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ss7ja [257]
3 years ago
10

The volumes of two cubes are 32ft^3 and 1372ft^3

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

1) 8 : 343

2) 42.875 or 42 ⅞

3) 4 : 49

4) 16ft²

Step-by-step explanation:

Volume of cube: s³

Surface area of cube: 6s²

_____________________

32ft^3 and 1372ft^3 →

32 : 1372 = 8 : 343

343 / 8 = 42 ⅞ = 42.875

s³ → 6s²

s³ = 8, s = 2, s² = 4.

s³ = 343, s = 7, s² = 49.

These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.

s³ → 8 : 343

6s² → 4 : 49

(4 / 49) × 196ft² = 16ft²

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The left and right page numbers of an open book are two consecutive integers whose sum is 23. Find these page number.
zavuch27 [327]

Answers: The page numbers are 11 and 12

==========================================================

Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

  • x = first page, some positive whole number
  • x+1 = second page, follows immediately after page x

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

8 0
2 years ago
A ball is thrown from an initial height of 1 meter with an initial upward velocity of 13 m/s. The ball's height h (in meters) af
Lunna [17]
Here the answer is: 0.76 and 1.84

I hope I don't have to explain it again.






4 0
3 years ago
1. How can you find the decimal forms of 3/12 and 2/9?
Helga [31]

Answer:

1. 0.472

2. 0.25

Step-by-step explanation:

1. reduce the fraction with 3 = 1\4 + 2\9

write all numerators above the Least common denominator 36 =9 + 8\36

Add numbers = 17\36 and the alternate form is 0.472

2. Divide the numerator and denominator by three = 3 ÷ 3\12 ÷ 3 = 0.25

I can't do the others now I have an exam(sorry)

6 0
3 years ago
taras car accelerated from 10 miles per hour to 70 miles per hour in 12 seconds. what is the approximate rate of change in the m
Rina8888 [55]

Answer:

60 mph

Step-by-step explanation:

70 - 10 = 60 miles per hour

5 0
3 years ago
Which sequence follows the rule an =an–1 + 7?
Akimi4 [234]

Answer:

A

Step-by-step explanation:

using the rule : a_{n} = a_{n-1} + 7

sequence A with a₁ = 11

a₂ = a₁ + 7 = 11 + 7 = 18

a₃ = a₂ + 7 = 18 + 7 = 25

a₄ = a₃ + 7 = 25 + 7 = 32

sequence A is generated using the rule

sequence B with a₁ = 17

a₂ = a₁ + 7 = 17 + 7 = 24

a₃ = a₂ + 7 = 24 + 7 = 31

a₄ = a₃ + 7 = 31 + 7 = 38

sequence B is not generated using the rule

sequence C with a₁ = - 15

a₂ = - 15 + 7 = - 8

a₃ = a₂ + 7 = - 8 + 7 = - 1

a₄ = a₃ + 7 = - 1 + 7 = 6

sequence C is not generated using the rule

sequence D with a₁ = - 9

a₂ = a₁ + 7 = - 9 + 7 = - 2

a₃ = a₂ + 7 = - 2 + 7 = 5

a₄ = a₃ + 7 = 5 + 7 = 12

sequence D is not generated using the rule



7 0
3 years ago
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