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3 years ago

PLEASE HELP!!! no crazy answers please

Mathematics

1 answer:

Schach [20]3 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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Step-by-step explanation:

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3 years ago

What is the overlap of Data Set 1 and Data Set 2?

erastovalidia [21]

Answer: Answer:

There is moderate level of overlap between the two data sets.

Step-by-step explanation:

Overlap of data sets.

Overlap measures the degree of duplication that exists within data sets.

It is an indicator of the degree to which data are identical.

We are given two data sets in the question.

We have to find the amount of overlap in data set 1 and in data set 2.

There are 8 data points in data set 1 as shown in the image.

There are 8 data points in the data set 2 as shown in the image.

Out of the 8 data points for both data set 1 and data set 2, 5 data points overlap each other on 6, 7, 8 and 9.

Thus, we could say there is moderate level of overlap between the two data sets.

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2 years ago

Can I simplest 48/30

brilliants [131]

Yes. it would be 1 and 18/30 or 1 9/15. it can also be 1 and 3/5 or 8/5

7 0

3 years ago

Read 2 more answers

3. Simplify. *<br> 5m3 + 2m– 7m3 – 8m

Oksanka [162]

Step-by-step explanation:

5m³ + 2m - 7m³ - 8m

= -2m³ -6m

= -2m(m² + 3)

4 0

3 years ago

Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago