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Find the measures of the numbered angles in each kite.

Answer:The unit cost per hour

Step-by-step explanation:

Answer:

the unit cost per item.

Step-by-step explanation:

The price per unit that will yield maximum revenue is $67.04.

In order to find the price per unit that will yield maximum revenue, we have to follow the below-given steps:

Step 1: The revenue function for x units of a product is

R(x) = x * P(x),

where P(x) is the price per unit of the product.

Step 2: The demand function is

D(x) = 170e^(-0.04x)

Step 3: We are given that the 0 ≤ x ≤ 55, it means that we only need to consider this domain. Also, the price per unit of the product is unknown. Let's take it as P(x). Hence, the revenue function will be:

R(x) = P(x) * xR(x) = x * P(x)

Step 4: We need to find the price per unit that will yield maximum revenue. In order to do that, we have to differentiate the revenue function with respect to x and find its critical point. Let's differentiate the revenue function.

R'(x) = P(x) + x * P'(x)

Step 5: Now we will replace P(x) with D(x) / x from the demand function to obtain a function that depends on x only.

This will give us R(x) = x * (D(x) / x).

Simplifying this expression, we get R(x) = D(x).

Let's write it. R(x) = D(x)R'(x) = D'(x)

Step 6: Differentiate D(x) with respect to x, we get:

D'(x) = -6.8e^(-0.04x)

Step 7: To find the critical point of R(x), we will equate R'(x) to zero and solve for x.

R'(x) = 0D(x) + x * D'(x) = 0

Substitute D(x) and D'(x)D(x) + x * D'(x) = 170e^(-0.04x) - 6.8x * e^(-0.04x) = 0

Divide both sides by e^(-0.04x)x = 25

The critical point of R(x) is 25. It means that if the company sells 25 units of the product, then the company will receive maximum revenue.

Step 8: We need to find the price per unit that will yield maximum revenue. Let's substitute x = 25 in the demand function to find the price per unit of the product.

D(25) = 170e^(-0.04*25) = 67.04

Therefore, the price per unit that will yield maximum revenue is $67.04.

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The square root of the number n = 169 is A = 13

Given data ,

The square root of 169 by trial and improvement, we can start by guessing that the square root is 13, since 13 x 13 = 169.

We can then check if this is a good estimate by dividing 169 by 13 and taking the average of the result and 13:

(169/13 + 13)/2 = 14.0769

We can repeat this process by dividing 169 by 14.0769 and taking the average of the result and 14.0769

On simplifying the equation , we get

(169/14.0769 + 14.0769)/2 = 12.0865

On continuing with the level of accuracy , we get

The square root of 169 is between 12 and 13

And , since 12 x 12 = 144 and 13 x 13 = 169

Hence , the number is A = 13

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The order of Candice and her friends in terms of who was more consistent would be :

Candice is judged to be the least consistent of the friends because of her range which is:

= Largest laps - least laps

= 8 - 5

= 3 laps

Malaya and Zoe the same range so this cannot be used to show which of them was more consistent. Instead, we will use the mode. The person that has the mode which appears more times is more consistent.

Zoe has a mode of 8 laps which appears 3 times as opposed to the mode of 3 laps for Malaya which only appears twice. Zoe is therefore most consistent.

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Answer:

The answer is 7.

Step-by-step explanation:

Cant you math bro?

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Answer:

10x^2+8x+3

Step-by-step explanation:

Answer:

10x^2 + 8x + 3

Step-by-step explanation:

Hope this helps.

The value of sin 315° = -√2/2, cos 9π/4 = √2/2 , tan (-135) = 1°

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent .

We can use the following trigonometric identities to find the values ​​of sin, cos, and sun:

sin(x) = sin(x 360°)

cos(x) = cos(x 360°)

tan(x) = tan(x 180°)

Using these identities, we can convert  angles to equivalent angles in the first quadrant, where the values ​​of sin, cos, and sun are known.

sin (315°)

We can convert 315° to the corresponding angle in the first quadrant by subtracting 360°:

315° - 360° = -45°

Since sin(x) = sin(x 360°), we have:

sin(315°) = sin(-45°)

We know that sin(-θ) = -sin(θ), so:

sin(-45°) = -sin(45°)

We also know that sin (45°) = √2/2, so:

sin(315°) = -√2/2

Therefore, the power of 315  is equal to -√2/2.

cos(9π/4)

We can convert 9π/4 to the corresponding angle in the first quadrant by subtracting 2π:

9π/4 – 2π = π/4

Since cos(x) = cos(x 360°), we have:

cos(9π/4) = cos(π/4)

We know that cos(π/4) = √2/2, so:

cos(9π/4) = √2/2

Therefore, cos 9π/4 is equal to √2/2.

tan(-135°)

We can convert -135° to the corresponding angle in the second quadrant by adding 180°:

-135°- 180° = 45°

Since tan(x) = tan(x 180°), we have:

We know that tan(45°) = 1, so:

reddish brown (-135°) = 1

Therefore tan (-135°) equals 1.

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Answer:

x=1 y=10

Step-by-step explanation:

5x+y=15

2x+y=12

y=12-2x

5x+12-2x=15

3x=3

x=1  

5+y=15

y=10

A general formula that gives all the times when the voltage will be 0 is t = ±√((pπ)/10)

To find the general formula for the times when the voltage will be 0, we need to analyze the given equation: V(t) = 12sin(5t²). Since V(t) represents the voltage at time t, we want to find the values of t for which V(t) = 0. This will occur when the sine function equals 0.

The sine function, sin(x), is equal to 0 when its argument x is a multiple of π. Mathematically, this can be expressed as:

sin(x) = 0 ⟺ x = nπ, where n is an integer (0, ±1, ±2, ...)

In our case, the argument of the sine function is 5t². Thus, we want to find values of t for which:

5t² = nπ, where n is an integer.

Now, let's solve this equation for t:

t² = (nπ)/5

t = ±√((nπ)/5)

Since the question asks for a formula in terms of p, let's define p as an integer such that p = 2n (n can be any integer). Thus, the formula becomes:

t = ±√((pπ)/10)

This formula represents the general sequence of times t (in milliseconds) when the voltage V(t) will be equal to 0. Here, p is an even integer (0, ±2, ±4, ...) representing different instances when the voltage is zero.

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Stacy has 16 flowers in total

She has 4 vases

This implies that each of the vase will contain 4 flowers each

To determine the number of flowers in each verse

Number of flowers = Total number of flowers / Total number of vases

Total flower = 16

Total number of vases = 4

Number of flowers = 16 / 4

Since 4 is a multiple of 16

Therefore, 16 / 4 = 4

The answer is 4 flowers

Stacy will put 4 flowers each in each vase

\(\huge\color{purple}\boxed{\colorbox{black}{Answer ☘}}\)

in ∆ABE

\( \tan(theta) = \frac{p}{b} \\ \tan(60) = \frac{h}{x} \\ \sqrt{3} = \frac{h}{x} \\ h = \sqrt{3}x\)

Now, in ∆CDE

\( \tan(theta) = \frac{p}{b} \\ \tan(30) = \frac{h}{80 - x} \\ \frac{1}{ \sqrt{3} } = \frac{ \sqrt{3}x }{80 - x} (from \: (1)) \\ = > 3x = 80 - x \\ 4x = 80 \\ x = 20\)

distance of pole CD from E = 80 - x = 60m

distance of pole AB from E = x = 20m

\(h = \sqrt{3} x = 20 \sqrt{3}m\)

Step-by-step explanation:

well, we have several right-angled triangles here.

the main one from the point in the street to the 2 tops of the poles.

and the 2 side ones of the poles to the point on the street.

we know the angle above the point in the street is 90 degrees, because the other 2 angles of the main triangle are 30 and 60 degrees. and the sum of all angles in a triangle must always be 180 degrees.

as the angles up are 30 and 60 degrees, so are their mirrored twins at the tops of the poles as part of the main triangle.

the Hypotenuse of the main triangle is the connection between the tops of the poles, and is also 80m long.

so, now that we have established the "picture", we can use the law of sine to get all the other side lengths.

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite of the correlated angles.

so, we know,

80/sin(90) = 80 = a/sin(30) = 2a = b/sin(60)

a = 80/2 = 40m (the connection from the point in the street to the top of the pole under 60°)

b = 80×sin(60) = 69.2820323... m (the connection from the point in the street to the top of the second pole under 30°).

now we use the same principle on the side lengths of the 2 side triangles. their Hypotenuses are the 2 sides we just calculated.

let's start with the one with the round number as Hypotenuse : 40m

40/sin(90) = street distance / sin(30) = 2× street distance

street distance = 40/2 = 20m

that means the street distance of the point in the street to the other pole is 80-20 = 60m

for the pole height(s) we now just use regular Pythagoras

c² = a² + b²

with c being the Hypotenuse.

40² = 20² + pole height²

1600 = 400 + pole height²

1200 = pole height²

pole height = 34.64101615... m

The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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The type of p-value indicates statistically significant results is a small p-value. (option b).

The p-value represents the probability of observing the data or results of an experiment, assuming that the null hypothesis is true.

A small p-value, typically less than 0.05 (or 5%), indicates that the probability of obtaining the observed results by chance alone, assuming the null hypothesis is true, is low. Therefore, it suggests that the results are statistically significant, and the null hypothesis can be rejected.

On the other hand, a large p-value, typically greater than 0.05 (or 5%), indicates that the probability of obtaining the observed results by chance alone, assuming the null hypothesis is true, is high. Therefore, it suggests that the results are not statistically significant, and the null hypothesis cannot be rejected.

In summary, a small p-value indicates that the results of the experiment are statistically significant, while a large p-value suggests that they are not.

Hence the correct option is (b).

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The graph relating the variables a and b would be a downward-sloping line or a negative correlation. When it is stated that "if a decreases, then b will also decrease," it indicates a negative relationship or correlation between the variables a and b.

In this case, as the value of a decreases, the value of b also decreases. This relationship can be visually represented by a downward-sloping line on a graph.

As you move from left to right along the x-axis (representing a), the corresponding values on the y-axis (representing b) decrease. This negative correlation suggests that there is an inverse relationship between the two variables, where changes in a are associated with corresponding changes in the opposite direction in b.

The extent and strength of the negative correlation can vary, ranging from a perfect negative correlation (a straight downward-sloping line) to a weaker negative correlation where the relationship is less pronounced.

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The maximum weekly production of acetate fibers is approximately Z ≈ 1,371,172 pounds, which occurs when there are approximately 9.4 skilled workers and 130.5 unskilled workers at the plant.

To determine the maximum weekly production of acetate fibers and the number of skilled and unskilled workers needed to achieve it, we need to find the critical points of the function Z=F(X,Y).

First, we calculate the partial derivatives of F with respect to X and Y:

∂F/∂X = 9000 + 22xy - 42x^2

∂F/∂Y = 4500 + 11x^2

Next, we set these partial derivatives equal to zero to find the critical points:

∂F/∂X = 0 ⇒ 9000 + 22xy - 42x^2 = 0

∂F/∂Y = 0 ⇒ 4500 + 11x^2 = 0

Solving the second equation for x^2, we get x^2 = -4500/11, which is not a real number. Therefore, there is no critical point with respect to Y.

For the first equation, we can solve for y in terms of x:

y = (42x^2 - 9000)/(22x)

We can substitute this expression for y into the original equation for Z and simplify to get a function of x only:

Z = 9000x + 4500((42x^2 - 9000)/(22x)) + 11x^2((42x^2 - 9000)/(22x)) - 14x^3

= 191,250/x - 14x^3

Taking the derivative of this function with respect to x and setting it equal to zero, we get:

dZ/dx = -42x^2 + 191,250/x^2 = 0

⇒ x^4 = 4545.45

⇒ x ≈ 9.4

Substituting this value of x back into the expression for y, we get:

y = (42(9.4)^2 - 9000)/(22(9.4)) ≈ 130.5

Therefore, the maximum weekly production of acetate fibers is approximately Z ≈ 1,371,172 pounds, which occurs when there are approximately 9.4 skilled workers and 130.5 unskilled workers at the plant.

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Answer:

130°

Step-by-step explanation:

1. 59 + 71 (We do this because we want to find out their total to help us find out what the angle next to x is)

2. This should have given you 130°. Then, we will subtract 130 from 180 (180-130) (We do this because angles in a triangle add up to 180, so we want to find out what the single angle is).

3. This should have given you 50°. Since we know that angles on a straight line add up to 180°, we subtract 50 from 180 (180-50), and will eventually end up with 130°, so x=130°.

Let's look at the image and think about it for a second. We are given an exterior angle, and two opposite interior angles.

The sum of all angles in a triangle are equal to 180˚. If we look at angle ∠x , we notice something: it is a supplementary angle! ∠x + its supplementary angle is equivalent to 180. Conveniently enough, this supplementary angle is also an interior angle of the triangle.

You might be thinking, "Okay, so ∠x is a supplementary angle. Cool, so what?" Allow me to explain. Let's represent the unknown interior angle inside the triangle as 'n' (this isn't necessary to solve for x, but I'm just trying to prove how the solution works so you'll understand how to do these)

∠x + ∠n = 180˚ (These angles are supplementary)

∠n + 59˚ + 71˚ = 180˚ (The sum of interior angles of a triangle is 180˚)

If we isolate ∠n in both equations, then:

∠n = 180˚ - ∠x

∠n = 180˚ - 59˚ - 71˚

Since the right sides of both equations are equal, we can turn it into a single equation:

∠n = ∠n

180˚ - ∠x = 180˚ - 59˚ - 71˚

Isolate ∠x:

∠x = 59˚ + 71˚

So, what does this mean? This proof, essentially, establishes the fact that an exterior angle is equivalent to the sum of the two opposite interior angles. As you can see with the proof we made, ∠x is equal to the two opposite angles in the triangle, 59˚ and 71˚.

Now, let's get ourselves a definitive answer:

∠x = (59˚ + 71˚)

∠x = 130˚

If you have any further questions on how I got to the answer, just ask in the comments! Good luck!

- breezyツ

Answer:

128 - n, 32 - n, 8 - n.

Step-by-step explanation:

The n than term of the sequence 128, -32, 8 is 128 - n, 32 - n, 8 - n.

Answer:  not sure. but as long as he saves his money wisely and doesn't spend frivilously

Step-by-step explanation:

Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

Answer:

Slope is 4.

y=4x + 1

Take coordinates (0,1) & (1,5)

Rise/Run

5-1/1-0 = 4

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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The probability of winning the game before the fourth turn is \(\frac{19}{54}\).

What is probability?

Probability is a measure or quantification of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur. The probability of an event can be determined by dividing the number of favorable outcomes by the total number of possible outcomes.

To find the probability of winning the game before the fourth turn, we need to calculate the probability of winning on the first, second, or third turn and then add them together.

On each turn, rolling a standard die has 6 equally likely outcomes (numbers 1 to 6), and tossing a fair coin has 2 equally likely outcomes (heads or tails).

1.Probability of winning on the first turn: To win on the first turn, we need the die to show a 1 or a 6, and the coin to show heads. Probability of rolling a 1 or 6 on the die:  \(\frac{2}{6} =\frac{1}{3}\)

Probability of tossing heads on the coin: \(\frac{1}{2}\)

Therefore, probability of winning on the first turn: \(\frac{1}{3} *\frac{1}{2}\) = \(\frac{1}{6}\)

2.Probability of winning on the second turn: To win on the second turn, we either win on the first turn or fail on the first turn and win on the second turn. Probability of winning on the second turn, given that we didn't win on the first turn:

\(\frac{2}{3} *\frac{1}{3} *\frac{1}{2} \\=\frac{1}{9}\)

3.Probability of winning on the third turn:

To win on the third turn, we either win on the first or second turn or fail on both the first and second turns and win on the third turn. Probability of winning on the third turn, given that we didn't win on the first or second turn:

\(\frac{2}{3} *\frac{2}{3} *\frac{1}{3} \\=\frac{2}{27}\)

Now, we can add the probabilities together:

Probability of winning before the fourth turn =

\(\frac{1}{6}+\frac{1}{9}+\frac{2}{27}\\\\=\frac{9}{54}+\frac{6}{54}+\frac{4}{54}\\\\=\frac{19}{54}\\\)

Therefore, the probability of winning the game before the fourth turn is  \(\frac{19}{54}\).

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Answer:

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

v flight getting in intend kitchen dandruff gtg bunny

The long-run cost function is C(q) = 2w(sqrt[rw(q^3)]). The profit-maximizing output can be found by minimizing this cost function with respect to q.

Part a: Deriving the long-run cost function C(q):

To derive the long-run cost function, we need to find the minimum cost of producing a given output level q using the given production function.

Given the production function q = F(L, K) = (KL)^(1/3), we can rewrite it as K = (q^3)/L.

Now, let's express the cost function C(q) in terms of q. We have the cost function as C(q) = wL + rK, where w is the wage rate and r is the rental rate.

Substituting the expression for K in terms of q, we get C(q) = wL + r[(q^3)/L].

To minimize the cost function, we can take the derivative of C(q) with respect to L and set it equal to zero:

dC(q)/dL = w - r[(q^3)/(L^2)] = 0.

Simplifying the equation, we have w = r[(q^3)/(L^2)].

Solving for L, we get L^2 = r(q^3)/w.

Taking the square root, we have L = sqrt[(r(q^3))/w].

Substituting this value of L back into the cost function equation, we get:

C(q) = w(sqrt[(r(q^3))/w]) + r[(q^3)/sqrt[(r(q^3))/w]].

Simplifying further, we have:

C(q) = 2w(sqrt[rw(q^3)]).

So, the long-run cost function C(q) is given by C(q) = 2w(sqrt[rw(q^3)]).

Part b: Solving the long-run profit maximization problem directly:

To solve the profit maximization problem directly, we need to maximize the expression:

max K, L [F(L, K) - wL - rK].

Taking the derivative of the expression with respect to L and K, and setting them equal to zero, we can solve for the optimal values of L and K.

The first-order conditions are:

dF(L, K)/dL - w = 0, and

dF(L, K)/dK - r = 0.

Differentiating the production function F(L, K) = (KL)^(1/3) with respect to L and K, we get:

(1/3)(KL)^(-2/3)K - w = 0, and

(1/3)(KL)^(-2/3)L - r = 0.

Simplifying the equations, we have:

K^(-2/3)L^(1/3) - (3/2)w = 0, and

K^(1/3)L^(-2/3) - (3/2)r = 0.

Solving these two equations simultaneously will give us the optimal values of L and K.

Part c: Using the derived long-run cost function:

In Part a, we derived the long-run cost function as C(q) = 2w(sqrt[rw(q^3)]).

To find the profit-maximizing output, we can minimize the long-run cost function C(q) with respect to q.

Taking the derivative of C(q) with respect to q and setting it equal to zero, we can solve for the optimal value of q.

dC(q)/dq = w(sqrt[rw(q^3)]) + (3/2)w(q^2)/(sqrt[rw(q^3)]) = 0.

Simplifying the equation, we have:

(sqrt[rw(q^3)])^2 + (3/2)(q^2) =

0.

Solving this equation will give us the profit-maximizing output q.

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Answer:

81m+27t

Step-by-step explanation:

We need to distribute the 9 to the terms inside the parentheses:

9(9m+3t)=9(9m)+9(3t)=81m+27t

Answer:

81m + 27t

Step-by-step explanation:

Explanation is attached below.

A line is drawn from the point, through the two intersection points. This line is the tangent to the circle.

The following screenshot shows the construction of a tangent to a circle through a point on the circle using a compass and straightedge.

The construction begins by drawing a radius of the circle through the point. This radius is then extended until it intersects the circle at two points. The intersection points are then marked with small circles.  

Next, a line is drawn from the point, through the two intersection points. This line is the tangent to the circle.

The formula for the tangent is:

tan θ = opposite side/adjacent side

where θ is the angle formed by the tangent and the radius.

1. Draw a radius of the circle through the point.

2. Extend the radius until it intersects the circle at two points.

3. Mark the intersection points with small circles.

4. Draw a line from the point, through the two intersection points.

5. Determine the angle between the tangent and the radius.

6. Use the formula to calculate the tangent:

  tan θ = opposite side/adjacent side.

7. The tangent has been constructed.

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https://brainly.com/question/19064965

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Answer:

You can crop out the questions and use the pic :)

Answer:

5

Step-by-step explanation:

Half of ten is five  so Kate’s has five purple stickers