All categories

3 years ago

A solid piece of wood shaped as a cylinder with an 8 centimeter diameter is cut shown

Mathematics

2 answers:

e-lub [12.9K]3 years ago

5 0

What is the height shown

Kisachek [45]3 years ago

4 0

Answer:

Step-by-step explanation:

The height is 12cm

You might be interested in

What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$

6 0

3 years ago

The mali empire of west africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610161016

S_A_V [24]

We are given: The year of the empire fell = 1610.

We have x as a variable that represents the year after the given year 1610.

According to problem, the year after the year number 1610 will have a number that greater than 1610.

We can make a statement for inequality to be written.

"The year after the 1610 is greater than 1610".

The year after the 1610 is x and we use gerater than symbol >.

So, we can setup an inequality as:

x > 1610 : It can be read as x is greater than 1610.

4 0

3 years ago

Read 2 more answers

each year francesca earns a salary of 2% higher than her previous years salary. In her first 5 years at this job, she earned a t

Luda [366]

Answer:

$36,027.9

Step-by-step explanation:

Lets say her salary in the first year is s1. So, in the second year her salary will be 2% higher than x, this is, s1 + s1*0.02, so:

s2 = s1 + 0.02s1 = 1.02s1

Then in year 3 it will be s2 plus a 0.02 increase:

s3 = s2 + 0.02s2 = 1.02(s2) = 1.02 (1.02 s1) = 1.02^2(s1)

Then the same for s4: s3 salary plus the increase.

s4 = s3 + 0.02s3 = 1.02(s3) = 1.02 (1.02 s2) = 1.02(1.02*1.02 s1) =1.02^3(s1)

Finally for the 5th monts:

s5 = 1.02(s4) = 1.02^4(s1)

We know that s1+s2+s3+s4+s5 = 187,345

Lets replace all the salaries by its value depending on s1

s1 + 1.02s1 + 1.02^2(s1) + 1.02^3(s1) + 1.02^4(s1) = 187,345

We can add to the first term a s1^0 as it is eqaul to 1

s1 + 1.02s1 + 1.02^2(s1) + 1.02^3(s1) + 1.02^4(s1) = 187,345

Lets get 1s1 out as common factor:

s1 (1 + 1.02^1 + 1.02^2 + 1.02^3 + 1.02^4) = 187,345

s1 *5.20 = 187,345

Divide both sides by 5.20

s1 = 36,027.9

So, her salary in the 1st month was approximately $36,027.9

4 0

3 years ago

Read 2 more answers

Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal numb

kogti [31]

Answer:

B. 6p/7

Step-by-step explanation:

6p = the total amount of pickles

The problem says that he distributes them evenly to 7 restaurants, so that's dividing.

So your answer is 6p/7

3 0

3 years ago

Read 2 more answers

You are looking at the New York ball drop on New year's eve at a distance of 100 m away from the base of the structure. If the b

nikklg [1K]

Answer:

Idk

Step-by-step explanation:

4 0

3 years ago