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krok68 [10]
3 years ago
10

*PLEASE ANSWER DIFFICULT QUESTION* What is the area of the polygon?

Mathematics
2 answers:
LenaWriter [7]3 years ago
5 0

Answer:

Option 4, 64 cm^2

Step-by-step explanation:

The polygon in the shape of a star can be made to be easier to find the area of by cutting it into triangle. For all the "point edges" of the star, we can cut them in half from the vertex to create two right-angled triangles at each edge.

The formula of the area of a triangle is bh/2: the height is given as 6cm, the base is 4cm /2 (after you cut it in half) and so is 2 cm. Since the edges can be cut into two, there are 8 right angled triangles at the edges in total.

To find the area of them:

A=8(bh/2)=8(2*6/2)=48 cm^2

However, we are still missing the part at the centre we haven't found the area of, the square. The area of a square is given by the square of the side length(4cm). Thus, A=4*4=16cm^2

Adding the areas of all the edges and the square:

48 + 16 = 64cm^2

Hence, the area of the polygon is 64cm^2

Marina CMI [18]3 years ago
5 0
It’s option 4 (64) I’m too lazy to write down the step by step and I really just did this for points, see the dude above me
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Write an inequality for each situation.
pickupchik [31]

Answer:

A. 56-6m<20

B. 2.95b+28<450

13. Less than, greater than, going over or not going over.

Step-by-step explanation:

A. The answer to the first question can be simple. If she can scan 6 photographs per minute, then we would write the inequality 56-6m<20, since we are subtracting 6 from 56 every minute, we would write 6 per minute as 6m, and subtract that from 56. Lastly, since it says <u>less than</u>, we need to put the less than symbol, the mouth facing towards the 20 as the greater number.

B.  If she has spent 28, that means that we put -28 on the equation as a constant. Then, we put the price times the number of batteries she bought, or 2.95b, and put a less than symbol, since we want to spend less than the 450 gift card. So the equation would be 2.95b+28<450

13. Key words to indicate inequalities can be less than, greater than, without going over, going over.

Hope this helps! :D

5 0
3 years ago
A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should
xeze [42]

Answer:

20.8 inches squared

Step-by-step explanation:

Area of spinner:

45.1 is the area of sectors where the token doesn't move, which 5 sectors doesn't move the token (don't forget that the bonus points doesn't move token). Then

45.1/5=9.02

9.02*12=108.24

K=1/2(r^2)sin150

108.24=1/2(r^2)sin150

216.48=(r^2)1/2

432.96=r^2

r=20.8

7 0
3 years ago
The number 2400 is first increased by 30%.The value obtained is next decreased by 20%.Find the final number
kvasek [131]

<em>2400 is increased by 30%.</em>

so,

2400 + (30/100 * 2400)

2400 + (30 * 24)

2400 + 720

3120

<em>this number is decreased by 20%.</em>

so,

3120 - (20/100 * 3120)

3120 - (2 * 312)

3120 - 624

2496

therefore, the final number will be 2496.

3 0
3 years ago
What does W = too please help
dedylja [7]
-7w+3(w+6)=30\\\\-7w+3w+18=30\\\\-4w+18=30\ \ \ \ \ |subrtact\ 18\ from\ both\ sides\\\\-4w=12\ \ \ \ \ \ |divide\ both\ sides\ by\ (-4)\\\\\boxed{w=-3}

3 0
3 years ago
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What is the absolute value of –6? Use the number line to help answer the question. A number line going from negative 7 to positi
drek231 [11]
<h3>Answer:  6</h3>

Mark the locations -6 and 0 on the number line. Note that going from -6 to 0, or vice versa, will take exactly 6 steps. Put another way, the distance between 0 and -6 is 6 units. Absolute value represents distance, so it is never negative.

We say |-6| = 6

Effectively, all we're doing is removing the negative sign.

6 0
3 years ago
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