The data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9
When a measure is considered an outlier in a data-set?A measure is considered an outlier in a data-set if it is very far from other measures, especially in these two cases:
If the measure is considerably less than the second smallest value.If the measure is considerably more than the second highest value.In this problem, he data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9.
The second highest value is 5.3, which is considerably less than 22.6, hence 22.6 is an outlier in the data-set.
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x = 8, y = 11
The variables x and y vary inversely. Use the given values to write an equation relating x and y . Then find y when x=2.
[tex]y = \frac{1}{mx} [/tex]
[tex]11 = \frac{1}{8m} [/tex]
[tex]m = \frac{1}{88} [/tex]
[tex]y = \frac{1}{ \frac{1}{88}x } = \frac{88}{x} [/tex]
[tex]when \: x = 2 \\ y = \frac{88}{2} = 44[/tex]
what is the equation of the line containing the points (3,1) (9,3) and (27,9)
The equation of the line containing the points (3,1) (9,3) and (27,9) is y = 1 / 3x
How to find equation of a line?The equation of a line can be found as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
using (3,1) (9,3)
m = 3 - 1 / 9 - 3 = 2 / 6 = 1 / 3
using (3, 1)
1 = 1 / 3(3) + b
1 = 1 + b
b = 0
Therefore,
y = 1 / 3x
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You conduct a poll in which you randomly select 1000 registered voters from New York City and ask if they approve of the job their mayor is doing. The population for this study is
The population for this study is all registered voters from New York City.
What is the population for a study?
it is given that the poll has been carried out among 1000 registered voters from New York City. These 1000 people have been selected randomly from the population of the study.
The available study subset of the target population for a study, for instance, schizophrenics in the researcher's hometown, is known as the study population or population of the study. The sample chosen for the study is known as the study sample.
Study Population In This Case
In this case, out of all the New Yorkers, only the registered voters of the city are eligible for making the target subset. Hence, the registered voters of the New York city make the study population. Furthermore, since 1000 random registered voters are chosen for the poll, those 1000 registered voters make the study sample.
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Find the sum: 5/8+3/10
Answer:
37/70
Step-by-step explanation:
5/8 + 3/10 = (5 × 5)/ (8 × 5) + (3 × 4)/ (10 × 4) =
25/40 + 12/40 = 37/40
ABCD is a rectangle. What is the value of x
Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?
The angle between their paths to the nearest degree is 68⁰.
Displacement of each boats after 45 minutes
first displacement, a = 15 km/h x (45/60)
first displacement, a = 11.25 km
second displacement, b = 18 km/h x (45/60)
b = 13.5 km
Angle between their paths to the nearest degreec² = a² + b² - 2ab(cosθ)
2ab(cosθ) = a² + b² - c²
cosθ = (a² + b² - c²)/(2ab)
cosθ = (11.25² + 13.5² - 14²) / (2 x 11.25 x 13.5)
cosθ = 0.371
θ = arc cos(0.371)
θ = 68.22 ⁰
Thus, the angle between their paths to the nearest degree is 68⁰.
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please answer all of them with a clear answer
See below for the solution to the questions
The parallel side of the trapezoidThe given parameters are:
Area = 138
a = 4x - 1
b = x - 4
Height = 12
The area is calculated as:
Area = 0.5 * (a + b) * height
So, we have:
0.5 *(4x - 1 + x - 4) * 12 = 138
This gives
5x - 5 = 23
Add 5 to both sides
5x = 28
Divide by 5
x = 5.6
Recall that:
a = 4x - 1 = 4 * 5.6 - 1 = 21.4
b = x - 4 = 5.6 - 4 = 1.6
Hence, the short base length is 1.6 meters and the long base length is 21.4 meters
The largest angle in the triangleThe sides are given as:
x = 22
y = 24
z = 25
The largest angle always opposite the largest side.
This means that the largest angle is Z
The CircumferenceThe radius is given as:
r = 29
The circumference is calculated as:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2\pi *29[/tex]
Evaluate
C = 182.21
Hence, the circumference is 182.21 inches
Measure of angle from arcThe measure of the arc is given as:
[tex]\theta = 69^o[/tex]
The angle LIK is calculated as:
[tex]m\angle LIK = \frac{\theta}2[/tex]
So, we have:
[tex]m\angle LIK = \frac{69^o}2[/tex]
Evaluate the quotient
[tex]m\angle LIK = 34.5^o[/tex]
Hence, the measure of the angle is [tex]m\angle LIK = 34.5^o[/tex]
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Pls answer fast first to answer correct is the gets brainliest
Answer:
The answer is the first option; 6^1/12
Step-by-step explanation:
We can simplify the question by using the radical rule to rewrite it as
6^1/3 ÷ 6^1/4
Then we use exponent rule which states that when we are dividing exponents of the same base, we have to subtract them. We see that the exponents are 1/3 and 1/4. So we use basic fractional division, here's the subtraction:
= 1/3 - 1/4
= 4/3 - 3/4 (we criss-crossed)
= 1/12 (we subtracted the denominators and multiplied the denominators)
Now that we have subtracted the exponents, we can write the answer as 6^1/12
Answer:
Option #1: [tex]6\frac{1}{2}[/tex]
Step-by-step explanation:
#1: Multiply [tex]\frac{\sqrt[3]{6}}{\sqrt[4]{6}}[/tex] and [tex]\frac{\sqrt[3]{6}}{\sqrt[4]{6}}[/tex]:
[tex]\frac{\sqrt[3]{6}}{\sqrt[4]{6}} * \frac{\sqrt[3]{6}}{\sqrt[4]{6}}[/tex]
#2: Combine and simplify the denominator:
- Multiply [tex]\frac{\sqrt[3]{6}}{\sqrt[4]{6}}[/tex] by [tex]\frac{\sqrt[3]{6}}{\sqrt[4]{6}}[/tex] = [tex]\frac{\sqrt[3]{6} \sqrt[4]{6}^{3} }{\sqrt[4]{6} \sqrt[4]{6}^3}[/tex]
- Raise [tex]\sqrt[4]{6}[/tex] to the power of 1
- Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents: [tex]\frac{\sqrt[3]{6} \sqrt[4]{6}^{3} }{\sqrt[4]{6}^{1+3}}[/tex]
- Add 1 and 3
- Rewrite [tex]\sqrt[4]{6}^4[/tex] as 6: [tex]\frac{\sqrt[3]{6} \sqrt[4]{6}^3}{6}[/tex]
#3: Simplify the numerator:
- Rewrite the expression using the least common index of 12: [tex]\frac{\sqrt[12]{6^4} \sqrt[12]{216^3}}{6}[/tex]
- Combine using the product rule for radicals: [tex]\frac{\sqrt[3]{6^4 *216^3}}{6}[/tex]
- Rewrite 216 as [tex]6^3[/tex]: [tex]\frac{\sqrt[3]{6^{4}*(6^{3})^{3}}}{6}[/tex]
- Multiply the exponents in [tex](6^{3})^3[/tex]: [tex]\frac{\sqrt[12]{6^{4}*6^{9}}}{6}[/tex]
- Use the power rule [tex]a^{m}a^{n}=a^{m+n}[/tex] to combine exponents and add [tex]4+9[/tex]:
[tex]\frac{\sqrt[12]{6^{13}}}{6}[/tex]
- Raise 6 to the power of 16: [tex]\frac{\sqrt[12]{13060694016}}{6}[/tex]
- Rewrite 13060694016 as [tex]6^{12}*6[/tex]: [tex]\frac{\sqrt[12]{6^{12}*6}}{6}[/tex]
- Pull terms out from under the radical: [tex]\frac{6\sqrt[12]{6}}{6}[/tex]
#4: Cancel the common factor of 6:
[tex]\frac{\sqrt[12]{6}}{6}=6\frac{1}{2}[/tex]
The correct simplified answer for [tex]\frac{\sqrt[3]{6}}{\sqrt[4]{6}}[/tex] is Option #1: [tex]6\frac{1}{2}[/tex].
When tariq woke up this morning, the temperature was 0 degrees. the temperature rose 23 degrees in the afternoon, the temp decreesed in the evniing. and it was 11 degrees when tariq went to bed. what integer represents the temp when tariq went to bed?
The final temperature at the time Tariq goes to bed was +12 degrees, represented as integers.
The initial temperature of the day was 0 degrees.
The temperature rose 23 degrees in the afternoon.
This implies that we move +23 on the scale, represented as an integer.
The temperature decreased 11 degrees in the evening.
This implies that we move -11 on the scale, represented as an integer.
This moves the temperature to +23 -11 = +12 degrees, represented as an integer.
Thus, the final temperature at the time Tariq goes to bed was +12 degrees, represented as integers.
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PLEASE HELP ME AS SOON AS POSSIBLE
a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.
b) Using the function, the estimate for the population in 2020 is of 26,400.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:
m = -2400/12 = -200.
Hence the equation is:
P(t) = -200t + 29600.
2020 is 16 years after 2004, hence the estimate is:
P(16) = -200(16) + 29600 = 26,400.
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A deck of 52 cards contains an equal amount of hearts, diamonds, clubs, and spades. If one card is picked at random from the deck, the probability that it is a club is:
a)1/52
b)1/13
c) 1/10
d) 1/4
Answer: B) 1/13
Step-by-step explanation:
There are 52 cards. So, there are 52/4 = 13 cards of each amount of hearts, diamonds, clubs and spades. In this case, we're looking for the probability of picking a club. Since there are 13 club cards and we want to know the probability of picking ONE, our answer is b) 1/13.
Considering the definition of probability, the correct answer is option d): if one card is picked at random from the deck, the probability that it is a club is 1/4.
Definition of probabilityThe higher or lower possibility that a particular event will occur is known as the probability. This is, the probability establishes a relationship between quantity of favorable events and the total quantity of possible events.
The ratio of favorable situations (the number of cases in which event A may or may not occur) to all possible cases is used to calculate the the probability of any event A. This is called Laplace's Law:
probability= number of favorable cases÷ total number of possible cases
Probability that the picked card is a clubIn this case, you know:
Total number of cards = 52 (number of possible cases)The deck of cards contains an equal amount of hearts, diamonds, clubs, and spades.Total number of cards that are clubs= 52÷4= 13 (number of favorable cases)Replacing in the definition of probability:
probability= 13÷ 52
Solving:
porbability= 1/4
Finally, if one card is picked at random from the deck, the probability that it is a club is 1/4.
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PLS HELP ME QUICKLY PLSSS IM BEGGINGG
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "GRAPHS." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
At the Junior Olympics, Jacob ran the 500-yard
dash in 80 seconds. Juan's time for the same
distance was t seconds less than Jacob's.
Which expression would accurately calculate
Juan's time?
The Time taken by Jacob to run the dash race is (80 - t) seconds
How to write algebraic expressions?We are told that;
Total distance for the dash race = 500 yards
Time taken by Jacob to run the dash race = 80 seconds
Now, we are told that Juan ran the same dash race but used t less seconds than Jacob. Thus;
Time taken by Jacob to run the dash race = (80 - t) seconds
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The numbers in this chart represent the weights in kilograms of five members of a middle school boys’ baseball team.
Whose record represents an outlier in this data set?
A. Jim’s
B. Tom’s
C. Ben’s
D. John’s
The record that represents an outlier in this data set is John's weight.
What is an outlier?An outlier is a data point that differs significantly from other observations.
In other words, an outlier is a value or point that differs substantially from the rest of the data.
Therefore, the record that represents an outlier in this data set is John's weight. This is because it is on the
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a solution of the equation 3x + y = 15?
Step-by-step explanation:
Since there is 2 unknown variable ,
so we need 2 equation to find their values.
20 PIONTSSS TO WHOEVER ANDWER THIS QUESTION !!! NEED HELP
The surface area of prism 1 is 36 cm²
Calculating surface areaFrom the question, we are to calculate the surface area of prism 1
From the given information, we have that the two hexagon-based prism are similar
Since the shapes are similar, we can write that
(Length of a side in prism 1)² / (Length of the similar side in prism 2)² =
Area of prism 1 / Area of prism 2
From the given information,
Length of a side in prism 1 = 3 cm
Length of the similar side in prism 2 = 8 cm
Area of prism 2 = 256 cm²
Thus,
3² / 8² = Area of prism 1 / 256
Area of prism 1 = (256 × 3²)/ 8²
Area of prism 1 = (256 × 9)/ 64
Area of prism 1 = (2304)/ 64
Area of prism 1 = 36 cm²
Hence, the surface area of prism 1 is 36 cm²
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If a single 2 hp motor draws 13.8 amps on 115 volt ac current, how much current would 9 identical motors pull?
what is the answer and how do you solve it?
The current drawn by 9 identical motors will be 124.2 amps current
Current is the flow of electrical charge carriers like electrons. Current flows from negative to positive points. The SI unit for measuring electric current is the ampere (A). One ampere of current is defined as one coulomb of electrical charge moving past a unique point in a second.
since , one motor of 2hp draws = 13.8 amps current
hence , 9 identical motor will pull = 13.8 * 9 (each will pull same amount of current )
= 124.2 amps current
The current drawn by 9 identical motors will be 124.2 amps current
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Mario is 63 years older than his grandson Jonas. How many years ago was Mario's age 10 times Jonas's age if Mario's age is currently four times Jonas's age?
Answer:
14 years ago
Explanation:
Let Mario's age be m, Jonas age be j.
From, Mario is 63 years older than Jonas
Equation 1: m = j + 63
From, Mario's age is four times Jonas age
Equation 2: m = 4j
Solve them by substitution:
m = j + 63
4j = j + 63
4j - j = 63
3j = 63
j = 21
Find Mario's age:
m = j + 63
m = 21 + 63
m = 84
Follow this steps:
m - y = 10(j - y)
84 - y = 10(21 - y)
84 - y = 210 - 10y
-y + 10y = 210 - 84
9y = 126
y = 14
The answer is 14 years ago.
Let Mario's age be M, and Jonas' age be J.
The formed equations :
M = J + 63M = 4JTo find their current ages, substitute the 2nd equation in the 1st equation.
4J = J + 63
3J = 63
J = 21
M = 4(21)
M = 84
For Mario to be 10 times Jonas' age, he has to be an age that is a multiple of 10.
Case (1) : Mario's age = 80
Subtract 4 from both their ages.
Mario : 84 - 4 = 80
Jonas : 21 - 4 = 17
17 × 10 ≠ 80
Case (2) : Mario's age = 70
Subtract 14 from both their ages.
Mario : 84 - 14 = 70
Jonas : 21 - 14 = 7
7 × 10 = 70
Which expressions are equivalent to the given expression 5 log 10 x + log10 20 - log10 10
The expression which is equivalent to [tex]5 log_{10}x+log_{10}20-log_{10}10[/tex] is
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-1[/tex].
What is the logarithmic equation?A logarithmic equation exists as an equation that applies the logarithm of an expression having a variable.
Product Rule Law: [tex]log_{a} (MN) = log_{a} M + log_{a} N[/tex]
Quotient Rule Law: [tex]log_{a} (M/N) = log_{a} M - log_{a} N[/tex]
Power Rule Law: [tex]log_{a}M^{n} = n log_{a} M[/tex]
Given: [tex]5 log_{10}x+log_{10}20-log_{10}10[/tex]
[tex]5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5) +log_{10}20 -log_{10}10[/tex]
apply the law of logarithm
[tex]5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5*20/10)[/tex]
[tex]5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5*2)[/tex]
[tex]5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(2x^5)[/tex]
Another possible equivalent expression is:
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(x^5*20)-log_{10}10[/tex]
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-log_{10}10[/tex]
Substitute the value of [tex]log_{10}10 = 1[/tex]
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-1[/tex]
Therefore, the correct answer
[tex]$5 log_{10}x+log_{10}20-log_{10}10 = log_{10}(20x^5)-1[/tex].
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A teacher knows that 80% of her students will score no more than 5 points above or below the class average, 85%, on the test. Which inequality represents the test scores of 80% of her students?
Answer:
[tex]|x-85| \leq 5[/tex]
Step-by-step explanation:
|x-85| represents the 'distance' of the test score than 85, and this distance must be less than or equal to 5.
Choose the function that shows the correct transformation of the quadratic function shifted eight units to the left and one unit down.
ƒ( x) = ( x + 8) 2 + 1
ƒ( x) = ( x - 8) 2 + 1
ƒ( x) = ( x + 8) 2 - 1
ƒ( x) = ( x - 8) 2 - 1
we conclude that the correct option or the translated function is the last one.
f(x) = (x - 8)² - 1
Which is the correct equation for the transformed function?The parent quadratic function is:
y = g(x) = x²
If we translate this function 8 units to the left, then we will have the new function:
f(x) = g(x - 8)
And if now we translate this function one unit downwards, we will get:
f(x) = g(x - 8) - 1
Now we can replace g(x) by the parent quadratic function we willl get:
f(x) = (x - 8)² - 1
From this, we conclude that the correct option is the last one.
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A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 5. Column 2 is labeled y with entries 5, 10, 12.5.
Use the information in the table to find the constant of proportionality and write the equation.
The constant of proportionality is
.
The equation that represents this proportional relationship is
.
The constant of proportionality is 2.5.
First, There is a proportional relationship
Two values x and y are said to be in a proportional relationship if y=kx, where x and y are variables and k is a constant.
y = kx
The constant k is the constant of proportionality
As shown that ,
A 2-column table with 3 rows.
Column 1 is labeled x with entries 2, 4, and 5.
Column 2 is labeled y with entries 5, 10, and 12.5.
According to the Above statement, the calculation is as follows:
5/2 = 2.5 , here we get is 2.5
10/ 4 = 2.5 so Here we get 2.5 and so on
Hence, The constant of proportionality is 2.5.
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If x = 3 (y 2) minus 1 what is the value of w in terms of x and y? w = startfraction x minus 3 y over 3 endfraction w = startfraction x minus 3 y 1 over 3 endfraction w = x minus 3 y 1 w = startfraction x 1 over 9 y endfraction
The value of w from the given equation is w=(x-3y+1)/3.
Given an equation x=3(y+w)-1 and we have to find the value of w in terms of x and y.
Equation is relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation, quadratic equation,cubic equation.
The given expression is x=3(y+w)-1 and we have to find the value of w. To find the value we have to first solve the right side of the equation.
x=3y+3w-1
Now take w at one end and all other variables in other end.
3w=x-3y+1
Now divide both sides by 3.
3w/3=(x-3y+1)/3
Now cancel 3 from numerator and denominator in left side.
w=(x-3y+1)/3
Hence the value of w in the equation x=3(y+w)-1 is w=(x-3y+1)/3.
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find the sum of the average monthly rainfall. this is on i ready okay so please help.
Based on the average monthly rainfall amounts as shown in the graph, the sum of the average monthly rainfall 11/12 inches.
What is the sum of the average monthly rainfall?The average can be found by adding up the monthly rainfall and dividing by 12 months.
Solving gives:
= (1/8 + 1/8 + 1/8 + 2/8+ 2/8 + 5/8 + 7/8 + 9/8 + 13/8 + 15/8 + 16/8 + 16/8) / 12
= (88/8) / 12
= 11/12 inches
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As a construction estimator you estimate the cost of bathroom remodels for a general contractor one client asks for an estimate for two bathroom remodels. you estimate it will cost $20,000 for both remodels when the project is finished all the supplies came in at the estimated budget except for two vanities which were each $100 less than the budgeted amount what was the difference between the actual cost and estimated cost for the two bathroom remodels
For two bathroom remodel estimate budget is $[tex]20000[/tex] for both remodels. when the project is finished all the supplies came in at the estimated budget except for two vanities which were each $[tex]100[/tex] less than the budgeted .So the actual cost of two bathroom remodel is $ [tex]19800[/tex] and the different of actual and expected budgets is $[tex]200[/tex]
How can we find the actual costing of the bathroom remodel ?
Expected estimate budget of two bathroom's remodel is $[tex]20000[/tex]
So budget of one bathroom remodel is
[tex]20000/2\\=10000[/tex]
All supplies are come except for two vanities which were each $[tex]100[/tex]
So for two bathroom remodels
[tex]=2*100\\=200[/tex]
So the actual cost of remodel of both bathroom is
[tex]=20000-200\\=19800[/tex]
And difference between actual and estimated cost is
[tex]=20000-19800\\=200[/tex]
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2. Is x² + 4√x a polynomial ? Justify your answer.
Answer:
No it isn't
As the variable "x" has root in it which means it isn't a whole number and for a expression to be a polynomial the variable must be whole no.
Hope it helps you!
Answer:
yes
Step-by-step explanation:
A polynomial is an algebraic expression of two or more terms
[tex]x^{2} +4\sqrt{x}[/tex] It is an algebraic expression of two terms, It is more common to label it binomial, but it is also a polynomial.
Hope this helps
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 6 x - y = 0
The solution of the system of equations contains one point
How to determine the number of solutions?The system is given as:
x + y = 6
x - y = 0
Add both equations
2x = 6
Divide by 2
x = 3
Substitute x = 3 in x - y = 0
3 - y = 0
Solve for y
y = 3
So, we have x =3 and y = 3
Hence, the solution of the system of equations contains one point
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Suppose in a class of 60 students 5 have no siblings, 26 have one sibling, 14 have two siblings, and 15 have three siblings. Calculate the relative frequency of students who have three siblings. (please express as a percentage)
The relative frequency of students who have three siblings is 25% given that there are 60 students in a class in which 5 have no siblings, 26 have one sibling, 14 have two siblings and 15 have three siblings. This can be obtained by using the formula for relative frequency.
What is the relative frequency of students who have three siblings?Given that,
total number of students in the class = 60
number of students who have no sibling = 5
number of students who have 1 sibling = 26
number of students who have 2 sibling = 14
number of students who have 3 sibling = 15
Formula for relative frequency = f/n, where f is the number of times the data occurred, n is the total number of frequencies.
Therefore,
relative frequency of students who have three siblings = 15/60 = 0.25
In percentage ⇒ 0.25 × 100 = 25%
Hence the relative frequency of students who have three siblings is 25% given that there are 60 students in a class in which 5 have no siblings, 26 have one sibling, 14 have two siblings and 15 have three siblings.
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 i need help putting it in expanded form and solving it
Answer:
4x^04x^04x^04x^1 which equals 256
Step-by-step explanation:
The 4 outside of the parentheses says take what you have outside of the parentheses and multiply it by itself that may times.
x raised to the zero is 1, so you are just left with 4x4x4x4 or 256
Can someone help me with this problem and show work please !
Answer: Length - 20, Width - 10
Step-by-step explanation:
First we will use the formula to find area:
Area = Length * Width --- However, since it's double the length we will do 2Length.
Area = 2x*x
Given Area = 200
Next we will solve to find Width:
[tex]2x^{2} =200[/tex]
Divide by 2:
[tex]x^{2} =100[/tex]
Take square root:
[tex]x=10[/tex]
Width = 10
Now we multiply 10 by 2, as length is twice it's width:
[tex]2*10=20[/tex]
Length = 20
Final answer: Width = 10, Length = 20
I hope this helps!