If the area of an equilatral is 81 to the root of 3 cm squarefind the perimeter of the triangle
Answers
The perimeter of the equilateral triangle with an area of 81√3 cm² is 54 cm.
An equilateral triangle is a type of triangle in which all three sides are equal in length, and all three angles are equal to 60 degrees.
Let's denote the side length of the equilateral triangle by "a".
The formula for the area of an equilateral triangle is
Area = (√3/4) × a^2
We are given that the area is 81√3 cm², so we can set up the equation
81√3 = (√3/4) × a^2
Solving for "a", we get:
a = 18 cm
Now that we know the side length, we can find the perimeter by multiplying it by 3 (since it's an equilateral triangle):
Perimeter = 3a = 3 × 18 cm = 54 cm
Learn more about equilateral triangle here
brainly.com/question/17556213
#SPJ4
Related Questions
In the multiplication example ABxC=AAA, different letters represent different digits, AB represents a two-digit number and AAA represents a three-digit number. What is the value of C ?
Answers
The value of C is 8.We know that AB is a two-digit number and AAA is a three-digit number, soif we let A=1, B=2, then AB=12 and ABxC=AAA means 12xC=AAA.
We know that AB is a two-digit number and AAA is a three-digit number, soif we let A=1, B=2, then AB=12 and ABxC=AAA means 12xC=AAA.
We can also rewrite this equation as 12xC=1xx1xxC, which simplifies to C=8. Therefore, C=8.
The multiplication example ABxC=AAA can be expanded to "twelve times C equals one hundred and twenty-eight," which is the same as the equation 12xC=128. If we let A=1 and B=2, then AB=12 and solving for C gives us C=8. Therefore, C=8 when A=1, B=2, and ABxC=AAA.
learn more about number here
https://brainly.com/question/10547079
#SPJ4
whats the answer to this question please thank you
Answers
Answer:
95
Step-by-step explanation:
jen smith has decided to become her own boss after spending 5 years as an assistant manager for a restaurant. the owner of a local sandwich store wants to sell the store to jen for $65,000 to be paid in installments of $13,000 in each of the next 5 years. according to the current owner, the store brings in revenue of about $110,000 per year and incurs operating costs of about 63% of sales. thus, once the store is paid for, jen should make about $35,000 -$40,000 per year before taxes. until the store is paid for, she will make substantially less-but she will be her own boss. realizing that some uncertainty is involved in this decision, jen wants to simulate what level of net income she can expect to earn during the next 5 years as she operates and pays for the store. in particular, she wants to see what could happen if sales are allowed to vary based on a normal distribution with mean of $100,000 and standard deviation of $10,000, and if operating costs are allowed to vary uniformly between 60% and 65% of sales. assume that jen's payments for the store are not deductible for tax purposes and that she is in the 28% tax bracket. a. create a spreadsheet model to simulate the annual net income jen will receive during each of the next five years if she decides to buy the store. (3 points) b. given the money she has in savings; jen thinks she can get by for the next five years if she can make at least $12,000 from the store each year. run 100 simulation (replication) and find the probability that jen will make at least $12,000 in each of the next five years? (1 point) c. what is the probability (based on 100 simulation) that jen will make at least $60,000 total over the next five years? (1 point)
Answers
Jen simulated her net income over 5 years assuming sales vary based on a normal distribution $100,000 and operating costs 60% and 65% of sales. keeping the loan payment be fixed at $13,000. The probability of making at least $12,000 each year is the number of successful simulations divided by 100. and at least $60,000 total over 5 years based as the number of successful simulations divided by 100.
To simulate Jen's annual net income over the next 5 years, a spreadsheet model can be created with columns for year, sales, operating costs, loan payment, and net income.
For each year, the sales can be generated from a normal distribution with mean $100,000 and standard deviation $10,000, and the operating costs can be generated from a uniform distribution between 60% and 65% of sales.
The loan payment can be fixed at $13,000, and the net income can be calculated as the difference between the sales, operating costs, loan payment, and taxes (28% of net income).
To find the probability that Jen will make at least $12,000 in each of the next five years, 100 simulations can be run using the model created in part a. For each simulation, the net income for each of the next five years can be calculated, and if the minimum net income is at least $12,000 for each year, then the simulation is counted as a success.
The probability of success can be calculated as the number of successful simulations divided by 100.
To find the probability that Jen will make at least $60,000 total over the next five years, 100 simulations can be run using the model created in part a. For each simulation, the total net income over the next five years can be calculated, and if it is at least $60,000, then the simulation is counted as a success.
The probability of success can be calculated as the number of successful simulations divided by 100.
To know more about Probability:
https://brainly.com/question/11234923
#SPJ4
(-2g + 7) - (g + 11)
please i need help
Answers
Answer: -3g - 4
(-2g + 7) - (g + 11)
= -2g + 7 - g - 11
= -3g - 4
Step-by-step explanation:
Un coche inicia un viaje de 495 Km. a las ocho y media de la mañana con una velocidad
media de 90 Km/h ¿A qué hora llegará a su destino?
Answers
The time that you will arrive at your destination, given the distance of the trip and the average speed, is 2 pm
How to find the time of arrival?To find the time of arrival by using the car going at 90 km /h, you need to find the time that the whole trip would take.
The time the trip would take is found by the formula:
= Distance of trip / Average speed
= 495 / 90
= 5 . 5 hours
0.5 hours is 30 minutes so this is 5 hours 30 minutes.
The time you will arrive is therefore:
= 8 : 30 + 5 hours 30 minutes
= 2 pm
Find out more on time of arrival at https://brainly.com/question/29233850
#SPJ1
How many solutions does this linear system have?
y= 5a-1
-15
3y = 3
Answers
Answer:
The answer would be B one solution
Hope this helps
All male teachers at a school are thought to weigh an average of 180 pounds with a standard deviation of 18 pounds. What is the probability that a random sample of 49 teachers has an average weight of 185 pounds, or more?
Answers
The probability that a random sample of 49 teachers has an average weight of 185 pounds or more is approximately 1 - 0.9737 = 0.0263, or 2.63%.
To calculate the probability that a random sample of 49 male teachers has an average weight of 185 pounds or more, we can use the central limit theorem and assume that the sample mean follows an approximately normal distribution.
Given that the population average weight is 180 pounds and the standard deviation is 18 pounds, we can calculate the standard deviation of the sample mean, also known as the standard error, using the formula:
Standard Error (SE) = Population Standard Deviation / √(Sample Size)
SE = 18 / √49
SE = 18 / 7
SE ≈ 2.5714
Next, we can calculate the z-score for the sample mean of 185 pounds using the formula:
z = (Sample Mean - Population Mean) / Standard Error
z = (185 - 180) / 2.5714
z ≈ 1.947
To find the probability corresponding to this z-score, we can look up the area under the standard normal distribution curve using a z-table or a statistical calculator.
The probability of having a sample mean of 185 pounds or more can be calculated as the complement of the area to the left of the z-score:
P(Z ≥ 1.947) ≈ 1 - P(Z < 1.947)
Using a standard normal distribution table or a calculator, we find that the cumulative probability associated with a z-score of 1.947 is approximately 0.9737.
Therefore, the probability that a random sample of 49 teachers has an average weight of 185 pounds or more is approximately 1 - 0.9737 = 0.0263, or 2.63%.
For more about probability:
brainly.com/question/31828911
#SPJ4
The volume of a right triangular prism is 72 cubic feet. the height of the prism is 9 feet. the triangular base is an isosceles right triangle. a right triangular prism has a volume of 72 cubic feet. triangles a e c and b f d are the base triangles. sides f d and b f are congruent and form a right angle. the height of the prism is 9 feet. what is the area of the triangular base? square feet what is the length of edge df? feet
Answers
Answer:
8 square feet
Step-by-step explanation:
The formula of a volume of a prism:
We have
Substitute:
divide both sides by 9
Answer:
8 and 4Step-by-step explanation:
The first one is 8
The second one is 4
8x-12=-8x-12
What is the answer to this equation
Answers
Answer:
Any value for x will always be true
Step-by-step explanation:
Step 1: Add 8x to both sides
Step 2: Add 12 to both sides.
Step 3: Divide both sides by 16.
x=0 (Any value)
Add 8x to both sides:
16x-12=-12
Add 12 to both sides:
16x=0
Divide both sides 16:
x=0/16
x=0
If you answer all of these you are a ledgend.
Answers
Substituting the value, we have:
Surface Area = 6 * (7 mm)^2
Surface Area = 6 * 49 mm^2
Surface Area = 294 mm^ Top face: Area = L * W
4)Area = 6 in * 7 in = 42 in²
Bottom face: Area = L * W
Area = 6 in * 7 in = 42 in²
Front face: Area = W * H
Area = 9 in * 6 in = 54 in²
Back face: Area = W * H
Area = 9 in * 6 in = 54 in²
Left face: Area = L * H
Area = 6 in * 9 in = 54 in²
Right face: Area = L * H
Area = 6 in * 9 in = 54 in²
Now, we sum up the areas of all six faces:
Surface Area = 42 in² + 42 in² + 54 in² + 54 in² + 54 in² + 54 in²
Surface Area = 300 in²
Last one Given the dimensions of the truck bed:
Length = 19 and a half ft = 19.5 ft
Width = 7 2/3 ft = 7.67 ft (approximately)
Height = 7 1/5 ft = 7.2 ft
Volume = Length * Width * Height
Volume = 19.5 ft * 7.67 ft * 7.2 ft
Calculating the volume:
Volume ≈ 1,195.748 ft³
Can’t do the second one srry
Omane is 4 years older than Bremen. If the sum of their age is 60 , find Bremen's age
Answers
Set x is omane’s age
Y is bremen’s age
X=y + 4
X+ y = 60
=> x= 32
Y=28
Answer:
Bremen's age is 28 years
Step-by-step explanation:
Bremen's age= x
Omane's age= x+4
x+x+4=60
2x+4=60
2x=60-4
2x=56
2x = 56
2 2
x=28
Find the equation of the line below.
Answers
Answer:
Hey there!
The slope is 1-0/2-0, or 1/2.
The y-intercept is 0.
Thus, the equation would be y=1/2x
Let me know if this helps :)
PLEEASSEEE HELLP
What is m
Answers
If the probability that the Islanders will beat the Rangers in a game is 49%, what is the probability that the Islanders will win at most one out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.
ANSWER IS 0.069
Answers
What is (4 - 5y) - 2 (3.5y - 8)
Answers
Answer:
It's 20 - 12y
Step-by-step explanation:
I sorta just worked it out, I dunno how..
Answer:
20-12y
Step-by-step explanation:
The answer is simple
problem 12a: fullerton iv company has had a policy of reordering inventory every 30 days. using the data below, what is the economic order quantity eoq?ordering cost f $10 per ordercarrying cost c 20% of purchase price purchase price p $10 per unittotal sales per year s 1,000 units safety stock days per year 360. continuing with the previous question, what is the total inventory cost, tic?
Answers
The economic order quantity (EOQ) for Fullerton IV Company is 100 units. The total inventory cost (TIC) is $200.
The economic order quantity (EOQ) for Fullerton IV Company can be calculated using the given information. The EOQ formula is:
EOQ = √((2 * S * F) / C)
where S is the total annual sales, F is the ordering cost per order, and C is the carrying cost as a percentage of the purchase price.
Given data:
Ordering cost (F) = $10 per order
Carrying cost (C) = 20% of purchase price
Purchase price (P) = $10 per unit
Total sales per year (S) = 1,000 units
Substituting these values into the formula, we get:
EOQ = √((2 * 1,000 * 10) / (0.2 * 10))
Simplifying further:
EOQ = √(20,000 / 2)
EOQ = √10,000
EOQ = 100
Therefore, the economic order quantity (EOQ) for Fullerton IV Company is 100 units.
To calculate the total inventory cost (TIC), we need to consider both the ordering cost and the carrying cost. The formula for TIC is:
TIC = (S / EOQ) * F + (EOQ / 2) * C * P
where S is the total annual sales, EOQ is the economic order quantity, F is the ordering cost per order, C is the carrying cost as a percentage of the purchase price, and P is the purchase price per unit.
Substituting the given values into the formula, we have:
TIC = (1,000 / 100) * 10 + (100 / 2) * 0.2 * 10
Simplifying further:
TIC = 10 * 10 + 50 * 0.2 * 10
TIC = 100 + 100
TIC = 200
Therefore, the total inventory cost (TIC) for Fullerton IV Company is $200.
To know more about economic order quantity (EOQ), refer here:
https://brainly.com/question/9068415#
#SPJ11
Jack has twelve dollars in his pocket on Monday, three dollars on Tuesday, ten dollars on Wednesday, eight dollars on Thursday, and two dollars on Friday. What is the average amount of money Jack has in his pocket per day?
Answers
Answer:
7 dollars per day
Step-by-step explanation:
12 + 3 + 10 + 8 +2 = 35
Average = Total money/number of days
= 35/5
= 7 dollars per day
Answer:
$7 per day
Twelve + Three + Ten + Eight + Two = Thirty five
The average is the total money divided by the numbers of day = 35/5 = 7 dollars
5.01 divided by 4.8
Answers
The value of 5.01 divided by 4.8 is approximately 1.04375.
What is division?Calculating how many times one quantity is contained within another using division is an arithmetic procedure. The quotient is the name given to the divisional outcome. Multiplication is undone by division, which is the inverse action of multiplication.
If we have two numbers, a and b, for instance, we can divide a by b by counting the number of times b enters into a. The outcome is the quotient, which is shown as a b or a/b.
Division is the inverse operation of multiplication, which describes the relationship between the two operations. In other words, we can use division to discover the other component if we know the product of two numbers and one of the factors.
The division is performed as:
4.8| 5.01000
4.80000
________
21000
19200
______
1800
1440
____
360
336
___
240
240
___
0
Hence, 5.01 divided by 4.8 is approximately 1.04375.
Learn more about division here:
https://brainly.com/question/15381501
#SPJ1
10
Use the line plots shown.
Seventh Graders
+
2 3 4 5 6 7
Hours of Homework
What can you conclude from the means?
The typical
Choose...
Eighth Graders
2 3 4 5 6 7
Hours of Homework
-grader has more homework than the typical
Choose...
-grader.
Answers
Answer:
Hey Mate
Here is Your answer
The typical Eighth grader has more homework than the typical Seventh grader
Which equation is equivalent to startroot x squared 81 endroot = x 10? x 9 = x 10 x 9 = x2 20x 100 x2 81 = x2 100 x2 81 = x2 20x 100
Answers
The equation \(\rm \sqrt{x^2 + 81} = x + 10\) is equivalent to \(\rm x^2 + 81 = x^2 + 20x + 100\). Then the correct option is D.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The equation is given below.
\(\rm \sqrt{x^2 + 81} = x + 10\)
Squaring both sides, we have
\(\rm (\sqrt{x^2 + 81})^2 = (x + 10)^2\\\\x^2 \ \ +\ \ 81 \ \ = x^2 + 20x + 100\)
Thus, the equation \(\rm \sqrt{x^2 + 81} = x + 10\) is equivalent to \(\rm x^2 + 81 = x^2 + 20x + 100\). Then the correct option is D.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Solve for c. b/c = a
Answers
Answer:
b / a.
Step-by-step explanation:
b / c = a
b = a * c
a * c = b
c = b / a.
Hope this helps!
Suppose a short seller shorts 1000 shares of Stock Dot Bomb. The price is $90 per share. The initial margin is 50%. Suppose the stock paid a dividend of $2 per share and then dropped to 70 . What is the return of this short sale transaction?
Answers
The return of this short sale transaction is -0.7556, or approximately -75.56%.
To calculate the return of the short sale transaction, we need to consider the initial investment, any dividend payments, and the final value of the shorted shares.
Initial Investment:
The short seller shorts 1000 shares of Stock Dot Bomb at $90 per share. Therefore, the initial investment is:
Initial Investment = 1000 shares * $90 per share = $90,000
Dividend Payment:
The stock paid a dividend of $2 per share. Since the short seller is the one who owes the dividend payment, they will incur a cost. Therefore, the dividend payment is:
Dividend Payment = 1000 shares * $2 per share = $2,000
Final Value of the Shorted Shares:
The stock price dropped to $70 per share. To calculate the final value of the shorted shares, we need to determine the difference between the initial price and the final price and multiply it by the number of shares:
Final Value of Shorted Shares = (Initial Price - Final Price) * Number of Shares
Final Value of Shorted Shares = ($90 - $70) * 1000 shares = $20,000
Return Calculation:
To calculate the return, we need to consider both the gains from the drop in the stock price and the cost of the dividend payment:
Return = (Final Value of Shorted Shares - Initial Investment + Dividend Payment) / Initial Investment
Return = ($20,000 - $90,000 + $2,000) / $90,000
Return = -$68,000 / $90,000
Return = -0.7556
Learn more about return here: https://brainly.com/question/26894032
#SPJ11
Determine whether it is possible to find values of L > 0 so that the given boundary-value problem has precisely one nontrivial solution, more than one solution, no solution, and the trivial solution.
Answers
To determine the solutions to the given boundary-value problem, we must first analyze the values of L. If L is greater than 0, then we can use Sturm-Liouville theory to solve the problem.
If L is chosen in such a way that the boundary-value problem has a unique solution, then we have precisely one nontrivial solution. However, if L is chosen so that there are multiple solutions, we have more than one solution.
If L is chosen in such a way that the boundary-value problem has no solution, then there are no solutions, including the trivial solution. The trivial solution is the solution where all the unknowns are set to zero.
Therefore, it is possible to find values of L > 0 so that the given boundary-value problem has precisely one nontrivial solution, more than one solution, no solution, and the trivial solution depending on how L is chosen.
Involving values of L > 0, boundary-value problems, and nontrivial solutions. To determine whether it is possible to find values of L > 0 so that the given boundary-value problem has precisely one nontrivial solution, more than one solution, no solution, and the trivial solution, follow these steps:
1. Identify the boundary-value problem in question. This typically involves a differential equation and boundary conditions.
2. Analyze the boundary conditions and the differential equation to see if there is a possibility of finding values of L > 0 that satisfy the problem.
3. Determine if there is a trivial solution, which typically corresponds to a zero solution, where all the components of the solution are zero.
4. Check for the existence of nontrivial solutions. This may involve solving the differential equation for particular values of L > 0 and applying the boundary conditions.
5. Compare the results from steps 3 and 4 to determine if there is precisely one nontrivial solution, more than one solution, no solution, or only the trivial solution.
Visit here to learn more about Sturm-Liouville theory:
brainly.com/question/12212553
#SPJ11
Are the ratios 17:10 and 2:1 equivalent?
Answers
Answer:
No, they don't have the same valueStep-by-step explanation:
Are the ratios 17:10 and 2:1 equivalent?
17 : 10 = 1.7
2:1 = 2
Question 1
One way to describe density is a substance or object's relative __________ compared to others of similar __________.
A. volume, surface area
B. volume, mass
C. heaviness, volume
D. mass, heaviness
Question 2
The matter of a Styrofoam cup is less tightly packed together than the matter of a glass cup.
The styrofoam cup is ______________ the glass cup.
Question 2 :
A. less dense than
B. equally as dense as
C. more dense than
Question 3
To measure density, one must know the mass and the volume of a substance or object. In general, density is a measure of how much mass per unit volume there is in a substance. The equation for calculating density is written as this:
p = m/v
P represents density. What do the m and the v represent?
A. m= milliliters, v=volume
B. m= mass, v=mL
C. m= volume, v=mass
D. m=mass, v=volume
Question 4
In chemistry, the density of many substances is often compared to that of __________. It has a density of 1 9/cm3
, which makes it easy to remember and a good point of reference for other substances.
A. air
B. water
C. rock
Question 5 :
What is the density of a piece of granite whose volume is 20 mL and mass is 53 grams?
2.75 g/mL
4.0 g/mL
2.65 g/mL
3.05 g/mL
Answers
Answer:
D. mass, heaviness
A. less dense than
D. m=mass, v=volume
B. water
B. 4.0 g/mL (density can be calculated by dividing the mass by the volume: p = 53 g / 20 mL = 2.65 g/mL)
What is the equivalent exponential expression for the radical expression below?
Answers
Answer:
B (a + b)^1/2
Step-by-step explanation:
\(\sqrt[m]{x^n} =a^{n/m}\)
Is the formula for radical to exponent notation.
-9 - (x + 1) = -2-(3x - 5)
Answers
Answer: The answer is x = 6.5
Gabe goes to the mall. If k is the number of items he bought, the expression 18.58k+30 gives the amount he spent in dollars at one store. Then he spent 22 dollars at another store. Find the expression which represents the amount Gabe spent at the mall. Then estimate how much Gabe spent if he bought 3 items.
Answers
The expression which represents the amount Gabe spent at the mall will be 18.58k + 52.
The amount that Gabe spent if he bought 3 items will be $107.74.
How to calculate the expression?From the information, Gabe goes to the mall. If k is the number of items he bought, the expression 18.58k+30 gives the amount he spent in dollars at one store and he spent 22 dollars at another store.
The expression which represents the amount Gabe spent at the mall will be:
= 18.58k + 30 + 22
= 18.58k + 52
The amount that Gabe spent if he bought 3 items will be:
= 18.58k + 52
= 18.58(3) + 52
= $107.74
Learn more about expressions on
brainly.com/question/723406
#SPJ1
how does a comparative descriptive design differ from a typical descriptive design? group of answer choices it compares statistics between the current time and an earlier time, whereas the typical descriptive design focuses on only one time period. it compares a number of variables and examines the relationship between them, whereas a typical descriptive design never does this. it differs in name only; both have the same design. it describes data from two different groups, whereas a typical descriptive design focuses on a single group.
Answers
a comparative descriptive design differs from a typical descriptive design in the sense that it describes data from two different groups, whereas a typical descriptive design focuses on a single group.
A comparative descriptive design is utilized to describe objects as well as investigate variances in possible variations normally in the two or more groups in a situation. A comparative descriptive design analyzes description data acquired from distinct groups, which may have been constructed according to gender, age, educational qualification, medical issue, or sickness intensity.
A descriptive design is frequently employed to examine variables in a single sample. This descriptive strategy entails identifying the variables inside phenomena of interest, then measuring and characterizing these variables. The description of the activities can lead to an assessment of the conceptual significance of the data, as well as the formulation of potential correlations or theories that might drive future correlational or quasi-experimental investigations.
learn more about comparative descriptive and typical descriptive design here: https://brainly.com/question/26057974
#SPJ4
The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household. Super Sitters charges a flat rate of $20 an hour per child.
For hours ______ of service, both babysitting services would cost the same.
Answers
15x + 25 = 20x
Subtract 15x from both sides:
25 = 5x
Divide both sides by 5 to isolate x:
x = 5
Answer:
i think its 7500
Step-by-step explanation: