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Mandarinka [93]
3 years ago
7

6 ft. 12 ft. 8 ft. The area of this irregular figure is -sq. ft. 16 ft.

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

Answer:

When we know all 3 sides, we use Heron's Formula

area = sqrt [s *(s-a) * (s-b) * (s-c)]

where "s" is the semi-perimeter which in this case equals

s = (6 + 8 + 12) / 2   = 13

area = sqrt [13 * 5 * 7 * 1]

area = sqrt 455

area = 21.3307290077

area = 21.33 square feet (rounded)

Step-by-step explanation:

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A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
3 0
1 year ago
If the height of water in the tank is 10cm what is the volume of the water​
Kay [80]

Answer:

4500cm^3

Step-by-step explanation:

We use the normal formula for volume V= L•W•H just changing the H value from 20 to 10 because the water isn't at the full hight

10•30•15=4500

hope this helps <3

7 0
2 years ago
Read 2 more answers
In a dog show , there will be a gold and a silver medal awarded. There are 5 finalist. In how many different ways can the 2 meda
harina [27]

P(5,2) = 5!/3! = 20

in 20 ways you can give medals

6 0
3 years ago
Help please... :) I need help
Reptile [31]

Answer:

arcPR=125

RQ=125

PR=30

AQ=4

im not done yet and im not sure if im right but hope this helps.

7 0
3 years ago
Find a number such that 7 times the number is 56 greater than the opposite of the number.
Elenna [48]

Answer:

hey your answer can be 10 because the oppisite of 56 is 65 and 7x 10 is 70

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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