What is the area of the polygon below?

Answers

Answer 1

Answer:

The area of the given polygon is 84 square units.

What is a polygon?

In geometry, a polygon is any closed curve made up of a series of line segments (sides) connected so that no two segments cross. A rectangle is a flat, four-sided shape with right angles at every intersection (90°).

Area of rectangle = length * width

How to solve the problem?

Here, the polygon is made up of two rectangles. One rectangle'swidth and length are 10 units and (12 - 9) = 3 units respectively. Other rectangle'swidth and length are 6 units and 9 units respectively. To find the area of the given polygon, we have to add the values of the areas of these two rectangles.

Area of one rectangle = 10 * 3 = 30 square units

Area of other rectangle = 6 * 9 = 54 square units

Then the area of the polygon = 30 + 54 = 84 square units

Therefore the area of the given polygon is 84 square units. So, option D is correct.

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Answer 2

Answer: The answer to this question is D 84 square units. Think it as two shapes so 10×3 and 9×6

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What is the median of the data? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18

Answers

10, 12, 12, 12, 13, 14, 14, 16, 17, 18, 19, 20

median = 14

How do you write 159 million million million

Answers

159 million = 159,000,000

159 million million = 159,000,000,000,000

159 million million million = 159,000,000,000,000,000,000

---------------------------------

159 million million million = 159 million trillion

The requried 159 million million million is equivalent to $1.59 * 10^(20)$ and in standard 159,000,000,000,000,000,000,000.

To write 159 million million million, we can use scientific notation to represent the large number more conveniently. In scientific notation, the number is written as a coefficient multiplied by a power of 10.

159 million million million is equivalent to 159 multiplied by 1 million, which itself is equal to $10^6$ . Therefore, we can write 159 million million million as:

159 × 1,000,000,000,000,000,000,000 (6 zeros for million, 6 zeros for million, and 6 zeros for million)

In scientific notation, this is written as:

$1.59 * 10^(20)$

So, 159 million million million is equivalent to $1.59 * 10^(20)$ .

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Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| > 4

Answers

Answer:

***********o o**************

<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->

x>4 or x<-4

Step-by-step explanation:

You are looking for numbers that give you a distance, x, greater than 4 from 0. That wouldn't be anything between -4 and 4 because these would all give you a distance less than 4 from 0. So the answer would be to shade everything greater than 4 while also shading everything less than -4.

Here is a number line <-----|-----|-----|-----|-----|-----|-----|-----|-->

-6 -4 -2 0 2 4 6 8

Let's think about this more which of these numbers on this number line would satisfy |x|>4?

Numbers inside the numbers -4 and 4.

Or the numbers on the outside.

Let's try the inside numbers:

-2,02

|-2|>4

2>4 is false which means -2 doesn't satisfy |x|>4

|0|>4

0>4 is false which means 0 doesn't satisfy |x|>4

|2|>4

2>4 is false which means 2 doesn't satisfy |x|>4

We could also try -4 and 4... but these will both give you a distance equal to 4 from 0. And we are looking for greater than.

|-4|>4

4>4 is false which mean -4 doesn't satisfy |x|>4

|4|>4

4>4 is false which means 4 doesn't satisfy |x|>4

Now let's try the numbers on the outside:

-6,6,8

|-6|>4

6>4 is true so -6 does satisfy |x|>4

|6|>4

6>4 is true so 6 does satisfy |x|>4

|8|>4

8>4 is true so 8 does satisfy |x|>4

So what I'm trying to do is convince you more that the only numbers that would satisfy |x|>4 are numbers outside the interval from -4 to 4.

So x>4 or x<-4.

On a number line the solution would look like this:

***********o o**************

<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->

We have holes at -4 and 4 to mean we do not include those numbers. We would have if the inequality read $|x| \ge 4$ . The line underneath this inequality means to include or equals. We do not want to include; we did not have the equal sign. The only difference between the two solutions would be to fill the holes if you $|x| \ge 4$ .

***********o o**************

<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->

I desperately need help with this question????? I got 2 different answers and don't know which one is right. So please help me here is the question Students from three classes at Hudson valley elementary school are planning a boat trip. On the trip there will be 20 students in each class along with 11 total teachers and 13 total parents. Each boat seats 10 people. How many boats will they need to rent? Explain how you solved the problem

Answers

each class has 20 students

3 classes // 20 x3= 60

60 students + 11 teachers+13 parents = 84 people total

as you cant put half people in boats you round up to 90

meaning you would need 9 boats to have enough space for all of them xx

hope this helped x

They will need to rent 5 boats. 20+11+13=44 and each boat seats 10 people so 44÷10= 4 remainder:4 and you cant keave 4 people out they need another boat.

Jerry wonders "how many $10 bills are equal to a $1,000 bill?

Answers

100 bills, Jerry.
Jerry: " BUT WHY? "
Excellent question, Jerry, you forward thinker.
Well....
10x1=10
10x10=100
See how the product has the same number of zeros as the actual problem?
Look:
10x100 has 3 zeros.
The product is 1,000, which ALSO has 3 zeros.
So, to save yourself the trouble, just count the zeros.
Jerry: " WOW I GET IT NOW!"
AND SO SHOULD YOU AFTER READING THIS! :)

Luisa mows lawns during the summer. She charges $15 if she cuts the grass but charges $5 more if she also trims the grass. Last week she trimmed 5 more yards than she cut. If she made $415 last week, how many yards did she trim?

Answers

Well, those 5 extra yards had given her an extra $100, so the yards she cut, plus those she trimmed, had given her $315. To cut one and trim another one she takes $35. This means 9 yards were cut and 14 trimmed. (do a division, 315/35=9).

Answer:

315÷35=9

Step-by-step explanation:

5 extra yards had given her an extra $100, so the yards she cut, plus those she trimmed, had given her $315. To cut one and trim another one she takes $35. This means 9 yards were cut and 14 trimmed. (315÷35=9)