Answer:
tan C = 5/√39
Step-by-step explanation:
tan C = opp/adj
For angle C, the opposite leg is AB, 5.
The adjacent leg is BC, √39.
tan C = 5/√39
a tent maker wishes to support a 11-ft tent wall by attaching cable to the top of it, and then anchoring the cable 7 feet from the base of the tent. how long of a cable is needed?
A cord of roughly 13.04 feet is demanded to support the 11 ft roof wall and anchor it 7 feet from the base of the roof.
We can use the Pythagorean theorem to break this problem.
Let the length of the cord be represented by the variable c. We know that the height of the roof wall is 11ft and the distance from the base of the roof to where the cord will be anchored is 7ft. We can use these values to form a right triangle, where the length of the cord is the hypotenuse
Using the Pythagorean theorem, we have
c^2 = 7^2 + 11^2
c^2 = 49 + 121
c^2 = 170
Taking the square root of both sides, we get
c = sqrt( 170)
c is roughly 13.04 feet.
thus, a cord of roughly 13.04 feet is demanded to support the 11- ft roof wall and anchor it 7 feet from the base of the roof.
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Tanika booked a banquet hall for a party. The hall charged $15 per
person, with a required tip of $60 for the waiters. Tanika knows
that the total bill was $315 without tax, but she lost track of how
many people attended. She writes and solves an equation, where p
represents the number of people who attended.
What operation describes Tanika's missing work in Step 2?
Step 1: 315= 15p +60
Step 2: ?
Step 3: 255=15p
Step 4: 255/15 = 15p/15
Step 5: p=17
What operation describes Tanika’s missing work in step 2?
A. added 60 to both sides
B. multiplied both sides by 15
C. divided both sides by 15
D. subtracted 60 from both sides
Letter choice: ?
Answer:
D. subtracted 60 from both sides
Step-by-step explanation:
Step 1: 315= 15p +60
Step 2: 315 - 60 = 15p
Step 3: 255=15p
Step 4: 255/15 = 15p/15
Step 5: p=17
Answer: D. subtracted 60 from both sides
Step-by-step explanation:
How does someone get from 315 = 15p + 60 to 255 = 15p? To solve 315 = 15p + 60, we would need to isolate the variable p.
To isolate the variable p, the first step in solving the equation would be to subtract 60 from both sides; it would look like this:
> Step 2: 315 - 60 = 15p + 60 - 60
If you solve this out, you get:
> Step 3: 255 = 15p
Step two subtracts 60 from both sides of step one to achieve step 3.
How do government intervention permitable taxes help to reduce the emission of greenhouse gases by avaoiding a market failure. please explain with an economic diagram.
Government can help reduce greenhouse gas emissions by addressing market failures. These taxes internalize the external costs associated with emissions, providing economic incentives for polluters.
When greenhouse gas emissions occur, they often impose external costs on society in the form of environmental damage and climate change. However, in a free market, these costs are not taken into account by polluters, resulting in an overproduction of emissions, which is a market failure.
To address this market failure, government intervention in the form of permissible taxes can be implemented. These taxes are designed to reflect the external costs associated with emissions. By levying taxes on polluters based on the quantity of emissions they produce, the government internalizes the external costs and creates economic incentives for polluters to reduce their emissions.
The economic diagram illustrating this intervention would show the supply and demand curves for the good or service that generates emissions. Initially, the supply curve would not account for the external costs, resulting in a market equilibrium that leads to excessive emissions.
With the introduction of permissible taxes, the supply curve would shift upward, reflecting the additional costs imposed by emissions. This shift would increase the price of the good or service, reducing the quantity demanded and incentivizing producers to find cleaner and more efficient production methods.
The new equilibrium would result in a lower level of emissions and a more efficient allocation of resources. Overall, permissible taxes help internalize the external costs of emissions, encouraging polluters to reduce their emissions and mitigating the negative environmental impacts.
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Given the following linear optimization problem Maximize 250x + 150y Subject to x + y ≤ 60 3x + y ≤ 90 2x+y>30 x, y 20 (a) Graph the constraints and determine the feasible region. (b) Find the coordinates of each corner point of the feasible region. (c) Determine the optimal solution and optimal objective function value.
The linear optimization problem is to maximize the objective function 250x + 150y, subject to the constraints x + y ≤ 60, 3x + y ≤ 90, and 2x + y > 30, where x and y are both greater than or equal to 20.
what is the feasible region and the optimal solution for the given linear optimization?The feasible region can be determined by graphing the constraints and finding the overlapping region that satisfies all the conditions. In this case, the feasible region is the area where the lines x + y = 60, 3x + y = 90, and 2x + y = 30 intersect. This region can be visually represented on a graph.
To find the corner points of the feasible region, we need to find the points of intersection of the lines that form the constraints. By solving the systems of equations, we can find that the corner points are (20, 40), (20, 60), and (30, 30).
The optimal solution and the optimal objective function value can be determined by evaluating the objective function at each corner point and selecting the point that yields the maximum value. By substituting the coordinates of the corner points into the objective function, we find that the maximum value is achieved at (20, 60) with an objective function value of 10,500.
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hey guys I really need help and it also asks to give my answer as a decimal!
Answer:
(1,5) is your answer
Step-by-step explanation:
You would have to divide the
2 and 10 by 2 and you would get (1,5)
Hope that help!Have a GREAT day!!
And Brainiest is needed!
how do i solve 5x - 4 = 36 *EXTRA POINTS
Answer:
x=8
Step-by-step explanation:
5x=40
x=40/5
x=8
Answer:
hope this helped you
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Find all rational zeros of the given polynomial function.
f(x) = x^3 + 8x^2 + 5x – 14
Answer:
x = 1, -2, -7
Step-by-step explanation:
Just factor, you got this!
Suppose you are a quality control manager in a factory. You are experimenting with a new dispensing machine. You collect data from a random sample of 13 boxes filled by the machine. The weight of each box (in pounds) is as follows: Hours 3 2. 3 2. 5 2. 3 2. 8 2. 7 2. 3 2. 7 2. 8 2. 3 2. 2 3 2002. 6 a) What is a point estimate for the population mean weight? (Round answer to 3 decimal places) b) What must be true in order to construct a confidence interval in this situation? Select an answer > c) Construct a 98% confidence interval for the population mean weight. Enter your answer as an open- interval (f. E. , parentheses example (5. 2314,8. 1245)) Round upper and lower bounds to 3 decimal places, d) What does it mean to be "98% confident in this problem? The confidence interval contains 98% of all sample weights
a) The point estimate for the population mean weight can be calculated as the sample mean, which is the sum of all the weights divided by the number of boxes in the sample:
(3 + 2.3 + 2.5 + 2.3 + 2.8 + 2.7 + 2.3 + 2.7 + 2.8 + 2.3 + 2.2 + 3.2 + 2002.6) / 13 ≈ 154.673 pounds
So the point estimate for the population mean weight is approximately 154.673 pounds.
b) To construct a confidence interval for the population mean weight, we must know the population standard deviation or the sample standard deviation, as well as the sample size. In this case, we are given the sample size but not the population standard deviation or the sample standard deviation. Therefore, we need to assume that the population standard deviation is unknown and use the t-distribution to construct the confidence interval.
c) To construct a 98% confidence interval for the population mean weight, we first need to calculate the standard error of the mean:
SE = s / sqrt(n)
where s is the sample standard deviation and n is the sample size. Since we do not have the sample standard deviation, we can use the formula for the unbiased estimator of the population standard deviation:
s = sqrt(Σ(xi - x)^2 / (n - 1))
where xi is the weight of the i-th box, x is the sample mean, and n is the sample size. Plugging in the values, we get:
s = sqrt((Σ(xi - x)^2) / (n - 1)) = sqrt(163077.0357 / 12) ≈ 152.064
So the standard error of the mean is:
SE = 152.064 / sqrt(13) ≈ 42.013
Using a t-distribution with 12 degrees of freedom (n - 1), and a confidence level of 98%, the critical value is:
t* = 2.681
The 98% confidence interval for the population mean weight is:
(154.673 - 2.681 * 42.013 / sqrt(13), 154.673 + 2.681 * 42.013 / sqrt(13))
which simplifies to:
(108.987, 200.359)
Rounding to 3 decimal places, the 98% confidence interval is (108.987, 200.359).
d) Being "98% confident in this problem" means that if we were to repeat this experiment many times and construct 98% confidence intervals for the population mean weight based on each sample, we would expect 98% of those intervals to contain the true population mean weight. In other words, we are very likely to capture the true population mean weight within the calculated confidence interval.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Given that \( \phi(x, y, z)=x e^{z} \sin y . \) Find \( \bar{\nabla} \cdot(\bar{\nabla} \phi) \)
The value of \(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) is \(e^z\cos y\).
The gradient is a vector operation that transforms a scalar function into a vector with a magnitude equal to the highest rate of change of the function at the gradient's point and a direction pointing in the same direction.
To find \(\bar{\nabla} \cdot(\bar{\nabla} \phi)\), we need to calculate the divergence of the gradient of the function ϕ.
The gradient of ϕ is given by:
\(\bar{\nabla} \phi\) = (∂x/∂ϕ, ∂y/∂ϕ, ∂z/∂ϕ)
Let's calculate the partial derivatives of ϕ with respect to each variable:
\(\frac{\partial \phi}{\partial x}=e^{z}\sin y\)
\(\frac{\partial \phi}{\partial y}=xe^{z}\cos y\)
\(\frac{\partial \phi}{\partial z}=xe^{z}\sin y\)
Now, we can find the divergence of \(\bar{\nabla} \phi\) by taking the sum of the partial derivatives:
\(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) = \(\frac{\partial}{\partial x}(e^z\sin y)+\frac{\partial}{\partial y}(xe^z\cos y)+\frac{\partial}{\partial z}(xe^z\sin y)\)
Simplifying each partial derivative:
\(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) = \(e^z\cos y\) + \((-xe^z\sin y)\) + \((xe^z\sin y)\)
Combining like terms, we find:
\(\bar{\nabla} \cdot(\bar{\nabla} \phi)\) = \(e^z\cos y\)
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The complete question is:
Given that \(\phi(x, y, z)=x e^{z} \sin y\) Find \(\bar{\nabla} \cdot(\bar{\nabla} \phi)\).
Let M be the portion of the cylinder x2 + z2 = 1, os y < 3, oriented by unit normal N = (x, 0, z). Verify the generalized Stokes's theorem for M and w = zdx + (x + y +z)dy-x dz.
To verify the generalized Stokes's theorem for the given region M and vector field w, we need to evaluate the surface integral of the curl of w over M and compare it to the line integral of w over the boundary of M.
First, let's find the curl of w:
curl(w) = (d/dy)(x + y + z) - (d/dz)(z) dx + (d/dz)(zdx) + (d/dx)(x) dy
= (1 - 0) dx + (0 - 1) dy + (0 - 1) dz
= dx - dy - dz
Next, let's parametrize the surface M. We can use cylindrical coordinates:
x = cos(theta)
y = y
z = sin(theta)
The unit normal vector N = (x, 0, z) becomes N = (cos(theta), 0, sin(theta)).
The bounds for theta will be from 0 to 2*pi, and for y, it will be from -∞ to 3.
Now, let's evaluate the surface integral of curl(w) over M:
∫∫_M curl(w) · dS
= ∫_0^(2pi) ∫_-∞^3 (cos(theta), 0, sin(theta)) · (dx - dy - dz) dy d(theta)
= ∫_0^(2pi) ∫_-∞^3 (cos(theta) - sin(theta)) dy d(theta)
= ∫_0^(2pi) (3 - (-∞)) (cos(theta) - sin(theta)) d(theta)
= ∫_0^(2pi) 3(cos(theta) - sin(theta)) d(theta)
= 3[ sin(theta) + cos(theta) ] |_0^(2pi)
= 3[ sin(2pi) + cos(2*pi) - (sin(0) + cos(0)) ]
= 3(0 + 1 - 0 - 1)
= 3(0)
= 0
Now, let's calculate the line integral of w over the boundary of M. The boundary curve consists of two parts: the upper circle and the lower circle.
For the upper circle (y = 3):
r = (cos(theta), 3, sin(theta)), theta ∈ [0, 2*pi]
dr = (-sin(theta), 0, cos(theta)) d(theta)
∫_C1 w · dr = ∫_0^(2pi) (sin(theta) d(theta) + (cos(theta) + 3) d(theta) + 0)
= ∫_0^(2pi) (sin(theta) + cos(theta) + 3) d(theta)
= [ -cos(theta) + sin(theta) + 3theta ] |_0^(2pi)
= [-1 + 1 + 6pi - (-1 + 0)] = 6pi
For the lower circle (y = -∞):
r = (cos(theta), -∞, sin(theta)), theta ∈ [0, 2*pi]
dr = (-sin(theta), 0, cos(theta)) d(theta)
∫_C2 w · dr = ∫_0^(2pi) (sin(theta) d(theta) + (cos(theta) + (-∞) + 0)
= ∫_0^(2pi) (sin(theta) + cos(theta) - ∞) d(theta)
= [-cos(theta) + sin(theta) - ∞theta ] |_0^(2pi)
= [-1 + 1 - ∞2pi
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When an alternating current of frequency f and peak current I_0 passes through a resistance R, then the power delivered to the resistance at time t seconds is P = I^2_0 R sin^2 2 pi ft. Write an expression for the power in terms of csc^2 2 pi ft. P = I^2_0 R/(csc^2 2 pi ft) P = I^2_0 R (csc^2 2 pi ft) P = I^2_0/(1 - csc^2 2 pi ft) P = I^2_0 R(1 - csc^2 2 pi ft)
The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.
To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).
Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.
Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).
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If m(x) = 4(x - 2), find m(-5)
Answer:
szdg
Step-by-step explanation:
hesre
Answer:
-5×x=4(x-2)
-5x=4x-8
-5x-4x=-8
-9x=-8
Divide both sides by -9x
x=8/9
Step-by-step explanation:
The common difference of an arithmetic sequence
-8 and its first term is 52. What is the 3rd term of this sequence?
A
60
B) 46
C) 68
36
Answer:
Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Dominique WilkinsKobeMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Vince CarteMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.black smoke led dual headlights 2006 honda accordHow to wrap a 2006 honda accord 2 door Kapaa HI 967465108 hekili rd378969jhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehBlake GriffinMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.KobeJulius Erving;-;;-;
SOLVE THE FIRST ONE! TEN POINTS FOR THE BRAINLEIST:)))
Answer:
a)12+(-4) b)-4+12 c)4+(-12)
=12-4 =+(12-4) =4-12
=8 =8 = -8
True or false: The function f(x)=(x-5)^(3)-4 is a transformation of the parent function f(x)=x^(3) shifted down 4 units, and shifted right 5 units.
False. The function f(x) = (x - 5)^(3) - 4 is not a transformation of the parent function f(x) = x^(3) shifted down 4 units and shifted right 5 units.
The given function involves both a horizontal and vertical shift, but the parent function f(x) = x^(3) only has a vertical shift.
In the given function f(x) = (x - 5)^(3) - 4, the expression (x - 5) represents a horizontal shift of 5 units to the right, and the -4 represents a vertical shift of 4 units downward. Additionally, the cube function (x^(3)) is applied to the shifted value.
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You deposit $450 in an account that pays
6% interest compounded yearly. What is
the account balance after 6 years?
Answer:
638.33
Step-by-step explanation:
\(450(1+.06)^6\)
please rate and mark as brainles.t
Pls answer! this problem
Answer:
9k + 36 represent the perimeter of the triangle. (I think)
Step-by-step explanation:
3k + 5 + 15 + 4k + 2k + 16 = the perimeter of the triangle
reorganize:
(3k + 4k + 2k) + (5 + 15 + 16)
9k + 36
Have a nice day!
Factor the trinomial and show your work.
x^2 - 10x + 9
Answer:
\((x - 9)(x - 1)\)
Step-by-step explanation:
We can factor the trinomial using the rule:
IF \(x^2 + cx + d = (x + a)(x + b)\),
THEN \(a + b = c\) and \(a \cdot b = d\).
We know that -9 and -1 add to -10. They also multiply to 9.
Therefore, we can factor \(x^2 - 10x + 9\) as:
\(\boxed{(x - 9)(x - 1)}\)
The factors of the given trinomial are (x-9)(x-1).
What is trinomial?Trinomial is a polynomial having 3 terms. At least one variable and one operation (addition, subtraction, multiplication, division) must be present in an algebraic expression.
Given that, a trinomial x² - 10x + 9, we need to find the factors,
So,
x² - 10x + 9
= x² - 9x - x + 9
= x(x-9) -1(x-9)
= (x-9)(x-1)
Hence, the factors of the given trinomial are (x-9)(x-1).
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G(t)=(t+1) 2 −20. 25g What are the zeros of the function?
The zeros of the function G(t) are given by t = -1 + √(20.25g) and t = -1 - √(20.25g).
What is algebra?
Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.
To find the zeros of the function G(t), we need to find the values of t that make G(t) equal to zero. So, we start by setting G(t) to zero and solving for t:
G(t) = 0
(t+1)2 - 20.25g = 0 [substituting G(t) in place of 0]
(t+1)2 = 20.25g [adding 20.25g to both sides]
t+1 = ±√(20.25g) [taking the square root of both sides]
t = -1 ± √(20.25g) [subtracting 1 from both sides]
So, the zeros of the function G(t) are given by t = -1 + √(20.25g) and t = -1 - √(20.25g).
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Consider the box plot below. Which of the following statements is true? A. The distribution is skewed to the right. B. The distribution is skewed to the left. C. The distribution is symmetric. D. the center of the distribution is 600.
Answer:
The distribution is skewed to the right.
Step-by-step explanation:
There are more data values to the left of the box plot, indicating that the distribution is skewed to the right.
El resultado de \(2^{40}+2^{39}+2^{36}\) es divisible por i) 8 ii) 10 iii) 100
Explanation:
We can factor out 8 like so
2^40 + 2^39 + 2^36 = 2^3*2^37 + 2^3*2^36 + 2^3*2^33
2^40 + 2^39 + 2^36 = 2^3*(2^37 + 2^36 + 2^33)
2^40 + 2^39 + 2^36 = 8*(2^37 + 2^36 + 2^33)
Showing that 8 is a factor of 2^40 + 2^39 + 2^36
In other words, 2^40 + 2^39 + 2^36 is divisible by 8
can you apply the properties of rational exponents to an example?
We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.
Certainly! Here's an example:
Simplify the expression: \((16x^4)^(-1/2)\)
We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:
\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)
Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):
\(16^(-1/2) = 1/16^(1/2) = 1/4\)
Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):
\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)
Substituting these simplifications back into the original expression, we get:
\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)
Therefore, the simplified expression is \(1/(4x^2).\)
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The two bases of a right conical frustum have radii 12 and 9. The two bases are 4 units apart. Let the volume of the frustum be $V$ cubic units and the total surface area of the frustum be $A$ square units. Find $V A$.
The product of the volume and total surface area of the given right conical frustum is approximately 146520π². To find the product of the volume and total surface area of a right conical frustum, we first need to determine the individual values of volume and surface area.
The volume of a frustum can be calculated using the formula:
V = (1/3)πh(r₁² + r₂² + r₁r₂),
where h is the height of the frustum, r₁ and r₂ are the radii of the larger and smaller bases, respectively.
In this case, we are given that the radii of the larger and smaller bases are 12 and 9 units, respectively. We also know that the two bases are 4 units apart, which means the height of the frustum is 4 units.
Substituting the given values into the formula, we have:
V = (1/3)π(4)(12² + 9² + 12*9)
= (1/3)π(4)(144 + 81 + 108)
= (1/3)π(4)(333)
= (4/3)π(333)
≈ 444π cubic units
Now, let's move on to calculating the total surface area of the frustum. The formula for the total surface area is:
A = π(r₁ + r₂)ℓ + πr₁² + πr₂²,
where ℓ is the slant height of the frustum.
Since the frustum is a right frustum, the slant height ℓ can be found using the Pythagorean theorem:
ℓ = √(h² + (r₁ - r₂)²)
Substituting the given values, we have:
ℓ = √(4² + (12 - 9)²)
= √(16 + 9)
= √25
= 5
Now we can calculate the total surface area:
A = π(12 + 9)(5) + π(12²) + π(9²)
= π(21)(5) + π(144) + π(81)
= 105π + 144π + 81π
= 330π square units
Finally, to find the product of the volume and total surface area, we multiply the two values:
VA = (444π)(330π)
≈ 146520π²
Therefore, the product of the volume and total surface area of the given right conical frustum is approximately 146520π².
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Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer:
Part A: I think only think that the scale factor of dialation is 1/7. The original triangle is reflected by the x-axis by 14 units. The triangle P'Q'R' is a total of 2 blocks up.
Part B: I really do not know this I am very sorry. :_(
Part C: No they are not congruent, the triangle PQR is bigger. In order for a shape to be congruent it must be the same size and have the same vertices.
Step-by-step explanation:
find x:x+x=20
please find x for me
Answer:
x = 10
Step-by-step explanation:
10 + 10 = 20
Good luck with your work!
Answer:
x = 10
Step-by-step explanation:
x + x = 20 can also be interpreted as 2x = 20. This makes it easier to solve for the variable.
To isolate x, do the inverse operation of multiplication. So, we have to divide both sides of the equation by 2.
\(\frac{2x}{2}\) = \(\frac{20}{2}\)
Simplify this equation for x = 10.
I hope this is helpful. Good luck ^^
Find an ordered pair that satisfies the function y= 5x - 10.
Answer:
(2,0)
Step-by-step explanation:
Plug in 2 for x
y=5(2)-10
y=10-10
y=0
Therefore
x=2, y=0
or
(2,0)
Answer:
(0,-10), (1,-5), (2,0)
Step-by-step explanation:
Sorry if I'm wrong
Radiant Age Berhad acquired 30% of the ordinary shares of Glitter Berhad on 1 January 2022. Radiant Age Berhad holds a substantive option to acquire another 25% of the ordinary shares of Glitter Berhad, but the option can only be exercised in 40 days (12 February 2022). Discuss when Radiant Age Berhad controlled Glitter Berhad. (5 marks)
Control typically arises when an entity has the power to govern the financial and operating policies of another entity to obtain benefits from its activities. In this case, Radiant Age Berhad initially acquired 30% of the ordinary shares of Glitter Berhad on 1 January 2022.
Acquiring 30% of the ordinary shares indicates a significant ownership stake in Glitter Berhad. However, control is not solely determined by the percentage of shares owned. It also depends on the ability to influence the financial and operating policies of the entity.
Given that Radiant Age Berhad holds a substantive option to acquire another 25% of the ordinary shares, it suggests a potential increase in ownership to a total of 55%. However, the option can only be exercised in 40 days, which is on 12 February 2022.
To determine control, we need to evaluate whether Radiant Age Berhad had the ability to govern the financial and operating policies of Glitter Berhad before exercising the option. Factors such as board representation, voting rights, contractual agreements, and the ability to influence key decision-making are crucial in assessing control.
Since the option to acquire the additional 25% of shares can only be exercised after 12 February 2022, Radiant Age Berhad did not have control over Glitter Berhad before that date. Control would only be established if and when the option is exercised, and Radiant Age Berhad obtains the additional shares, bringing their total ownership to 55%.
It's important to note that control is a complex concept, and the specific details of the option agreement and other factors may influence the determination of control. Professional judgment and a detailed analysis of the circumstances would be necessary to arrive at a conclusive assessment of control in this scenario.
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How many square inches are in 60 square fee
Answer:8640 square inches
Step-by-step explanation:
PLS HELP MATHH!!! FIVE STARS!!!
Polynomials are closed under subtraction.
Question 22 options:
True
False
Answer:
True
Step-by-step explanation:
sry if it wrong