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2 years ago

Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]

Mathematics

1 answer:

Rasek [7]2 years ago

7 0

The area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners. It has one pair of opposite congruent angles and the diagonals of a kite are perpendicular.

We have a quadrilateral shown in the picture.

The diagonal divides the quadrilateral into two triangles

The area of the quadrilateral = area of the triangle ADC + area of the

triangle ADB

= (1/2)3.42×4.39 + (1/2)5.44×3.42

= 7.5069 + 9.3024

= 16.80 square units

Thus, the area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.

Learn more about the quadrilateral here:

brainly.com/question/6321910

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The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

Softa [21]

Answer:

For Australia: 22,044,350

For China: 1,545,744,200

For Mexico: 145,507,500

For Zaire: 92,237,875

Step-by-step explanation:

For Australia: Population in 2000 is 19,169,000 and it is increasing steadily at a rate of 0.6% per year.

Therefore, the population in the year 2025 will be

$19169000[1+\frac{0.6 \times 25}{100} ]= 22,044,350$ (Answer)

For China: Population in 2000 is 1,261,832,000 and it is increasing steadily at a rate of 0.9% per year.

Therefore, the population in the year 2025 will be

$1261832000[1+\frac{0.9 \times 25}{100} ]= 1,545,744,200$ (Answer)

For Mexico: Population in 2000 is 100,350,000 and it is increasing steadily at a rate of 1.8% per year.

Therefore, the population in the year 2025 will be

$100350000[1+\frac{1.8 \times 25}{100} ]= 145,507,500$ (Answer)

For Zaire: Population in 2000 is 51,965,000 and it is increasing steadily at a rate of 3.1% per year.

Therefore, the population in the year 2025 will be

$51965000[1+\frac{3.1 \times 25}{100} ]= 92,237,875$ (Answer)

5 0

3 years ago

Write an expression in factored form for the polynomial of least possible degree graphed below.

dexar [7]

Answer:

- 1/64 (x+4)² (x-3) (x-4) = 0

Step-by-step explanation:

f(x) = a (x+4)²(x-3)(x-4) ... curve touch (-4,0) and not cross x axis

x=0 f(x) = -3

a (4)² * (-3) * (-4) = -3

a = - 1/64

- 1/64 (x+4)² (x-3) (x-4) = 0

5 0

3 years ago

20 points help w part b

Hatshy [7]

Answer:

8:07 am

Step-by-step explanation:

It takes 9 minutes to walk from his house to the bus station. It then takes 92 minutes for the bus to travel from Birmingham to Coventry. After arriving, he takes 12 minutes to reach his workplace. This takes a total of 113 minutes.

9 + 92 + 12 = 113

Convert 113 minutes to hours and minutes.

113 - 60 = 53

1 hr and 53 min

He has to be at work by 10. Subtract the time it takes to get to his work by the time he has to get there.

10 - 1 hr = 9

9 - 53 min = 8:07

The latest time he can leave is 8:07.

3 0

3 years ago

Jeffrey purchase and download 12 songs on Monday he purchase an additional 3 songs on Tuesday the cost to download each song is

bonufazy [111]

(12x3)+(3x2) Because on Monday he bought 12 songs for $3 each and on Tuesday he bought 2 songs for $3 each.

4 0

3 years ago

there are 15 cards , numbered 1 through 15 , if you pick a card what is the probability that you choose an odd number or a two

Paul [167]

I think the probability of picking an odd number is 7/15

3 0

3 years ago

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