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3 years ago

What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3,2), (8,2), and (5, -2)?

Mathematics

1 answer:

Talja [164]3 years ago

5 0

Answer: 20 sq. units .

Step-by-step explanation:

Let A(0, -2), B(3,2), C(8,2), and D(5, -2) are the points for the parallelogram.

First we plot these points on coordinate plane, we get parallelogram ABCD.

By comparing the y-coordinate of B and C with A and D , we get

height = 2+2 = 4 units

Also by comparing the x coordinates of A and D, we get base = 5-0= 5 units

Area of parallelogram = Base x height

= 5 x 4 = 20 sq. units

Hence, the area of a parallelogram ABCD is 20 sq. units .

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A rectangular tank measuring 50 cm x 30 cm x 60 cm was completely filled with water. 1 5 of the water in the tank was transferre

Ierofanga [76]

Answer:

Step-by-step explanation:

Volume of the rectangular tank = Length * Width * Height

Given

Length = 50cm

Width = 30cm

Height = 60cm

Get the volume:

Volume = 50*30*60

Volume = 90,000cm³

Hence the volume of the rectangular tank is 90,000cm³.

If 1/5 of the volume of water was transferred to another tank, the volume transferred will be:

Amount transferred = 1/5 * 90,000

Amount transferred = 18000cm³

Amount left in the tank = 90,000 - 18,000

<em>Amount of water left in the tank = 72,000cm³</em>

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3 years ago

Find the rate of change from the given table.

Ymorist [56]

The rate of change would be D. 4

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3 years ago

Solve using completing the square x^2 – 8x + 16 = 25

lisov135 [29]

First we need to factor the left side. Since it is a perfect square (as is the process with completing the square, we know we can take half of the middle number along with x to be in the two parenthesis.

(x - 4)(x - 4) = 25

Now we simplify to show it as a square.

(x - 4)^2 = 25

Next we take the square root of both sides

x - 4 = +/- 5

Note that we have plus or minus 5. This is because either square would give us positive 25. Now we add 4 to both sides

x = 4 +/- 5

4 + 5 = 9

4 - 5 = -1

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3 years ago

Write the rule for the translation shown below.

Pepsi [2]

That is a reflection

5 0

3 years ago

If a towns population currently at 50,000 experiences 5% growth every 10 years, what will its population be in 25 years

disa [49]

Answer:

56503

Step-by-step explanation:

this grows exponentialy so at the start it would be 50,000 growing by 5% every ten years. but since there is only 2 ten years in 25 years we must cut the percent in half making 2.5%

Step 1

(50,000×5%)+50,000= 52500

Step 2

(52500×5%)+52500= 55125

step 3

(55125×2.5%) +55125= 56503

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2 years ago