Answer:
LSA of a cube = 100 in²
Explanation:
Let the area of the cube be a.
Given the following data;
a = 5 in²
To find the lateral surface area;
We know that a cube has four faces and as such the lateral surface area would be the area of the four faces.
Lateral surface area (LSA) of a cube = 4a²
Substituting into the equation, we have;
LSA of a cube = 4*5²
LSA of a cube = 4*25
LSA of a cube = 100 in²
Therefore, the lateral surface area of the package is 100 square inches.
THe Left one
The bottom and the left lateral face have the largest area.
The area of the prism is 96 cm³.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The bottom one:
Lateral area.
= 12 x 4
= 48 cm²
The left one:
Lateral area.
= 12 x 4
= 48 cm²
The diagonal one:
Lateral area.
= 1/2 x 4 x 4
= 8 cm²
Now,
Area.
= ( 1/2 x 4 x 4 ) x 12
= 8 x 12
= 96 cm³
Thus,
The bottom and the left lateral face have the largest area.
The area of the prism is 96 cm³.
Learn more about prism here:
https://brainly.com/question/12649592
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Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9
Answer:
The question is unclear. Please provide the table.
A $350 purchase is discounted 15%. You use a 20% coupon. What is the total paid?
Answer:
238 should be the answer
Step-by-step explanation:
5x+20=55 what does x equal?
Answer:
5x+20=55
5x=55-20
x=30/5=7
Answer:
x = 7
Step-by-step explanation:
5x + 20 = 55
- 20 - 20
5x (÷5) = 35 (÷5)
x = 7
The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.
Answer: y – 3 = –1/7(x – 3)
-4x-12<12 this is equations and inequalities and I really need help LOL
Answer:
[tex]x>-6[/tex]
Step-by-step explanation:
[tex]-4x-12<12[/tex]
[tex]-4x-12+12<12+12[/tex] (Add [tex]12[/tex] to both sides of the inequality to isolate [tex]x[/tex])
[tex]-4x<24[/tex] (Simplify)
[tex]\frac{-4x}{-4}<\frac{24}{-4}[/tex] (Divide both sides of the inequality by [tex]-4[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x>-6[/tex] (Simplify, don't forget to flip the sign of the inequality when multiplying or dividing by a negative number)
Hope this helps!
Round 150,893 to the nearest thousand.
Answer:
151,000
Step-by-step explanation:
ez pts
Write in radical form, then simplify the resulting radical and rationalize the denominator if need be:
312
Answer:
well first 312 in radical form is √312 and that simplified is 2√78 or 17.66352173
Step-by-step explanation:
Is 2x+7=-3x+8 one solution?
Answer:
yes, it is x=1/5
Step-by-step explanation:
i can give you the steps if you want
Select all ordered pairs that correspond to input-output pairs of the function y = -9x + 3.
(8, 2)
(-33, 4)
O (5, -1)
(6, -51)
A line with a slope of -4 passes through the point (0, 0). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer: y = -4x
Step-by-step explanation: You would use the formula y = mx + b to solve your problem. When you plug the numbers in, you get y = -4x. There would be no "+ b" because in this case, the y-intercept (b) is equal to zero. Therefore, you would not need to write "y = -4x + 0" because that would not be the equation in its simplest form.
Convert this decimal into its fractional form, simplified completely.
0.125
Answer:1/8
Step-by-step explanation:
If we divide both the top and the bottom by 5 since we know that 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40 we then simplify to get 1/8.
Subtract f(x) and g(x) when:
f(x) = 3.2 + 2x - 8 and g(x) = 72 – 8x + 4
f(x) - g(x) =
Step-by-step explanation:
The answer is
[tex]10x - 80.8[/tex]
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
Which of these is a trinomial?
O A. x + 2y2 - 7
B. 5xy
C. 2x3 - 7y3
D. 2x - 7
Answer is Opition A
That is x + 2y2 - 7
Hope it is useful
Answer:
x + 2y2 - 7
Step-by-step explanation:
Ape-x
Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 5x + 6 is divided by (x − 1).
I will mark brainliest if correct
Answer:
Step-by-step explanation:
1_| 1 -2 -5 6
1 -1 -6
1 -1 -6 0
Q(x)= x^2 - x - 6
R: 0
Find the x- and y-intercepts of the graph of the linear equation −x+8y=4.
An Italian restaurant buys 15 pounds of onions every 2 weeks. how many bags of onions will the restaurant buy in 7 weeks?
pls help im new so pls can u help me
Factorise
x^2+18x+80
Answer:
(x + 10)(x + 8)
Step-by-step explanation:
Given
x² + 18x + 80
Consider the factors of the constant term (+ 80) which sum to give the coefficient of the x- term (+ 18)
The factors are + 10 and + 8 , since
10 × 8 = + 80 and 10 + 8 = + 18 , then
x² + 18x + 80 = (x + 10)(x + 8) ← in factored form
can someone help me solve -9y+5y-7y+3y
Answer:
-8y
Step-by-step explanation:
-9t +5y -7y + 3y
-4y-7y+3y
-11y+3y
-8y
Answer:
-8y
Step-by-step explanation:
-9y + 5y - 7y + 3y
-9y -7y + 5y + 3y
-16y + 8
-8y
pls help has to be in a fraction ill give brainliest.
Answer:
-5/4
Step-by-step explanation:
slope = -4 - (-29) / -10 - 10
slope = 25 / -20
slope = -5/4
What is the solution to the equation 3(x+2)=12
Answer:
I think its, x = 2?
Step-by-step explanation:
Im not quite sure.... Sorry if i get it wrong
What question do you ask a basketball player from Indiana?
9514 1404 393
Answer:
WHOOSIER COACH
Step-by-step explanation:
Linear pairs are supplementary. Vertical angles are congruent. An angle is the sum of its parts.
(a) C: supplementary to 138°, 180° -138° = 42°
(b) O: congruent to 138°
(c) R: supplementary to 32°, 180°-32° = 148°
(d) H: congruent to 32°
(e) S: complementary to 28°, 90° -28° = 62°
(f) O: supplementary to 122°, 180° -122° = 58°
(g) W: congruent to 122°
(h) C: supplementary to 28°, 180° -28° = 152°
(i) I: supplementary to 60°, 180° -60° = 120°
(∠TSW) E: supplementary to a right angle: 180° -90° = 90°
(∠TSU) O: half the complement of 20°, (90° -20°)/2 = 35°
(∠USW) H: complement of ∠TSU, 90° -35° = 55°
(∠RSV) A: supplement of ∠VSW = 180° -35° = 145°
__
The desired order of the letters corresponds to the sequence of angles ...
122°, 55°, 58°, 35°, 62°, 120°, 90°, 148°, 71°, 152°, 138°, 145°, 42°, 32°
WHOOSIER_COACH
What are one-step equations examples? (I need at least 2 examples)
Answer:
add equation k + 22 = 29 k + 22 = 29 k+22=29
Subtraction equation p − 18 = 3 p - 18 = 3 p−18=3
Step-by-step explanation:
An airplane flies with a constant speed of 620 miles per hour. How long will it take to
travel a distance of 310 miles? Give your answer in minutes or hours.
Answer:
30 minutes
Step-by-step explanation:
Alright lets start by laying out what the problem gives us :
A plane flies 620 mph.
It is asking how long it will take to travel 310 miles.
We need to give our answer in minutes or hours.
So lets take mph and look at the full meaning "Miles per hour"
An hour has 60 minutes in it.
So really it is saying miles per 60 minutes as well as miles per hour
So you could say the plane is traveling 620 miles every 60 minutes.
So now lets look at the number 310.
Just looking at it I can tell you that 310 looks very close to half of 620, in fact it is exactly half!
So lets divide the 620 mph by the 310 miles it is asking and we get 2! Proving that 310 is half of 620.
Alright now lets divide both the number of miles and number of minutes :
620 miles per 60 minutes
divided by 2 both miles and minutes
310 miles per 30 minutes
So this is your answer. After this you get that it would take 30 minutes to travel 310 miles in a plane going 620 miles per hour!
I hope this helps and I could help you understand it. :)
If you have any questions feel free to comment or dm me.
Find the slope of the line passing through the pair of given points.
(5, 7) and (2,7)
Answer:
m = 0
Step-by-step explanation:
[tex]m = \frac{7 - 7}{5 -2} \\m = \frac{0}{3}\\m = 0[/tex]
7. Describe and correct the error made in identifying the property.
(2•x) • 4 = 2 • (x •4)
Commutative Property of Multiplication
Answer:
45
Step-by-step explanation:
Two customers went to an auto body shop. The first customer paid $561 for and oil change and four new tires. The second customer paid $303 for an oil change and two new tires. What is the cost of an oil change?
78
Step-by-step explanation:
-6p-3=9 what does p equal
Answer:
-2
Explanation:
-6 x -2 = 12
12 - 3 = 9
Answer:
p=-2
Step-by-step explanation:
Move the -3 to the other side by adding 3 on both sides:
-6p-3+3=9+3
The equation now looks like this:
-6p=12
Divide -6 on both sides:
-6p/-6=12/-6
The equation now looks like this:
p=-2 which is the answer
Hope this helps!
Mary and Alice are playing a card game. Mary has 21 points. She has 9 points less than Alice.
How many points does Alice have?
Enter your answer in the box.
_______ points
Answer:
30
Step-by-step explanation:
I love math its my fav subject. Facts: P:21+9=30. The check, 30-9=21.
what is x⁶+a²x³y/x⁶-a⁴y²
Answer: x^3 / x^3 - a^2y
Step-by-step explanation: Simplify the expression.
I hope this helps you out!