Answer:
Step-by-step explanation:
I assume the box is a rectangular figure
Volume, V=L*W*H
V=11*8*6=528 in^3
528*1/10=52.8 in^3
solve the matrix and prove that it is equal 0
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}[/tex][tex] \underline{ \underline { \text{To \: Find}}} : [/tex]
[tex] \sf{ {A}^{2} - 5A+ 22I= 0}[/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.
[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]
Now , LEFT HAND SIDE ( L.H.S )
[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]
⟼ [tex] \sf{0}[/tex]
RIGHT HAND SIDE ( R.H.S ) : 0
L.H.S = R.H.S [ Hence , proved ! ]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Answer:
Step-by-step explanation:
\underline{ \underline{ \text{Given}}} :
\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}
\underline{ \underline { \text{To \: Find}}} :
\underline{ \underline{ \text{Solution}}} :
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}
. Again , Interchange it's rows and columns in order to find ' A '.
\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}
Now , LEFT HAND SIDE ( L.H.S )
\tt{ {A}^{2} - 5A+ 22I}
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}
⟼ \sf{0}0
RIGHT HAND SIDE ( R.H.S ) : 0
OMG I REALLY NEED SOME HELP! THIS IS DUE IN 3 MINUTES!
Step-by-step explanation:
8) all real numbers.
10)
[tex]y = a {b}^{x} \\ 12 \div 4 = 3 \\ b = 3 \\ a = 4 \\ y = 4 \times {3}^{x} [/tex]
If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?
Answer:21.87
Step-by-step explanation:
196.83 divided by 9
Answer:
They each cost $21.87
Step-by-step explanation:
If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.
An airplane flies at a constant speed of 760 miles per hour. How long will it take to travel a distance of 3040 miles?
Answer:
760x=3040, 3040/760=4
answer=4
Step-by-step explanation:
You deposit $1,000 Into a bank account. The account pays 3.75% annual Interest compounded monthly. Find the balance after 6 years. Round answers to two decimal places
What is the circumference of a circle with a radius of 86 inches? use 3.14 for PI
Step-by-step explanation:
[tex]circumference = 2\pi\: r \: \\ = 2 \times 3.14 \times 86 \\ = 540.08[/tex]
Answer:
540.08
Step-by-step explanation:
Help meee 50 points explain ALL OF IT if you really do it ill give you 200 points pls
Answer:
Explain what there is no picture
Step-by-step explanation:
Hai!
1. He is Considering 3 Themes: Space, Safari, and Comics.
2. He is Considering 2 Places: Skating rink and the Park.
3. He is Considering 3 Days of the week: Friday, Saturday, and Sunday.
4. EXAMPLE 1 One possibility is that Noah is considering is a party with a Safari Theme at the park on Friday EXAMPLE 2 One possibility is that Noah is considering is a party with a Comics Theme at the park on Saturday
5. There is 21 Possible Outcomes
Hope I helped. Best of luck! :3
Can somebody help me?? pleasee
Answer: the nswer is
Step-by-step explanation:
Answer:
9/15
Step-by-step explanation:
please help me plz im begging u
Answer:
B
Step-by-step explanation:
2x + 5y = -24
3x - 5y = 14
Solve by elimination
y and x
Answer:
x = -2
y = -4
Step-by-step explanation:
The way systems of equations work is that you have to substitute to solve for a variable *(only one of the 2 ways to figure this out)*
so, we will use addition property of equality in a form to add the two equations together, since +5y and -5y added together will cancel out.
that would leave
5x = -10
divide both sides by 5
x = -2
Now that we know x = -2, we can plug in -2 into one of the equations to find y.
2 ( -2) + 5y = -24
-4 + 5y = -24
-4 + 4 + 5y = -24 + 4
5y = -20
y = -4
x = -2
y = -4
Please help me, with the last algebra questions I have. And just to note,
a= 2, b= 3, and c=4.
*25 points, + brainiest.*
*Algebra question.*
Answer:
5 is 14
6 is 10
7 i cant really see it well but i believe is is -4
Step-by-step explanation:
Answer:
Solve for the missing components of the triangle.
A
=
28.95502437
B
=
46.56746344
C
=
104.47751218
a
=
2
b
=
3
c
=
4
Step-by-step explanation:
help me for brainlist
Answer:
its c 14
Step-by-step explanation: because 16x30=480 subract that from the total then mutiply it again and thats your answer
Hopefully this can help
Answer:
h = 14 in
Step-by-step explanation:
Volume = length • width • height
6,720 = 30 • 16 • h combine like terms by multiplying 30 and 16
6,720 = 480h divide both sides by 480
h = 14 in
Can y'all help me with this
how to change .75 to a percentage NOW
Answer:
Move the decimal place over to the left two spaces
.75--> 7.5--> 75%
and reverse
75%--> 7.5--> .75
Step-by-step explanation:
brainliest plz
Answer:
75%
Step-by-step explanation:
"Percent" means "per 100" or "over 100". So, to convert 0.75 to percent we rewrite 0.75 in terms of "per 100" or over 100.
Multiply 0.75 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.
0.75 100 75
-------- x -------- = -------- which equals to 75%
1 100 100
Hope this helps
can i have brainliest plz
5. Consider the image below of a pasture at McDonald's Farm.
750 ft
45°
Part A: If McDonald wants to fence in the square pasture and barbed-wire
fencing costs $1.15 per foot, then determine the cost to fence in
the pasture.
Part B: If McDonald wants to cover the square pasture in fertilizer, then he
needs to determine the area of the pasture. What is the area of
the pasture to the nearest hundredth?
Answer:
Step-by-step explanation:
The area of the square pasture is given by the leg length of the right
triangle which is the same as the side length of the square.
Correct responses:
Part A: $2,439.5Part B: 281, 250 ft.²Method by which the above responses are obtainedPart A
The given triangular side is a right triangle.
Length of the hypotenuse and an acute angle of the right triangle are;
750 ft. and 45°
Therefore;
Leg length of the right triangle = Side length of the square
Leg length of the right triangle = 750 ft. × sin(45°) = 375·√2 ft.
Side length of the square pasture, s = 375·√2 ft.
Perimeter of the fence = 4 × 375·√2 ft. = 1500·√2 ft.
Cost per foot for fencing = $1.15
The cost to fence the square pasture = $1.15/ft. × 1,500·√2 ft. ≈ $2,439.5Part B:
The area, A, of the square pasture is given by A = s²
Which gives;
A = (375·√2)² = 281,250
The area of the square pasture is A = 281,250 ft.²
Learn more about trigonometric ratios here:
https://brainly.com/question/1757727
https://brainly.com/question/13998756
HELP PLEASE THIS IS HARD!!!
Solve and check
6x - 5x + 7x = 34
Answer:
Step-by-step explanation:
6x-5x+7x=34
x+7x=34
8x=34
x=[tex]\frac{34}{8}[/tex]
Answer:
X= 5 2/3
Step-by-step explanation:
Combine Like terms
6x=34
Inverse Operation
x=35/6
Simplify
X=5 2/3
A coffee table is on sale for 20% off the original price of $115.
If there is 7.5% sales tax, what is the final price of the coffee table?
Answer:
The answer would be around $98.90
If 7 buses can transport 280 persons how many persons can be carried by 12 buses
Step-by-step explanation:
672 I'm pretty sure cus yea oop-
Answer:
480
Step-by-step explanation:
280/7 = 40
40x12 = 480
What are the coordinates of the point?
Answer:
(6,-4)
Step-by-step explanation:
Answer:
(6,-4)
Step-by-step explanation:
PLEASE HURRY!! What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answer:
the slope = -⅓
The difference between six times a
number and one is seventeen
Can someone pleaseee help me solve this
find the exact trig value [tex]cos(11\pi /6)[/tex]
Please help! Tysmm :))
Find the distance AB. Give your answers correct to 1 decimal place
Answer:
AB= 8.1
AB=7.8
Step-by-step explanation:
[tex]ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } [/tex]
[tex] = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} [/tex]
[tex] = \sqrt{65} = 8.1[/tex]
[tex]ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } [/tex]
[tex]= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} [/tex]
[tex] = \sqrt{61} = 7.8[/tex]
2.5 × 30 = ___________ tenths × 30 = ______
Help lol I dunno what to do
Answer:
same
Step-by-step explanation:
Answer:
The answer is 9.2
Step-by-step explanation:
please help it due in some time
Answer:
i think that it would be A.
Step-by-step explanation:
Graph the line that passes through the points (1,-9) and (1,-3) and determine the equation of the line
Answer:
x = 1
Step-by-step explanation:
Note that the x-coordinates of the two given points are identical. This tells us immediately that the line is a vertical one whose slope is undefined.
The equation of this line is x = 1.
Select all of the true statements.
A. 4.8 + (-8.9) = -13.7
B. 12+(-3) = -9
C. -9.-0.1 = 90
D. -4+ 4 =
Answer:
D
Step-by-step explanation:
-4+4=0 which is correct
4.8-8.9=-4.1 wrong
12-3=-9 wrong
-9-0.1=90 wrong
