Will Mark Brainlist!
Solve for x on the diagram below
Answer:
x = 20
Step-by-step explanation:
3x + 80 + 2x = 180
5x + 80 = 180
5x = 100
x = 20
Write this in standard form please
Write the equation of the line perpendicular to y = 4x +3 with a y-intercept (0,2).
Hannah is asked to convert the number 0.00000305 to scientific notation. Her answer is 3.05 × 106. Which statement best describes her answer?
Answer: if u mean 3.05 x 10^6 then Hannah is correct.
Step-by-step explanation:
With scientific notations you should have one number on the left side of the decimal so 3.05 is correct and since you move the decimal to the right six times you would get 3.05 * 10^6
Find the Volume of the given cylinder. Round your answer to the nearest tenth. 3 m 3 m
Answer: The volume of the cylinder is approximately 21.2 cubic meters
Step-by-step explanation:
To find the volume of a cylinder, we use the formula:
V = πr^2h
where:
V = volume
r = radius
h = height
In this case, we are given that the cylinder has a height of 3m, but we need to determine the radius.
Since we are not given the radius directly, we can estimate it from the diameter. If the cylinder has a diameter of 3m, then the radius would be half of that, or 1.5m.
So, substituting the values into the formula, we get:
V = π(1.5)^2(3)
V ≈ 21.2 m^3
Rounding to the nearest tenth, the volume of the cylinder is approximately 21.2 cubic meters.
The distance around 2 bicycle wheel is 22.98ft. What is the diameter
A. 7.3
B. 3.2
C. 1.3
D. 10.3
Please help!!!!!! i need the correct answer
I will mark you brainliest.
A rectangular prism with a volume of 222 cubic units is filled with cubes with side lengths of \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction unit.
How many \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction unit cubes does it take to fill the prism?
Answer: 128 cubes
Step-by-step explanation:The dimension of the rectangular prism is not given, assumed not important.
Find the volume of 1 cube:
Volume = 1/4 x 1/4 x 1/4
Volume = 1/64 units³
Find the number of cubes that can go into the prism:
Number of cubes = 2 ÷ 1/64
Number of cubes = 128
the ____ format specifier is used to denote a signed decimal integer.
The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.
When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.
For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.
Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.
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adding rational expressions with unlike denominators
The main step to add rational expressions with unlike denominators is to take least common multiple of denominator and make them like before applying the required operation.
To simplify rational expression of unlike denominators first take the least common multiple of all the denominators.Now make the unlike terms as like terms .Now add or subtract the numerator as per the given operation.For example : ( 1 / 5 ) + ( 2 / 3 )Take least common multiple of 5 and 3 is 15.( 1/ 5 ) = 3/ 15 and ( 2 / 3) = 10 / 15Add 3/15 + 10 /15 = ( 3 + 10 ) / 15Result is 13 / 15.Therefore, the addition of rational expressions with unlike denominators is simplified by taking least common multiple.
The above question is incomplete, the complete question is:
Write steps for adding rational expressions with unlike denominators with example ?
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Gary has turtles, cats, and birds for pets. The number of birds he has is 4 more than the number of turtles, and the
number of cats is 2 times the number of birds. Of the following, which could be the total number of Gary's pets?
A. 14
B. 18
C. 20
D. 22
E. 26
Answer:
b
Step-by-step explanation:
if the number of turtles is 2 then you add 4 birds so that is 6 then you times ti by 2 to get the number of cats
2:tutles
4:birds
12:cats
2+12+4=18
The total number of Gary's pets will be 18. Option B is correct.
What is an arithmetic operation?Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them. Addition, subtraction, multiplication, and division are the four basic math operations.
The number of birds he has is 4 more than the number of turtles,
y=x+4
c=2×b
if the number of turtles is 2 then you add 4 birds so that is 6 then you time by 2 to get the number of cats.
The total number of Gary's pets is found as;
T=2+12+4
T=18
The total number of Gary's pets will be 18.
Hence, option B is correct.
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A thick cylindrical shell with inner radius of 10 cm and outer radius of 16 cm is subjected to an internal pressure of 70MPa. Find the maximum and minimum hoop stresses.
The cylindrical shell is subjected to an internal pressure of 70MPa. The shell's inner radius is 10 cm, and the outer radius is 16 cm. The maximum and minimum hoop stresses in the cylindrical shell are determined below.
For an element of thickness dr at a distance r from the center, the hoop stress is given by equation i:
σθ = pdθ...[i]Where, p is the internal pressure.
The thickness of the shell is drThe circumference of the shell is 2πr.
Therefore, the force acting on the element is given by:F = σθ(2πrdr)....[ii]
Let σmax be the maximum stress in the shell. The stress at radius r = a, which is at the maximum stress, is given by:σmax = pa/b....[iii]
Here a = radius of the shell, and b = thickness of the shell.
According to equation [i], the hoop stress at radius r = a is given by:σmax = pa/b....[iii].
Substitute the given values:σmax = 70 × 10^6 × (16 - 10)/(2 × 10) = 56 × 10^6 Pa.
The minimum hoop stress in the shell occurs at the inner surface of the shell. Let σmin be the minimum stress in the shell.σmin = pi/b....[iv].
According to equation [i], the hoop stress at radius r = b is given by:σmin = pi/b....[iv]Substitute the given values:
σmin = 70 × 10^6 × 10/(2 × 10) = 35 × 10^6 Pa.
Therefore, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa.
A thick cylindrical shell with an inner radius of 10 cm and an outer radius of 16 cm is subjected to an internal pressure of 70MPa. Maximum and minimum hoop stresses in the cylindrical shell can be determined using equations and the given data. σθ = pdθ is the formula for hoop stress in the cylindrical shell.
This formula calculates the hoop stress for an element of thickness dr at a distance r from the center.
For the cylindrical shell in question, the force acting on the element is F = σθ(2πrdr).
Let σmax be the maximum stress in the shell. According to equation [iii], the stress at the radius r = a, which is the maximum stress, is σmax = pa/b.σmax is calculated by substituting the given values.
The maximum hoop stress in the shell is 56 × 10^6 Pa according to this equation.
Similarly, σmin = pi/b is the formula for minimum hoop stress in the shell, which occurs at the inner surface of the shell.
The minimum hoop stress is obtained by substituting the given values into equation [iv].
The minimum hoop stress in the shell is 35 × 10^6 Pa.As a result, the maximum and minimum hoop stresses in the cylindrical shell are 56 × 10^6 Pa and 35 × 10^6 Pa, respectively.
Thus, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa. These results are obtained using equations and given data.
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Is 3.1141141114 rational or irrational?
Draw a slope triangle, from point B, whose horizontal leg is along the x-axis. What are the lengths of the vertical and horizontal legs of your slope triangle?
Horizontal leg = 6 units
Vertical leg is 4 units
Lets Represent the diagonal as line AB where A and B are the endpoints of the line segment
The coordinates of point A is ( 12,4)
The coordinates of point B is ( 6,0)
Slope = ( Y2 - Y1 ) / (X2 -X1) = (0 - 4) / ( 6 - 12) = -4 / -6 = 2/3
or simply.
slope = rise / run = vertical leg/ horizontal leg = 4/6 = 2/3
ANSWER
Horizontal leg = 6 units
Vertical leg is 4 units
Slope = 2/3
There are 5 positions available in the new school. Of the applicant, 12 are men and 8 are women. In how many ways can 3 men and 2 women be chosen if they are equally considered?
There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
What is the multiplication principle of countingThe multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.
To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).
where n is the total number of men and r is the number of men chosen
so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.
Similarly, we evaluate the number of ways to choose 2 women from the 8 women
as = ⁸C₂ = 14
Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.
220 x 14 = 3080
Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
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Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.
The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.
To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.
(a) For A = 1, B = 0, and C = 1:
X = 1.¯¯¯¯¯¯01
To find the complement of BC, we replace B = 0 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001
(b) For A = B = C = 1:
X = 1.¯¯¯¯¯¯11
Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111
(c) For A = B = C = 0:
X = 0.¯¯¯¯¯¯00
Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:
X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000
In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.
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are these correct? and what’s the answer for #24?
The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)
How to determine the conversion?The measure is given as:
0.85 hg
As a general rule:
1 hectogram (hg) = 1000 decigram (dg)
So, multiply both sides of the above equation by 0.85
So, we have:
0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)
Evaluate the product
0.85 hectogram (hg) = 850 decigram (dg)
Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)
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problem 1.)
question. there is a function h(t) that will give a ball's height in terms of the time t since it was launched. Soecifially, if t is in secinds and h(t) is in feet, then h(t) = -16t^2 + 160t + 176
Question 1
What is the initial height of the ball?
Question 2
b. ) How long does it take the ball to reach the maximum height?
Question 3
Using the EQUATION, find the exact maximum height.
Question 4
What is the height of the rocket at 3 seconds
______________________
Problem 2
y = x^2 - 4x + 7
Opens;
Vertex;
Min. or Max.:
Axis of Symm:
y-intercept:
Roots:
Domain:
Range:
______________________
problem 3
y = - 2x^2 - 20x - 51
Opens:
Vertex:
Min. or Max.:
Axis of Symm:
y-intercept:
Zeros:
Domain:
Range:
______________________
problem 4
y = x^2 - 7
Opens:
Vertex:
Min. or Max.:
Axis of Symm:
y-intercept:
Solutions:
Domain:
Range:
______________________
problem 5
y = - x^2 + 6x
Opens:
Vertex:
Min. or Max.:
Axis of Symm:
y-intercept:
x-intercepts:
Domain:
Range:
For the given quadratic function:
1) The initial height is 176 ft.
2) The time is 5 seconds.
3) The maximum height is 576 ft
4) The heigth is 512 ft
How to find the initial height of the ball?Here we have the quadratic equation:
h(t) =-16t² + 160t + 176
That models the height.
The initial height is what we get when we evaluate in t = 0, we will geT:
initial height = 16*0² + 160*0 + 176 = 176
2) The maximum height is at the vertex, it is at:
t = -160/(2*-16) = 5
So it takes 5 seconds
3) Evaluating in t = 5 we will get:
h(5) = -16*5² + 160*5 + 176 = 576 ft
So the maximum height is 576 ft.
4) The height at t = 3 seconds is:
h(3) = -16*3² + 160*3 + 176 = 512 ft
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.A key concept in agile projects is that something of value will be delivered at each iteration.
True or false?
Answer:
Step-by-step explanation:
Which statements about the relationship between the two triangles below are true? Check all that apply.Mark this and return
I am confused how they were able to get the constraints in ch6
problem 10P
In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.
However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.
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A. Your bed is a rectangle that is 4 feet by 6 feet wide. Draw a model of it below and label the dimensions. Find the perimeter and area of the bed. B. Dad reminds you that you keep you suitcase, a box of legos, your memory box, and your stash of snacks underneath your bed. They are all rectangle. The suitcase has a perimeter of 14 feet. The Lego box has a perimeter of 10 feet. The stash has a perimeter of 10 feet. The stash has a perimeter of 6 feet. C. Find the area and dimensions of each item under your bed
The model which model the dimensions of the bed has been attached.
The perimeter and area of the bed is 10 feet and 24 square feet respectively.The perimeter of your bed is less than the perimeter of the items, so not all items can be underneath your bed.What is the perimeter and area of the bed?Length of the rectangle = 6 feetWidth of the rectangle = 4 feetPerimeter of the bed = 2(length + width)
= 2(6 + 4)
= 2(10)
= 20 feet
Area of the bed = Length × width
= 6 feet × 4 feet
= 24 square feet
Perimeter of the suitcase = 14 feetPerimeter of Lego box = 10 feetPerimeter of memory box = 10 feetPerimeter of stash = 6 feetTotal perimeter = 14 + 10 + 10 + 6
= 40 feet
Therefore, the items listed can not all be underneath your bed because the total perimeter of the items is greater than the perimeter of your bed.
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a. Find a particular solution to the nonhomogeneous differential equation y ′′
+4y ′
+5y=−15x+3e −x
. y p
= (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use c 1
and c 2
in your answer to denote arbitrary constants, and enter them as c1 and c2. y h
= help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use c 1
and c 2
in your answer to denote arbitrary constants.
The general solution of an associated homogeneous differential equation is yh(x) = c1e^(-2x)cosx + c2e^(-2x)sinx and general solution to the original non-homogeneous differential equation is y(x) = c1e^(-2x)cosx + c2e^(-2x)sinx + (3/2) e^-x.
Given the differential equation:
y''+4y'+5y=-15x+3e^-x.
a) We have the characteristic equation as:
r^2 + 4r + 5 = 0
The roots of the above quadratic equation are:
r = -2 + i and r = -2 - i
Therefore, the solution to the associated homogeneous differential equation:
yh(x) = c1e^(-2x)cosx + c2e^(-2x)sinx (where c1 and c2 are arbitrary constants)
Finding particular solution to the non-homogeneous differential equation:For non-homogeneous differential equation:
y''+4y'+5y=-15x+3e^-x
Let’s find the solution yp(x) using the method of undetermined coefficients. We have:
yp(x) = [(-15x + 3)/ A^2 + 4A + 5] x + (B/A^2 + 4A + 5) e^-x, where A and B are unknown constants, we have to find.
According to the undetermined coefficients method, as we have a term in the non-homogeneous differential equation of the form e^-x, thus we will consider the trial solution for yp(x) in the form:
yp(x) = C1 e^-x
Differentiating yp(x) to x, we get:
yp'(x) = -C1 e^-x
Differentiatingyp(x) again) with respect to x, we get:
yp''(x) = C1 e^-x,
Putting these values in the non-homogeneous differential equation, we get:
C1 e^-x + 4(-C1 e^-x) + 5(C1 e^-x) = 3e^-x-15x
Comparing the coefficients of both sides, we have:
C1 [1 + (-4) + 5] = 0
∴ C1 = 3/2
Therefore, the solution is: yp(x) = (3/2) e^-x. Now, adding the particular solution and general solution of the associated homogeneous equation, we get the general solution of the non-homogeneous differential equation:
y(x) = c1e^(-2x)cosx + c2e^(-2x)sinx + (3/2) e^-x
Thus, we have found that the particular solution to the nonhomogeneous differential equation is yp(x) = (3/2) e^-x, the general solution of associated homogeneous differential equation is yh(x) = c1e^(-2x)cosx + c2e^(-2x)sinx and the general solution to the original nonhomogeneous differential equation is y(x) = c1e^(-2x)cosx + c2e^(-2x)sinx + (3/2) e^-x.
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Reorder the following equations in ascending order of steepness: y= 15x + 5 y= 0.15x - 1 y=x y= x + 100
Answer:
y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.
Step-by-step explanation:
When the slope of a line is less than 1 (if the slope is a decimal), the slope will not be steep. But when the slope is more than 1, the slope will be steeper than the average.
According to that rule, the steepest will be y = 15x + 5.
The next steepest equations will be y = x and y = x + 100 (they are both at the same degree of steepness; the intercept does not impact the steepness of the line).
The least steepest will bey = 0.15x - 1.
So, the order, from least steep to most steep, will be y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.
Hope this helps!
In interval estimation, as the sample size becomes larger, the interval estimate
becomes narrower. becomes wider. remains the same, because the mean is not changing.
gets closer to 1.96.
If the confidence coefficient reduces to 0.90, the confidence interval for μ becomes narrower.
What is an Interval estimation?
Interval estimation in statistics refers to the use of sample data to calculate an interval of likely values for an interesting parameter.
What is Mean?
It's obtained by simply dividing the sum of all values in a data set by the number of values. The calculation can be done from raw data or for data aggregated in a frequency table.
In interval estimation, as the sample size becomes larger, the interval estimate becomes narrower.
A 95% confidence interval for population mean is determined to be 100 to 120.
If the confidence coefficient reduces to 0.90, the confidence interval for μ becomes narrower.
Hence the answer is If the confidence coefficient reduces to 0.90, the confidence interval for μ becomes narrower.
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x + (1/2x + 3) = 180 The measure of the smaller and larger angle.
The measure of the Smaller and the larger angle will be ;
X1 = 354 - √(2&31327) / 4
X2 = 354 + – √(2&31327) / 4
X1 = -b - √∆ / 2a = - (-354 ) – √(2&31327) / 2a
=354 - √(2&31327) / 4
X2 = -b + √∆ / 2a = - (-354 ) + – √(2&31327) / 2a
=354 + – √(2&31327) / 4
x + (1/2x + 3) = 180
x + (1/2x + 3)-180=0
Domain of the equation 2x + 3!=0
Multiplying ,
X * 2x + 3 * 2x – 180 * 2x +1 =0
2 * ^2 +6x – 360x + 1 = 0
2 x ^ 2 – 354 x + 1 = 0
Here ,
a = 2
b = -354
c = 1
∆= b2-4ac
=-3542 – 4 * 2 * 1
∆ = 125308
∆ value is higher than 0, s the equations have 2 solutions.
X1 = -b -√∆ / 2a
X2 = -b + √∆ / 2a
End solution, will be
Hence , the root of = √125308 = √(4*31327)
= √(2&31327)
X1 = -b - √∆ / 2a = - (-354 ) – √(2&31327) / 2a
=354 - √(2&31327) / 4
X2 = -b + √∆ / 2a = - (-354 ) + – √(2&31327) / 2a
=354 + – √(2&31327) / 4
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Graph the line that represents this equation y= -5x + 2
Answer:
Graph this points u will get the line.
(0,2) (2/5,0)
Step-by-step explanation:
The intercept of line with x-axis is at (0.4, 0) and with y-axis is at (0, 2).
What is the graph of the function?The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.
The equation of the line is given below.
y = – 5x + 2
Put y = 0, then the x-intercept will be
0 = – 5x + 2
x = 2/5
x = 0.4
The x-intercept is (0.4, 0).
Put x = 0, the y-intercept will be
y = – 5(0) + 2
y = 2
The y-intercept is (0.4, 0).
Then the equation of line is drawn below.
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PLEASE HELP ME!!!! WILL MARK BRAINLIEST
Answer:
h = 6
Step-by-step explanation:
Answer:
yikes! i hope someone helps you!!!!
2x - 3
A 3/2
B 6
C 9
D 15
Answer:
A: \(\frac{3}{2}\)
Step-by-step explanation:
\(\mathrm{The\:roots\:are\:the\:intercepts\:with\:the\:x-axis}\:\left(y=0\right)\)
\(2x-3=0\)
\(\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\)
\(2x-3+3=0+3\)
\(\mathrm{Simplify}\)
\(2x=3\)
\(\mathrm{Divide\:both\:sides\:by\:}2\)
\(\frac{2x}{2}=\frac{3}{2}\)
\(Simplify\)
\(x=\frac{3}{2}\)
10. need help with this question plzz
Answer:
okay
Step-by-step explanation:
SO MARK THE PERIMETER AND THE FORMULA FOR FINDING TRAPEZUIM IS
area=1/2 (a+b)h
Answer:
144 cm²
Step-by-step explanation:
5x + 12x + 6x + 5x = 56
=> 28x = 56
=> x = 2
DC => 6x = 6(2) = 12
AB => 12x = 12(2) = 24
BC => 5x = 5(2) = 10
AD => 5x = 5(2) = 10
trapezium is an isosceles trapezium because a trapezium with a pair of non-parallel sides(BC&AD) that have equal distances, which are congruent, is an isosceles trapezium.
Thus, the base of the two triangles on each side are congruent.
base: (AB - DC) ÷ 2 = (24 - 12) ÷ 2 = 6
calculate the height using Pythagorean theorem => √10² - 6² = 8
area of the isosceles trapezium ABCD: (12 + 24) × 8 ÷ 2 = 144
Help please i am stuck! More points!
Answer:
I belive it would be 102
Step-by-step explanation:
Answer:
306 cm
Step-by-step explanation:
the opposite side is the same as the shaded side
18 x 17 = 306 cm
Show all work to factor x4 − 5x2 + 4 completely.
Answer:
( − 2 ) ( − 1 ) ( + 1 ) ( + 2 )
Step-by-step explanation:
Find one factor
( − 2 ) ( ^3+ 2 ^ 2 − − 2 )
( − 2 ) ( − 1 ) ( ^ 2 + 3 + 2 )
( − 2 ) ( − 1 ) ( + 1 ) ( + 2 )
( − 2 ) ( − 1 ) ( + 1 ) ( + 2 )