A Formula for the Surface area of the cube is 6a².
A cube is a three-dimensional solid with six square faces, facets, or sides, three of which meet at each vertex in geometry. It looks like a hexagon from the corner, and its net usually looks like a cross. One of the five Platonic solids, the cube is the only regular hexahedron.
The sum of the areas on each face of the cube that covers it is the cube's surface area. The formula for surface area is six times the cube's length divided by the square of that number. It is denoted by 6a², where a is the cube's side length. It basically refers to the entire surface area.
area of one face = a² [By area of square formula]
There are six faces altogether. Therefore,
TSA (total surface area) of cube = S = a² + a²+ a² + a² + a² +a²
S = 6a²
Know more about cubes here: https://brainly.com/question/13789496
#SPJ4
(complete question)
The surface area of a three-dimensional object is the sum of the area of the faces. If a represent the length of the side of a cube, write a formula for the surface area S of the cube.
Solve each system by elimination: 8x-3y=-11 2x-5y=27
Answer:
(-4,-7)
Step-by-step explanation:
8x - 3y = -11
2x - 5y = 27
8x - 3y = -11
4(2x - 5y) = 27 (4)
8x - 3y = -11
8x - 20y =108
8x - 8x = 0
-3y - (-20y) = 17y
- 11 - 108 = -119
17y = -119
17/17 y = -119/17
y = - 7
2x - 5(-7) = 27
2x + 35 = 27
2x = 27 - 35
2x = - 8
2/2 x = -8/2
x = -4
PLS HELP ME ASAP!! 30 points! Which triangle congruence theorem could be used to prove the following two triangles congruent? ASA, SAS, AAS, or not enough info
The best triangle congruent theorem for the image is Angle-Angle-Side (AAS)
How to prove congruency of Triangles?Two triangles are congruent if they have exactly the same three sides and exactly the same three angles.
From triangle ABC,
<BAC is given
<ABC=90⁰
<BCA is not given
Also, in triangle ACD,
<ACD is given
<CDA =90⁰
<DAC is not given
Therefore <BAC=<ACD (given)
<CDA=<ABC=90
<DAC=<BCA (not given)
Therefore, ΔABC=ΔACD (AAS)
In conclusion, The two triangles are congruent with SSA theorem.
Learn more about congruent triangles on https://brainly.com/question/22062407
#SPJ1
Kyle ran the width of a field, a ditance of 35 meter. Then he ran the length of the field, a ditance of 84 meter. Finally, he ran diagonally acro it to get back to hi tarting point. How far did Kyle run?
By using Pythagoras theorem, Kyle run for the distance of 210 m.
What is the Pythagorean theorem ?
According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.
Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides.
The given length of the field is 84 m.
And, the width is 35 m.
Now, the diagonal of the field can be calculated using Pythagoras theorem as below,
Diagonal = √((84)² +(35)²)
= 91
Then, the total length is found by summing the length, width and the diagonal as below,
= 84 + 35 + 91
= 210
Hence, Kyle run for the distance of 210 m.
Learn more about Pythagoras theorem
brainly.com/question/343682
#SPJ4
PLEASE ASAP PLEASE I NEED IT IN A STATEMENTS AND REASONS
In a Kite ABCD the diagonals AC and BD can be proved perpendicular by linear pair perpendicular theorem.
What is linear pair perpendicular theorem?
This theorem states that if two straight lines intersect at a point, and the linear pair of angles they form have an equal measure, then the two lines are perpendicular to each other.
According to the given question:
ABCD is a Kite //Given
AB=BC //Given
BE=BE //Common side, reflexive property of equality
∠ABE ≅ ∠CBE // in a kite the axis of symmetry bisects the angles at
those corners
△ABE≅△CBE //Side-Angle-Side postulate
∠AEB ≅ ∠CEB //Corresponding angles in congruent triangles (CPCTC)
AC⊥BD //Linear Pair Perpendicular Theorem
To know more about kite visit
https://brainly.com/question/2918354
#SPJ1
i dont get this help
Answer:
x = 11
Explanation:
It looks like the total distance between points I and K is -3 + x. Since I to J and J to K is also the total distance, I to K is also equal to 6 + 2x - 20. You can represent this in an equation and solve for x.
-3 + x = 6 + 2x - 20
-3 + x = 2x - 14
- 3 = x - 14
11 = x
A plane is flying at a speed of 425 miles per hour. How far will the plane travel in 0.75 hour.
Answer:
318.75 miles
Step-by-step explanation:
Consider the graph shown below.
Write the coordinates of the point CC after a dilation with a scale factor of 55 , centered at the origin.
((
,,
))
Part B
What are the coordinates of the point DD after a dilation with a scale factor of 55, centered at the origin?
(b)
A
D′(0,2)D'\left(0,2\right)D
′
(0,2)
B
D′(0,5)D'\left(0,5\right)D
′
(0,5)
C
D′(0,10)D'\left(0,10\right)D
′
(0,10)
D
D′(10,0)D'\left(10,0\right)D
′
(10,0)
Coordinates of the point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)
Given that,
The point C
C(2, 1)
We have to find what are the coordinates of the point D after a dilation with a scale factor of 5, centered at the origin.
We know that,
The point C
The size of the coordinates of the picture of point P will be 5 times larger than the original coordinates of point C in a dilatation with a scale factor of 5.
The following is the scale factor 5 rule of dilation:
(x, y) → (5x, 5y)
C(2, 1) → (5x, 5y) = (5(2), 5(1)) = C'(10, 5)
Therefore, coordinates of the point C after dilation with a scale factor of 5, centered at the origin will be: C'(10, 5)
To learn more about coordinates visit: https://brainly.com/question/27749090
#SPJ1
for the 2015 general social survey, a comparison of females and males on the number of hours a day that the subject watched tv gave the following results.
After a comparison of females and males on the number of hours of a day that the subject watched the TV.
The hypotheses of a significance test to analyze whether the population means differ for females and males would be as follows:
(a) H0: μ1 = μ2 (the population means are equal for females and males)
Ha: μ1 ≠ μ2 (the population means are not equal for females and males)
(b) In order to conduct the significance test, we would need to calculate the t-statistic and the P-value. However, the question does not provide the necessary information to do so (e.g. sample means, standard deviations, sample sizes). Without this information, we cannot conduct the significance test and interpret the P-value(c) Without conducting the significance test, we cannot conclude anything about whether there is a gender difference in TV watching.
(d) Similarly, without conducting the significance test and calculating the confidence interval, we cannot determine whether the confidence interval would contain 0 or not.
Learn more about Group and Mean visit :
brainly.com/question/2784439
#SPJ4
Can someone Please help me
Answer:
B. none of other works. Only hue rate of change of Function F is higher than Function G
Need help with this ASAP, this is my last class and I need to finish it by Today
Which expression is equivalent to the expression quantity negative 10 over 9 times t plus 1 over 8 end quantity minus expression quantity negative 6 over 18 times t plus 3 over 4 end quantity?
negative 14 over 18 times t minus 5 over 8
negative 14 over 18 times t plus 2 over 8
4 over 9 times t plus 2 over 4
16 over 18 times t plus negative 4 over 8
The expression that is equivalent to the given algebraic expression is; negative 14 over 18 times t minus 5 over 8
How to solve algebraic expressions?We are given the algebraic expression as;
-(10/9)t + (1/8) - [(-6/18)t + (3/4)]
Factorize out 1/72 to get;
(1/72)(-80t + 9 + 24t - 54)
= (1/72)(-45 - 56t)
= (-14/18)t - 5/8
We have used some basic mathematical operations in the expression, it gives us negative 14 over 18 times t minus 5 over 8
Read more about Algebra Expressions at; https://brainly.com/question/4344214
#SPJ1
PLEASE HELPPPPPPPPPPPPPP ME ISTG I AM DYING
The solutions of the equation are given as,
1. 7, 2. 5, 3. 5, 4. 5, 5. 7, 6. -4, 7. 8, 8. 3.
Given that,
A number of equations are given we have to determine the solution of the equaiton,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here
1) 3x + 4 = 25
simplify,
3x + 4 = 25
3x = 25 - 4
x = 21 / 3
x = 7
Similarly, the Solution of the other equation is given as,
2. 5, 3. 5, 4. 5, 5. 7, 6. -4, 7. 8, 8. 3.
Thus, the solutions of the equation are given as,
1. 7, 2. 5, 3. 5, 4. 5, 5. 7, 6. -4, 7. 8, 8. 3.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
best answer gets brainliest! please explain
Answer: t = 11
Step-by-step explanation:
f(11)= 5(11) -7
f(11) = 55 - 7
f(11) = 48
Answer:
f(11) = 48
Step-by-step explanation:
f(t) = 5t-7
we have to find out what t is
5t - 7 =48
+7 +7
5t = 55
/5 /5
t = 11
using the trap razors below find the measure of angle HMA.
In the given trapezoid, the angle ∠ HMA is 120°.
What is trapezoid?A closed polygon or geometry with four sides, four corners, and four angles is called a trapezium. Each pair of a trapezium's opposing sides is parallel to the other.
In the given trapezoid AMHT,
The angle H = 60°.
To find the angle ∠ HMA,
Since, the sum of angle MHT and angle HMA is equal to 180°.
∠ HMA + ∠ MHT = 180°
∠ HMA + 60 = 180
∠ HMA = 120
The required angle ∠ HMA is 120°.
To know more about Trapezoid on:
https://brainly.com/question/8643562
#SPJ1
Triangle ABC with coordinates A (4,2), B (-1, 3), and C (2, -3) was reflected across the line
y=x. What is the image of B?
A. (3,-1)
B. (1, -3)
C. (-1, -3)
D. (-3,-1)
Answer:
A. (3,-1)
Step-by-step explanation:
A reflection of y = x would be:
[tex](x,y)\rightarrow(y,x)[/tex]
Therefore:
[tex](-1, 3) \rightarrow (3, -1)[/tex]
The correct option should be A.
Hope this helps.
If a figure i dilated by a cale factor of 10, the area of the figure will change by a factor of how much?
If a figure is dilated by a scale factor of 10, the area of the figure will change by a factor of 100.
What is meant by the term area?The size of a two-dimensional form or a region in a plane is described by the mathematical notion of area. Square units like square inches, square feet, or square metres are frequently used figure to measure it. The total space a form takes up in a plane is known as its area. The length and breadth of the shape may be multiplied to compute it, or intricate forms like circles, triangles, formulae can be used. Finding the dimensions of a form, calculating area ofcircle or rectangle, or area of three-dimensional object are just a few of the many issues that may be solved using the geometry concept of area.
How to solve?
If a figure is dilated by a scale factor of 10, its area will change by a factor of 100.
When a figure is dilated, its area changes by the square of the scale factor. In this case, the scale factor is 10, so the area will change by a factor of 10^2 = 100.
To learn more about area, visit:
https://brainly.com/question/28062041
#SPJ4
1. two-column proof
Given: AB ≅ XY, AC ≅ XZ, BC ≅ YZ
Prove: ∆ABC ≅ ∆XYZ
The other information that must prove by the triangle is that ∠A ≅ ∠X.
How do you understand "ABC" and "DEF"?
The triangles are congruent if their included sides are congruent and two of their angles match two of the other triangle's angles. applying labels Triangle ABC is congruent to triangle DEF if, in triangles ABC and DEF, angle A = angle D, angle B = angle E, and angle AB = DE.
By SAS or Side-Angle-Side Postulate, the corresponding two sides and it's included angles should be congruent.
Therefore, based on the illustration, the included angle for ∆ABC is ∠A while the included angle for ∆XYZ is ∠X.
Therefore, the other information that must prove by the triangle is that ∠A ≅ ∠X.
To know more about triangles check the below link:
https://brainly.com/question/17335144
#SPJ1
First try was incorrect
What is the value of x? Your answer may be exact or rounded to the
nearest tenth.
(4x-8)"
131*
61"
Answer: 19.5
Step-by-step explanation:
obtuse + acute = 180
131 + t = 180
t = 49 degrees for the top angle
49 + 61 + 4x-8 = 180 degrees in a triangle
110 + 4x - 8 = 180
102 + 4x = 180
4x = 78
x = 19.5
Answer:
x = 19.5
Step-by-step explanation:
The interior angles of a triangle will ALWAYS have a sum of 180°
How do I do y=mx+b calculations in these type of questions
pls help
and show me the mx+B calculations
1. y<-3/4x+2
2. y≤5
3. x+y>6
The calculations for the slope-intercept forms of the equations are (1) m=-[tex]\frac{3}{4}[/tex],B=2 (2)m=1, B=5 (3) m=-1, B=6
How to use the Slope -intercept form?
Slope of a line is a number that describes both the direction and the steepness of the line.
The intercept of a line is defined as the point at which it intersects the y-axis in a graph.
The equation of a line is expressed as follows;
Y=MX+B
Where M=slope and B=intercept
From the equations:
(1) y<[tex]\frac{-3x}{4}[/tex]+2
Applying the equation of slope-intercept form,
m=[tex]\frac{-3}{4} , B=2[/tex]
(2) Y[tex]\leq 5[/tex]
Applying the equation: Y=MX+B
m=1, B=5
(3) x+y>6
Applying the formula: Y=MX+B
Re-arrange the equation
y>-x+6(1)
⇒ m=-1, B=6
Learn more about the slope-intercept form on https://brainly.com/question/19824331
#SPJ1
A googol is the number 1 followed by 100 zeros. Earths mass is 5.972 x 10 to the 24 power kilograms. How many earths are needed to have a total mass of 1 googol kilograms?
To have a total mass of 1 googol kilograms, 1.674480911 × 10 ⁷⁵ earths are needed
How to determine how many earths are needed to have a total mass of 1 googol kilograms?
Given that:
1 googol = 10¹⁰⁰
Earth's mass is 5.972×10²⁴ kilograms
In order to find how many earths are needed to have a total mass of 1 googol kilograms, you need to divide 1 googol kilograms by Earth's mass (5.972×10²⁴ kilograms). Thus:
Number of earths needed = 10¹⁰⁰ / 5.972×10²⁴
Number of earths needed = 1.674480911 × 10 ⁷⁵ earths
Therefore, 1.674480911 × 10 ⁷⁵ earths are needed to have a total mass of 1 googol kilograms
Learn more about googol on:
brainly.com/question/18904321
#SPJ1
I need to find out what’s given and what’s the reasoning for this statement
help plase guys please
Step-by-step explanation:
52×7 = 50×7 + 2×7
why?
because 52 = 50 + 2
so,
52×7 = (50 + 2)×7 = 50×7 + 2×7
Answer
The third option 52 x 7 = 50 x 7 + 2 x 7
Step-by-step explanation:
First of 52 x 7 = 364, so whichever other equation is equal to 364 is the correct option
50 x 7 + 2 x 7
350 + 2 x 7
350 + 14
= 364
There are 35 questions total that will be posted in mathematics as this is Algebra I!
Whoever answers correctly and with an explanation will receive Brainliest when the option shows up on my end!
PLEASE ANSWER ASAP!!
Answer:
the answer will be the option b
hope this helps you
Column A
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
-
-
<2 and <3
<2 and <10
<5 and <10
A
<7 and <3
<15 and <10
<14 and <10
<9 and <10
<1 and <6
<15 and <4
<3 and <10
Column B
a. no relationship
b. same side interior
c. linear pair
d. alternate exterior angles
e. alternate interior angles
f. corresponding
g. vertical angles
Answer:
Step-by-step explanation:
what
When Jas is solving the system of equations of {y=3x-3 2x+2y=8,she graphs the system and her result is shown below and identifies the solution to be (2.75,5.25).Did Jas graph and find the solution correctly? If not, what was her mistake?
Jas is incorrect, and that may be because she graphed incorrectly one of the functions.
The correct solution for the system is: (1.75, 2.25)
Did Jas graph and find the solution correctly?To solve a system of equations graphically, we need to graph the two equations on the same coordinate axis and find the points where the two graphs intercept.
Here the system of equations is:
y = 3x -3
2x + 2y = 8
The graph is below. There we can see that the intercept is at (1.75, 2.25)
So Jas got an incorrect answer, and that may be because she graphed incorrectly one or both of the equations.
Learn more about systems of equations:
https://brainly.com/question/28405823
#SPJ1
Diameter of cylinder A is 7 cm, and the height is
14 cm. Diameter of cylinder B is 14 cm and height
is 7 cm. Then find the ratio between their volume
The ratio of volumes of Cylinder A to Cylinder B is 1 : 2
What is a Cylinder?
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the first cylinder be = A
Let the volume of the second cylinder be = B
Now,
The diameter of first cylinder = 7 cm
Radius of the first cylinder r = 7/2 = 3.5 cm
Height of the first cylinder h = 14 cm
And ,
The diameter of second cylinder = 14 cm
Radius of the second cylinder R = 14/2 = 7 cm
Height of the second cylinder H = 7 cm
To find the ratio between the volumes of both cylinders
Volume of Cylinder A = πr²h
Substituting the values in the equation , we get
Volume of Cylinder A = π x ( 3.5 ) x ( 3.5 ) x ( 14 )
Volume of Cylinder B = πR²H
Substituting the values in the equation , we get
Volume of Cylinder B = π x ( 7 ) x ( 7 ) x ( 7 )
The ratio between volumes of A and B is given by = Volume of Cylinder A / Volume of Cylinder B
So , the ratio is
Volume of Cylinder A / Volume of Cylinder B = π x ( 3.5 ) x ( 3.5 ) x ( 14 ) / π x ( 7 ) x ( 7 ) x ( 7 )
On simplifying the equation , we get
Volume of Cylinder A / Volume of Cylinder B = 2/4
Therefore , the ratio is
Volume of Cylinder A / Volume of Cylinder B = 1 : 2
Hence , The ratio of volumes of Cylinder A to Cylinder B is 1 : 2
To learn more about cylinders click :
https://brainly.com/question/16134180
#SPJ1
laura has saved her babysitting money for the past two weeks. currently has 5 time her weekly pay. this week she spent a less then 2 times her weekly pay and now has 156. how much does laura earn each week
Answer:
To find out how much Laura earns each week, you can set up an equation using the information given. Let's call Laura's weekly pay "W".
You know that Laura has saved 5 times her weekly pay, so you can write this as 5W.
You also know that she spent less than 2 times her weekly pay this week, so you can write this as 2W - X, where X is the amount that she spent less than 2 times her weekly pay.
Finally, you know that she has 156 left after spending some money, so you can write this as 156.
You can now set up the equation:
5W + (2W - X) = 156
Combining like terms, you get:
7W - X = 156
Adding X to both sides, you get:
7W = 156 + X
Dividing both sides by 7, you get:
W = (156 + X) / 7
Thus, Laura's weekly pay is equal to (156 + X) / 7. You know that she spent less than 2 times her weekly pay this week, so X must be less than 2W. However, you don't know the exact value of X, so you can't find the exact value of Laura's weekly pay.
:
If laura has saved her babysitting money for the past two weeks then Laura earns 52 dollars per week.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let Laura earns x dollars per week.
According to the problem, after two weeks of saving, she has 5 times her weekly pay, which means she has saved 5x dollars.
This week, she spent less than 2 times her weekly pay, which means she spent less than 2x dollars.
Now, she has 156 dollars left, so we can set up the equation:
5x - 2x = 156
Simplifying this equation, we get:
3x= 156
Divide both sides by 3
x = 52
Hence, Laura earns 52 dollars per week.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
If a 2b - 10 and b= 3a -5, then what is a?
Answer:
a=4
Step-by-step explanation:
we fill in b to find a
a=2(3a-5)-10
a=6a-10-10
a=6a-20
+20 +20
a+20=6a
-a. -a
20=5a
/5. /5
4=a
hopes this helps
Which inequality does the graph represent?
y>x-2
y
y > -X-2
y<-x-2
Inequality (A) "y > x-2 represents the given graph when the line passes to 2 and -2 from the x-axis and y;-axis respectively.
What are graphs?In discrete mathematics, more specifically in graph theory, a graph is a structure that resembles a collection of objects where some object pairs are conceptually "connected."
Each pair of connected vertices is referred to as an edge, and the objects are represented by mathematical abstractions known as vertices.
To calculate the slope m and the y-intercept, write the equation y = MX + b.
The slope and y-intercept can then be used to graph the equation (0, b).
So, to find which inequality represents the given graph, simply plot the inequalities on the graph.
After plotting, we can conclude that inequality "y > x-2" represents the graph shown in the question.
(Refer to the image attached below)
Therefore, inequality (A) "y > x-2 represents the given graph when the line passes to 2 and -2 from the x-axis and y'-axis respectively.
Know more about graphs here:
brainly.com/question/28953186
#SPJ1
Complete question:
Which inequality does the graph represent?
a. y > x-2
b. y > -X-2
c. y <-x-2
d. y <x-2
find the probability that the engineer has to test at least 5 computers in order to find 2 defective ones. g
The probability that the engineer has to test at least 5 computers in order to find 2 defective ones is 0.985.
Given :
A quality control engineer tests the quality of produced computers. suppose that 5% of computers have defects, and defects occur independently of each other.
So the probability of getting 0 defective computers out of 4 is :
= ( 1 - 0.05 )^4
= 0.95^4
= 0.814.
The probability of getting exactly 1 defective computer out of 4 is :
= 0.05 * ( 1 - 0.05 )^3 * 4! / ( 1! ( 4 - 1 )!)
= 0.05 * 0.95^3 * 24/ ( 1!3! )
= 0.05 * 0.857375 * 24/6
= 0.171.
So the probability of getting only 0 or 1 defective computers out of the 1st 4 is :
= 0.814 + 0.171
= 0.985
Learn more about the probability here:
https://brainly.com/question/11234923
#SPJ4