Radius of a clock is 8.5 centimeters. What is circumference of the clock?

Answers

Answer 1
Answer: The circumference of a circle is 2\pir
C= 8.5 x 2 x \pi
C= 17 x \pi
C= 53.407 centimeters

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A population of endangered birds decreases by 3% each year.a. If the current population is 30,000 birds, write an equation that represents the number of birds, N, in terms of the number of years, T, from the present. b. Approximately what will the bird population be after twenty years? Round your answer to the nearest thousand.
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Jerry walked a dog from 6:40am to 7:30am one day, Paid at the rate of $6 per hr, how much did he earn that day?

Charlie is 24 years older than Marty. If the total years old of both are 130, find the years old of each one.

Answers


C- Charlie

M-Marty

C=24+M

C+M=130

_______

24+M+M=130

2M=106

M=53

C=53+24=77

C=77


x-Charlie\ age\ny-Marty\ age\n\nChrlie\ is\ 24\ years\ older\ than\ Marty:x=y+24\nThe\ total\ years\ old\ of\ both\ are\ 130:x+y=130\n\nTherefore\ we\ have:\n  \left\{\begin{array}{ccc}x=y+24&(1)\nx+y=130&(2)\end{array}\right\n\nsubtitute\ (1)\ to\ (2):\n\n(y+24)+y=130\ny+24+y=130\n2y+24=130\ \ \ \ |subtract\ 24\ from\ both\ sides\n2y=106\ \ \ |divide\ both\ sdies\ by\ 2\n\boxed{y=53}

Subtract\ the\ value\ of\ y=53\ to\ the\ (1):\n\nx=53+24=\boxed{77}\n\n\boxed{  \left\{\begin{array}{ccc}x=77\ny=53\end{array}\right}\n\nAnswer:\nCharlie\ age:77\nMarty\ age:53

A student is offered two different summer jobs. Job A lasts 16 weeks and pays $350.00 per week. Job B lasts 4 months and pays $1,500.00 per month, with monthly raises of 10% of the previous month's salary. How much more does the student earn by accepting Job B (rounded to the nearest cent)?

Answers

The required, by accepting job B a student can earn $1361.5 more than Job A.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
Job B lasts 4 months and pays $1,500.00 per month, with monthly raises of 10% of the previous month's salary.
Total earnings in 4 months,
= 1500 + 1.1×1500 + 1.1 [1.1×1500] + 1.1×[ 1.1 [1.1×1500] ].
= $6961.5

Job A lasts 16 weeks and pays $350.00 per week.
Total earnings in 16 weeks,
= 16 × 350 = $5600

The difference in earning = Job B - Job A
                                 = 6961.5 - 5600
                                 = 1361.5

Thus, the required, by accepting job B a student can earn $1361.5 more than Job A.

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Both last 4 months.

Job B = $412.50per/week

Job A = $1600per/month

1650*1.1 = 1815 Month 2's paycheck

1815*1.1 = 1996.5 Month's 3 Paycheck

1996.5*1.1 = 2196.15 Month 4's paycheck

1600*4 = $6400 Job A total

1650+1815+1996.5+2196.15 = $7657.65 Job B total

7657.65-6400 = 1257.65

$1257.65 more thant Job A

Use complete sentences to describe how measurements of position in two directions (vertical and horizontal) are sufficient enough to describe the position of an object on a flat surface

Answers

Answer:

We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.

Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.

So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.

For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.

Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.

This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.

Final answer:

Position of an object on a flat surface can be adequately described using measurements in the vertical and horizontal directions from a certain reference point. This concept is inherent in the use of vector quantities in physics which allow us to describe motion in two perpendicular directions.

Explanation:

To describe the position of an object on a flat surface, we can use two measures: the vertical and horizontal displacement from a certain reference point. This reference point is often called the origin in a Cartesian coordinate system, which is a type of frame of reference.

Let's imagine you're looking at a map. If we want to specify a location on that map, we can describe it in terms of its distance east (or west) and north (or south) from a particular point. This technique uses horizontal and vertical measurements to describe the position.

This concept is inherent in the idea of vector quantities. In two dimensions, a vector describes motion in two perpendicular directions, such as vertical and horizontal. The principle that motions along perpendicular axes are independent allows us to analyze these two directions separately. Each vector in this context has vertical and horizontal components, and the length of the vector (representing the object's total displacement) is calculated based on these two components.

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How do you write 4.110 and 4.10 in words

Answers

Answer:

4.110: Four and eleven hundredths,

4.10: Four and one tenths.

Step-by-step explanation:

We have been given two numbers. We are asked to write these number in words.

4.110:

Ones: 4

Tenths: 1

Hundredths: 1

Thousandths: 0

Therefore, our given number would be four and eleven hundredths.

4.10:

Ones: 4

Tenths: 1

Hundredths: 0

Therefore, our given number would be four and one tenths.

4.110: "four and one hundred ten thousandths"

4.10: "four and ten hundredths"

To write the numbers 4.110 and 4.10 in words, we can break them down into their individual parts and express them accordingly:

4.110:

The wholenumber part is 4, which can be written as "four."

The decimal part is 110.

To express this in words, we can say "one hundred ten."

Putting it all together, 4.110 can be written as "four and one hundred ten thousandths."

4.10:

The whole number part is 4, which can be written as "four."

The decimalpart is 10.

To express this in words, we can say "ten."

Therefore, 4.10 can be written as "four and ten hundredths."

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4. (02.06 MC)A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

Answers

Answer: See explanation

Step-by-step explanation:

Diameter = 8 inches

Radius = Diameter/2 = 8/2 = 4 inches

Height of the cylinder = 3 inches

Height of the cone = 18 inches

Volume of a cylinder = π r² h

= 3.14 × 4² × 3

= 3.14 × 16 × 3

= 150.72

Volume of a cone = 1/3 π r² h

= 1/3 × 3.14 × 4² × 18

= 1/3 × 3.14 × 16 × 18

= 301.44

From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.

At a local event, the ratio of hamburgers to hot dogs sold is 5:3. The number of hamburgers sold is 275. How many more hamburgers then hot dogs are sold? Show you're work.

Answers

*your
If the ratio is 5:3, then you divide 275 by 5, and then multiply it by 3. If you test the result, you'll find that the ratio fits.