Answer:
Length is 20 meters and width is 16 meters.
Step-by-step explanation:
Given: Perimeter of parallelogram is 72 meters.
Width of the parallelogram is 4 meters less than its length.
To find: Length and width of the parallelogram.
Solution: Let the length of the parallelogram be x meters. So, width of the parallelogram is [tex]x-4[/tex] meters.
As per question,
[tex]x+x+x-4+x-4=72[/tex]
[tex]4x-8=72[/tex]
[tex]4x=72+8[/tex]
[tex]4x=80[/tex]
[tex]x=\frac{80}{4}[/tex]
[tex]x=20[/tex]
Hence, length of the parallelogram is 20 meters, and width of the parallelogram is [tex]20-4=16[/tex] meters.
Which function below is the inverse of f(x)=x^2-25
f(x) = x^2-25
inverse:
y = x^2-25
x = y^2-25
y = sqrt(5 +25)
Answer is B
Students reported volunteering at the animal shelter during the last 6 months for 25, 36, 31, and 32 hours. What is the mean absolute deviation for the number of hours students volunteered? Round to the nearest tenth.
Answer: the answer is 3
Find b given that p(b,2) is equidistant from a(5,4) and b(2,5)
A rectangular rug covers the floor in a living room one of the walls in the same living room is painted blue. Are the rug and the blue wall parallel
If there are 12 boys in the class and 14 girls, what is the ratio of boys to all the students in the class?
Rhinestone Cowboy Dreadlock Holiday MacArthur Park Total Republican B 33 C 90 Democrat A 24 34 E Total 61 D 53 171 Which of the following can be determined from the table above? A. 2004-06-03-06-00_files/i0290000.jpg B. 2004-06-03-06-00_files/i0290001.jpg C. 2004-06-03-06-00_files/i0290002.jpg D. 2004-06-03-06-00_files/i0290003.jpg
B) On e2020 at least
Hope I helped!
The values that can be determined from the table are:
A = 23, B = 38, C = 19, D = 57 and E = 81
What are equations?Equations are expressions that have equal values, and they are represented by the "=" sign
How to determine the values of A to EThe table entries are given as:
Rhinestone Cowboy Dreadlock Holiday MacArthur Park Total
Republican B 33 C 90
Democrat A 24 34 E
Total 61 D 53 171
From the table, we have the following equations
[tex]B + 33 + C = 90[/tex]
[tex]A + 24 + 34 = E[/tex]
[tex]61 + D + 53 = 171[/tex]
The above equations become:
[tex]B + 33 + C = 90[/tex]
[tex]B + C = 57[/tex]
[tex]A + 24 + 34 = E[/tex]
[tex]A + 58 = E[/tex]
[tex]61 + D + 53 = 171[/tex]
[tex]D= 57[/tex]
Also from the table, we have the following equations
[tex]B + A = 61[/tex]
[tex]C + 34 = 53[/tex]
[tex]90 + E = 171[/tex]
Solve for C and E in the above equations
[tex]C + 34 = 53[/tex]
[tex]C = 19[/tex]
[tex]90 + E = 171[/tex]
[tex]E = 81[/tex]
Recall that:
[tex]A + 58 = E[/tex]
So, we have:
[tex]A + 58 = 81[/tex]
[tex]A = 23[/tex]
Recall that:
[tex]B + A = 61[/tex]
So, we have:
[tex]B + 23 = 61[/tex]
[tex]B = 38[/tex]
Hence, the values that can be determined from the table are:
A = 23, B = 38, C = 19, D = 57 and E = 81
Read more about tables and equations at:
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Nonstandard dice can produce interesting distributions of outcomes. you have two balanced, six-sided dice. one is a standard die, with faces having 1, 2, 3, 4, 5, and 6 spots. the other die has three faces with 0 spots and three faces with 6 spots. what are the possible values for the total number of spots y on the up-faces when you roll these two dice?
When rolling a standard die and another die with faces having either 0 or 6 spots, the possible total values y range from 1 to 12, excluding the numbers 5 and 6 twice due to the unique nature of the second die.
Explanation:The question asks about the possible values for the total number of spots y on the up-faces when you roll two nonstandard dice: a standard six-sided die with faces having 1, 2, 3, 4, 5, and 6 spots, and another die with three faces having 0 spots and three faces having 6 spots. To find y, we need to consider all the possible outcomes of rolling these two dice and summing the numbers of spots on the up-faces.
If the standard die shows a 1, y can be 1+0=1 or 1+6=7.If it shows a 2, y can be 2+0=2 or 2+6=8.If it shows a 3, y can be 3+0=3 or 3+6=9.If it shows a 4, y can be 4+0=4 or 4+6=10.If it shows a 5, y can be 5+0=5 or 5+6=11.If it shows a 6, y can be 6+0=6 or 6+6=12.Therefore, the possible values for y are 1, 2, 3, 4, 5, 5, 7, 8, 9, 10, 11, and 12.
A professional baseball team will play 1 game Saturday and 1 game Sunday. A sportswriter estimates the team has a 60% chance of winning on Saturday but only a 35% chance of winning on Sunday. Using the sportswriter's estimates, what is the probability that the team will lose both games?
A) 14%
B) 21%
C) 25%
D) 26%
E) 39%
Final answer:
To find the probability of losing both games, multiply the probabilities of losing each game together. The probability is 26%.
Explanation:
To find the probability that the team will lose both games, we can multiply the probabilities of losing each game together.
The probability of losing on Saturday is 1 - 60%, or 40%. The probability of losing on Sunday is 1 - 35%, or 65%. Multiplying these probabilities gives us 40% × 65% = 26%.
Therefore, the correct answer is (D) 26%
What is 4 pi cubed divided by 3
Sammy and David were selling waterbottles to raise money for new football uniforms Sammy sold 5 for every 3 waterbottles David sold together they sold 160 waterbottles how many did each boy sell
Both 2 and 5 are common factors of a number. The number is between 101 and 118. What is the number
The coordinate plane below represents a town. Points A through F are farms in the town.Part A: Using the graph above, create a system of inequalities that only contains points D and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points) Part B: Explain how to verify that the points D and E are solutions to the system of inequalities created in Part A.
(3 points)
When can I apply the use of the cubic function (y= a( x - h ) ^3 + k) in a real life situation?
-4=g+1
A. g=-4
B. g=4
C. g=-5
D. g=-3
Help please ! It’s practical math
Did I do number 2 right?
The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.
Solve for a.
multiply both sides by 2 to get
2A = (a+b)*h
divide both sides by h
to get 2A/h = a+b
subtract b from both sides to get a = 2A/h -b
3rd choice is correct
Option C - a = [tex]$\frac{2A-bh}{h}[/tex] is the correct alternative.
We have the formula for a trapezoid that relates the area - A, the two bases - a and b and the height - h as follows -
[tex]$A=\frac{(a+b)}{2} h[/tex]
We have to solve for ' a '.
Solve for x : x ( 1 + 2 + 3 + .... + n) = πOn solving -
x( 1 + 2 + 3 + .... + n) = π
[tex]\frac{xn(n+1)}{2} =\pi[/tex]
[tex]x =\frac{2\pi }{n(n+1)}[/tex]
According to the question, we have -
[tex]$A=\frac{(a+b)}{2} h[/tex]
2A = (a + b)h
2A = ah + bh
2A - bh = ah
a = [tex]$\frac{2A-bh}{h}[/tex]
Hence, Option C is the correct alternative.
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At an annual salary of 55000 per year what is the amount of semi monthly paychecks
Solve this equation for x round your answer to the nearest hundredth 0.43=log x
Of the 30 girls who tried out for lacrosse team at euclid middle school ,12 were selected .of the 40 boys who tried out 16 were selected .and the ratio of the number of studets on the team to the number of students trying out the same for both boys and girls ? how do you know
I don't know how to do this
2(6-7x) = -8(x+6)
multiply the numbers inside the parenthesis with the numbers outside of them:
12 -14x = -8x-48
add 12 to each side:
-14x =-8x -36
add 8x to both sides
-6x = -36
divide both sides by-6
x = 6
A house worth 120,000 is in an area where real estate is increasing in value at the rate of 8% per year. How much will the house be worth in 1 year?
P=21+2w the answer is w=p-21/2 I need the work to go along with it
A dependent variable is a. directly changed by the experimenter. b. manipulated by changes to the independent variable. c. a variable that is kept constant. d. a variable that is used as a control.
Answer:- Option b. is the right answer. A dependent variable is manipulated by changes to the independent variable.
Explanation:-
In mathematical modelling or scientific research a variable is defined as a term that has a quantity that varies. There are two kinds of variables:- 1) dependent variables 2) independent variables.
A independent variable can be change by the experimenter to check the effects on dependent variables which is observed by the him in a scientific experiment.
Thus, A dependent variable is manipulated by changes to the independent variable.
What is the equation of a horizontal line passing through the point (−3, 8)?
x = −3
y = 8
x = 5
y = −11
The equation of a horizontal line passing through the point (−3, 8) is y= 8
How to determine the equation of a horizontal line passing through the point (−3, 8)
From the question, we have the following parameters that can be used in our computation:
The point (−3, 8)
The equation of a horizontal line is of the form
y = c, where
c is a constant.
Since the line is horizontal, the value of y is constant for all points on the line.
In this case, the line passes through the point (−3,8), so the equation of the horizontal line is y = 8.
the table shows the annual profits (in thousands of dollars) of a county fair from 2008 to 2012. What must the 2012 profit be (in hundreds of dollars) to break even over the five-year period?
The 2012 profit must be 0.45 thousand dollars is equal to 4.5 hundred dollars to break even over the five-year period.
It is required to find the profit in 2012.
What is break even point?The break-even point is the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. It tells an owner the amount of revenue needed to cover all expenses, including fixed costs.
Given:
The break-even point is the point in which a business makes no gain and no loss.
According to given question we have
Let the 2012 profit be x, then
2.5 + 1.75 + (-3.3) + (-1.4) + x = 0
4.25 - 3.3 - 1.4 + x = 0
-0.45 + x = 0
x = 0.45
Therefore, the 2012 profit must be 0.45 thousand dollars is equal to 4.5 hundred dollars to break even over the five-year period.
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If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f*g) (x)?
Answer: The required expression is [tex]3x^3+2x^2+3x+2.[/tex]
Step-by-step explanation: We are given the following two functions :
[tex]f(x)=3x+2\\\\g(x)=x^2+1.[/tex]
We are to find the expression equivalent to [tex](f*g)(x).[/tex]
We know that
for any two functions p(x) and q(x), we have
[tex](p*q)(x)=p(x)\times q(x).[/tex]
Therefore, we get
[tex](f*g)(x)\\\\=f(x)\times g(x)\\\\=(3x+2)(x^2+1)\\\\=x^2(3x+2)+1(3x+2)\\\\=3x^3+2x^2+3x+2.[/tex]
Thus, the required expression is [tex]3x^3+2x^2+3x+2.[/tex]
The area of a square is 18 sq in less than twice the area of a triangle. the base of the triangle is 3 in longer and the altitude is the same length as the side of the square
Find two consecutive integers whose sum is 101
Find the area of triangle.