Answers
The surface area of the composite figure is 714 sq. in.
What is formula of surface area of cube ?
Let, a be the edge of the cube.
Then, surface area of the cube = 6a² square unit
What is formula of surface area of cuboid ?Let, length of the cuboid = l unit
Width of the cuboid = w unit
Height of the cuboid = h unit
Then, surface area of the cuboid = 2(lw+lh+hw) square unit
What is the required surface area ?Given, edge of cube = 4 in.
∴ Surface area of cube = (6×4²) sq. in. = 96 sq. in.
Now, given, length of cuboid = 15 in.
Width of the cuboid = 10 in. & height of the cuboid = 7 in.
∴ Surface area of the cuboid = 2{(15×10)+(15×7)+(10×7)} sq. in.
= 2{150+105+70} sq. in.
= 2{325} sq. in. = 650 sq. in.
Here, we have to find the surface area of the composite figure.
We have to subtract the surface area from both of cube & cuboid, where they are attached.In that case, we have to subtract (4×4) from both.
So, we have to subtract 2(4×4) sq. in. = 32 sq. in.
∴ The surface area of the composite figure = (650+96-32) sq. in.
= 714 sq. in.
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Related Questions
What is the area of ruth's mural?
Answers
Answer:
Step-by-step explanation:
Comment
The shape consists of a rectangle on the bottom and a trapezoid on the top.
Rectangle
A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.
Area = L * w
L = 14
w = 3
Area = 14 * 3 = 42 m^2
Trapezoid
The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5
Area = 1/2(b1 + b2)*h/2
b1 = 14
b2 = 10
h = 8 - 3 = 5
Area = 1/2 ( 14 + 10) * 5 / 2
Area = 1/2 (24)*5
Area = 12 * 5
Area = 60 m^2
Total Area 102 m^2
A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm. What is the partial pressure of the Ne in the mixture?
Answers
The partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.
What is Dalton's law?Dalton's law states that the total partial pressures of all the gases in a mixture of non-reacting gases at a constant temperature equal the pressure the mixture exerts.
We have:
A gas mixture has a total pressure of 0.56 atm and consists of He and Ne. If the partial pressure of the He in the mixture os 0.27 atm.
According to Dalton's law
Total pressure = partial pressure of He + Partial pressure of Ne
0.56 = 0.27 + P(Ne)
P(Ne) = 0.29 atm
Thus, the partial pressure of the Ne in the mixture is 0.29 atm if the as mixture has a total pressure of 0.56 atm and consists of He and Ne.
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What are “like terms”? Why can we only add like terms?
13.)What is the closure property? What does it have to do with adding, subtracting, and multiplying polynomials?
Answers
Answer:
Like terms are mathematical terms that contain the same variables. We combine like terms, because it simplifies algebraic expressions.
Closure property is the term for when you add or multiply two whole numbers together, and the result is always just a whole number. It is related to adding, subtracting, and multiplying polynomials, because when something is closed, the output will result in being the same type of object as the inputs.
Step-by-step explanation:
Like terms: When combining like terms, we add their coefficients. For instance, if we have 3y and 4y, we get 7y. That is because we added (3+4) to get 7, and plugged in the variable "y".
Closure property: Adding, subtracting, or multiplying two polynomials will output a polynomial.
What is closure property? That’s a good question. Closure property is a method and idea used in math that often emphasizes the explanation that the sum of two whole numbers will always result in a whole number (that is what it has to do with addition). In subtraction, closure property states that the difference between two rational numbers (pi excluded) will always result in a rational number. When multiplying polynomials, the rule is that, like subtraction, the multiplication of two rational numbers always will end in a rational number.
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answers
Answer:
I'm pretty sure it is d... .......
What is the factored form of the following expressions?
x2 – x – 42
Answers
Answer:
(x-7)(x+6)
Step-by-step explanation:
So you find what is common between the two then fix it
. An elevator in a building starts with five passengers and stops at seven floors. Say every passenger is equally likely to get off at each floor and all the passengers leave independently of each other. a. How many ways are there for the passengers to be assigned a floor? b. How many ways are there for the passengers to be assigned a floor but no two passengers are on the same floor?
Answers
There are 16807 number of ways the passengers to be assigned a floor and there are 2520 number of ways the passengers to be assigned a floor but no two passengers are on the same floor.
Given that an elevator starts with five passengers and stops at the seven floors of a building.
From the given information, the total number of floors n=7.
The number of passengers r = 5.
(a) Compute the number of ways that 5 passengers can be assigned to seven floors.
Here, repetition is allowed.
From the known information, if r numbers are selected from n number of observations then the total number of observations that can be drawn from n number of observations is [tex]n^r[/tex].
If 5 passengers can be assigned to seven floors is 7⁵ = 16807.
(b) Compute the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor.
Here, repetition is not allowed.
If 5 passengers can be assigned to seven floors but no two passengers are on the same floor is 7x6x5x4x3 = 2520.
Hence, the number of ways that 5 passengers can be assigned to seven floors is 16807, and the number of ways that the passengers to be assigned a floor but no two passengers are on the same floor is 2520.
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Rayonnia is buying cans of frozen lemonade concentrate to make punch for a holiday party with each can she can make 6  cups of lemonade write an equation which gives the number of cups of lemonade that can be made with any number of cans of frozen lemonade concentrate
Answers
The number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that with a single can of frozen lemonade concentrate 6 cups of lemonade can be made. Therefore, the number of cups that can be made with x number of cans is,
Number of cups that can be made, y = 6x
Hence, the number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.
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One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The
ratio of the perimeter of the smaller polygon to the larger is
021
01/2
014
Answers
Answer:
the largest is 014 because I did it and the teacher said it is correct
Step-by-step explanation:
teacher checked work
Line q and m are cut by transversal lines j and k. The line and the measures of some of the angles created by the intersections of the lines are shown in the diagram below. What is the measure, in degrees, of angle 1?
Answers
Answer:
70
Step-by-step explanation:
180 minus 110 is 70
straight lines are 180 degrees
A pair of equations is shown below.
Answers
Answer: (2,5)
Step-by-step explanation: Step 1: Identify key concepts for Part A
y=7x-9
Slope: 7
y int. : -9
y=3x-1
Slope: 3
y int. : -1
Since you know this information, you can plot the points and graph it.
Part B
To solve a system of equations, you need to identify the point whereby the two graphs intersect, and since you're solving it graphically, just find the point of intersection. You should get an answer of: (2,5)
(x=2) and (y=5)
Can someone look at this image ?
Answers
Answer:
3x-2y=13
Step-by-step explanation:
PLEASE HELP ME!!! I'M ON A SERIOUS TIME CRUNCH!!!
Given the graph of trapezoid FOUR and its reflection. Use the coordinates of the images’ vertices, U and U' to to algebraically find the line of reflection.
x = -1
y = 1
x = 1
y = -1
Answers
Answer:
y = -1
Step-by-step explanation:
Because the coordinate of U and U' is (5, 0) and (5, -2), the line that is right in the middle would be y = -1.
Or you can compare two of the coordinates to create the line of reflection.
For example: R (0,0), R'(0, -2)
U(5, 0), U'(5, -2)
The middle points are (0, -1) (5, -1).
In this case, y = -1.
Give the equation of a line that goes through the point ( 4 , 9 ) and is parallel to the line − 3 x + 7 y = 21 .
Answers
Answer:
[tex]\sf y=\dfrac{3}{7}x+\dfrac{51}{7}[/tex]
Step-by-step explanation:
Given equation: -3x + 7y = 21
Slope-Intercept Form: y = mx + b -
where:
m is the slopeb is the y-intercept (when x = 0)Note: parallel lines have the same slope.
1. Rewrite the given equation in slope-intercept form:
[tex]\sf -3x + 7y = 21\ \textsf{[add 3x to both sides]}\\\\-3x + 3x + 7y = 21 + 3x\\\\7y = 3x + 21\ \textsf{[divide both sides by 7]}\\\\\dfrac{7y}{7}=\dfrac{3x+21}{7}\\\\\implies y=\dfrac{3}{7}x+3[/tex]
Here, this equation has a slope of ³⁄₇ and a y-intercept of 3.
2. Find the equation of the parallel line:
substitute the point (4, 9) into the equation to find the value of b
[tex]\sf y=\dfrac{3}{7}x+b\\\\9=\dfrac{3}{7}(4)+b\\\\9=\dfrac{12}{7}+b\\\\\dfrac{63}{7}-\dfrac{12}{7}=\dfrac{12}{7}-\dfrac{12}{7}+b\\\\\dfrac{51}{7}=b[/tex]
[tex]\sf \textsf{Equation:}\ y=\dfrac{3}{7}x+\dfrac{51}{7}[/tex]
3. Check your work:
[tex]\sf y=\dfrac{3}{7}x+\dfrac{51}{7}\\\\9=\dfrac{3}{7}(4)+\dfrac{51}{7}\\\\9=\dfrac{12}{7}+\dfrac{51}{7}\\\\9=\dfrac{63}{7}\\\\9=9\ \checkmark[/tex]
[tex]\sf \textsf{Therefore, the equation of the parallel line is:}\ y=\dfrac{3}{7}x+\dfrac{51}{7}[/tex]
Another example:
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Answer:
[tex]\sf y=\dfrac{3}{7} x+\dfrac{51}{7}[/tex]
Step-by-step explanation:
First, write the given equation in slope-intercept form. That is, you can make y the subject in the given equation.
Slope intercept form
y = mx + c
Here,
m = slope
c = y-intercept
Let us write the given equation in slope-intercept form.
− 3x + 7y = 21
Add 3x to both sides.
7y = 3x + 21
Divide both sides by 7.
[tex]\sf y=\dfrac{3}{7}x +\dfrac{21}{7} \\\\y=\dfrac{3}{7}x +3[/tex]
We know that the slopes of parallel lines are equal. Therefore, the slope(m) of the new line is 3/7.
The new line is going through ( 4, 9 ). Using that, let us find the value of c (y-intercept), by substituting the values of m, y, and x.
( 4, 9 ) → ( x , y )
m → 3/7
Let us find the value of c
[tex]\sf y = mx+c\\\\9 =\dfrac{3}{7}*4+c\\\\ 9=\dfrac{12}{7}+c\\\\ 9-\dfrac{12}{7}=c\\\\\dfrac{63-12}{7} =c\\\\\dfrac{51}{7} =c[/tex]
And now let us write the equation of the new line.
[tex]\sf y =mx+c\\\\\sf y=\dfrac{3}{7} x+\dfrac{51}{7}[/tex]
X^2 + y^2 = 169 and y = -5 as a graph and where are the coordinates of intersection
Answers
Step-by-step explanation:
please mark me as brainlest
Classify the following polynomials. Combine any like terms first.
2x-x²+4x+x²
x^3-5x^2 + 3-2
x^3-x^3+x²-x²+3
7x-x^2+x³+4x²
-6x-x^3 +6x-4x
Answers
Answer:
A resposta certa é:
[tex]6x \\x^3 - 5x^2 + 1 \\3 \\x^3 + 3x^2 + 7x \\-x^3 - 4x[/tex]
Step-by-step explanation:
1° equação:
Como há um x² positivo e um negativo, ambos irão se anular, sobrando apenas as incógnitas de potência 1 (ou, 6x)
2° equação:
Esta resulta em uma equação de 3° grau incompleta, já que há uma incógnita de potência 3, uma de potência 2, não há uma incógnita de potência 1 mas há as constantes, que as unindo forma a constante 1.
3° equação:
As incógnitas presentes há uma negativa e uma positiva de mesma potência, anulando-as e sobrando apenas a constante 3.
4° equação:
Considerando que há um 4x² e um -x² na equação, unindo-os forma o 3x², após isso é só repetir a equação.
5° equação:
Há -10x (-6x -4x = -10x) e 6x, resultando em um -4x, e então é só repetir a equação
Nota: I'm Brazilian, so I found it more practical to write the entire explanation in Portuguese, so if you can't understand, I ask you to use the translator, thanks for understanding :)
Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. persons taking a 70-hour review course average a score of 780. based on these two data points, create a linear equation for the function that describes how score varies as a function of time. use this function to predict an average score for persons taking a 43-hour review course. round your answer to the tenths place.
Answers
Answer:
Answer for linear equation: y=4x+500 and Avg score for persons taking 43-hour review course is 672
The sum of two numbers is 48. If one number is three more than twice the second number, which of the following is the
smaller number?
O 24
O 15
O 30
O 33
Answers
Answer:
15 (second option listed)
y = 15
x = 30
Step-by-step explanation:
setting up this statement algebraically:
[where x = one of our numbers, y = other number]
x + y = 48
x = (2y + 3)
x = 2y + 3
plug x [now in terms of y] into the original equation
(2y + 3) + y = 48
3y + 3 = 48
- 3 - 3
3 y = 45
÷3 ÷3
y = 15
from this value, we can plug it back into the y-value of the original equation to find our x-value
x + y = 48
x + 15 = 48
- 15 - 15
x = 33
{to check: 33 is 2y + 3}
we know that y = 15 (smaller number) and that x = 33 (larger number)
so, the solution to the question of which is the smaller number is 15
Hope this helps
7litres of petrol cos t £3.50. Find the cost of 23 litresof petrol of the same grade.
Answers
Answer:
£11.50
Step-by-step explanation:
7litres of petrol cos t £3.50. The cost of 1 liter will be:
= £3.50/7
= £0.50
The cost of 23 litres of petrol of the same grade will be:
= £0.50 × 23
= £11.50
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answers
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. So the correct answer is option B.
What is inequality?inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
We can start by dividing the inequality by 3 to get ...
8 -4x < 2(x -5)
And we can divide by 2 to simplify further to ...
4 -2x < x -5
Now, we can add 2x+5, which gives ...
9 < 3x
and then divide by 3 again:
3 < x
Therefore number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. So the correct answer is option B.
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A/n ____ is a part of a circle that represents an angle.
Answers
Answer:
An Arc is a part of a circle that represents an angle.
HELP ITS ABOUT ANGLES :((((
Answers
Answer:
its D. 2 and 3
Step-by-step explanation: supplementary angles are angles that add up to 180 (or that make a straight line) the angle pairs that make a straight line are 1 and 2, 2 and 3, 3 and 4, and 4 and 1.
So D would be correct
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4x+4y=-28
Answers
Answer:
y=-x-7
Step-by-step explanation:
Slope-intercept form is y=mx+b
We have the equation 4x+4y=-28 and must put it into the form above. To do this first subtract 4x from both sides.
4x-4x+4y=-28-4x
This equals 4y=-4x-28. Now, divide 4 from both sides.
4y/4=-4x/4-28/4
y=-x-7
Hope this helps!
If not, I am sorry.
only a genius can solve it !!
[tex] \frac{ \cos(A) }{1 - \sin(A) } + \frac{ \sin(A) }{1 - \cos(A) } + 1 = \frac{ \sin(A) \cos(A) }{(1 - \sin(A)(1 - \cos(A)} [/tex]
Answers
[tex]\text{L.H.S}\\\\=\dfrac{\cos A}{1-\sin A} + \dfrac{\sin A}{1-\cos A} +1\\\\\\=\dfrac{\cos A(1-\cos A) + \sin A(1-\sin A) + (1-\sin A)(1 - \cos A)}{(1-\sin A)(1 -\cos A)}\\\\\\=\dfrac{\cos A - \cos^2 A + \sin A - \sin^2 A + 1 - \cos A - \sin A + \sin A \cos A}{(1 -\sin A)(1 - \cos A)}\\\\\\=\dfrac{-(\sin^2 A + \cos^2A) +1 + \sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\\\\\=\dfrac{-1 + 1 + \sin A \cos A }{(1 - \sin A)((1 - \cos A)}\\\\\\=\dfrac{0+ \sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\[/tex]
[tex]=\dfrac{\sin A \cos A}{(1 - \sin A)(1 - \cos A)}\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
48 + what gives you 180
Answers
Answer:
132
Step-by-step explanation:
180-48=132
Answer: 132
Step-by-step explanation:
let x = unknown amount
48 + x = 180
————————————————————————
Solve for x by subtracting 48 from both sides
48 - 48 + x = 180 - 48
x = 132
Select all the correct graphs.
Choose the graphs that indicate equations with no solution.
Answers
Answer:
-2x - 1 = 3^(-x); 2^(-x) + 2 = -5^x + 3
Step-by-step explanation:
for this question you are choosing the lines that do not touch
the graphs for the second third and fourth ones all touch
but
the first and last one do not
therefore those are the ones with no solution
Answer:
Graph 1 and Graph 5
Step-by-step explanation:
As the first and final graphs do not intersect at any points on their graphs, they have no solution.
Which distance measures 7 units? L 50+5 7 -8 -7 -6 5 4 3 -2 -1 0 1 2 O the distance between points L and M O the distance between points L and N O the distance between points M and N the distance between points M and P 3 4 OL 5 6 s 8
Answers
The distance that measures 7 units is the distance between points M and P
How to determine the distance?The complete question is in the attached image
The points are given as:
L= -7
M = -1
N = 2
P = 6
The distance between any points A and B is calculated using:
AB = |B - A|
Using the above formula, we have:
MP = |6 -(-1)|
Evaluate the difference
MP = |7|
Remove absolute bracket
MP = 7 units
Hence, the distance that measures 7 units is the distance between points M and P
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I dive to 17 metres for 23 minutes. after a 30 minute surface interval, i plan to dive to 16 metres. what is the maximum allowable time for the second dive
Answers
Answer:
i don't know
Step-by-step explanation:
i don' know
which statements could be an interpretation of the graph x intercept or y intercept
Answers
Answer:
If you attach the answers i can help you better
Step-by-step explanation:
5)Express in standard form: (i)4809000 (ii)0.00849
Answers
Answer:
I hope it helps .in case you don't understand any part ,feel free to ask.
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear inequality in the coordinate plane.
5x - y > -3
27
Drawing Tools
Select
Line
Dashed Line
Shaded Region
Click on a tool to begin drawing.
10
8
6
Answers
The solution to the inequality 5x - y > -3 is shown in the graph.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An inequality shows the non equal comparison of two or more variables and numbers.
The solution to the inequality 5x - y > -3 is shown in the graph.
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