The side of square is (B) 5.7m
We are given the formula relating side and area of square. Using the mentioned formula to find the value of side of square.
Side² = Area
Rewriting the equation according to side of the square -
Side = √Area
Keep the values in formula to find the value of side of square
Side = √32
Finding square root of the number to find the value of side of square
Side = √(8×4)
Side = √(4×2×4)
Side = 4√2
Side = 4×1.414
Performing multiplication to find the value of side of square
Side = 5.66
Side = 5.7 meters
Hence, the side of square is (B) 5.7m
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Moya is moving to a new house and packing up. She has 70 kilograms of books and 127 kg kilograms of clothing to send through the postal service. How much more do her clothes weigh than her books? How much is her shipping cost of she has to pay $80 per kg of books and $200 per kg of clothing?
The difference in her clothes and her books will be 57kg.
The difference in shipping cost if she has to pay $80 per kg of books and $200 per kg of clothing will be $19800.
How to calculate the value?From the information, Maya has 70 kilograms of books and 127 kg kilograms of clothing to send through the postal service, the difference in her clothes and her books will be:
= Weight of clothes - Weight of books
= 127 kg - 70 kg
= 57 kg
The difference in shipping cost if she has to pay $80 per kg of books and $200 per kg of clothing will be:
= 127(200) - 70(80)
= 25400 - 5600
= $19800
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WILL GIVE BRAINLIST TO BEST ANSWER
Michael is a collage tutor. he charges a $50 to fee, and then makes $15 per hour that he tutors. if he made a total of $250 last month how many hours did he work?
What type of number is √/2?
Can someone help me express this as a single fraction, i’m not sure of my answer
Answer:
3x-6/2[tex]\sqrt{x-1[/tex]
Step-by-step explanation:
1. first we have to get the denominator the same, so we multiply by [tex]\sqrt{x-1[/tex] to the first fraction top and bottom which leaves as with
3(x-1)/2[tex]\sqrt{x-1[/tex] - 3/2[tex]\sqrt{x-1[/tex]
- we can expand the numerator of the first fraction which becomes
3x-3/ 2[tex]\sqrt{x-1[/tex] - 3/2[tex]\sqrt{x-1[/tex]
2. we can now subtract te fraction as we have the same denominator this gives us
3x-6/2[tex]\sqrt{x-1[/tex]
3. your final answer would be
3x-6/2[tex]\sqrt{x-1[/tex]
{If the question asked to simplify your answer you would rationalize your answer by multiplying top and bottom by [tex]\sqrt{x-1[/tex] to give you the answer of
(3x-6)[tex]\sqrt{x-1[/tex]/2x-2}
Solve the system of equations using a matrix
3 a+5 b=0
a+b=0
The solutions of a and b are 0 and 0 respectively using matrix.
Solving a system of linear equations using the inversion method involves two new matrices.Matrix A: representing variables Matrix B: represents a constant The system of equations can be solved by matrix multiplication which is given by [tex]X=A^{-1}B[/tex] ...(1)
We have given two equations 3a + 5b = 0 and a+b = 0
This can be written as AX=B
Where [tex]A=\left[\begin{array}{ccc}3&5\\1&1\\\end{array}\right][/tex] and [tex]X=\left[\begin{array}{ccc}a\\b\\\end{array}\right][/tex] , [tex]B=\left[\begin{array}{ccc}0\\0\\\end{array}\right][/tex]
A is the coefficient matrix, X the variable matrix and B the constant matrix.
[tex]|A|=3(1)-5(1)\\|A|=3-5=-2[/tex]
Since [tex]|A|\neq 0[/tex]
Hence, the system of equations is consistent and has a unique solution given
A inverse is given by [tex]A^{-1}=\frac{adjA}{|A|}[/tex] ....(2) and adj(A) is given by [tex]adjA=C^T[/tex]
[tex]M_{11}=1\\M_{12}=1\\M_{21}=5\\M_{22}=3[/tex]
Then Co -factors will be
[tex]C_{11}=1\\C_{12}=-1\\C_{21}=-5\\C_{22}=3[/tex]
Matrix C is represented by
[tex]C=\left[\begin{array}{ccc}1&-1\\-5&3\\\end{array}\right] \\\\C^T=\left[\begin{array}{ccc}1&-5\\-1&3\\\end{array}\right][/tex]
Putting |A| = -2 and transpose of C in equation (2) , we get
[tex]A^{-1}=\frac{1}{-2} \left[\begin{array}{ccc}1&-5\\-1&3\\\end{array}\right][/tex]
Putting the value of A inverse in equation (1) , we get
[tex]X=\frac{1}{-2} \left[\begin{array}{ccc}1&-5\\-1&3\\\end{array}\right]\left[\begin{array}{ccc}0\\0\\\end{array}\right]\\\\\left[\begin{array}{ccc}a\\b\\\end{array}\right]=\left[\begin{array}{ccc}0\\0\\\end{array}\right][/tex]
On comparing , we get a =0 , b= 0
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1. Which of the following does NOT show an identity property?
4x1=4
5+1=5
3-0=3
2+1=3
Answer: The Answer is 5+1=5 or B
Step-by-step explanation:
This is because 5+1 does not = 5
Hank's pickup can travel 90 miles on 5 gallons of gas. How many gallons will Hank's pickup need to travel 36 miles?
Hank's pickup will need
gallons of gas to travel 36 miles.
Twelve cubes are stacked and if we removed 2 of them how would the surface area change
If Twelve cubes are stacked its surface area is: 36a² and how would the surface area change if the top two cubes are removed is 6a².
Surface areaa. Surface area
If the length of one side is a the area of one surface is a²
Hence,
Area=a²
a²(6+6+6+6+6+6)
=36a²
b. Change in surface area change if the top two cubes are removed:
a²(6×2+5×2+4×2)
a²(12 + 10 + 8)
=30a²
Hence,
36a²-30a²
=6a²
Therefore If Twelve cubes are stacked its surface area is: 36a² and how would the surface area change if the top two cubes are removed is 6a².
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The ODDS IN FAVOR of a randomly selected person in a certain classroom is left handed are 4:21. What is the PROBABILITY that a randomly selected person from the room is left handed (as a percent!
P(Left)=
Can someone help me please I’ve been trying the last hour to figure this out
Answer:
It is the third one down.
Step-by-step explanation:
The two smaller angles would be the same measurement because the angle bisector cuts the big angle down the middle. So, if the big angle was 90°, the two smaller angels would be 45°.
Answer:
3
Step-by-step explanation:
its 3 because An angle bisector is a ray that divides an angle into two congruent angles if you multiply the measurement of GLH by two you will get the measurement of GLI. Which is the same as adding the measurement of GLH and HLI since they have the same measurement
Congruent: The same
Processes
- &Practices 3
Draw a Conclusion Myron has $1,698 in his
savings account. Robert has $1,898 in his savings account.
Toby has $100 less than Robert in his savings account.
Who has the least amount of money
Myron has least amount of money which is $1,698
According to the question
Given that ,
amount of saving of Myron is $1,698
amount of saving of Robert is $1,898
Toby has $100 less than Robert
amount of saving of Toby is $100 less than Robert
Robert has $1,898
amount of saving of Toby = $1,898 - 100
= $ 1,798
Myron has least amount of money which is $1,698
Savings account is a basic account type that lets you deposit money safely with a bank. It ensures safety and access to your money whenever you need. You can withdraw your funds, either digitally or in person, at any point in time.
Having a savings account is a liquid investment, so you have the ease of using your funds any time for transactions. A savings account also earns decent returns;
A savings account is like a virtual locker that safeguards your money and pays a certain amount of interest. As opposed to a fixed deposit (FD), you can use the money in your savings account whenever you need. A savings account also has other uses.
With your savings bank account, you make transactions, receive payments, pay your credit bills, and make investments. You can also pay for utilities such as electricity bills, ration, mobile phone recharges, and shopping. A savings account safeguards your money from theft and misplacement and reduces the stress that comes with carrying too much cash.
how to calculate saving
If the daily amount is Rs 3 lakhs and the interest rate on the savings account is 4% per year, the computation will be Interest on a monthly basis = Daily Balance * (Number of days) *Interest / (Days in the year)3 lakhs * 30 * (4/100) / 365 = Rs 986 per month in interest Daily
balance: 3 lakh
Number of days: 30
Interest: 4%
Days in the year: 365
According to Bank, "Savings bank interest will be calculated on the daily balances maintained in your account. Savings Bank interest will be paid at quarterly intervals."
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the height of a triangle is twice its base the area is 144cm³ find the base
Answer:
Base = 12cm
Height = 24cm
Step-by-step explanation:
Hello glittersplanet,
The formula for the area of a triangle is A = 1/2 b * h where A equals the area, b equals the base, and h equals the height. You are given the area in this problem.
Let the following conditions apply:
Base = x
Height 2x <-------Problem states the height is twice its base, correct?
Therefore:
A = 1/2 b*h
144 = 1/2 (x)(2x)
Simplify by removing the fraction by multiplying through by 1/2 and you are left with x^2 correct? Therefore:
144 = x^2
x = √144
x = 12
Therefore, base = x = 12 while height = 2x = 2(12) = 24
x = √144
Footing-x=12
Height-x2=24
For ΔABC, m∠A = 32.1° and m∠B = 101.7°. Determine m∠C. 133.8° 69.6° 46.2° 43.8°
The unknow angle of the triangle is as follows:
m∠C = 46.2°
How to find the angle of a triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
In simpler term, a triangle is a kind of polygon that 3 sides and 3 angles.
Therefore, the sum of angles in a triangle is equals to 180 degrees.
Hence, the sum of angles in ΔABC is 180 degrees.
Therefore,
m∠A + m∠B + m∠C = 180°
m∠A = 32.1°
m∠B = 101.7°
m∠C = x
32.1 + 101.7 + x = 180
x + 133.8 = 180
x = 180 - 133.8
x = 46.2 degrees.
Therefore, the unknow angle of the triangle is as follows:
m∠C = 46.2°
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Answer: 46.2
Step-by-step explanation:
Find the inverse of each function. Determine whether each inverse is a function. f(x)=√x+6
The inverse of the function f(x)=√x+6 will be x²-12x+36.
Inverse function-A function that can reverse into another function is known as an inverse function or anti-function.
The given function is,
f(x)=√x+6
As we know inverse of the function is shown as,
y = f(x)
y=√x+6
For inverse function, we have to replace the variable's place value,
x=√y+6
√y=x-6
Squaring both sides,
(√y)²=(x-6)²
y=x²+36-12x
Hence,the inverse of the function f(x)=√x+6 will be x²-12x+36.
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540 was rounded to the nearest ten.
What is the lower bound?
Please help with problem 11
Answer:
option a is the right answer
Answer:
Step-by-step explanation:
Ok so vertical means straight up and down if you have forgotten so
First lets look at 2x=y no that is not correct because it is not going striagt up and down
The answer is C so I dont have to go through them all it is C
Each pair of values is from an inverse variation. Find the missing value. (2,5),(4, y)
The missing value of inverse variation is 2.5
What is Inverse variation ?The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.
Let say if x and y are two values and k is a constant value, then
According to inverse variation
k = xy or y = k/x
In the given question,
Take the order pair (2,5)
As it is an inverse variation, we can substitute it
y=k/x
5=k/2
K=10
Now find the inverse variation equation
y=k/x
Also, k=10
Solve this equation for the second pair (4,y)
As, y=k/x
y = 10/4 = 5/2 = 2.5
Therefore, missing value is 2.5
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Write each expression in exponential form. ∛y⁸
The exponential form of the expression= [tex]y^{8/3}[/tex]
To expresses it in an exponential form we have expression:
[tex]\sqrt[3]{y^{8} }[/tex]
As we have to express as
[tex]a^{m}[/tex]/ [tex]a^{n}[/tex] = [tex]a^{m}[/tex][tex]a^{-n}[/tex]
= [tex]a^{m-n}[/tex]
From the question we have
[tex]\sqrt[3]{y^{8} }[/tex]
[tex](y^{8}) ^{1/3}[/tex]
[tex]y^{8/3}[/tex]
Therefore the exponential form of the expression is [tex]y^{8/3}[/tex]
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Suppose that x and y vary inversely. Write a function that models each inverse variation and find y when x=-5 . x=25 when y=2
Function models for inverse variation is y = 50.1/x and find y when x=-5 will be -10.
What is a function model?A function model or functional representation is an organized depiction of the functions (activities, actions, processes, and operations) inside the modeled system or subject area.
Inverse variation formula is y = k. 1/x
⇒ for x = 25 and y = 2,
The value of k will be -
k = y . x
k = 25 . 2
k = 50
⇒ y = 50 . 1/x is our function
⇒ for x = -5,
⇒ y = 50 / -5
⇒y = -10
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3 to the power of -6 as a fraction
Answer:
[tex]3^{-6} = \left(\frac{1}{3}\right)^{-6}[/tex]
Answer:
Step-by-step explanation:
Exponent Law a^-r = 1/a^r
(1/3^6)
Find the equation of the line that contains the point (4, -2) and is perpendicular to the line y =
○ y = -x
Oy=2x-10
O y = -2x+6
Oy=x-4
- 2x + 8.
Answer:
b
Step-by-step explanation:
The endpoints of CD are C (1, -6) and D (7, 5). Find the coordinates of the midpoint M by using the Midpoint Formula.
the mid point of the points C and D is M = ( 4 , - 1 / 2 ).
We are given the coordinates of the point:
C ( 1 , - 6 )
D ( 7 , 5 )
We need to find the mid point M for it.
Here, we have:
x₁ = 1
x₂ = 7
y₁ = - 6
y₂ = 5
We know that the formula for mid point is given by:
M = ( x₁ + x₂ / 2, y₁ + y₂ / 2 )
Substituting the values, we get that:
M = ( 1 + 7 / 2 , - 6 + 5 / 2 )
M = ( 8 / 2 , - 1 / 2 )
M = ( 4 , - 1 / 2 )
Therefore, we get that, the mid point of the points C and D is M = ( 4 , - 1 / 2 ).
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Write a function for each situation. Then find the value of each function after five years. Round to the nearest dollar. A baseball card bought for $ 50 increases 3 % in value each year.
$57.96 is the value of each function after five years.
How does exponential growth utilise e?
e is the constant growth rate that all processes that are growing continuously share. With e, you may compare a simple growth rate—where all change occurs at the end of the year—with a compound, continuous growth rate, where growth occurs once per nanosecond or quicker.Let the principle sum be P
Let the number of years be n
Thus the total sum for n years is
P( 1 + 3/100)ⁿ → P( 103/100)ⁿ
= $50 ( 103/100)⁵
= $57.96
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make d the subject of the formular h=d/3+2
Answer:
3h - 6
Step-by-step explanation:
→ Minus 2 from both sides
h - 2 = d / 3
→ Multiply both sides by 3
3h - 6 = d
Step-by-step explanation:
h=d/3+2
h=d/5
d=5h
please mark brainiest
Why is math soooo hard?
Answer: because it's is involved in everyday life, without math we would never have a fraction of the technology we have today
Step-by-step explanation:
Answer: we have to use our brain- =w=
Step-by-step explanation:
so basically right we should only need to know how to count money and maybe multiply bc thats what u do in life why do we need to do algebra for real life ocasions- smh
One half of a number is more than six less than the same number. Describe what numbers will work.
The numbers that will work are all numbers less than 12
How to describe what numbers will work?The statement is given as:
One half of a number is more than six less than the same number
Let the number be represented with x
So, the mathematical expression is
1/2x > x - 6
Subtract x from both sides
-1/2x > -6
Multiply both sides by -2
x < 12
Hence, the numbers that will work are all numbers less than 12
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Write the expression that represents the total length of each segment shown.
The expressions for the total length of each segment are x + 1, d + 4, and y + 3.
The total length of the segments will be the sum of the part so the segments.
Let's say a line segment AB is divided into two parts x and y then the expression for the length of the segment will be x + y.
Now,
For the first segment,
The two parts are x and 1.
The expression of the total length of the segment is:
x + 1
For the second segment,
The two parts are d and 4.
Then the expression for the total length of the segment is:
d + 4
For the third segment,
The two parts are y and 3.
Then the expression for the total length of the segment is:
y + 3
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The complete question is mentioned below:
Write the expression that represents the total length of each segment shown.
Triangle PQR is formed by connecting the midpoints of the side of triangle MNO. The lengths of the sides of triangle PQR are shown. What is the length of MN? Figures not necessarily drawn to scale.
The length of segment [tex] \overline{MN} [/tex] found using properties of an equilateral triangle and segment addition postulate is 10
What is segment addition postulate?Segment addition postulate states that a line AC contains a point B if we have AB + BC = AC
The sides of ∆PQR are equal to 5, therefore, ∆PQR is an equilateral triangle
According to the mid segment theorem, we have;
RQ || MN
RQ = 0.5 × MN
RP || ON
RP = 0.5 × ON
PQ || MO
PQ = 0.5 × MO
Therefore, from alternate interior angles theorem, we have;
‹PRQ = ‹RPM
‹PQR = ‹QPN
‹QRP = ‹RQO
However, ‹PRQ = ‹PQR = ‹QPR = 60°, which gives;
∆MRP and ∆QPN are equilateral triangles of side length 5
From which we have;
MR = RP = MP = 5
PN = QN = PQ = 5
MN = MP + PN; Segment addition postulate
Therefore;
MN = 5 + 5 = 10
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Please help me please help me
Answer:
Step-by-step explanation:
Anytime something does a 180 rotation it just flips the sign
Example: (-4, -6) 180 rotation (4, 6)
So for yours, it would be (-1, -2) 180 rotation (1, 2)
If you are still confused don't hesitate to ask :)
During a science experiment,the temperature of a solution in beaker 1 was 5 degrees below zero. The temperature of a solution in Beaker 2 was the opposite of the temperature in beaker 1. What was the temperature in beaker 2?
A. - 5 degrees
B- 0 degrees
C- 5 degrees
D- 10 degrees