Which of the following best describes thebelow?graph of the polynomial function

The measure of each inscribed angle at T and S is 72.5 degrees, and the sum of their measures is: 145 degrees

What is inscribed angle ?

An inscribed angle is an angle formed by two chords of a circle that have a common endpoint on the circle. The vertex of the inscribed angle is on the circle, and the sides of the angle intersect the circle at two distinct points.

There are some important properties of inscribed angles:

According to the question:
If the inscribed angles of T and S intercept the same arc, then they must be equal in measure. Let's call the measure of each angle x.

Since the sum of the measures of the angles in a triangle is 180 degrees, we can set up an equation to find the measure of the third angle in triangle TSY:

x + x + measure of angle YTS = 180 degrees

Simplifying the equation, we get:

2x + measure of angle YTS = 180 degrees

But we know that the measure of angle YTS is equal to half the measure of arc YZ, since it is an inscribed angle intercepting the same arc. So:

measure of angle YTS = 1/2 * measure of arc YZ = 1/2 * 70 degrees = 35 degrees

Substituting this value into our equation, we get:

2x + 35 degrees = 180 degrees

Solving for x, we get:

2x = 145 degrees

x = 72.5 degrees

Therefore, the measure of each inscribed angle at T and S is 72.5 degrees, and the sum of their measures is:

72.5 degrees + 72.5 degrees = 145 degrees

To know more about inscribed angle visit:
https://brainly.com/question/15899344
#SPJ1

Answer:

4b=y-10

Step-by-step explanation:

Answer:

The height of the squirrel is 31 feet.

Step-by-step explanation:

You need to know your Right Triangle Trigonometry to do this problem.

Rt Triangle trig is all about ratios. Angles and ratios.

In your question, there is a rt triangle. The side measure given, 28 is next to the angle. The math word for "next to" is "adjacent" You know the adjacent side. The squirrel's height is the opposite side. The ratio that puts together adjacent and opposite is tangent.

tan Angle = opposite/adjacent

tan 48° = x/28

multiply both sides by 28

28•tan48° = x



You have to use a calculator that has trig functions. It will have buttons that say "sin", "cos", and "tan"



Enter 28 × tan48° =

It will return 31.0971504152

Your question asks you to round to the nearest whole.

x = 31

The squirrel's height in the tree is 31ft.

Answer:

There are 9/10 groups of 2/3 in 3/5.

Step-by-step explanation:

Divide 3/5 by 2/3

Answer:

irrational number

Step-by-step explanation:

Irrational numbers are not repeating or terminating.

These type of numbers are called irrational numbers.

So it is an irrational number

The angles on the Unit Circle that make the equation -√3 csc(2θ) = 2 true are θ = π/6 + 2πn and θ = 5π/6 + 2πn, where n is an integer.

From the information, the following can be deduced:

-√3 csc(2θ) = 2

csc(2θ) = -2/√3

sin(2θ) = -√3/2

We know that sin(2θ) = 2sin(θ)cos(θ) by the double-angle identity for sine,

2sin(θ)cos(θ) = -√3/2

2sin(θ)cos(θ) = -√3/2

sin(θ)cos(θ) = -√3/4

sin(θ)cos(θ) = sin(π/3)sin(θ)

cos(θ) = sin(π/3)

θ = π/6 + 2πn, 5π/6 + 2πn

Therefore, the angles on the Unit Circle that make the equation -√3 csc(2θ) = 2 true are θ = π/6 + 2πn and θ = 5π/6 + 2πn, where n is an integer

Learn more about angle on

https://brainly.com/question/25716982

#SPJ1

Answer:

Person D

Step-by-step explanation: Because when you subtract the deductions from what the people earned. Person D has the least amount of money.

The values for the trigonometric functions for given coordinates are,

sin θ = 0.406, cos θ = 0.914,

tan θ = 0.444, cosec θ = 2.46,

sec θ = 1.04,  cot θ = 2.25

The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Trigonometric formulas are used to determine the sine, cosine, tangent, secant, and cotangent values for the perpendicular side, hypotenuse, and base of a right triangle.

Given the standard position on the coordinate plane with the point (9,4)

x = 9 and y = 4

Start by sketching the related triangle and the terminal side in the standard position.

Calculate the hypotenuse's missing side using the Pythagorean Theorem.

so h² = 4² + 9²

h² = 16 + 81

h² =97

h = √97

so sinθ = y/h = 4/√97 = 0.406

cosθ = x/h = 9/√97 = 0.914

tanθ = y/x = 4/9 = 0.444

cosecθ = h/y = √97/4 = 2.46

secθ= h/x = √97/9 = 1.04

cotθ = x/y = 9/4 = 2.25

Hence values for functions are,

sin θ = 0.406, cos θ = 0.914,

tan θ = 0.444, cosec θ = 2.46,

sec θ = 1.04,  cot θ = 2.25

Learn more about  trigonometric functions;

https://brainly.com/question/6904750

#SPJ1

9514 1404 393

Answer:

  3.08 hours

Step-by-step explanation:

We assume you're interested in the time in hours.

  \(175\text{ mi}\times\dfrac{12\text{ s}}{1000\text{ ft}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{175\times12\times5280}{1000\times3600}\text{ h}=\boxed{3.08\text{ h}}\)

It will take 3.08 hours to travel 175 miles at that speed.

the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m

We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.

Learn more about elevation difference here

https://brainly.com/question/6689872

#SPJ4

what's up? i think the distance from D to F would be 32.2

we are given DU which is 16.1, and that is half of DF so we just need to perform 16.1(2)= 32.2

best of luck with your studies :)

Answer:

9 + 10 = 21 higkjiitbughu

Answer:

LMK  Let me know. KM  Kilometer's

Step-by-step explanation:

Answer:

We would need 30 grams of white flour.

Step-by-step explanation:

To find this, we would need to set up a proportion. However, before that, we need to figure out how much white flour the original recipe was calling for. To find that, we would do 600 subtracted by 480, which is 120. This is how we would set up the proportion :

120/480 = x/120

480x = 120(120)

480x = 14400

x = 30

So, we would need 30 grams of white flour! :)

Answer:

The triangle has sides of 36 feet, 72 feet, and 49 feet.

=====================================================

x = shortest side

2x = second side

x+13 = third side

The three sides add up to the perimeter of 157

(x)+(2x)+(x+13) = 157

4x+13 = 157

4x = 157-13

4x = 144

x = 144/4

x = 36

The shortest side is 36 feet.

The second side is 2x = 2*36 = 72 feet.

The third side is x+13 = 36+13 = 49 feet.

Check:

side1+side2+side3 = 36+72+49 = 157

The answers are confirmed.

The slope of the line passing through the given points is equal to -5/7.

A slope is also known as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Substituting the given points into the formula, we have;

Slope = (-1 - 4)/(4 - (-3))

Slope = -5/(4 + 3)

Slope = -5/7

Read more on slope here: brainly.com/question/3493733

#SPJ1

The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

Learn more about Rank of matrix at:

https://brainly.com/question/29857274

#SPJ1

We have that   the percent of increase in the temperature   is mathematically given as
P=81.376%

Question Parameters:

During an experiment, the temperature of a solution changes from 945°F to 1714°F.

Generally the equation for the Rise in temperature is  is mathematically given as

945=1714*x

x=0.55

Therefore

55% of 1714 gives 945

Hence, The parentage increase is

P=(1714-945)/945*100

P=81.376%

For more information on Temperature

https://brainly.com/question/13439286

Answer:

the answer is 76.02

Step-by-step explanation: K12 orva 7th grade 2.04 Quiz: Percent Increase or Decrease

75% because the ratio is 1:4 so the probability of the next being minestrone is high.



(This is literally a question already word for word answered LOL https://brainly.com/question/27656581)

The trebuchet projectile will reach 80 feet at 1.094 s later.

The height of the projectile at any given time "t" can be described by the function h(t) = -16t² + vt + h0, where h0 is the initial height and v is the initial velocity. In this case, h0 = 0 (the launch point) and v = 35 ft/s. So, the height function is h(t) = -16t² + 35t.

To find when the projectile first reaches 80 feet, solve the equation h(t) = 80. Plugging in the height function:

-16t² + 35t = 80

Solving for t:

-16t² + 35t - 80 = 0

This is a quadratic equation and can be solved using the quadratic formula or factoring. The two solutions are:

t = 4.069 s or t = -8.848 s

The negative solution is extraneous, as the time can't be negative. So, the first time the projectile reaches 80 ft is 4.069 s after launch.

To find when the projectile reaches 80 ft again, simply fill in the height and the velocity into the height function and solve for t. However, since the height function is a parabolic function, the projectile will reach the same height again at the maximum height, which is half of the time it takes for the projectile to reach its highest point.

Since the maximum height is reached at t = v/g = 35/(-16) = 2.188 s, the projectile will reach 80 ft again 2.188 s/2 = 1.094 s later.

Learn more on projectile speed here: https://brainly.com/question/12870645

#SPJ1

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

More can be learned about extremas of a function at https://brainly.com/question/9839310

#SPJ1

Answer:

A. \( \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x\) (first option)

Step-by-step explanation:

➡️ \( \cos(x + 2x) \)

➡️ \( \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x\)

➡️ \( \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) \)

➡️ \( \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) \)

➡️ \( \cos(x) - 4 \cos(x) \sin^{2} x\)

Answer:

Exponential decay is represented by the equation:

y = a * e^(-bx)

where:

y is the final value

a is the initial value

b is the decay rate

x is the time variable

The exponential decay rate, b, can be found by taking the natural logarithm (ln) of both sides of the equation, then rearranging to isolate the decay rate:

ln(y/a) = -bx

b = -ln(y/a)/x

So, to find the exponential decay rate, you would need to know the initial value (a), the final value (y), and the time elapsed (x). Then, you can use the formula above to calculate the decay rate, b.

The expressions "1+b" and "1-b" are not sufficient to find the exponential decay rate, as they do not contain enough information about the specific scenario or data set.

if this helps, can you please mark my answer brainliest?

The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.

With these details, you can calculate the fraction accurately.

Point A on the number line represents a fraction that requires additional information to determine its precise value.

I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.

A number line represents a range of values, typically with a specific scale or interval.

The scale can be divided into equal parts, such as units or fractions.

To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.

Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.

If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).

If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.

Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.

For similar questions on fraction

https://brainly.com/question/78672

#SPJ8

The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the incandescent light bulbs and y represent the fluorescent light bulbs. Therefore:

x + y > 100   (1)

Also:

2x + 5y ≥ 350    (2)

The solution to the amount of light bulbs Julia needs to sell to meet her quota is represented by the shaded area in graph X.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

To calculate the ratio as a decimal, we divide the number of owners by the total population for each city.

For Indianapolis: Ratio = 6,245 / 0.9 million = 0.006938

For New York: Ratio = 911,216 / 18.6 million = 0.049019

For Cairo: Ratio = 10,598 / 19.1 million = 0.000554

For Beijing: Ratio = 959,611 / 21.2 million = 0.045270

For Tokyo: Ratio = 1,700,510 / 26.5 million = 0.064234

To calculate the owners per 100, we multiply the ratio by 100.

For Indianapolis: Owners per 100 = 0.006938 * 100 = 0.7 (rounded to one decimal place)

For New York: Owners per 100 = 0.049019 * 100 = 4.9 (rounded to one decimal place)

For Cairo: Owners per 100 = 0.000554 * 100 = 0.1 (rounded to one decimal place)

For Beijing: Owners per 100 = 0.045270 * 100 = 4.5 (rounded to one decimal place)

For Tokyo: Owners per 100 = 0.064234 * 100 = 6.4 (rounded to one decimal place)

Therefore, the ratio as a decimal and the owners per 100 for each city are as follows:

Indianapolis: Ratio = 0.006938, Owners per 100 = 0.7

New York: Ratio = 0.049019, Owners per 100 = 4.9

Cairo: Ratio = 0.000554, Owners per 100 = 0.1

Beijing: Ratio = 0.045270, Owners per 100 = 4.5

Tokyo: Ratio = 0.064234, Owners per 100 = 6.4

For such more question on Ratio

https://brainly.com/question/12024093

#SPJ8

Answer:

Step-by-step explanation:

(a) To find the linear cost function C(x), we need to consider the fixed cost and the marginal cost. The fixed cost is $100, and the marginal cost is $8 per pair of earrings.

The linear cost function can be represented as C(x) = mx + b, where m is the slope (marginal cost) and b is the y-intercept (fixed cost).

In this case, the slope (m) is $8, and the y-intercept (b) is $100. Therefore, the linear cost function is:

C(x) = 8x + 100.

(b) The average cost function (AC) can be found by dividing the total cost (C(x)) by the number of units produced (x):

AC(x) = C(x) / x.

Substituting the linear cost function C(x) = 8x + 100, we have:

AC(x) = (8x + 100) / x.

(c) To find C(5), we substitute x = 5 into the linear cost function:

C(5) = 8(5) + 100

= 40 + 100

= 140.

Interpretation: C(5) = 140 means that when the artist produces 5 pairs of earrings, the total cost (including fixed and variable costs) is $140.

(d) To find C(50), we substitute x = 50 into the linear cost function:

C(50) = 8(50) + 100

= 400 + 100

= 500.

Interpretation: C(50) = 500 means that when the artist produces 50 pairs of earrings, the total cost (including fixed and variable costs) is $500.

(e) The horizontal asymptote of C(x) represents the cost as the number of units produced becomes very large. In this case, the marginal cost is constant at $8 per pair of earrings, indicating that as the number of units produced increases, the cost per unit remains the same.

Therefore, the horizontal asymptote of C(x) is $8, indicating that the average cost per pair of earrings approaches $8 as the number of units produced increases indefinitely.

In practical terms, this means that for every additional pair of earrings produced beyond a certain point, the average cost will stabilize and remain around $8, regardless of the total number of earrings produced.