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Fed [463]
3 years ago
10

5 min 0 sec minus 35 sec

Mathematics
1 answer:
nata0808 [166]3 years ago
5 0
4 minutes and 25 seconds
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HELP!
Anastasy [175]

The areas of the parallelograms can be compared as: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

<h3>What is a parallelogram?</h3>

A parallelogram refers to a geometrical shape and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

<h3>How to calculate the area of a triangle?</h3>

Mathematically, the area of a triangle can be calculated by using this formula:

Area = ½ × b × h

Where:

  • b represents the base area.
  • h represents the height.

<h3>How to calculate the area of a rectangle?</h3>

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

  • A represents the area of a rectangle.
  • l represents the length of a rectangle.
  • w represents the width of a rectangle.

Next, we would determine the area of the two parallelograms as follows:

Area of parallelogram 1 = Area of red-rectangular figure - Area of triangle A - Area of triangle B - Area of triangle C - Area of triangle D.

Substituting the given parameters into the formula, we have;

Area of parallelogram 1 = (6 × 6) - (½ × 4 × 2) - (½ × 2 × 4)- (½ × 4 × 2) - (½ × 2 × 4)

Area of parallelogram 1 = 36 - 4 - 4 - 4 - 4

Area of parallelogram 1 = 36 - 16

Area of parallelogram 1 = 20 units².

For parallelogram 2, we have:

Area of parallelogram 2 = Area of blue-rectangular figure - Area of triangle P - Area of triangle Q - Area of triangle R - Area of triangle S.

Substituting the given parameters into the formula, we have;

Area of parallelogram 2 = (8 × 4) - (½ × 2 × 2) - (½ × 6 × 2)- (½ × 2 × 2) - (½ × 2 × 6)

Area of parallelogram 2 = 32 - 2 - 6 - 2 - 6

Area of parallelogram 2 = 32 - 16

Area of parallelogram 2 = 16 units².

Difference = Area of parallelogram 1 - Area of parallelogram 2

Difference = 20 - 16

Difference = 4 units².

In conclusion, we can infer and logically deduce that the area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Read more on parallelogram here: brainly.com/question/4459854

#SPJ1

6 0
1 year ago
Euler Bank advertises that it compounds interest continuously and that it will double your money in 20 yr. What is the annual in
Romashka [77]

To solve this problem you must apply the proccedure shown below:

1. You must apply the following formula:

FV=(PV)(e^{it})

Where FV is the future value, PV is the present value, i is the interest rate and t is the time in years.

2. You have that the bank will double your money in 20 years. Therefore:

FV=2PV

3. Substitute values into the formula and solve for i, as following:

2PV=(PV)(e^{(i)(20)} \\ 2=e^{(i)(20)}

4. By applying natural logarithm, you have:

 ln(2)=(i)(20) \\ i= \frac{ln(2)}{20}  \\ i=0.0346

 i=3.46 %

 The answer is: 3.46 %

 

6 0
3 years ago
I need help with solving 20 divided by 15/16
stellarik [79]

Answer:

Rookie number my mans

Step-by-step explanation:

20 divided by 15/16 is 64/3

which simplified is 21.333....

but 64/3 turned into a mixed fraction is 21 1/3

8 0
3 years ago
Read 2 more answers
On monday bonnie completed 1/2 of her art project. On tuesday she completed 1/5 of her art project. How much of the art project
julia-pushkina [17]

Answer:

  3/10

Step-by-step explanation:

Bonnie has completed 0.5 + 0.2 = 0.7 of her art project. 1 - 0.7 = 0.3 of her art project remains to be completed.

_____

1/2 = 5/10 = 0.5

1/5 = 2/10 = 0.2

4 0
3 years ago
A coin is flipped five times. Find the number of possible sets of heads and tails that have 2 heads.
agasfer [191]

Answer:

option d

Step-by-step explanation:

Given that a coin is tossed 5 times. Assuming it is a fair coin, head and tail are equally likely.

If we toss 5 times, the number of heads can be either 0 or 1 or 2...5.

Number of outcomes that have 2 heads

=out of 5, two heads and three tails

=5C2

=5(4)/2

=10

So answeris 10

Option d is right answer

5 0
3 years ago
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