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3 years ago

What is the radius of a hemisphere with a volume of 6466 to the nearest tenth of a meter?

Mathematics

1 answer:

Alecsey [184]3 years ago

7 0

Answer:

14.6m

Step-by-step explanation:

volume of a hemisphere = (2/3)πr3

Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)

r = cube root ( 6466 * 3/2 * 1/ π)

r = 14.56

in the nearest tenth of a meter = 14.6 m

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The value of a machine depreciates each year by 5% of its value at the beginning of that year.If its value when new on 1st Janua

luda_lava [24]

Answer:

6460 pounds approx.

Step-by-step explanation:

Depreciation = P( 1 - r/100)^n [ n = time period, P= Principal and r= rate}

= 10,250(1-5/100)^9

= Approx. 6460 pounds

7 0

3 years ago

The correct scientific notation for the number 500.0 is

marishachu [46]

Answer:

The correct scientific notation for the number 500.0 is $500=5.0\times10^2$

Step-by-step explanation:

While writing a large number in scientific notation we do below mentioned two things.

We take any number between 1 and 10
Then we multiply this number with an exponent of 10.

Hence, any number in scientific notation is in the form $a\times10^b$

Here a is any number between 1 and 10.

b is exponent of 10.

Now, writing 500 in scientific notation, we take a = 5

Hence, we have to take b = 2, since 5 multiplied by 100 equas 500.

Thus, we have

$500=5.0\times10^2$

5 0

3 years ago

Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1

NeTakaya

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

7 0

3 years ago

Suppose you work as a clerk at a local retail store earning $6 per hour. The amount of your weekly paycheck (before taxes are ta

Viktor [21]

Answer:

x is the independent variable and it represents the number of hours worked per week by the clerk.

Step-by-step explanation:

An independent variable refers to a variable in model that is varied or changed in order to examine its effect on another variable. The other variable is called a dependent variable.

A dependent variable is a variable in a model that changes as a result of a change in the independent variable.

From the question, x is the independent variable and its represent the number of hours worked by the clerk.

F(x) represents the amount of your weekly paycheck and it is the dependent variable that changes as the number of hours worked, x, changes.

For example, since we are given:

F(x) = 6x ............................... (1)

Where;

F(x) = = depemdent variable = Amount of weekly paycheck (before taxes are taken out)

6 = coefficient of x = Earning per hour

x = Independent variable = Number of hours worked

Assuming x = 1, we can substitute this into equation (1) and have:

F(x) = 6 * 1 = $6

But when x = 2, we have:

F(x) = 6 * 2 = $12

Therefore, the dependent variable F(x) changes from $6 weekly to $12 weekly as the independent variable x changes form 1 hour to 2 hours weekly.

8 0

3 years ago

A metal soup can is 4 in. tall and has a diameter of 6 in.

sukhopar [10]

The amount of metal used to make the can = surface area of cylindrical can, which is: D. 42π in².

<h3>What is the Surface Area of a Cylinder?</h3>

A can is a cylinder.

Surface area of a cylinder = 2πrh + 2πr²

Thus:

Amount of metal used to make the can = surface area of the can

r = 6/2 = 3 in.

h = 4 in.

Therefore:

Surface area = 2×π×3×4 + 2×π×3²

Surface area = 24π + 18π

Surface area = 42π in².

Learn more about the surface area of a cylinder on:

brainly.com/question/14657844

4 0

2 years ago