What is the minimum number of triangles needed to construct a hexagon?

Answer:

57%

Step-by-step explanation:

You need to find the percentage of people that are either on the boardwalk or the sand.  Do this by adding the two given percentages.

20% + 23% = 43%

Since the rest of the people are in the water, you can subtract the percentage found above (43%) by 100% to find the answer.

100% - 43% = 57%

The percentage of people in the water are 57%

The length of the arc WX is the number of units on the arc

The length of the arc WX is \(\frac{8}{9} \pi\)

The given parameters are:

Central angle, m<WVX = 20 degrees

Radius, VW = 8

The length (L) of the arc is calculated as:

\(L = \frac{\theta}{360} * 2\pi r\)

Substitute known values

\(L = \frac{20}{360} * 2\pi *8\)

Evaluate the product

\(L = \frac{320}{360} \pi\)

Simplify the fraction

\(L =\frac{8}{9} \pi\)

Hence, the length of the arc is \(\frac{8}{9} \pi\)

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Answer:

175000 km

Step-by-step explanation:

the 1:25000 essentially means that every centimeter represents 25000 kilometers. so the answer is 175000 by multiplying 7 and 25000

To solve the given differential equation using the Laplace transform method, we apply the Laplace transform to both sides of the equation.

By substituting the initial conditions and using the properties of the Laplace transform, we can simplify the equation and solve for the Laplace transform of x(t). Finally, by applying the inverse Laplace transform, we obtain the solution for x(t) in terms of the given initial conditions and coefficients.

Let's denote the Laplace transform of a function f(t) as F(s), where s is the complex frequency variable. Applying the Laplace transform to the given differential equation ď²x/dt² + 5a(dx/dt) + 68x = 0, we have:

s²X(s) - sx(0) - x'(0) + 5a(sX(s) - x(0)) + 68X(s) = 0

Substituting the initial conditions x(0) = xo and x'(0) = 0, and rearranging the equation, we get:

(s² + 5as + 68)X(s) = sx(0) + 5ax(0)

Simplifying further, we have:

X(s) = (sx(0) + 5ax(0)) / (s² + 5as + 68)

To find the inverse Laplace transform of X(s), we can use partial fraction decomposition. Assuming the roots of the denominator are r1 and r2, we can write:

X(s) = A/(s - r1) + B/(s - r2)

By finding the values of A and B, we can express X(s) as a sum of two simpler fractions. Then, by applying the inverse Laplace transform, we obtain the solution x(t) in terms of the given initial conditions and coefficients.

Given that r(t) = 2e^(-t/2)(cos(t) - 24sin(t)) is a solution of the ODE + a + x = 0, we can compare this solution with the obtained solution x(t) to find the values of the coefficients a and xo. By equating the corresponding terms, we can solve for a and xo, completing the solution of the given differential equation.

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Answer:

.857

Step-by-step explanation:

6/7 = about .8571

rounded to thousandth is .857

The principal amount started at $7539.68.

Given that, amount =$9,500, rate of interest = 6.5% and time period =4 years.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100

Let the principal amount be x

Now, simple interest = Amount - Principal

= 9500-x

Here, 9500-x=(x×6.5×4)/100

⇒ 0.26x=9500-x

⇒ 1.26x=9500

⇒ x=9500/1.26

⇒ x=$7539.68

Therefore, the principal amount started at $7539.68.

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Answer:

Hi, Hope this will help :-)

1

(4×9×8⁻¹×3⁻³)/6⁻¹ =

= (2²×3²×2⁻³×3⁻³)/2⁻¹×3⁻¹

= (2²×2⁻³×3²×3⁻³)/2⁻¹×3⁻¹

= 2⁻¹×3⁻¹/2⁻¹×3⁻¹

= 1

Answer:

2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2=274877906944

Step-by-step explanation:

The height of the cone is 16 feet.

A cone is a three-dimensional geometric shape.

The right cone has a slant height of 20 ft and the diameter of the base is 24 ft.

Therefore, the height of the cone can be found as follows:

Using Pythagoras's theorem,

c² = a² + b²

where

The slant height of the cone is the hypotenuse side of the detached right triangle. The radius and the height of the cone is the other legs of the detached right triangle.

Hence,

diameter = 24 ft

r = radius = 24 / 2  = 12 ft

Hence,

20² - 12² = h²

400 - 144 = h²

h = √256

h = 16 feet.

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Answer:

7

Step-by-step explanation:

x-7=7-x

2x-7=7

2x=14

x=7

Answer:

x = 7

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

Answer: sara is 60

Step-by-step explanation: 64 divided by 4 equals 16. 16 plus 44 equals 60

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is based on observations and generalizing from past experiences.

b. Deductive Reasoning: The statement "If A = B and B = A" is an example of a logical deduction.

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is an example of inductive reasoning. By observing fireflies in the backyard during past summers, a pattern or trend is recognized. This pattern leads to the generalization that fireflies are likely to appear in the backyard during summer. Inductive reasoning involves drawing conclusions based on repeated observations and generalizing from those observations to make a prediction about future events. Therefore, when stating, "This summer, I will probably see fireflies in my backyard," it is an application of inductive reasoning, relying on the assumption that the pattern observed in the past will continue in the future.

b. Deductive Reasoning: The statement "If A = B and B = A" exemplifies deductive reasoning. Deductive reasoning relies on established rules, principles, or premises to draw logical conclusions. In this case, the statement refers to the concept of equality in mathematics. The principle of equality states that if A is equal to B, and B is equal to A, then they are interchangeable and represent the same value. Deductive reasoning allows us to deduce that A and B are equivalent based on the given premise. It involves applying logical reasoning and established principles to arrive at a specific conclusion.

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Answer:

54

Step-by-step explanation:

So If this tells you what 'm' and 'n' are, you just put them inside.

First do the M so then it will be 5 * 10 which is 50 then we just first leave it there.  Then we start putting in that N. We know that N is 4. Then it's N to the power of 2. I recommend since there's already a 4 on the bottom, just do 4 * 4 there. Then you see there is a 4 on the denominator while there are double 4's on the numerator. Then you just cross one 4 on the denominator and one on the numerator to simplify it.

Then all there is is 50 + 4 = 54

So 54 is our answer.

Answer:

Step-by-step explanation:

10m + n^2/4           (m=5 , n=4)

(10*5) + (4^2/4) =

50 + 4 =

54

The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.

The volume of cone (V) = 1/3 * πr²h

Volume of cylinder (V) = πr²h

Where, r is the radius of their bases.

The base area formula for the cone = πr²

Calculate the area of the base of the cone that has a radius (r) of 2.5 in:

Area of the base of the cone = π(2.5)² ≈ 19.6

The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5

≈ 42.5 cubic inches

Volume of cylinder (V) = πr²h = π * 2² * 4

≈ 50.3 cubic inches

The difference in volume = 50.3  - 42.5

= 7.8 ≈ 8 cubic inches

Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.

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Answer:

6 - 16y

................

Therefore, Bryan filled 2 smaller bottles.

Bryan divided 3/4 of a liter of plant fertilizer evenly among some smaller bottles.

He put 3/8 of a liter into each bottle. We need to find how many smaller bottles Bryan filled.

To find the number of smaller bottles filled by Bryan, we need to divide the total amount of fertilizer by the amount in each bottle.

Dividing 3/4 by 3/8 is equivalent to multiplying 3/4 by 8/3:(3/4) × (8/3) = 24/12 = 2

Since 3/4 of a liter was divided evenly among some smaller bottles, and each bottle received 3/8 of a liter, Bryan filled 2 smaller bottles (24/12 = 2).

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The definite value of f(x) when x approaching to 3 is 14

What is limit of function ?

In mathematics, limits are the values that a function (or sequence) approaches when an input (or index) approaches a particular value. Limits are essential for calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

Here, the function given as :

f(x) = x^2+2x-1

and it is to find the value of f(x) when x approaching to 3 that is :

\(\lim_{x \to 3}\) f(x) = \(\lim_{x \to 3}\) x^2+2x-1

Now, substitute x equals to 3 in f(x) to get a definite value of f(x) :

\(\lim_{x \to 3}\) f(x) = 3^2+2 x 3 -1

\(\lim_{x \to 3}\) f(x)  = 9 + 6 -1

\(\lim_{x \to 3}\) f(x) = 14

Therefore, the definite value of f(x) when x approaching to 3 is 14 .

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Answer:

it's a very easy question.

let the unknown point be x,y.

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

The coefficient of\(x^{k} y^{n-k}\) in the expansion of (xy)ⁿ is C(n, k), which is the binomial coefficient for choosing k elements out of n.

To find the coefficient of a specific term in the expansion of a binomial raised to a power, you can use the binomial theorem. In this case, we want to find the coefficient of the term with the term with \(x^{k} y^{n-k}\).

The binomial theorem states that for any real numbers a and b, and a non-negative integer n, the expansion of (a + b)ⁿ can be written as:

(a + b)ⁿ = C(n, 0) ×aⁿ ×b⁰ + C(n, 1) × \(a^{n-1}\)× b¹ + C(n, 2)× \(a^{n-2}\) ×b² + ... + C(n, n-1) ×a¹ × \(b^{n-1}\) + C(n, n) × a⁰ × bⁿ

where C(n, k) represents the binomial coefficient, which is given by:

C(n, k) = n! / (k! × (n - k)!)

In this case, we have (xy)ⁿ, so a = x, b = y, and we're looking for the term with \(x^{k} y^{n-k}\), which corresponds to the term with C(n, k) × \(a^{k}\) × \(b^{n-k}\). Therefore, the coefficient of \(x^{k} y^{n-k}\) in the expansion of (xy)ⁿ is given by C(n, k).

Therefore, the coefficient of\(x^{k} y^{n-k}\) in the expansion of (xy)ⁿ is C(n, k), which is the binomial coefficient for choosing k elements out of n.

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Therefore, the indefinite integral of the given function is x^3 + (4/3)x^4 - (4/9)x^(9/2) + C, where C is the constant of integration.

We can begin by simplifying the integrand as follows:

x^2(3 + 4x - 4x^(3/2)) dx

= 3x^2 dx + 4x^3 dx - 4x^(7/2) dx

= x^3 + (4/3)x^4 - (4/9)x^(9/2) + C

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Answer:

I need the answer tooo

The parallelogram rule says that if we place two vectors so they have the same initial point, and then complete the vectors into a parallelogram, then the sum of the vectors is the directed diagonal that starts at the same point as the vectors.

To determine the angle θ needed to make the resultant of the two forces act horizontally to the right and find the value of the resultant, you can solve the problem using the Parallelogram Law of Vector Addition.

The Parallelogram Law of Vector Addition states that if two vectors are represented by two sides of a parallelogram, then the diagonal of the parallelogram represents the resultant vector. The angle between the two vectors can be found using trigonometric functions.

Given data:

Force 1 magnitude (F1)

Force 2 magnitude (F2)

Force 1 angle (θ1)

Force 2 angle (θ2)

a) Using the Parallelogram Law of Vector Addition:

Step 1: Resolve the forces into their x and y components.

Force 1 components:

Fx1 = F1 * cos(θ1)

Fy1 = F1 * sin(θ1)

Force 2 components:

Fx2 = F2 * cos(θ2)

Fy2 = F2 * sin(θ2)

Step 2: Calculate the resultant components.

Rx = Fx1 + Fx2

Ry = Fy1 + Fy2

Step 3: Calculate the magnitude of the resultant vector.

Resultant magnitude (R) = sqrt(Rx^2 + Ry^2)

Step 4: Calculate the angle θ using inverse trigonometric functions.

θ = atan(Ry/Rx)

By following the steps outlined above and applying the Parallelogram Law of Vector Addition, you can determine the angle θ needed to make the resultant of the two forces act horizontally to the right and calculate the value of the resultant. Ensure to use the appropriate values for force magnitudes and angles.

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It is important to remember that model selection and improvement is an iterative process and may require trying several different approaches before arriving at the best solution.

A high R^2 value of 1 on the training data and a low R^2 value of 0 on the validation data suggests that the model is overfitting. Overfitting occurs when a model is too complex and has learned the training data too well, but has poor generalization performance on new, unseen data (validation data in this case).

To address this issue, you can try the following:

Reduce the amount of features in the model or regularise it to restrict the size of the coefficients.

Increase the size of the training dataset: A bigger training dataset may provide the model a better grasp of the link between the features and the target variable.

Cross-validation: Use cross-validation techniques to better estimate the model's performance on fresh data.

Attempt a different model: A other model may be more appropriate for the problem and data.

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The exact value of sin(π/6) is 1/2.

To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.

At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.

Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.

At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.

In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.

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