Answers
Answer:
A
Step-by-step explanation:
A is correct. This absolute value is the distance (unsigned) between -2/3 and +5/3, which is 7/3. Note that This distance is | 5/3 - (-2/3) |, or 7/3.
Related Questions
How do I rewrite this in vertex form?
Y=2x^2-8x+9
Answers
Complete the square on the right side of the equation
2(x-2)^2+1
A discount bookstore sells hardcover books for $12 and paperback books for $6. The number of hardcover books, x, sold one day was twice the number of paperback books, y, sold the same day. The total sales that day were $180.
1.What is the system of equations that represents this situation?
2.What is the solution to the system and what does it represent in the context of this situation? Show your work.
Answers
Answer:
Part 1) The system of equations that represent this situation is
[tex]12x+6y=180[/tex] and [tex]x=2y[/tex]
Part 2) The number of hardcover books sold was [tex]12[/tex] and the number of paperback books sold was [tex]6[/tex]
Step-by-step explanation:
Part 1) What is the system of equations that represents this situation?
Let
x----> number of hardcover books sold
y----> number of paperback books sold
we know that
The system of equations that represent this situation is equal to
[tex]12x+6y=180[/tex] -----> equation A
[tex]x=2y[/tex] -----> equation B
Part 2) What is the solution to the system and what does it represent in the context of this situation?
Substitute equation B in equation A and solve for y
[tex]12(2y)+6y=180[/tex]
[tex]24y+6y=180[/tex]
[tex]30y=180[/tex]
[tex]y=6[/tex]
Find the value of x
[tex]x=2y[/tex]
[tex]x=2(6)=12[/tex]
The solution of the system of equations is the point (12,6)
That means
The number of hardcover books sold was [tex]12[/tex]
The number of paperback books sold was [tex]6[/tex]
What’s the circumference of this shape?xx
Answers
The hypotenuse of the triangle would be the diameter of the semi circle.
Using the Pythagorean theorem you can find that.
8^2 + 6^2 = x^2
64 +36 = x^2
100 = x^2
x = √100
x = 10
The diameter is 10, now find the circumference.
Circumference = diameter x PI = 10 x 3.14 = 31.4
Since it is a semi circle, the circumference would be 1/2 of that.
31.4 / 2 = 15.7
The perimeter would be 8 + 6 + 15.7 = 29.7
Help please, what’s: 5x-7+2-2x=-26
Answers
Answer:
7
Let's solve your equation step-by-step.
5x−7+2−2x=−26
Step 1: Simplify both sides of the equation.
5x−7+2−2x=−26
5x+−7+2+−2x=−26
(5x+−2x)+(−7+2)=−26(Combine Like Terms)
3x+−5=−26
3x−5=−26
Step 2: Add 5 to both sides.
3x−5+5=−26+5
3x=−21
Step 3: Divide both sides by 3.
3x
3
=
−21
3
x=−7
Answer:
x=−7
Answer:
the solution is x = -7
Step-by-step explanation:
Collect terms:
x(5 -2) +(-7 +2) = -26
3x -5 = -26
Add 5 to get the variable term by itself:
3x = -21
Divide by the coefficient of the variable:
x = -7
____
The answer to, "what is it?" is that it is a linear equation in x. After you collect terms, it is what is referred to as a "two-step" linear equation, because it takes two steps to solve it: add 5, divide by 3.
two boxes contain the following pieces of chalk of the same size. 2 red, 1 yellow, 4 green, 3 white, and 2 blue pieces. If one piece of chalk will be randomly selected from each box, what is the probability that both pieces will be white? A.) 1/16 B.) 1/22 C.) 1/4 D.) 1/36
Answers
Answer:
1/4 would be your answer
Step-by-step explanation:
There are four other pieces (I think)
Answer:
Option A. [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Two boxes contains the following pieces of chalk of the same size.
Red = 2
Yellow = 1
Green = 4
White = 3
Blue = 2
Each box contains = 2 + 1 + 4 + 3 + 2 = 12 pieces of chalk of the same size.
There are total pieces of chalks are 12 and white chalks are 3 in each box.
If one piece of chalk will be randomly selected from each box.
The probability of first box that piece will be white = [tex]P_{1}=\frac{3}{12}[/tex]
The probability of second box = [tex]P_{2}=\frac{3}{12}[/tex]
Therefore, P = [tex]p_{1}[/tex] × [tex]p_{2}[/tex]
P = [tex]\frac{3}{12}[/tex] × [tex]\frac{3}{12}[/tex]
P = [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex]
P = [tex]\frac{1}{16}[/tex]
The probability that both pieces will be white is [tex]\frac{1}{16}[/tex] .
find the sales tax only. $199.95 ipod; 9% tax
Answers
the sales tax is close to 217.94
Answer:17.9955
Step-by-step explanation:
199.95 * 0.09 = 17.9955
when ever you want to work out a % just multiple it by the % in decimal ie 10% = 0.1, 100% = 1.0, 9% =0.09
OR
if you want to work out what 9% is added on top of the price to total 199.95 you can you this
A1= gross amount
B1 = tax percentage
(A1/(100+B1)*100) = 183.440367 before the tax is added so the total tax at 9% = 16.509633
what is the answer??
Answers
Answer:
[tex]d(P,D)= \sqrt{41}\\d(P,D)=6.40312[/tex]
Step-by-step explanation:
We need to find the distance between the points P=(-2,3) and D(2,-2)
The formula used to find distance between points is:
[tex]d(P,D)= \sqrt{(x2-x1)^2 + (y2-y1)^2)}[/tex]
Here, x2 =2 and x1 = -2, y2=-2 and y1= 3
Putting values in formula
[tex]d(P,D)= \sqrt{(2-(-2))^2 + (-2-3)^2}\\d(P,D)= \sqrt{(2+2)^2 + (-2-3)^2}\\d(P,D)= \sqrt{(4)^2 + (-5)^2}\\d(P,D)= \sqrt{16 + 25}\\d(P,D)= \sqrt{41}\\d(P,D)=6.40312[/tex]
In ΔPQR, point C is the centroid. If CZ = 8, then QC =
A) 4
B) 8
C) 16
D) 24
Answers
Answer:
QC=16 this is correct on usa testprep
Step-by-step explanation:
The centroid of a triangle is the point of concurrency of the median lines of
the triangle.
The length of segment [tex]\overline{QC}[/tex] is C) 16
Reasons:
The given parameters are;
Point C = The centroid of ΔPQR
[tex]\overline{CZ}[/tex] = 8
Required:
The length of segment QC
Solution;
Given that point C is the centroid of the triangle ΔPQR, we have;
[tex]\overline{QC} = \dfrac{2}{3} \times \overline{QZ}[/tex]
[tex]\overline{CZ}= \dfrac{1}{3} \times \overline{QZ}[/tex]
Therefore;
[tex]\overline{CZ}= \dfrac{1}{2} \times \overline{QC}[/tex]
[tex]\overline{QC} = 2 \times \overline{CZ}[/tex]
[tex]\overline{QC} = 2 \times 8 = 16[/tex]
[tex]\underline{\overline{QC} = 16}[/tex]Learn more here:
https://brainly.com/question/1747484
Football helmets are made with padding that helps reduce head injuries when a player collides with an object. Which best explains how the padding reduces injuries? It extends the time of the collision. It reduces the time of the collision. It eliminates the reaction force of the object. It eliminates the action force of the object.
Answers
Answer:
It extends the time of the collision
Step-by-step explanation:
The correct option is : It extends the time of the collision.
The padding helmets have cushions inside it that moves inwards when a ball hits the helmets.
When the collision occurs, the time will increase and less force will be exerted on helmet that is why the impact of the collision will be less.
Answer:
A. It extends the time of the collision.
Step-by-step explanation:
the picture
simplify to create an equivalent expression.
−4(−11+4n)−3(−2n+9)
Answers
To simplify the expression −4(−11+4n)−3(−2n+9), you distribute the multiplication and then combine like terms to get the equivalent expression +17−10n.
Explanation:The student has asked to simplify the expression −4(−11+4n)−3(−2n+9). To simplify this expression, we need to distribute the numbers outside the parentheses across the terms inside the parentheses. We'll do this step by step.
Multiply −4 by −11 to get +44.Multiply −4 by +4n to get −16n.Multiply −3 by −2n to get +6n.Multiply −3 by +9 to get −27.Now combine like terms:
Add +44 and −27 to get +17.Add −16n and +6n to get −10n.So, the simplified equivalent expression is +17−10n.
the simplified and equivalent expression is 17 - 10n.
We need to simplify the expression:
[tex]-4(-11+4n)-3(-2n+9)[/tex]
To do this we need to open the brackets which gives us:
[tex]-4(-11+4n)-3(-2n+9) = 44 -16n + 6n -27[/tex]
Now we can solve the expression as follows:
[tex]-4(-11+4n)-3(-2n+9) = (44 - 27) + (-16n + 6n)\\\\ -4(-11+4n)-3(-2n+9) =17 - 10n[/tex]
So, the simplified and equivalent expression is 17 - 10n.
The diagram shows the dimensions of a triangular garden at the park. If another triangular garden is congruent to this triangle, what is the perimeter of the other garden?
Answers
Answer:
b 93
Step-by-step explanation:
Answer:
Step-by-step explanation:
Alright, lets gets started.
The dimensions of the given triangle is 24 , 52 and 17.
The another triangle is given congruent to this triangle.
It means the dimensions of another triangle will also be 24, 52 and 17.
So the perimeter will be addition of these sides.
Hence the perimeter will be = [tex]24+52+17[/tex]
Hence the perimeter will be = 93 feet : Answer
Hope it will help :)
What property justifies the work between Step 3 and Step 4?
A) Inverse property of addition
B) Identity property of addition
C) Addition property of inequality
D) Commutative property of addition
I’m awful at properties, please help asap ((:
Answers
I think it's B
[tex] - 11 \geqslant n + 0 \\ 1. \: - 11 \geqslant n \\ 2. \: n \leqslant - 11 \\ \\ - 11 \geqslant n \\ 1. \: n \leqslant - 11[/tex]
Answer:
The answer is B. Identity property of Addition
Step-by-step explanation:
A survey showed that 70% of students would select roller coasters as their favorite ride at an amusement park. Out of 5,000 students, predict how many would select roller coasters as their favorite ride?
Answers
Answer:
3,500
Step-by-step explanation:
70% is equal to 0.70.
When you need to find a percent of a population, you multiply the decimal form to the population.
Therefore, with 70% of 5000, you multuiply 5000 by 0.70 which will give you 3500.
3,500 students would select roller coasters as their favorite ride.
The answer to this question would be 3,500 students.
<Q and <R are complementary angles. If m<Q = (31 - 3x)° and m<R = (19x - 5)°, find m<R
Answers
31-3x+19x-5=90
26+16x=90
-26 -26
--------------------
16x= 64
16x/16= 64/16
x=4
m <R=19 (4)-5= 71.
Answer:
Step-by-step explanation:
90=(31-3x)+(19x-5)
90=31-3x+19x-590=19x-3x+31-5
90=16x+26
90-26=17x
64=4x
x=4
m∠R=19(4)-5
m∠R=76-5
m∠R=71
Rewrite the parametric equations by eliminating the parameter. Select ONE.
X = 2t + 3 and Y = t - 2
Answer Choices:
Y = 3x + 1
Y = x - 7 / 2
Y = x + 5
Y = x - 5 / 2
Answers
Answer:
[tex]Y=(X-7)/2[/tex]
Step-by-step explanation:
we have
[tex]X=2t+3[/tex] -----> equation A
[tex]Y=t-2[/tex] -----> [tex]t=Y+2[/tex] -----> equation B
Substitute equation B in equation A
[tex]X=2(Y+2)+3[/tex]
[tex]X=2Y+4+3[/tex]
[tex]X=2Y+7[/tex]
solve for Y
[tex]2Y=X-7[/tex]
[tex]Y=(X-7)/2[/tex]
Given the geometric sequence where a1=1 and the common ratio is 6 what is the domain for n
Answers
Answer:
Domain: [tex]n\ge1[/tex]
Step-by-step explanation:
For a geometric sequence, the n-th term is given by:
[tex]a_n=a_1r^{n-1}[/tex]
From the question, [tex]a_1=1[/tex] and [tex]r=6[/tex].
Hence the explicit formula for the sequence is:
[tex]a_n=6^{n-1}[/tex], where [tex]n\ge1[/tex]
Therefore the domain is natural numbers or positive integers.
generally, who sells goods to the consumers?
Answers
Answer:
Retailer
Step-by-step explanation:
A retailer buys goods from the manufactures and wholesalers and then sell these products directly to the consumers or users.In the supply chain retailers are the ones who connect with the customers to obtain information on goods and servicers delivered.
Which expression is the factorization of x2+10+21?
Answers
Answer:
(x + 3)(x + 7)
Step-by-step explanation:
Given
x² + 10x + 21
Consider the factors of the constant term (+ 21) which sum to give the coefficient of the x- term (+ 10)
The factors are + 3 and + 7, since
3 × 7 = 21 and 3 + 7 = 10, hence
x² + 10x + 21 = (x + 3)(x + 7)
Jenna walks 12 miles in 5 days. Alex walks 7 miles in 3 days. Who walks more miles per day?
Answers
Answer:
Alex walks more miles
Step-by-step explanation:
Answer:
Jenna walks more miles per day
Step-by-step explanation:
i got this answer by doing 12 divided by 5 = 2.4 and 7 divided by 3 = 2.33333333333 and 2.4 is more that 2.33333333333 so Jenna walked futher,
i hope that this answer helped you, pls give me good votes if it did, because im new here and trying to get points.
what is 10ft/30 inches simplified?
Answers
Answer:
4 inches.
Step-by-step explanation:
Convert 10ft in to inches
10 ft = 120 inches
So, 10ft/30inches =120inches/30 inches
120÷30=4
The requried, 10 ft / 30 inches simplified is 4
To simplify the expression 10 ft / 30 inches, we need to convert the units to a common format. We can convert both feet and inches to inches to make the division easier.
1 foot is equal to 12 inches. So, 10 feet can be written as 10 * 12 = 120 inches.
Now we have 120 inches / 30 inches, which simplifies to:
120 inches / 30 inches = 4.
Therefore, 10 ft / 30 inches simplified is 4.
Learn more about simplification here:
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How do you simplify this?
Answers
the answer is 2yx^3/(2y^2)^3
What is the answer to this question??????
Answers
Answer:
The answer is A. F(x)=(X+3)^4
Step-by-step explanation:
1. Whenever the function is in parenthesis, the symbol does the opposite then it usually does. So for (X+3)^4, the + in the parenthesis shifts the graph to the left instead of right.
2. Also, when in parenthesis, function shifts horizontally, not vertically. So answers B and C would shift the graph up and down, instead of left or right.
Please feel free to ask me if you have more questions or concerns with this problem!
Answer:
A. F(x) = (x+3)⁴Step-by-step explanation:
f(x) + n - shift the graph n unit up
f(x) - n - shift the graph n unit down
f(x + n) - shift the graph n unit to the left
f(x - n) - shift the graph n unit to the right
=======================================================
F(x) ← G(x) shifted 3 units to the left
F(x) = G(x + 3) → F(x) = (x+3)⁴
Simplify 10+6/2+3
16/5
3
7
11/3
Answers
Step-by-step explanation:
[tex]\text{If}\ 10+\dfrac{6}{2}+3=10+3+3=16\\\\\text{If}\ \dfrac{10+6}{2+3}=\dfrac{16}{5}[/tex]
To simplify 10+6/2+3, we first perform the division operation (6 ÷ 2 = 3), and then carry out the addition operations in order (10 + 3 + 3), giving us a final result of 16.
Explanation:To simplify 10+6/2+3, we have to follow the order of operations as guided by the mnemonic PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). In the given expression, there are no parenthesis, exponents, so we proceed by carrying out division and then addition.
Step 1: Perform the division operation 6 ÷ 2 = 3.
Step 2: Simplify the expression by performing the addition operations in the order from left to right. So, 10 + 3 (from division) + 3= 16.
Therefore, the simplified form of the original expression is 16.
Learn more about Order of Operations here:https://brainly.com/question/15840745
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Solve and Explain.
(please!)
Answers
Answer:
x = 8.5
L = 17
W = 6.5
Step-by-step explanation:
P = 2*(L + W)
W = x - 2
L = 2x
P = 47
47 = 2 * (2x + x - 2)
47 = 2 * (3x - 2) Remove the brackets.
47 = 6x - 4 Add 4 to both sides.
47 + 4 = 6x - 4+4 Combine
51 = 6x Divide by 6
6x/6=51/6 Combine
x = 8 3/6 or 8.5
x = 8.5
========
L = 2*x
L = 2*8.5
L = 17
=====
W = x - 2
W = 8.5 - 2
W = 6.5
Answer:
x=8.5, length is 17, and width is 6.5
Step-by-step explanation:
To solve for x, you would add the two sides together, getting x-2+2x+3x-2. Now, you would multiply this figure by two, because you only have half of the perimeter as of now. (3x-2)*2+6x-4. Now, because the perimeter is 47, you have this equation
6x-4=47
Add four to both sides
6x=51
Divide by 6
x=51/6=8.5
Now, you would plug this into both of the other sides of the rectangle.
The length, or the longest side, measures 2x
2*8.5=17
The width, or the shorter side, measures x-2
8.5-2=6.5
Hope this helped
Which expression means 2 less than a number? p + 2 p – 2 2 × p 2 ÷ p
Answers
Answer:
p - 2
Step-by-step explanation:
"2 less than a number" would be n - 2. "Less than" implies subtraction. We are subtracting 2 from the unknown number n.
Answer:
p-2
Step-by-step explanation:
What is the value of pie and how can I round it to the nearest tenth
Answers
The Value of Pi is actually an infinite number and cannot be calculated. It is not a real number. Usually many just shorten Pi to the decimal 3.14, which it is most commonly used as since there is no exact decimal of Pi.
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632788659361533818279682303019520353018529689957736225994138912497217752834791315155748572424541506959508295331168617278558890750983817546374649393192550604009277016711390098488240128583616035637076601047101819429555961989467678374494482553797747268471040475346462080466842590694912933136770289891521047521620569660240580381501935112533824300355876402474964732639141992726042699227967823547816360093417216412199245863150302861829745557067498385054945885869269956909272107975093029553211653449872027559602364806654991198818347977535663698074265425278625518184175746728909777727938000816470600161452491921732172147723501414419735685481613611573525521334757418494684385233239073941433345477624168625189835694855620992192221842725502542568876717904946016534668049886272327917860857843838279679766814541009538837863609506800642251252051173929848960841284886269456042419652850222106611863067442786220391949450471237137869609563643719172874677646575739624138908658326459958133904780275900994657640789512694683983525957098258226205224894077267194782684826014769909026401363944374553050682034962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382686838689427741559918559252459539594310499725246808459872736446958486538367362226260991246080512438843904512441365497627807977156914359977001296160894416948685558484063534220722258284886481584560285060168427394522674676788952521385225499546667278239864565961163548862305774564980355936345681743241125150760694794510965960940252288797108931456691368672287489405601015033086179286809208747609178249385890097149096759852613655497818931297848216829989487226588048575640142704775551323796414515237462343645428584447952658678210511413547357395231134271661021359695362314429524849371871101457654035902799344037420073105785390621983874478084784896833214457138687519435064302184531910484810053706146806749192781911979399520614196634287544406437451237181921799983910159195618146751426912397489409071864942319615679452080951465502252316038819301420937621378559566389377870830390697920773467221825625996615014215030680384477345492026054146659252014974428507325186660021324340881907104863317346496514539057962685610055081066587969981635747363840525714591028970641401109712062804390397595156771577004203378699360072305587631763594218731251471205329281918261861258673215791984148488291644706095752706957220917567116722910981690915280173506712748583222871835209353965725121083579151369882091444210067510334671103141267111369908658516398315019701651511685171437657618351556508849099898599823873455283316355076479185358932261854896321329330898570642046752590709154814165498594616371802709819943099244889575712828905923233260972997120844335732654893823911932597463667305836041428138830320382490375898524374417029132765618093773444030707469211201913020330380197621101100449293215160842444859637669838952286847831235526582131449576857262433441893039686426243410773226978028073189154411010446823252716201052652272111660396
Pi is 3.14, and is an irrational number, meaning that it does not end and has no repetition of numbers in a row.
The area of the circle is calculated by multiplying pi by the radius.
3.14 * 10 = 314.16.
To round it to the nearest tenth, you must know whether the second decimal number is greater or less than 5. If it is 5 or greater, you round the first decimal up 1. If it is 4 or less, then you just remove the second decimal and keep the first one.
In this case, the answer would be approximately 314.2 because 6 is greater than 5, so you round up the 1 to a 2.
What is the simplest form 0f 2√2/√3-√2
Answers
Answer:
[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}=2\sqrt{6}+4[/tex]
Step-by-step explanation:
We have the expression:
[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex]
To simplify the expression multiply by the conjugate of the denominator.
The denominator is
[tex]\sqrt{3}-\sqrt{2}[/tex]
Then its conjugate is:
[tex]\sqrt{3}+\sqrt{2}[/tex]
Then:
[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}*\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}+\sqrt{2}}\\\\=\frac{2\sqrt{2}\sqrt{3}+2\sqrt{2}\sqrt{2}}{(\sqrt{3})^2-(\sqrt{2})^2}\\\\\frac{2\sqrt{6}+4}{3-2}}\\\\= \frac{2\sqrt{6}+4}{1}}=2\sqrt{6}+4[/tex]
Answer:
[tex]4+2\sqrt{6}[/tex]
Step-by-step explanation:
Given expression is [tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex].
Now we need to simplify this. So multiply and divide by conjugate of denominator.
[tex]\frac{2\sqrt{2}}{\sqrt{3}-\sqrt{2}}[/tex]
[tex]=\frac{2\sqrt{2}}{\left(\sqrt{3}-\sqrt{2}\right)}[/tex]
[tex]=\frac{2\sqrt{2}}{\left(\sqrt{3}-\sqrt{2}\right)}\cdot\frac{\left(\sqrt{3}+\sqrt{2}\right)}{\left(\sqrt{3}+\sqrt{2}\right)}[/tex]
[tex]=\frac{2\sqrt{6}+2\sqrt{4}}{\left(\sqrt{3}\right)^2-\left(\sqrt{2}\right)^2}[/tex]
[tex]=\frac{2\sqrt{6}+2\cdot2}{3-2}[/tex]
[tex]=\frac{2\sqrt{6}+4}{1}[/tex]
[tex]=2\sqrt{6}+4[/tex]
[tex]=4+2\sqrt{6}[/tex]
Hence final answer is [tex]4+2\sqrt{6}[/tex].
The perimeter of a regular pentagon with the side length of 4 meters
Answers
Answer:
20 Meters
Step-by-step explanation:
5 Sides a Pentagon has - with a length at 4 meters per side you have a perimeter of 20 meters.
volume of a cylinder with height of 7 and a radius of 3
Answers
Answer:
The volume of the cylinder is 63π or 197.9 units³
Step-by-step explanation:
* Lets revise how to find the volume of any cylinder
- The volume of the regular solid = area of the base × its height
- The cylinder has two circular bases
- The area of the circle = πr²
∴ The volume of the cylinder = πr² × its height
* Now lets take the dimensions of the cylinder from the problem
- The height of the cylinder is 7 units
- The radius of the cylinder is 3 units
∵ The volume of the cylinder = πr² × its height
∴ The volume = π × 3² × 7 = 63π = 197.9 units³
* The volume of the cylinder is 63π or 197.9 units³
Answer:
The volume of cylinder =197.82 units²
Step-by-step explanation:
Formula:-
Volume of cylinder = πr²h
Where r - Radius of cylinder and
h - Height of cylinder
To find the volume of cylinder
Here r = 3 units and h = 7 units
Volume = πr²h
= 3.14 * 3² * 7
= 3.14 * 9 * 7
= 197.82 units²
Therefore the volume of cylinder =197.82 units²
What is the cube root of 27a^12
Answers
ANSWER
[tex]3{a}^{4 } [/tex]
EXPLANATION
The cube root of
[tex]27 {a}^{12} [/tex]
is
[tex] \sqrt[3]{27 {a}^{12} } [/tex]
This is the same as:
[tex](27 {a}^{12} )^{ \frac{1}{3} } [/tex]
[tex]( {3}^{3} ({a}^{4})^{3} )^{ \frac{1}{3} } [/tex]
[tex] = (3{a}^{4} )^{3 \times \frac{1}{3} } [/tex]
[tex] = 3{a}^{4 } [/tex]