Her total salary for the month would be $8300.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have a women with $3,200 as a base salary each month. She gets 8.5% of everything she sells. If she sold $60,000 worth of items this month.
Assume her total salary to be y = $(3200 + x). Then, we can write -
y = $(3200 + {8.5/100} x 60000}
y = $(3200 + 5100)
y = $8300
Therefore, her total salary for the month would be $8300.
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based on your site data sheet and your sample identification, do you feel that you determine an appropriate stream rating? (why or why not). do you feel using macroinvertebrates is a good method to evaluate stream conditions?
When collecting quantitative data you can use a statistical formula to give you a rough estimate of the sample size you will need. When collecting qualitative data, however, the rule of thumb is to have as representative of a sample as possible that will allow you to exhaust the knowledge you could learn from the population.
Macroinvertebrate sampling provides a relatively easy way to assess the water quality of a stream. The types and numbers of macroinvertebrates (mostly insect larvae/nymphs) that form the biological community at a particular stream location are shaped by both the nature of the stream and the quality of water that drains into the stream.
the monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes). the monthly cost for 45 minutes of calls is $14.40 and the monthly cost for 102 minutes is $19.53. what is the monthly cost for 66 minutes of calls?
The monthly cost for 66 minutes of calls will be $15.84.
Monthly cost is the payment or the bill amount that needs to be paid at the end of the month.
The monthly cost (in dollars) of a long-distance phone plan is a linear function of the total calling time (in minutes)
The monthly cost for 45 minutes of calls = $14.40
The monthly cost for 102 minutes = $19.53
The above values can be paired in groups so as to satisfies the coordinates of a linear function
(45,14.40) and (102,19.53)
Finding the slope of the graph using these points
slope, m=Δy/Δx
m=Δy=19.53 - 14.40 = 5.13
Δx=102 - 45 = 57
m = 5.13/57 =0.09
Finding the equation of the linear function using m = 0.09, and point (45,14.40)
m=Δy/Δx
0.09=y-14.40/x-45
0.09(x-45)=y-14.40
0.09x-4.05=y-14.40
0.09x-4.5+14.40=y
y=0.09x + 9.9
So for 66 minutes, the cost will be;
x = 66, y = ?
y=0.09*66 + 9.9
y=5.94+9.9 = $15.84
The monthly cost for 66 minutes of calls is $15.84.
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How do you simplify (2−i) / (5+i) ?
To simplify [tex]\frac{2-i}{5+i} = \frac{9}{26} -\frac{7}{26} i[/tex] , multiply the numerator and denominator by the conjugate of the denominator.
A complex number's conjugate A+bi equals a-bi. A real number is the result of a complex number and its conjugate. That fact will be used here.
[tex]\frac{2-i}{5+i} =\frac{2-i}{5+i} . \frac{5-i}{5-i}[/tex]
[tex]= \frac{(2-i)(5-i)}{(5+i)(5-i)}[/tex]
[tex]=\frac{10-2i-5i-1}{25-5i+5i+1}[/tex]
[tex]=\frac{9-7i}{26}[/tex]
[tex]=\frac{9}{26}-\frac{7}{26}i[/tex]
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y varies directly with the square of x.
If x= 1/2 and y = 12, find x when y = 432.
Answer:
20.8
Step-by-step explanation:
y = x^2
Given the value of y = 432, the equation would be:
432 = x^2
x is found by finding the square root of 432
sqrt 432 = sqrt (x^2)
x = 20.8
Check:
20.8^2 = 432.64
Your final answer would be 20.8.
a farmer wants to decide if he should plant beets or sweet potatoes. no matter what he plants he will get either a good, average, or bad crop yield. for beets, a good yield will give him a profit of $5,000, average will profit $3,000 and, and a bad yield will give a profit of $1,000. for sweet potatoes, the profit for good, average, and bad yields are as follows: $6,000, $3,000, and $0. for either crop, the probability of good yield is 0.4, the probability of average yield is 0.5 and the probability of a bad yield is 0.1. what are the outcomes for beets?
The outcomes for beets or plants beet is $ 5000 , $3000 and $1000.
Given :
a farmer wants to decide if he should plant beets or sweet potatoes. no matter what he plants he will get either a good, average, or bad crop yield.
For beets, a good yield will give him a profit of $5,000, average will profit $3,000 and, and a bad yield will give a profit of $1,000. for sweet potatoes, the profit for good, average, and bad yields are as follows: $6,000, $3,000, and $0. for either crop, the probability of good yield is 0.4, the probability of average yield is 0.5 and the probability of a bad yield is 0.1.
Outcomes of beets = good yield , average and bad yield.
so
= $ 5000 , $3000 and $1000
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the sum of two nonnegative numbers is 20. find the numbers if (a) the sum of their squares is as large as possible; as small as possible. (b) one number plus the square root of the other is as large as possible; as small as possible.
For both part (a), the two nonnegative numbers, x and y must be 0 and 20 for the sum of their squares to be as large as possible, and 10 and 10 for the sum of their squares to be as small as possible. For part (b), x must be 20 and y should be 0 for largest possible result, whereas for smallest possible result x must be 0 and y should be 20.
What are nonnegative numbers?Nonnegative numbers are numbers which are greater than or equal to zero.
How to calculate the largest and smallest values based on the conditions?For a much straightforward and easy way of solving such questions we can simply use the trial and error method.
For part (a), we can start off by taking both the numbers as 10. The sum of their squares will now be 100. If we take the numbers as 12 and 8, the sum of their squares will be 208. As we can see by increase one of the numbers we get a larger result. Thus, the largest possible values will be 20 and 0, which will give a result of 400. While carrying out this trial and error method we also found out that the minimum result was obtained when both the numbers were 10.
For part (b), a similar approach can be taken. Through trial and error method we observe that 20 + (0)^1/2 gives the largest possible result, whereas 0 + (20)^1/2 gives the smallest possible result.
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The graph shows the density of a substance. Find the density in grams per milliliter.
Answer:
2 grams per millimeter
Step-by-step explanation:
the point (2,1) shows us this.
How do you express .13 as a percentage?
.13 can be expressed in the form of percentage as 13%.
In order to convert numbers in decimal into percentage we only need to multiply the given number with 100 and after multiplying the number with hundred it can be written in percentage form. Like in the question given number is 0.13 and we need to express this in form of percentage. So in order to express this number in percentage we just multiply it with 100 which will be equal to 13% i.e
0.13 x 100 = 13%
By multiplying a decimal value by 100 and adding the percentage (%) sign, you can turn a decimal value into a percentage. A decimal multiplied moves the decimal point two places to the right.
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Of the markets in a certain city, 43/50 offered customers a salad bar in 1997
The given fraction in percentage is 86%.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
percentage, a relative value indicating the hundredth parts of any quantity. We must divide the amount by the sum to get the percentage, then multiply the result by 100.
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 of 100 questions correctly on a test (75/100).
To get the percentage, multiply the given fraction by 100.
(43/50)*100= 86%
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Question: Rewrite the fraction in the sentence below as a percentage.
a committee of six people (four men and two women) need to select a chairman and secretary. they do so by drawing names from a hat. what are the probabilities that
The probability that they all are women is 0.0333 and that two of them are men is 0.50
There are 6 men and 4 women in your committee, that gives you a total of 10 people to choose from.
Without restrictions, there's a total of 10C3 ways to choose a subcommittee of 3 people.
a) A subcomitte of 3 people consisting of all women can be chosen in 6C0*4C3 ways.
So, the probability for the first problem is 6C0*4C3/10C3 = 0.0333
b) A subcommittee consisting of 2 men and 1 woman can be chosen in 6C2*4C1 ways.
So, the probability for this problem is 6C2*4C1/10C3 = 0.50.
Therefore, the probability that they all are women is 0.0333 and that two of them are men is 0.50.
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Disclaimer
the question given by you is incomplete, the answer is solved as per a similar question and the question is
A committee consist of six men and four women. A subcommittee is made by randomly choosing three of the committee members. What is the probability that: a. they are all women b. two of them are men?
Determine whether each statement is true or false. 7<5 or 3>1.
the first statement is false, and the 2nd statement is true.
what refers to < and > sign?the sign > indicates it is greater than the next value and the sign < indicates it is less than the next value.
why < and > are used in mathematics?In mathematics the above signs are used to compare two mathematical expressions.
7<5 cannot be possible as positive 7 is always greater than positive 5
in the next positive 3 is greater than positive 1 so it is true.
hence, 7<5 is false and 3>1 is true.
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How do you find the nth term of the sequence 2,4,16,256,... ?
The [tex]n^{th[/tex] term of an exponentially increasing sequence can be found using the formula:
[tex]a_n = a_1[/tex] × [tex]r^(^n^-^1^)[/tex]
To find the [tex]n^{th[/tex] term of a sequence, you can use a formula that defines the relationship between the terms of the sequence. In this particular sequence, the terms seem to be increasing exponentially, with each term being the square of the previous term.
The [tex]n^{th[/tex] term of an exponentially increasing sequence can be found using the formula:
[tex]a_n = a_1[/tex] × [tex]r^(^n^-^1^)[/tex]
where [tex]a_n[/tex] is the nth term of the sequence, [tex]a_1[/tex] is the first term of the sequence, and r is the common ratio.
In this case, the first term is 2, and the common ratio is the previous term divided by the term before it. In this sequence, the common ratio is [tex]\frac{4}2=2[/tex]
Therefore, the [tex]n^{th}[/tex] term of the sequence can be found using the following formula:
[tex]a_n = 2[/tex] × [tex]2^{(n-1)[/tex]
So to find the [tex]n^{th[/tex] term, you would plug in the value of n into the formula. For example, to find the fifth term of the sequence, you would plug in 5 for n:
[tex]a_5 = 2[/tex] × [tex]2^{(5-1)[/tex]
= 2 × [tex]2^4[/tex]
= 2 × 16 = 32
So the fifth term of the sequence is 32
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after gathering data on the effectiveness of company meetings, you decide to conduct a survey to obtain measurable qualitative and quantitative feedback. you will mail a survey to several companies. what are some disadvantages to using this type of data collection? check all that apply.
There are some disadvantages to using this type of data collection is:
Respondents may exaggerate or distort facts.Response rates may be low.Respondents may not represent an accurate population sample."Information available from the question"
In the question:
After gathering data on the effectiveness of company meetings, you decide to conduct a survey to obtain measurable qualitative and quantitative feedback. you will mail a survey to several companies.
To write the disadvantages to using this type of data collection.
Now, According to the question:
There are some disadvantages to using this type of data collection is:
Respondents may exaggerate or distort facts.Response rates may be low.Respondents may not represent an accurate population sample.Learn more about Disadvantage at:
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SHOW WORK FOR BRAINLIST DUE TODAY
The graph of Stewart's assignment added as an attachment
How to draw the graph of the scenario?From the question, we have the following parameters that can be used in our computation:
Number of assignments = 36
Rate of assignment per day = 4
This means that the equation of the scenario is
Number of assignments remaining = Initial number of assignments - Rate of assignment per day * Number of days
Represent the number of assignments remaining with y and the number of days with x
So, we have the following representation
y = Initial number of assignments - Rate of assignment per day * x
Substitute the known values in the above equation, so, we have the following representation
y = 36 - 4 * x
Evaluate the products
y = 36 - 4x
So, the equation is y = 36 - 4x and the graph is added as an attachment
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researchers investigated whether higher chocolate consumption leads to higher body mass in humans. they analyzed the data using chocolate consumption as the explanatory variable and body mass index as the response; a high bmi typically indicates an overweight person. the slope of the fitted regression line was -0.168, with a standard error of 0.046 and a p-value of 0.003. do these results indicate that people who eat more chocolate have a higher bmi?
No, these results indicate that people who eat more chocolate have a lower body mass index (BMI). The negative slope of -0.168 means that as chocolate consumption increases, BMI decreases. The significant p-value of 0.003 indicates that the results are statistically significant and not due to chance.
What does a variable mean?In a mathematics problem or experiment, a variable is a quantity that can change. To indicate a variable, we often use a single letter. Generic symbols used frequently for variables include the letters x, y, and z.
What is a math example with variables?In mathematics, a variable is an alphabet or phrase that denotes an unknowable quantity, unknowable value, or unknowable number. In the case of algebraic expressions or algebra, the variables are employed specifically. For instance, the linear equation x+9=4 has 9 and 4 as constants and x as a variable.
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queuing system a has a utilization of 80 percent, and queuing system b has a utilization of 90 percent. both have a single server. say the utilization of both systems increases by 5 percent; that is, a increases from 80 percent to 85 percent while b increases from 90 percent to 95 percent. which system is likely to experience the bigger change in the average time in queue?
For queuing system B, the average time in queue ids going to change significantly as a result of increased utilization.
This is because queuing system B is initially heavily loaded and has less capacity to handle more requests. As a result, an increase in utilization can cause a significant increase in average queue latency on system B compared to system A.
Average Queue Time is a measure of the time a customer or request spends being processed by a server. It is affected by several factors such as server load, customer or request arrival rate, and server service rate. As the load on the queuing system increases, it means that the server is being used more frequently and is no longer available to process incoming requests. This will increase the average time in the queue as more requests accumulate and have to wait to be processed. The greater the increase in occupancy, the greater the impact on average latency.
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I RLLY NEED HELP PLA NOWWW
The surface area of the pyramid is 41. 29 In²
How to determine the surface areaThe formula for determining surface area of a square pyramid is expressed as;
Surface area = a² + 2a [tex]\sqrt{\frac{a^2}{4 } + h^2[/tex]
Where;
a is the base of the pyramidh is the height of the pyramidSubstitute the values
Surface area = [tex]4^2 + 2(4) \sqrt{\frac{4^2}{4} } + 6[/tex]
Find the squares
Surface area = [tex]16 + 8 \sqrt{\frac{16}{4} + 6 }[/tex]
Divide the values
Surface area = 16 + 8√10
Surface area = 16 + 8(31.16)
expand the bracket
Surface area = 16 + 25. 29
Surface area = 41. 29 In²
Hence, the value is 41. 29 In²
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2x34x56
im in -8ht garde and me no know multipcacion pls hulp
Answer:
Step-by-step explanation:
3,808
Answer: 3808
Step-by-step explanation:
2 times 34 = 68
68 times 56 = 3808
Answer is 3808
Undergraduates
Graduates
Total
University Data
Receiving
Financial Aid
4222
1879
6101
Not Receiving
Financial Aid
3898
731
4629
Total
8120
2610
10730
If a student is selected at random, what is the
probability that the student receives aid
(rounded to the nearest percent)? [? ]%
Step-by-step explanation:
a probability is always the ratio
desired cases / totally possible cases
in our case the desired cases are all students with financial aid : 6101
and the totally possible cases are 10730.
so, the probability to pick a student at random, who receives financial aid is
6101 / 10730 = 0.568592731... = 56.8592731...% ≈
≈ 57%
A theater seats 500 people. Each adult ticket, a, sells for $7.50, and each student ticket, s, for $4.50. On a Friday evening, every seat was filled, and the theater made $3,150 in ticket sales. Which system of equations could be used to find the number of adult and student tickets sold on Friday evening?
a + s = 3,150
7.5a + 4.5s = 3,150
a + s = 500
7.5a + 4.5s = 3,150
a + s = 3,150
7.5s + 4.5a = 500
a + s = 500
7.5a + 4.5s = 500
Answer:
The two equations that can be used are 7.50a + 4.50s = 3150, and
a + s = 500.
----------------------
a + s = 3,150 NO
7.5a + 4.5s = 3,150 YES
a + s = 500 YES
7.5s + 4.5a = 500 NO
Step-by-step explanation:
We know that a + s = 500.
Total sales would be the product of the number of adult and student tickets times their repsective prices:
Total Sales ($) = $7.50a + $4.50s = $3150
Leaving off the units for the next steps, we have two equations and we can rearrange one of them to substitute into the other.
1) Rearrange the first equation to isolate a: a = 500-s
Now use this definition of a in the second equation:
7.50a + 4.50s = 3150
7.50(500-s) + 4.50s = 3150
3750 - 7.5s + 4.50s = 3150
-3s = -600
s = 200 student tickets were sold
Use a+s=500 to find a:
a+200 = 500
a=300 300 adult tickets were sold.
================
The two equations we used to find this answer were:
7.50a + 4.50s = 3150, and
a + s = 500
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
-3
Step-by-step explanation:
5 + ( -8 )
-8 - 5 = -3
so final answer: -3 because ( - 8 ) so the ( - ) would go on the answer
Answer: -3
Step-by-step explanation: It would be -3 because since we are adding a negative it would go toward the negative side. Also, it can be modeled as:
5 - 8
This would still = -3.
consider the curve defined by y2=x3−3x 3 for x>0. at what value of x does the curve have a horizontal tangent?
At x = 0 and x = 2, the curve defined by y² = x³ - 3x² has a horizontal tangent.
We have,
First, let's find the derivative of y with respect to x.
We can rewrite the equation as:
y² = x³ - 3x²
y = (x³ - 3x²)^(1/2)
Now, differentiating y with respect to x using the chain rule:
dy/dx = (1/2) * (x³ - 3x²)^(-1/2) * (3x² - 6x)
Next, we set the derivative equal to 0 to find the values of x where the curve has a horizontal tangent:
(1/2) * (x³ - 3x²)^(-1/2) * (3x² - 6x) = 0
We can disregard the constant factor of (1/2) since it doesn't affect the solution.
Thus, we have:
(x³ - 3x²)^(-1/2) * (3x² - 6x) = 0
To have a horizontal tangent, the slope of the curve should be 0, which means the derivative is equal to 0.
Now, we have two factors to consider:
(x³ - 3x²)^(-1/2) = 0, which means the expression inside the parentheses is equal to 0. However, this does not yield a real solution.
(3x² - 6x) = 0, which means the quadratic term equals 0.
Solving this quadratic equation:
3x² - 6x = 0
3x(x - 2) = 0
This equation has two solutions: x = 0 and x = 2.
Therefore,
At x = 0 and x = 2, the curve defined by y² = x³ - 3x² has a horizontal tangent.
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Free Fall on Mars The equation for free fall at the surface of Mars is s=1.86 with t in seconds. Assume a rock is dropped from the top of a 200−m cliff. Find the speed of the rock at t=1sec
S=1.86 with t in seconds is the equation for free fall at the surface of Mars. The rock's speed at time zero is 3.72 m/s.
By differentiating the position function with respect to time, it is possible to determine the velocity or rate of change of a moving object's position with respect to time. The absolute value of the velocity is the same as the speed.
The rock's travel distance (s) is given as a function of time (t).
[tex]\lim_{h \to \0}o\\s'(t)= \frac{1.86(t th)^{2}-1.86t^{2} }{h} \\= \frac{1.86t^{2}+3.72th+1.86h^{2-1.86t^{2} } }{h} \\[/tex]
[tex]\lim_{h \to \0} o[/tex] → [tex]3.72t+1.86h[/tex] → [tex]3.72(1)\\[/tex] [tex]= 3.72 m/s[/tex]
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Calculate 7/12 + 4/20 - 2/6
Answer:
9/20 or 0.45
Step-by-step explanation:
The least common multiple of 12, 20 and 6 is 60. Reducing the fractions to the denominator 60 we have:
[tex] \bold{ \dfrac{7}{12} + \dfrac{4}{20} - \dfrac{2}{6} = \dfrac{35}{60} + \dfrac{12}{60} - \dfrac{20}{60} } \\ \\ \bold{= \frac{35 + 12 - 20}{60} = \frac{27}{60} = \frac{9}{20} }[/tex]
If any addend is an integer, an I is placed as denominator and the same operation is done.
What is the additive inverse of the polynomial -6x^3 +4x^2 -4
6x³ -4x² +4 is the additive inverse of polynomial -6x³ +4x² -4
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is -6x³ +4x² -4
Polynomial is minus six x cube plus four x square minus four.
Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.
6x³ -4x² +4 is the additive inverse of -6x³ +4x² -4
because -6x³ +4x² -4+6x³ -4x² +4=0
Hence, 6x³ -4x² +4 is the additive inverse of polynomial -6x³ +4x² -4
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If a water faucet drips at a rate of one drip per minute and a drip from a faucet is ¼ mL, how many ounces of water would be wasted in one day?
The number of ounces of water that would be wasted in one day is 12.173 ounces.
What is a ratio and proportion?An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 40% are girls, and 14% are boys. The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.
Given,
The faucet drips per every minute.
1 min -------1/4 ml
for 60 min -----?
x=(1/4)×60
x=15 ml
For one day,
15 ml×24 hours=360 ml
Therefore, 360 ml=12.173 ounces.
Hence, the number of ounces of water that would be wasted in one day is 12.173 ounces.
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a digit is written to the right of the units digit of $757$. if the resulting four-digit number is divisible by $3$, how many possibilities are there for the digit that was written?
3, possibilities are there for the digit that was written.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
Not a multiple of 3, 7+5+7+0=19
Not a multiple of 3, 7+5+7+1=20
Multiple of three: 7+5+7+7+2=21
Not a multiple of 3, 7+5+7+3=22
Not a multiple of 3, 7+5+7+4=23
Multiple of three: 7+5+7+7+5=24
Not a multiple of 3, 7+5+7+6=25
Not a multiple of 3, 7+5+7+7=26
7+5+7+8=27 multiple of 3
Not a multiple of 3, 7+5+7+9=28
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Please help, giving thanks and brainliest:) (Please give an explanation if possible and please dont give a fake answer)
Please answer all four questions (they are simple and go with the diagram)
(1) The measure of the angle CFD = 48°.
(2) The measure of the angle AFE = 48°.
(3) Pair of supplementary angles: Angle BFC and angle CFD.
(4) Pair of adjacent angles: Angle AFB and angle BFD.
What are the properties of angles?
The angle properties of lines are:
Vertically opposite angles are equal, for example, a = d, b = c.
Adjacent angles add to 180, for example, a + b = 180, a + c = 180. Corresponding angles are equal, for example, a = e, b = f, c = g, d= h.
(2) In the given figure, m∠BFC = 42°
By using the property of linear pair, we can write
∠BFC + ∠CFD = 180
42 + ∠CFD = 180
∠CFD = 58.
(2) Angle CFD and angle AFE are opposite angles and opposite angles are same in measurement so we can write
m∠AFE = 58°.
(3) Pair of supplementary angles: Angle BFC and angle CFD.
(4) Pair of adjacent angles: Angle AFB and angle BFD.
Hence,
(1) The measure of the angle CFD = 48°.
(2) The measure of the angle AFE = 48°.
(3) Pair of supplementary angles: Angle BFC and angle CFD.
(4) Pair of adjacent angles: Angle AFB and angle BFD.
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Using a variable, write an inequality to represent the solution shown on the graph below.
Answer: [tex]x\leq -1[/tex]
Step-by-step explanation: The closed point indicates that it can be equal to that number. The arrow is going back on the number line, meaning it is going to be less. Thus, it is less than or equal to -1.
two circles have the same center $c.$ (circles which have the same center are called concentric.) the larger circle has radius $10$ and the smaller circle has radius $6.$ determine the area of the ring between these two circles.
The area of the ring between these two circles if the radius of the larger and the smaller circle is 10 and 6 is 200.96.
Given:
two circles have the same center $c.$
the larger circle has radius $10$
and the smaller circle has radius $6.$
we are asked to determine the the area of the ring between these two circles.
⇒ Area of the ring = Area of larger circle - area of smaller circle
⇒ Area of circle = πr²
⇒ Area of larger circle = π(10)²
= 100π
⇒ Area of small circle = π(6)²
= 36π
Area of the ring = Area of larger circle - area of smaller circle
Area of the ring = 100π - 36π
= 64π
= 200.96
Hence the area of the ring is 200.96
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