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Novosadov [1.4K]
2 years ago
7

PLEASE HELP!!! no crazy answers please

Mathematics
1 answer:
Schach [20]2 years ago
4 0

Answer:

(a) 63 cups

(b) 16 cups

Step-by-step explanation:

Given that the volume of the sink = (2000/3)×π in³

(a) For the cup that has diameter = 4 in. and height, h = 8 in.

The radius, r = Diameter/2 = 4/2 = 2 in.

The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×2²×8 = (32/3)×π in.³

The number of cups to scoop = (Volume of the sink)/(Volume of the cup)

The number of cups to scoop = ((2000/3)×π)/((32/3)×π ) = 125/2=62.5 cups

Rounding to the next whole number gives 62.5 cups ≈  63 cups

(b) For the cup that has diameter = 8 in. and height, h = 8 in.

The radius, r = Diameter/2 = 8/2 = 4 in.

The of a cone = 1/3×Base area × Height = 1/3 × π×r² ×h = 1/3×π×4²×8 = (128/3)×π in.³

The number of cups to scoop = (Volume of the sink)/(Volume of the cup)

The number of cups to scoop = ((2000/3)×π)/((128/3)×π ) = 125/8=15.625 cups

Rounding to the next whole number gives 15.625 cups ≈  16 cups.

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Can some please help me with this math question.
Veseljchak [2.6K]

Answer:

C- Inverse

Step-by-step explanation:

Logarithmic example:

log₆ of 6, the answer is 1.

Exponential example:

6^{1} = 6

These are inverses

hope this helps :)

6 0
3 years ago
Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
sasho [114]

Answer:

y=12x-16

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

4 0
2 years ago
Yesterday the snow was 2 feet deep in front of archies house. Today,the snow depth dropped to 1.6 feet because the day is so war
pshichka [43]

Answer:

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Step-by-step explanation:

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subtract .4 from 2 and it's 1.6 and change the .2 to percentage

3 0
3 years ago
What is the slope of y = 4 -2x?
erastovalidia [21]

Answer:

<h2>- 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have

y=4-2x=-2x+4

Therefore the slope is equal to -2.

8 0
3 years ago
How would I categorize numbers? For example, what category would √23 fit into? Thankssss
alexandr1967 [171]

Answer:

  positive, real, irrational, algebraic

Step-by-step explanation:

Numbers are categorized various ways. Some categories include ...

  prime, composite

  real, complex

  integer, rational, irrational

  whole number, natural number

  positive, negative, zero

  algebraic, non-algebraic*

√23 is the positive, real, irrational root of a prime number. It is an algebraic number.

_____

* An algebraic number is a root of a polynomial with integer coefficients.

√23 is a root of x^2 -23 = 0.

4 0
3 years ago
Read 2 more answers
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