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Dovator [93]
3 years ago
10

A rectangular garden has a walkway around it. The area of the garden is 4(5.5x + 2.5). The

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

a = 22x + 23

Step-by-step explanation:

area walkway = area both - area garden

a = 5.5(8x + 6) - 4(5.5x + 2.5)

Distribute

a = (44x + 33) - (22x + 10)

Simplify

a = 44x + 33 - 22x - 10

Combine like terms

a = 22x + 23

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The fountain in the pond at the public park near Kevin’s house has a pump that recirculates 75 gallons of water in 1/4 of an hou
il63 [147K]

Answer:

300 gallons an hour

Step-by-step explanation:

If it pumps 75 gallons in 1/4 of an hour (15 minutes), then if you times that by four to make it a full hour (60 minutes). 75 times 4 is 300.

7 0
3 years ago
Marris decides to bake his parents a cookie in the shape of a regular dodecagon (12‑gon) for their 12-day anniversary.
allochka39001 [22]

Answer:

The answer to each question is:

  • A.) 403.2 cm^{2}
  • B.) 100. 8 cm^{2}

Step-by-step explanation:

A.) To obtain the area of the dodecagon, you can use the next formula:

  • Area of a dodecagon = 6 * apothem * edge

In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:

  • Apothem = Edge * \frac{2+\sqrt{3}}{2}

If we replace the value of the edge, we obtain:

  • Apothem = 6 cm * \frac{2+\sqrt{3}}{2}
  • Apothem = 11.2 cm (approximately).

With this data, we can find the area:

  • Area of a dodecagon = 6 * apothem * edge
  • Area of a dodecagon = 6 * 11.2 cm * 6 cm
  • Area of a dodecagon = 403.2 cm^{2}

Then,<u> the area of the dodecagon is 403.2 </u>cm^{2}<u> approximately</u>.

B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.

If:

  • 12 pieces = 403.2 cm^{2}
  • 3 pieces = X

Then:

  • X = (3 * 403.2 cm^{2}) / 12
  • X = 1209.6 cm^{2} / 12
  • X = 100. 8 cm^{2}

In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u>cm^{2}<u> approximately</u>.

5 0
3 years ago
Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the
Umnica [9.8K]

Answer:

Step-by-step explanation:

The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.

7 0
2 years ago
Given 2 circles: One with a diameter of 20 cm and another with a 50 cm, find the difference between the 2 areas. Hint: area= pi
Lelu [443]

Answer:

1648.5

Step-by-step explanation:

20cm radius - 10

50cm radius- 25

area = 3.14×10²

3.14×100

=314

area= 3.14× 25²

3.14×625

= 1962.5

1962.5

- 314

_________

1648.5

6 0
3 years ago
Please help me on #23 please help me please and thank you
adell [148]

Answer:

a.

Step-by-step explanation:

-1230<-220

4 0
2 years ago
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