The dimensions of the cardboard envelope are length, 13.1 cm and width, 13.1 cm.
Since the cardboard envelope for a compact disc is a square with an area of 171.61 square centimeters, the area, A of the cardboard envelope = 171.61 cm².
Since the cardboard envelope is a square, its area is A = L² where L = length of side the cardboard envelope = dimension of cardboard envelope.
To find the dimensions of the cardboard envelope, we take the square-root of the area of the cardboard envelope.
Since A = L²
L = √A
substituting the value of A = 171.61 cm² into the equation, we have
L = √A
L = √(171.61 cm²)
L = 13.09 cm
L ≅ 13.1 cm
Since the length of side of the cardboard envelope is 13.1 cm and its is a square, both dimensions are equal. That is, its length and width are equal.
So, the length of the cardboard envelope is 13.1 cm and the width of the cardboard envelope is 13.1 cm
So, the dimensions of the cardboard envelope are length, 13.1 cm and width, 13.1 cm.
Learn more about cardboard envelopes here:
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SAT/ACT What is the solution of 1,200 – 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250
The answer you are looking for is letter A, x=30.
Solution/Explanation:
First, write out the equation,
1200-5(3x+30)=600
Next, using the Distributive Property,
1200-15x-150=600
Simplify the left side of the equation just a little bit more,
1050-15x=600
Reverse order of terms on the left side, to make it a little bit easier to solve,
-15x+1050=600
Now, subtract 1050 from both sides,
-15x+1050-1050=600-1050
Now, simplify this part of the equation,
-15x=-450
Finally, divide both sides by -15,
So, therefore, the final answer is x=30.
I hope this helped you. Enjoy your day, and take care!
For the transition matrix P = [0.8 2 0.2 2, 0.3 0.7], solve the equation SP = S to find the stationary matrix S and the limiting matrix Upper P overbar.
Answer:
Stationary matrix S = [ 0.6 0.4 ]
limiting matrix P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]
Step-by-step explanation:
Transition matrix
[tex]p = \left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex]
solving the equation SP = S ( using Markova chain with 2 states )
stationary matrix, S = [ a , 1 - a ]
given that SP = S
[ a , 1 - a ] * [tex]\left[\begin{array}{ccc}0.8&0.2\\0.3&0.7\\\end{array}\right][/tex] = [ a , 1 - a ]
= a*(0.8) + ( 1 - a ) ( 0.3 ) = a
∴ a = 0.6
hence; stationary matrix S = [ 0.6 0.4 ]
limiting matrix P = [tex]\left[\begin{array}{ccc}0.6&0.4\\0.6&0.4\\\end{array}\right][/tex]
I NEEDDD HELPPP ITSSSSSS URGENTTTTT!!!
Basically count/add up the total amount of degrees that are include in the angle <FHD.
-- (central angles)
So, 35 + 65 = 100 degrees
Find the length of x
Answer:
20
Step-by-step explanation:
Since the triangles are similar then the sides must be proportional
10/6 = x/12 cross multiply expressions
6x = 120 divide both sides by 6
x = 20
Carrie is asked to draw a triangle with the following specification
• at least two angles measuring 60°
Which of the following statements about this triangle is true?
A. One and only one triangle exists with the given condition, and it must be an equilateral triangle
В.
More than one triangle exists with the given condition, and all instances must be equilateral triangles
C
One and only one triangle exists with the given condition, and it must be an isosceles triangle
D
More than one triangle exists with the given condition, and all instances must be isosceles triangles
Answer:
just put in the cheat codes of life its not that hard
Answer:
answers is B
(Study island)
Step-by-step explanation:
mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.
mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.
Solution:-Total mean score = 40
[tex]mean \: = \frac{sum \: of \: observation}{number \: of \: observations} [/tex]
sum of observations
= mean × no of observations
= 40×100
= 4000
After the replacement, sum of new observation will be
=4000-83+53
= 3970
mean of new the observation will be
[tex] = \frac{3970}{100} [/tex]
[tex] = 39.7[/tex]
[Hence, the actual mean is 39.7]
The system of linear equations x – y + 2 = 0 and 2x + y -14 = 0
Answer:
(4, 6 )
Step-by-step explanation:
Given the equations
x - y + 2 = 0 ( subtract - y + 2 from both sides )
x = y - 2 → (1)
2x + y - 14 = 0 → (2)
Substitute x = y - 2 into (2)
2(y - 2) + y - 14 = 0 ← distribute and simplify left side
2y - 4 + y - 14 = 0
3y - 18 = 0 ( add 18 to both sides )
3y = 18 ( divide both sides by 3 )
y = 6
Substitute y = 6 into (1) for corresponding value of x
x = 6 - 2 = 4
solution is (4, 6 )
Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows???
Answer:
55 waysStep-by-step explanation:
Out of 12 consecutive integers:
3 - divide by 4, so the remainder is 0 3- give remainder of 1 3- give remainder of 2 3 - give remainder of 3Sum of 3 integers will be divisible by 4 if the remainders are:
0 - 0 - 0 ⇒ 1 combination 0 - 1 - 3 ⇒ 3*3 = 9 combinations 0 - 3 - 1 ⇒ 3*3 = 9 combinations 1 - 1 - 2 ⇒ 2*3 = 6 combinations 1 - 2 - 1 ⇒ 2*3 = 6 combinations 2 - 1 - 1 ⇒ 2*3 = 6 combinations 3 - 0 - 1 ⇒ 3*3 = 9 combinations 3 - 1 - 0 ⇒ 3*3 = 9 combinationsSo total number of combinations is:
1 + 9*4 + 6*3 = 55Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?
Answer:
216
Step-by-step explanation:
Volume of a rectangular prism = area of base * depth
Area of base: 72
Depth: 3
Volume = 72 * 3 = 216
Write the equation of the graph shown below in factored form?
Answer:
1st option
Step-by-step explanation:
If x = a is a zero of f(x) then (x - a) is a factor of f(x)
Here the zeros ( where the graph crosses the x- axis ) are
x = - 2, x = 1, x = 3 , then the corresponding factors are
(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)
f(x) is then the product of the factors , that is
f(x) = (x + 2)(x - 1)(x - 3)
4. Find f(x) - g(x)
4 options to chose from
Answer:
Last option
-10x³ + 2x - 8
is the answer
HOPE IT HELPS YOU
What is the slope of the line with these points (5, -3) (6, -1) (7, 1)
Answer:
4/2
Step-by-step explanation:
Rise/Run
4/2
Answer:
2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-3) / 6 - 5
= 2/1
= 2
please help me with these equations and please show the steps
Answer:
I have explained the answer in detailed steps for you. If you do not understand any steps, please comment below, and I will help you out.
what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°
Answer:
139
Step-by-step explanation:
Supplementary angles add to 180 degrees
BOC + 41 = 180
BOC = 180-41
BOC = 139
Help!!
Slove for x.
A.11
B.9
C.13
D.14
Answer:
x = 11
Step-by-step explanation:
Given 2 secants to a circle from an external point , then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
7(7 + x) = 6(6 + 15) ← distribute left side
49 + 7x = 6 × 21 = 126 ( subtract 49 from both sides )
7x = 77 ( divide both sides by 7 )
x = 11
Can someone help me pls
Answer:
No solution
Step-by-step explanation:
A solution for a system of equations entails that all variables are the same. In this case, it means that both x and y must be the same.
Looking at the graph, there is no spot where y=3x+3 and 3x-y=2 intersect
To confirm, we can look at the equations. If we make them both equal to y, we can set them equal to each other.
For y=3x+3, this is already set to y. For 3x-y=2, we can add y to both sides and subtract 2 from both sides to get
3x-2=y
3x+3=y
Since the x and y values must be the same, we can say that
3x-2=3x+3
subtract 3x from both sides
-2 = 3
Since -2 is not equal to 3, we can confirm that there are no solutions to this system of equations
What is an example in your house of a point ?
Answer:
Step-by-step explanation:
Nothing. A point is dimensionless. Ugh what an awful LOL.
How about the tip of a candle that has never been lit?
what is the area of a rectangle with L= 6.8 cm and W= 4.5 cm
Answer:
30.6 cm
Step-by-step explanation:
length times width gives you the area of a normal 2d triangle
Which inequality is not true?
- 7/8 < -0.60
- 7/8 > -0.50
-7/8 > - 15/16
-7/8 < - 1/4
Answer:
b -7/8 > -0.50
Step-by-step explanation:
is your answer
Answer:
- 7/8 > -0.50
Step-by-step explanation:
-7/8 =-.875
Change to get decimals with decimals or fractions to have a common denominator
-.875 < -0.60 true
-.875 > -0.50 false
-14/16 > - 15/16 true
-7/8 < - 2/8true
What's the slope (-3,6),(-3,4)
Answer:
undefined
Step-by-step explanation:
Here,
x1 = - 3
y1 = 6
x2 = - 3
y2 = 4
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 4 - 6 ) / ( - 3 - ( - 3 )
= - 2 / 0
= undefined
Answer:
The slope is undefined.
Step-by-step explanation:
slope(m):
y2-y1/x2-x1
4-6 / (-3)-(-3)
-2 / 0
undefined ∞
What is the smallest 3-digit palindrome that is divisible by both 3 and 4?
Answer:
252
Step-by-step explanation:
To be divisible by 3, it's digits have to add to a number that is a multiple of 3.
To be divisible by 4 its last 2 digits have to be divisible by 3.
So let's start with 1x1 which won't work because 1x1 is odd. so let's go to 2x2 and see what happens.
212 that's divisible by 4 but not 3
222 divisible by 3 but not 4
232 divisible by 4 but not 3
242 not divisible by either one.
252 I think this might be your answer
The digits add up to 9 which is a multiple of 3 and the last 2 digits are divisible by 4
What is 3.7 as a mixed number
Help ASAP I’ll mark you as brainlister
Answer: Try 2. This is my best guess
A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk
each day. They give 24 litres milk in six days. How many cows are there in the herd?
Answer:
4 divided by one third then you take the answer and divide it with 24
hope i could help
Express 2³a²b in factor form
The given expression can be written in factor form as 4a(2ab)
Given:
2³a²b to be expressed in factor form
To express the above given expression in factor form follow the steps below;
expand the expression = 2³a²b = 2 x 2 x 2 x a x a x b)factorize by using the common factor = 4a(2ab)Finally, the given expression can be written in factor form as 4a(2ab)
To learn more about factorization, please visit: https://brainly.com/question/11909547
the cost of an article is Rs 10,000 and it is sold at same profit. if a customer bought it for Rs 12430 with 13% VAT calculate the profit percent on the article.
Answer:
Percentage profit = 11.3%
Step-by-step explanation:
Given the following data;
Vat = 13% = 13/100 = 0.13Cost price = 10,000Selling price = Rs 12430To calculate the profit percentage on the article;
First of all, we would determine the value-added (vat) tax levy;
Vat levy = 0.13 * 10000
Vat levy = Rs. 1300
Profit = selling price - cost price
Profit = 12430 - 10000
Profit = 2430
Profit after vat;
Profit after vat = Profit - Vat levy
Profit after vat = 2430 - 1300
Profit after vat = 1130
Next, we would calculate the profit percentage on the article;
[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]
Substituting the values into the formula, we have;
[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]
[tex] Percentage \; profit = \frac {113000}{10000} [/tex]
Percentage profit = 11.3%
Find the measurement of the diagonal indicated in the following parallelogram
Answer:
If KF = 19, then KM = 38.
Step-by-step explanation:
The point that intersects the two diagonals of a symmetrical quadrilateral marks the halfway point of the diagonals. Since we know that KF = 19 and that 2(KF) = KM, as KM is a diagonal of this parallelogram, we just do the following:
2(KF) = KM
2(19) = KM
38 = KM
What is the length of segment FH?
Answer:
FH ≈ 15.20
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = (part of hypotenuse below it ) × (whole hypotenuse )
FH² = 11 × (11 + 10) = 11 × 21 = 231 ( take the square root of both sides )
FH = [tex]\sqrt{231}[/tex] ≈ 15.20 ( to 2 dec. places )
If a man wishes to glue 5 lengths of board each 2'3" long, what is the total length?
(A) 10'
(B) 10'3"
(C) 11'
(D) 11'3"
(E) 12
Answer:
The answer is D: 11'3"
Step-by-step explanation:
2. Determine the measure of the angles indicated by letters. Justify your answers with the
properties or theorems you used.
Answer:
a = 50°
b = 130°
c = 50°
d = 50°
e = 130°
f = 130°
g = 50°
Answered by GAUTHMATH
