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3 years ago

75.64 rounded to the nearest 10th

Mathematics

2 answers:

Nataly [62]3 years ago

8 0

Answer:

75.6

Step-by-step explanation:

75.64 rounded to the nearest 10th is 75.6.

The tenths place is 0.6, and since the next number is not larger than 5, the number is rounded to 75.6.

Zielflug [23.3K]3 years ago

5 0

Answer:

75.6

Step-by-step explanation:

75.64

The 6 is in the tenths place.

Drop all digits to the right of the 6.

75.6

Since the leftmost digit you dropped is a 4, the 6 does not go up 1 to 7, so the answer is

75.6

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An egg of a particular bird is very nearly spherical. The radius to the inside of the shell is 4 millimeters and the radius to t

igomit [66]

Answer: The volume of shell is 12.8π mm².

Step-by-step explanation:

Since we have given that

Radius to the inside of the shell = 4 milimeters

Radius to the outside of the shell = 4.2 milimeters

Since r changes from 4 mm to 4.2 mm

so, $dr=4.2-4=0.2\ mm$

As we know that

Volume of shell is given by

$\dfrac{4}{3}\pi r^3$

$dv=\dfrac{4}{3}\pi 3r^2\ dr\\\\dv=4r^2\pi\ dr\\\\dv=4(16)\times 0.2\pi\\\\dv=12.8\pi$

So, the volume of shell is 12.8π mm².

4 0

4 years ago

There are 8 students on the minibus. Five of the students or boys. What fraction of the students are boys

blagie [28]

The fraction would be 5/8

3 0

3 years ago

A cylindrical container that has a capacity of 4000 cubic centimeters is to be produced. The top and bottom of the container are

Aleks04 [339]

Answer:

the optimal size of the cylinder to minimise cost is

radius= R = 7.985 cm ≈ 8 cm

height =h = 19.969 cm ≈ 20 cm

Step-by-step explanation:

Since the cost function is

C= 2*π*R²*c₁+ 2*π*R*h*c₂

where R = cylinder radius , h = height ,c₁= cost of the top material ,c₂ = cost f the side material

The volume of the cylinder is:

V=π*h*R² → h= V/(π* R²)

then

C= 2*π*R²*c₁ + 2*π*R* V/(π* R²) *c₂

C= 2*π*R²*c₁ + 2*π*c₂* V/(π* R) *c₂

the value of h that minimises the cost can be found through dC/dR=0 . Thus

dC/dR= 4*π*R*c₁ - 2*π*c₂* V/(π* R²) = 0

2*R*c₁ - c₂* V/(π* R²) = 0

2*R³*c₁ = c₂* V/π

R = ∛[(c₂/c₁)* (V/(2*π)]

replacing values

R = ∛[(c₂/c₁)* (V/(2*π)] = ∛ [($0.40/$0.50)*4000 cm³/(2*π)] = 7.985 cm

R = 7.985 cm

and the height would be

h= V/(π* R²) = 4000 cm³/[π*(7.985 cm)²]] = 19.969 cm

h= 19.969 cm

6 0

4 years ago

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elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

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3 years ago

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A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es

iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550} (x-550)\\\\y=\frac{1}{2}x-25$

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

Find out more at: brainly.com/question/13911928

3 0

3 years ago