Answer:
no it is not
Step-by-step explanation:
Answer:
Irrational Number
Step-by-step explanation:
Irrational number: A number that can't be written as a fraction.
- Non Recurring numbers, and non terminating numbers fall into the irrational category
Helpppppppppppppppppppppppppppp
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
10.5x - 1.9 = 19.1
Step 2: Solve for x
Add 1.9 to both sides: 10.5x = 21Divide 10.5 on both sides: x = 2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 10.5(2) - 1.9 = 19.1Multiply: 21 - 1.9 = 19.1Subtract: 19.1 = 19.1Here we see that 19.1 does indeed equal 19.1.
∴ x = 2 is a solution to the equation.
If profits decrease by 13.8% when the degree of operating
leverage (DOL) is 3.8, then the decrease in sales is:
A) 0.28%
B) 0.52%
C) 3.63%
D) 10%
E) 52.44%
Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.
The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.
Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8
= -13.8% / x Thus, we have: x
= -13.8% / 3.8
= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage
= 13.8 / 3.8
= 3.63% The percentage decrease in sales is 3.63%.
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Write an equation where x
represents time if Tessa
makes $3,200 monthly and
earns $25 per hour.
Answer:
f(x)=25x+3200
Step-by-step explanation:
Let the random variables V and W be defined by V = √U and W = U2, where U is a number chosen at random between 0 and 1. What are the expected values and the standard deviations of V and W?
The expected values and standard deviations of the random variables V and W can be determined using the properties of expected values and standard deviations.
The expected value of V is 2/3 and its standard deviation is approximately 0.2357. The expected value of W is 1/3 and its standard deviation is approximately 0.2357.
To find the expected value of a random variable, we multiply each possible value by its corresponding probability and sum them up. For V = √U, U is uniformly distributed between 0 and 1, so the expected value of V can be calculated as:
E(V) = ∫√U * f(U) dU
Since U is uniformly distributed, the probability density function (PDF) f(U) is constant and equal to 1 over the range [0, 1]. Therefore,
E(V) = ∫√U dU = [(2/3)\(U^(3/2)\)] from 0 to 1 = 2/3
To find the standard deviation, we need to calculate the variance first. The variance of V can be calculated as:
Var(V) = E[(V -\(E(V))^2\)] = E\([U - (2/3)]^2\)
By integrating the square of the difference between U and (2/3) over the range [0, 1], we find that Var(V) is approximately 0.0556. Therefore, the standard deviation of V is approximately 0.2357.
For W = \(U^2\), the expected value can be calculated as:
E(W) = ∫\(U^2\) * f(U) dU = ∫\(U^2\) dU = [(1/3)\(U^3\)] from 0 to 1 = 1/3
The variance of W can be calculated as:
Var(W) = E[(W - \(E(W))^2\)] = \(E[U^2 - (1/3)]^2\)
By integrating the square of the difference between \(U^2\) and (1/3) over the range [0, 1], we find that Var(W) is approximately 0.0556. Therefore, the standard deviation of W is approximately 0.2357.
In summary, the expected value of V is 2/3 with a standard deviation of approximately 0.2357, while the expected value of W is 1/3 with a standard deviation of approximately 0.2357.
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If mr. douty goes to the store and purchases 5 equally priced items for a total of $172.45, how much did each item cost individually?
Answer:
$34.49
Step-by-step explanation:
To figure out this problem, you would need to divide the total price by the total amount of items you are buying
In this case it is...
172.45/5
=34.49
So the price of each item is approx. $34.49
What is the difference between repressed and recovered memories?
Recovered memory in CSA refers to the new development of abusive memories. Repressed memory is when the patient believes the CSA occurred, even though they have no specific memory of the event.
Recovered memory:
The term "recovered memory" implies that at some point the memory must become inaccessible to conscious awareness (as opposed to "continuous memory"). Although the term is not ideal, it is clear that people often fail to report important events, such as known hospitalizations (Loftus, 1993). In 1995, the debate over reclaiming memory was near its most violent climax. Hundreds of people have recovered memories of child sexual abuse (CSA), and sometimes in therapy it is thought that repressed or dissociative memories need to be recovered for a person to 'heal'.
Repressed Memory:
Repressed memory is a purported psychiatric phenomenon involving the inability to recall autobiographical information, usually traumatic or stressful. The concept has its origins in psychoanalytic theory, where repression is understood as a defense mechanism that keeps painful experiences and unacceptable impulses out of awareness. Repressed memory is a controversial concept, especially in a legal context, where it is used to unjustly and inaccurately accuse individuals, causing significant harm. Meanwhile, a working group from the American Psychological Association has stated that while "most people who were sexually abused in childhood remember some or all of what happened to them, it is possible to remember long-forgotten abuses.
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Suppose that the number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 19% per hour. Suppose also that a sample culture of 2300 bacteria is obtained from this population. Find the size of the sample after five hours. Round your answer to the nearest integer.
Answer: 5489
Step-by-step explanation:
Given the following :
Growth rate (r) = 19% per hour
Sample culture in population = 2300
Size of sample after 5 hours =?
Using the exponential relation:
P = Po * r^t
P = population after 5 hours
Po = Initial sample population
t = time
P = 2300 * (1 +19%)^t
P = 2300 ×(1 + 0.19) ^5
P = 2300 * 1.19^5
P = 2300 * 2.3863536599
P = 5488.61341777
P = 5489 (nearest integer)
For a certain company , the cost for producing items is 45x + 300 and the revenue for selling items is 85x - 0.5x ^ 2. Part a: set up an expression for the profit from producing and selling x items and solve. we assume the company sells all of the items it produces. Part B: find two values of x thatvwill create a profit of $50. Part C: is it possible for the company to make a profit if $2500?
Producing cost:
\(45x+300\)Revenue:
\(85x-0.5x^2\)The profit (P) is equal to substract the producing cost for the revenue:
\(\begin{gathered} P=(85x-0.5x^2)-(45x+300) \\ P=85x-0.5x^2-45x-300 \\ P=40x-0.5x^2-300 \end{gathered}\)
You can write also as:
\(P=-0.5x^2+40x-300\)----------------------------------
P=50:
\(50=-0.5x^2+40x-300\)To solve for x:
Substract 50 in both sides of the equation:
\(\begin{gathered} 50-50=-0.5x^2+40x-300-50 \\ 0=-0.5x^2+40x-350 \end{gathered}\)Use the quadratic formula:
\(\begin{gathered} ax^2+bx+c=0 \\ \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \end{gathered}\)\(\begin{gathered} x=\frac{-40\pm\sqrt[]{40^2-4(-0.5)(-350)}}{2(-0.5)} \\ \\ x=\frac{-40\pm\sqrt[]{1600-700}}{-1} \\ \\ x=\frac{-40\pm\sqrt[]{900}}{-1} \\ \\ x=\frac{-40\pm30}{-1} \\ \\ x_1=\frac{-40+30}{-1}=\frac{-10}{-1}=10 \\ \\ x_2=\frac{-40-30}{-1}=\frac{-70}{-1}=70 \end{gathered}\)Then, the two values of x that make a profit of $50 are: 10 and 70------------------ ----------------------
P=2500
\(2500=-0.5x^2+40x-300\)Solve for x:
\(\begin{gathered} 0=-0.5x^2+40x-300-2500 \\ 0=-0.5x^2+40x-2800 \\ \\ x=\frac{-40\pm\sqrt[]{40^2-4(-0.5)(-2500)}}{2(-0.5)} \\ \\ x=\frac{-40\pm\sqrt[]{1600-5000}}{-1} \\ \\ x=\frac{-40\pm\sqrt[]{-34000}}{-1} \end{gathered}\)As the number under the square root is a negative number the equation has no solution (value of x) in the real numbers.
No, is not possible for the company to make a profit of $2500What is a residual for a multiple regression model and the data that is used to create it? select one.
The difference between the actual value of the response variable and the corresponding predicted value(regression error) using the multiple regression model is the correct option.
A residual is a measurement of the vertical distance between a point and the regression line. It is just the discrepancy between an actual value observed and a value that was projected.
To ensure that the requirements for making conclusions about the coefficients in a linear model have been met, one should always perform a residual analysis.
In regression analysis, a residual is the discrepancy between an observed value and a predicted value.
It is determined by,
Residual = Observed value – Predicted value
The residual is the discrepancy between the expected value and the actual value.
Observed value minus predicted value equals residual.
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Josie left an $8.00 tip at the restaurant. How much was her total bill , is the tip was 20% of the total?
A $32
B $40
C $48
D $64
Answer:
c $48
Step-by-step explanation:
8 x 5 is 40 which is the price of the meal then plus the tip its 48
Write a olution that contain ax2=y and ha no olution when a=4 and one olution otherwie
The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.
We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.
According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by
x = (-b +/- √(b² - 4ac)) / (2a)
In this formula, if we add "ax² = y," we obtain
x = (-0 +/- √(0² - 4ay)) / (2a)
which simplifies to
x = √(-4ay) / (2a)
If a = 4, the equation becomes
x = √(-16y) / 8
The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.
The equation has a single solution provided by any other value of a.
x = √(-4ay) / (2a)
For example, if a = 3, the equation becomes
x = √(-12y) / 6
Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.
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What is the distance between the points (13 , -18) and (-10 , -18) in the coordinate plane?
what is the answer
Answer:
23
Step-by-step explanation:
2r=5s/2-s/4 (solve for s)
Answer:
s=8r/9
Step-by-step explanation:
2r=5s/2-s/4 multiply both sides by 4
8r=10s-s (5s times 4 = 20s and 20s/2=10s) combine like terms
8r=9s divide by 9 to isolate s
8r/9=s
A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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A website sells Bolga baskets for $42 each. The expression 42b represents the total price buying b baskets.
What do the parts of the park expression 42b represent?
In the expression 42b, b represents the ?
and 42 represents the ?
Answer: b represents the variable and 42 represents the coefficent.
Step-by-step explanation:
The required the parts of the park expression 42b represent
the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
Bolga baskets= $42
The expression 42b represents the total price buying b baskets.
According to given question we have
The given statement is
Let the number of bolga basket be b
So, the total price of the bolga basket =42b
The cost of each bolga basket is $42
Therefore, the required the parts of the park expression 42b represent
the total price of the bolga basket , b represents the number of bolga basket and 42 represents the cost of each bolga basket.
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1Cm:15Km to the nearest 10000
The value of 1 cm : 1 km is 6.66666667e-7
How to evaluate the ratio?The ratio expression is given as:
1 cm : 15 km
Convert km to cm
So, we have
1 cm : 1 km = 1 cm : 1500000 cm
Express as quotient
1 cm : 1 km = 1 cm/1500000 cm
Evaluate the quotient
1 cm : 1 km = 6.66666667e-7
Hence, the value of 1 cm : 1 km is 6.66666667e-7
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Lucy has $7 less than Kristine and $5 more than Nina together,the three have $35 how much does Lucy have?
Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.
Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.
According to the given information, we can form two equations:
Lucy has $7 less than Kristine: L = K - 7
Lucy has $5 more than Nina: L = N + 5
We also know that the three of them have a total of $35: K + L + N = 35
We can solve this system of equations to find the values of K, L, and N.
Substituting equation 1 into equation 3, we get:
K + (K - 7) + N = 35
2K - 7 + N = 35
Substituting equation 2 into the above equation, we get:
2K - 7 + (L - 5) = 35
2K + L - 12 = 35
Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:
2K + (K - 7) - 12 = 35
3K - 19 = 35
Adding 19 to both sides:
3K = 54
Dividing both sides by 3:
K = 18
Now we can substitute the value of K into equation 1 to find L:
L = K - 7
L = 18 - 7
L = 11
Finally, we can find the value of N by substituting the values of K and L into equation 3:
K + L + N = 35
18 + 11 + N = 35
N = 35 - 18 - 11
N = 6
Therefore, Lucy has $11.
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Suppose you select a number at random from the sample space 5,6,7,8,9,10,11,12,13,14. Find each probability. P (greater than 7 | greater than 12 )
The probability of selecting a number greater than 7 given that it is greater than 12 is 0.
To find the probability of selecting a number greater than 7 given that it is greater than 12, we need to consider the sample space and the condition. The numbers in the sample space are: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14.
However, we are looking for numbers that are both greater than 7 and greater than 12. There are no numbers that satisfy this condition since any number greater than 12 automatically satisfies being greater than 7 as well.
Therefore, there are no numbers in the sample space that meet the given condition. As a result, the probability of selecting a number greater than 7 given that it is greater than 12 is 0 (or 0%).
In other words, there are no elements in the intersection of the events "greater than 7" and "greater than 12" within the given sample space.
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Slide 4
Pamela went to Walmart to look for a new
PlayStation. She found one she wanted for $350.00.
She found a sale for 25% off. How much did Pamela
save with the coupon?
Answer:
87.5$ since 25% is 1/4 87.5 is 1/4
Step-by-step explanation:
Given: JLM is equilateral. Z is the midpoint of JM.
Prove: JZL is congruent to MZL.
There are multiple ways to prove congruence between two triangles:
SSS - three sides are congruentSAS - two sides and the angle in between are congruentASA - two angles and the side in between are congruentAAS - two angles and one side are congruentHL - (applies only to right triangles) the hypotenuse and one leg are congruent.Keep in mind that the order of the letters matters.
Solving the Question
Given triangle JLM, we know that
S - Z is the midpoint of JM, meaning JZ is congruent to MZ.S - Both triangles share side LZ.S - Because JLM is an equilateral triangle, LJ is congruent to LM.This is only one of the ways to prove congruence with these two triangles.
SOMEONE HELP ME PLEASE
Answer:
(36+22+19)=77
then add red and yellow
=(36+22)
=58
then the probability will be
58/77
HOPE IT HELP YOU.......
the tampa bay skeptics performed an experiment to see whether an acclaimed psychic has extrasensory perception (esp). a crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. the experiment was repeated seven times, and x, the number of decisions, was recorded. (assume that the seven trials are independent.) a. if the psychic is guessing (i.e., if the psychic does not possess esp), what is the value of p, the probability of a correct decision on each trial? b. if the psychic is guessing, what is the expected number of correct decisions in seven trials? c. if the psychic is guessing, what is the probability of no correct decisions in seven trials? d. now suppose the psychic has esp and p
a. The probability of a correct decision on each trial is 0.1.
b. The expected number of correct decisions in seven trials is 0.7.
c. The probability of no correct decisions in seven trials is approximately 0.478.
d. The probability that the psychic guesses incorrectly in all seven trials is approximately 0.0078.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
a. If the psychic is guessing (i.e., does not possess ESP), there are 10 boxes, and only one of them contains the crystal.
Therefore, the probability of a correct decision on each trial is -
p = 1/10 = 0.1
b. If the psychic is guessing, the expected number of correct decisions in seven trials can be found by multiplying the probability of a correct decision on each trial (0.1) by the number of trials (7) -
E(X) = np = 7 × 0.1 = 0.7
Therefore, the number of correct decisions is 0.7.
c. If the psychic is guessing, the probability of no correct decisions in seven trials can be found using the binomial distribution formula -
\(P(X=0) = (n\ choose\ x) \times p^x \times (1-p)^{(n-x)}\)
In this case, n = 7, x = 0, and p = 0.1.
Substituting these values into the formula, we get -
\(P(X=0) = (7\ choose\ 0) \times 0.1^0 \times 0.9^7 = 0.478\)
Therefore, the probability value is 0.478.
d. If the psychic has ESP and p = 0.5, the probability of guessing incorrectly on any trial is -
q = 1 - p
q = 1 - 0.5
q = 0.5
The probability of guessing incorrectly in all seven trials can be found using the binomial distribution formula -
\(P(X=7) = (n\ choose\ x) \times p^x \times q^{(n-x)}\)
In this case, n = 7, x = 7, p = 0.5, and q = 0.5.
Substituting these values into the equation, we get -
\(P(X=7) = (7\ choose\ 7) \times 0.5^7 \times 0.5^0 = 0.0078\)
Therefore, the probability value is 0.0078.
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The Tampa bay skeptics performed an experiment to see whether an acclaimed psychic has extrasensory perception (ESP). A crystal was placed, at random, inside 1 of 10 identical boxes lying side by side on a table. The experiment was repeated seven times, and x, the number of decisions, was recorded. (Assume that the seven trials are independent.)
a. If the psychic is guessing (i.e., if the psychic does not possess ESP), what is the value of p, the probability of a correct decision on each trial?
b. If the psychic is guessing, what is the expected number of correct decisions in seven trials?
c. If the psychic is guessing, what is the probability of no correct decisions in seven trials?
d. Now suppose the psychic has ESP and p=.5. What is the probability that the psychic guesses incorrectly in all seven trials.
The perimeters of the triangles shown below are equal
Using this information, what is the value of x?
Answer:
x=19
Step-by-step explanation:
The perimeter of the right triangle is
P=9+12+15 =36
The perimeter of the left triangle is
P =x-7+ x-7+ x-7 = 3x-21
Set them equal
36 = 3x-21
Add 21 to each side
36+21 = 3x-21+21
57 = 3x
Divide each side by 3
57/3 = 3x/3
19 =x
Answer:
\(x=19\)
Step-by-step explanation:
The perimeter of a shape is the sum of all of its side lengths. Therefore, the perimeter of the first triangle is \(x-7+x-7+x-7=3x-21\) and the perimeter of the second triangle is \(9+15+12=36\).
We are given that the perimeters of the triangles are equal, so \(3x-21\) equals \(36\). As an equation, that would be \(3x-21=36\). Solving for \(x\), we get:
\(3x-21=36\)
\(3x=57\) (Add \(21\) to both sides of the equation to isolate \(x\))
\(x=19\) (Divide both sides of the equation by \(3\) to get rid of \(x\)'s coefficient)
Hope this helps!
A large office dek ha an area of 42ft2. If the width i 3. 5 feet, write an equation to repreent the area
The equation to represent the area of the desk is A=3.5 x 12. The length of the large office desk is 12.
The area a rectangle occupies on a two-dimensional plane is known as the area of the rectangle. A quadrilateral, a type of two-dimensional shape with four sides and four vertices, is what a rectangle is.
A large office desk is given, with area 42 ft^2. The shape of the desk is rectangle. The area of the rectangle is given by A=l*w.
Given, the area is 42 ft^2.
w=3.5 feet.
A= 42
42=3.5*l
l=42/3.5
l=12 feet.
The length of the rectangular desk is 12 feet. The equation to represent the area of the large office desk is A=12*3.5.
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Which of the following is the equation of a parabola with the focus at (0, 3/4) and the directrix y = -3/4?
Answer:
do you have the picture I actually understand it if I see it in pictures .
Anne and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $165 every month to the savings. The amount A (in dollars) saved this way is given by the function A=165N+750 , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $395 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=395N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N .
The equation relating T to N is T = 560N + 750
What is a function?
A function is defined as an expression or rule that explains or compares the relationship between two variables - the dependent and the independent variable.
From the information given, we have that;
Plan A = 165N + 750Plan B = 395NT is the total amount saved using both plan A and BThis is represented as;
T = A + B
Substitute the values
T = 165N + 750 + 395N
Collect like terms
T = 165N + 395N + 750
Add like terms
T = 560N + 750
Thus, the equation relating T to N is T = 560N + 750
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what is the measure of one exterior angle of a polygon with 26 number of sides? round to one decimal place
Answer: The sum of the exterior angles of any polygon is 360 degrees.
The measure of one exterior angle of a regular polygon with n sides is given by the formula:
360/n
For a polygon with 26 sides, the measure of one exterior angle is:
360/26 = 13.8 degrees (rounded to one decimal place)
Step-by-step explanation:
The perimeter of this isosceles triangle is 22 cm. If one side is 6 cm, what are the possible lengths of the other two sides?
Explain how you know. Provide at least one reason for your answer.
The other two sides of the triangle will be 8 cm.
Let's call the length of each of the other two sides "x".
Since the triangle is isosceles, it has two sides of equal length. Therefore, the perimeter of the triangle can be expressed as:
perimeter = 6 + x + x
Simplifying this equation, we get:
perimeter = 2x + 6
We know that the perimeter is 22 cm, so we can set up an equation and solve for x:
22 = 2x + 6
Subtracting 6 from both sides, we get:
16 = 2x
Dividing both sides by 2, we get:
x = 8
So the other two sides could both be 8 cm long in order to make an isosceles triangle with a perimeter of 22 cm.
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Answer:
8 cm
Step-by-step explanation:
Let's call the length of each of the other two sides x. Since the triangle is isosceles, it has two sides of equal length. Therefore, the perimeter of the triangle can be expressed as 6 + x + x Simplifying this equation, we get 2x + 6 We know that the perimeter is 22 cm so we can set up an equation and solve for x. 22 = 2x + 6 Subtracting 6 from both sides, we get 16 = 2x Dividing both sides by 2, we get x=8
a square has a perimeter of 60 m what is the length of each side?
Answer:15
Step-by-step explanation:
In a square each side is the same length so you simply take 60 and divide it by 4 and you get 15.
I need help. Thank you.
Answer:
The teacher sets up 7 work stations in each of the 2 classrooms.
Step-by-step explanation:
1. Find the number of work stations in all. We can find the number of work stations by dividing the amount of clay by the amount of clay that will be in each work station. 7/8 is the amount she has and 1/16 is how many that will be in each work station. 7/8 divided by 1/16 is equal to 7/8 * 16/1, and if you cross cancel, you would get 14.
2. Find how many are in each classroom. Since we know that we have 14 workstations in all, and that there are two classrooms, to find the amount in each, you have to divide 14/2. 14/2 = 7
Answer: The teacher sets up 7 work stations in each of the 2 classrooms.