:  - (-3x+ 9) = -6

1 - Remove parentheses

3x - 9 = -6

2 - Add 9 to both sides

3x = -6 + 9

3 - Simplify -6 + 9 to 3.

3x = 3

- Divide both sides by 3.

x = 1

6) Collect all solutions.

x = 1,5

7) Check solution.

When x = 1, the original equation 3|-3x + 9| = -18 does not hold true.

We will drop x = 1 from the solution set.

8) Check solution.

When x = 5, the original equation 3|-3x + 9| = -18  does not hold true.

We will drop x = 5 from the solution set.

9) Therefore,

No solution exists.

Result when solving algebraically:

Simplifying

3(-3x + 9) = -18

Reorder the terms:

3(9 + -3x) = -18

(9 * 3 + -3x * 3) = -18

(27 + -9x) = -18

Solving

27 + -9x = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-27' to each side of the equation.

27 + -27 + -9x = -18 + -27

Combine like terms: 27 + -27 = 0

0 + -9x = -18 + -27

-9x = -18 + -27

Combine like terms: -18 + -27 = -45

-9x = -45

Divide each side by '-9'.

x = 5

Simplifying

x = 5

5 0
1 year ago
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