The radius of the inner circle of a tile pattern shown is x inches. Write a polynomial in standard form to represent the area of the space between the inner and outer circle.
Answers
Answer:
Area of a circle:
[tex]A=\pi r^2[/tex] (where r is the radius)
Area of largest (outer) circle:
[tex]\implies A=\pi (x+6)^2[/tex]
Area of inner circle:
[tex]\implies A=\pi x^2[/tex]
Area of space between the inner and outer circle:
[tex]\implies \pi (x+6)^2-\pi x^2[/tex]
[tex]\implies \pi [(x+6)^2- x^2][/tex]
[tex]\implies \pi (x^2+12x+36- x^2)[/tex]
[tex]\implies 12\pi x+36\pi[/tex]
Factored:
[tex]\implies 12\pi (x+3)[/tex]
Related Questions
Narne:
Solve the inequality and graph
1.
X + 8 < -12
Solution
Graph: ------->
How do I solve one step inequality’s
Answers
Answer:
[tex]x < -20[/tex]
Step-by-step explanation:
Given the following question:
[tex]x+8 < -12[/tex]
In order to solve one step inequalities, we solve how we would normally solve a one-step equation and then graph the answer on a number line.
[tex]x+8 < -12[/tex]
[tex]8-8=0[/tex]
[tex]-12-8=-20[/tex]
[tex]x < -20[/tex]
Now to graph the inequality on a number line, keep a few things in mind:
. x is less than -20 which means the line would go the opposite way of the negative 20.
. < is a greater than sign, not a greater than or equal sign (≤) so the number line will have a open point.
. The number line will have a point on -20.
Hope this helps.
Xavier needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4. 5 hours and charged him $155 for parts. The total was $357. 50. Write and solve an equation which can be used to determine xx, the cost of the labor per hour. ?
Answers
Answer:
The cost is $45 per hour.
Step-by-step explanation:
(h = hours)
1. The equation is 4.5h + 155 = 357.5.
2. Subtract 155 from both sides of the equal sign. The equation is 4.5h = 202.5.
3. Divide both sides by 4.5. The answer is h = 45.
3.) MULTIPLE CHOICE: In 1983 a locally-owned car company sold 2,673 cars. In 2006, the car sales
rose to 4,194. What was the average rate of change for the total number of cars sold?
B.) approximately 15 cars per year
A.)3,434 cars per year
D.) 1,521 cars per year
C.) approximately 66 cars per year
Answers
Answer:
C) approximately 66 cars per year
Step-by-step explanation:
From 1983 to 2006, that is 2006 - 1983 = 23 (years).
The car sales rose from 2673 to 4194, that is 4194 - 2673 = 1521 (cars)
So the average rate of change is : 1521 : 23 = approx. 66 cars per year
:D hope it helps
Find the slope of the graph.
Answers
Answer:
[tex] \frac{9}{4} [/tex]
Step-by-step explanation:
slope = rise / run
slope = 9 / 4
Find the values of the variables
Answers
In a triangle, the 3 angles add up to 180 degrees
=> Value of x = 180 - 62 - 15 = 103
y is supplementary to x (y + x = 180), so the value of y = 180 - 103 = 77
z = 180 - 60 - 77 = 43
Select the correct answer from each drop-down menu.
Complete the sentences with the correct spelling of the missing words.
John found a stray cat in The cat looked hungry and sad, so John decided to feed the cat. He brought her home and fed her some milk. The milk the cat’s thirst. The cat seemed very after that
Answers
John found a stray cat in the alley. The cat looked hungry and sad, so John decided to feed the cat. He brought her home and fed her some milk. The milk quenched the cat’s thirst. The cat seemed very tranquil after that.
What is the meaning of alley, quenched and tranquil?Tranquil is an adjective that means that someone or something is peaceful or calm. Quenched is a verb which means to satisfy one's thirst by drinking something. It is the past tense of quench. Alley is a noun which means a long and narrow passageway.
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Factor
10x5 +5x2 -15
5 (225 + x2 – 3)
10 (225 + 5x2 – 15)
5 (2005 + 5x2 – 15)
5x2 (2x3 + x - 3)
Answers
Step-by-step explanation:
I hope this helps.........
Jessica has 12. 7 moles of a compound for an experiment. How many particles of the compound does she have? A. 2. 11 × 1023 B. 4. 74 × 1023 C. 7. 65 × 1023 D. 4. 74 × 1024 E. 7. 65 × 1024.
Answers
The number of particles the compound consists of is 7.65 × 10²⁴.
It is given that
Number of moles n = 12.7
As we know the formula for the number of particles:
N=n× Nₐ
Where Nₐ is Avogadro's Number, n is the number of moles.
What is Avogadro's Number?Avogadro's Number is the number of units in one mole of any substance (defined as its molecular weight in grams), equal to 6.02214076 × 10²³.
So, the number of particles:
N= 12.7 × 6.02214076 × 10²³.
N=7.65 × 10²⁴
Therefore, the number of particles the compound consists of is 7.65 × 10²⁴.
To get more about the Avogadro's number refer to the link,
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Please help me anwser these questions. No URLS
Answers
Answer:
$6400 at 13%, $3600 at 10.5%82 hot dogs and 91 hamburgersStep-by-step explanation:
These are variations of a "mixture problem." A reasonable approach to the solution is to choose a variable to represent the quantity of the item contributing most to the mix. Then the quantity of the other item is the difference from the total quantity and the variable value. The equation you write will add up the values of the different quantities to get the total value.
__
1.Let x represent the amount invested at 13%. Then 10000-x is the amount invested at 10.5%, and the total interest earned is ...
0.13x +0.105(10000 -x) = 1210
0.025x +1050 = 1210 . . . . . eliminate parentheses
0.025x = 160 . . . . . . . . . subtract the constant on the left
x = 6400 . . . . . . . . . . divide by the coefficient of the variable
10000 -x = 3600
Anthony invested $6400 at 13% and $3600 at 10.5%.
__
2.Let x represent the number of burgers sold. Then the number of hot dogs sold is 173-x, and the total revenue is ...
3x +2(173 -x) = 437
x +346 = 437 . . . . . . . . . eliminate parentheses
x = 91 . . . . . . . . . . . . subtract the constant on the left
173 -x = 82
82 hot dogs and 91 hamburgers were sold.
_____
Additional comment
You can solve these by writing two equations in two unknowns. You would let the variables represent the quantities of the two contributors. You would have one equation for the total quantity, and another equation for the total value.
These equations can be solved in any of the usual ways. If you solve by "substitution," where you substitute for the quantity of lower value, the equation you have as a result will match the equation described above.
The reason for keeping the variable representing the larger contributor is that its coefficient ends up positive as the solution progresses. That tends to make the arithmetic a little simpler and to reduce errors.
Find the value of x.
W
Z
35°
4x + 7°
Х
Y
Answers
classify polynomials by the degree x2+3x–10
Answers
Answer:
A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.
A binomial has two terms. For example: 5x2 -4x
A trinomial has three terms. For example: 3y2+5y-2
Step-by-step explanation:
will mark brainlyest
Answers
Answer: Angles 4 and 5
Step-by-step explanation:
Supplementary angles are angles that add up to 180. The only angle pairs the add up to 180 (you can tell by seeing if two angles are the only two on a straight line) are angles 4 and 5, and angles 3 and 4. Angles 3 and 4 isn’t an option, so it’s 4 and 5.
Answer:
i believe that its angle 4 and 5 since they would sum up to 180 degrees
Step-by-step explanation:
Complete the equation that involves multiplication contains the variable x, and has a solution of 7.
x = 56
Enter another equation that has the same solution and includes the same variable and numbers but uses division.
Answers
Answer:
56 divided by 8
Step-by-step explanation:
7 times 8 equals 56
therefore 56 divided by 8 equals 7 ANSWER
and 56 divided by 7 is 8
Fact families
Emil would like to estimate the probability of 2 or more heads coming up in 3 coin flips. To do this, he has a computer randomly select 0 or 1 three times, with 0 representing heads and 1 representing tails. The results of 12 trials are shown in the table. 111 011 000 010 100 111 010 111 111 101 000 111 What is Emil's estimated probability, based on this simulation? Enter your answer as a fraction, in simplified form, in the box.
Answers
Probability helps us to know the chances of an event occurring. Emil's estimated probability, based on this simulation is 0.4167.
What is Probability?
The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As it is given that if the output of the computer is 1, then it represents tails, while the 0 represents the head. Also, the results of 12 trials are 111, 011, 000, 010, 100, 111, 010, 111, 111, 101, 000, 111.
Now, in the set of results, we need to calculate the number of results in which the outcome is 2 or more heads, therefore, we need the output that has 2 or more zeroes in it.
Results with 2 or more zeroes are 000, 010, 100, 010, 000
The number of results with 2 or more zeroes is 5.
The total number of possible results is 12.
The probability That Emil will get 2 or more heads can be written as,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability(2\ or\ more\ zero) = \dfrac{\text{Number of results with 2 or more zeroes }}{\text{Total number of possible results }}[/tex]
[tex]\rm Probability(2\ or\ more\ zero) = \dfrac{5}{12} = 0.4167 = 41.67\%[/tex]
Hence, Emil's estimated probability, based on this simulation is 0.4167.
Learn more about Probability:
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If Abcd is a parallelogram find m
Answers
I'm unsure on how to figure out what "X" is..?
X/2 = 6/3
Answers
6/2a = 3/a. Let a = 2+1.
if u send me a link key why ess
Use system of equations to solve it
A farmer who keeps goats and chickens boasted to another:
I have animals in the yard with 120 legs and only 37 heads. How many goats and how many chickens did he have?
its urgent
Answers
Answer:
Step-by-step explanation:
chickens x
goats y
4x+ 2y=120 2y=120-4x/ 2 y= 60- 2x
x+y= 37 x+y=37 x+ 60- 2x= 37
y= 60-2x
x= 23
y= 60 - 2*23 y= 14
x= 23 x=23
Find 3 3/4+1 2/3 in the simplest form
Answers
Step-by-step explanation:
3¾+ 1⅔ = [ 3+1] +( ¾ +⅔)= 4+( 9/12 + 8/12)
= 4 ¹⁷/12 (θ‿θ)Solve for zzz.
Assume the equation has a solution for zzz.
-p\cdot(d+z) = -2z+59−p⋅(d+z)=−2z+59
Answers
The solution to the given algebraic equation is [tex]\mathbf{z = \dfrac{59+pd}{(p+2)}}[/tex]
Solving algebraic equations:Algebraic equations are mathematical expressions with variables, coefficients, and arithmetic operations. To solve algebraic expressions with two or more variables, the required variable to be solved must be the subject of the formula:
From the given information, we have:
[tex]\mathbf{-p\cdot(d+z) = -2z+59}[/tex]
So, the first step in solving this algebraic is to open the bracket.-pd +pz = -2z + 59
Collect like termspz + 2z = 59 + pd
Factorize the left-hand side of the equationz(p+2) = 59 + pd
Make (z) the subject of the formula:[tex]\mathbf{z = \dfrac{59+pd}{(p+2)}}[/tex]
Learn more about solving algebraic equations here:
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Casey's mom pays her $5.50 per hour for doing chores around the house. The graph shows how much money she can earn by doing chores. How long will Casey have to work in order to earn $13.75?
Answers
Answer:
2.5 hours
Step-by-step explanation:
If u times 5.50 x 2.5 = 13.75
So 2.5 hours is basically 2h 30min
Need help finding the measure of the arc or angle indicated
Answers
Answer:
70 degrees
Step-by-step explanation:
Cody found the sum of the exterior angles to be 380°. Did Cody make an error? If so describe it. No, Cody did not make an error. The sum of the exterior angles of a triangle should be 380°. Yes, Cody made an error adding the three exterior angles together. Yes, Cody made an error drawing the exterior angles. The 145° angle is not an exterior angle. Yes, Cody made an error drawing the exterior angles. The 100° angle is not an exterior angle.
Answers
Answer:
the answer is C.
Step-by-step explanation:
Answer C.
For each value of x, determine whether it is a solution to -20 > 3x+7.
Answers
Answer:
53
Step-by-step explanation:
3x+7
3 • (-20)+7
-60+7 = 53
You're welcome !
Could anyone find the answer for this?
Answers
Answer:
63cm
3 x 21 = 63
Answer: 63 cm
Step-by-step explanation: For every one cm deep, there is a further scale of 21 cm more. If the pond is 3 cm deep, then the scale would be 21 * 3, which is equivalent to 63.
I need help with solving this bisector
Answers
Answer:y = 5. y = 5
Step-by-step explanation:
What is the value of x in the triangle?
Answers
Answer: C
Using 45-45-90 triangle theorem
PLEASE!! SOLVE FOR X
Answers
Answer: x = 1.408
Step-by-step explanation:
We can first start by cross multiplying:
7.5x*5 = 4.8*11
We can now evaluate the decimals:
37.5x = 52.8
Now we can divide both sides by 37.5:
x = 1.408
Which table represents a function?
Answers
Jadon has 4 feet of ribbon to decorate pockets. He needs 1/3 foot of ribbon to decorate each pocket. How many pockets will jadon be able to decorate?.
Answers
Answer:
4 feet of ribbon ÷ 1/3 foot riboon = 12 pockets
Questions 5)
Scientists estimate that a single atom is 10
-10
meters
across, while a proton is 10-15
meters across. Which
is larger and how much larger is it?
A) Atom
B) Proton
Answers
Answer:
the answer is for the question you are asking is A) Atom
