Mathematics College

What is the measure of arc RT

Answers

Answer 1

The measure of arc RT is 156 degree.

Measure of arc RT

Given:

arc TRM=102°

Hence:

arc RST=2×1O2°

arc RST=204°

Measure of arc RT

arc RT= 2(180° - 102°)

arc RT = 2(78°)

arc RT = 156 degrees

Therefore the correct option is B.

Learn more about Measure of arc RT here:https://brainly.com/question/17055073

#SPJ1

Related Questions

find the value of x

a) 2:5=8:x

Answers

Step-by-step explanation:

solution:

given,

or, 2:5 = 8:x

or, 2/5 = 8/x [ changing into fraction form ]

or, 2x = 40 [ doing cross-multiplication ]

or, x = 20 [ dividing both sides with 2]

A random sample of vehicle mileage expectancies has a sample mean of x¯=169,200 miles and sample standard deviation of s=19,400 miles. Use the Empirical Rule to estimate the percentage of vehicle mileage expectancies that are more than 188,600 miles. Round your answer to the nearest whole number (percent).

Answers

The percentage of vehicle mileage expectancies that are more than 188,600 miles is 93%

How to determine the percentage?

The given parameters are:

Mean = 169200

Standard deviation = 19400

x = 188600

Calculate the z value using:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

So, we have:

[tex]z = \frac{188600 - 169200}{19400}[/tex]

Evaluate

z = 1

Using the Empirical Rule, we have:

P(x > 188600) = P(z > 1.5)

From z table of probability, we have:

P(x > 188600) = 0.93319

Express as percentage

P(x > 188600) = 93.319%

Approximate

P(x > 188600) = 93%

Hence, the percentage of vehicle mileage expectancies that are more than 188,600 miles is 93%

Answers

The nonreal solutions to the polynomial equation are: (2 + i√11, 2 - i√11).

How to determine the nonreal solutions?

By critically observing the graph given, we can logically deduce that the real solutions of the polynomial are -1 and 4. This ultimately implies that, the given polynomial expression can be evaluated as follows:

(x + 1)(x - 4) = x² - 3x - 4.

x⁴ - 7x³ + 23x² - 29x - 60 = x² - 3x - 4.

Also, the nonreal solutions can be determined by dividing the polynomial expression by the real solutions as follows:

Nonreal solutions = (x⁴ - 7x³ + 23x² - 29x - 60)/(x² - 3x - 4)

Nonreal solutions = (2 + i√11, 2 - i√11).

Read more on polynomials here: brainly.com/question/19571593

#SPJ1

Thomas took 3h to paint a room. Brian could paint the same room in 6h. How long would it take for both of them to finish painting the same room together?

please help !! no algebra please

Answers

Answer:

2 hours

Step-by-step explanation:

If Thomas can paint 1/3 = 2/6 of the room in a hour and Brian can paint 1/6 of the room in an hour. Which means in an hour they can collectively paint 3/6 = 1/2 of the room. Now you need to find how long it would take then to paint 2/2 of the room. Knowing that 1/2+1/2 = 2/2, it would take them 2 hours to paint the room together

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. A total of 10 cars were rented which can hold 66 people altogether. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.

Answers

The system of equations that could be used to determine the number of small cars rented and the number of large cars rented is;

x + y = 10

x + y = 105x + 7y = 66

Simultaneous equation

Small car = 5 peopleLarge car = 7 peopleTotal cars = 10Total number of people = 66

Let

Number of small cars rented = x

Number of large cars rented = y

x + y = 10

x + y = 105x + 7y = 66

Learn more about simultaneous equation:

https://brainly.com/question/16863577

#SPJ1

2) (x+3)
2) Correct the error:
There is an error in the students' work shown below:
Question: Simplify (x-3)(x-7)
Solution: (x-3)(x-7)
x-x-3(x)-7(x) - 21
x²-10x-21
What is the error? Explain how to solve the problem.

Answers

The expression x²-10x-21 is wrong since the product of two negative signs is equal to positive.

Simplifying factors

Quadratic equations are equations that has a leading degree of 2. The standard quadratic equation is given as;

f(x) = ax^2+bx+c

Given the product of the expression below;

f(x) = (x-3)(x-7)

Expand

f(x) = x(x) - 7x - 3x -3(-7)

f(x) = x^2 - 7x - 3x + 21

f(x) = x^2 - 10x + 21

Hence the expression x²-10x-21 is wrong since the product of two negative signs is equal to positive.

Learn more on factoring here: https://brainly.com/question/25829061

#SPJ1

Which of the following is a true proportion of the figure based on the triangle
proportionality theorem?

Answers

Based on the triangle proportionality theorem, the true proportion is h/j=k/i

How to solve for the true proportion

In the diagram that we have here, we have TU to be parallel to QR.

We have following

ST is equal to h, TQ is equal to j, SU is equal to k and UR is equal to i.

This can then be used to form the equation

ST/TQ = SU/UR

When we h/j = k/i

Answers

Answer:

$13.50

Step-by-step explanation:

If I am taking off 40%, that means that the dress now cost 60% of the original cost. .6 x 20 is 12.

You could also calculate the 20% off and subtract that from the original cost. .4 x 20 =8. Now 20 - 8 is also 12.

Now, we have to calculate the tax. 10% of 12 is .1 x 12 or $1.20. We add the tax to the 12 to get 13.50.

Linda is training to be an assistant at the local animal shelter. To become an assistant she needs to complete 48 h of training. Linda keeps a graph of the number of hours of training left to be completed. What is the rate of change of the number of hours remaining with respect to the number of days? Remember to include units.

Answers

The equation between the number of days remaining and number of hours is given as y= -5x+50.

How to illustrate the equation?

Let y be the number of days remaining and x be the no.of hours.

From the graph the slope of the line is given by m.

m=(y2 - y1)/(x2 - x1)

m=(30 - 40)/(4 - 2)

m= -10/2 = -5.

The above slope is in between points 2 and 4. As the line has a constant rate of growth the slope is the same between any points of the line.

Therefore the equation between the no.of days remaining and no.of hours is given by

y=mx +c.

y=-5x+c

Now to find the value of c. This can be determined by substituting the x and y values at a particular instant. For x=0,y=50. Therefore by these values, we get,

50= -5(0)+c

c=50.

Therefore the relation between the number of days remaining and number of hours is given as y= -5x+50.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1

−6 + 3 = −21 pls can uhelp me with this

Answers

Answer:

No Solution

Step-by-step explanation:

1) Simplify -6 - 3 to -3.

-3 = -21

2) Since -3 = -21 is false, there is no solution.

No solution

Use the drawing tool(s) to form the correct answer on the provided graph.

Graph the solution to this system of inequalities in the coordinate plane.

3y 2x+122x + y ≤5

Answers

The plotting of the inequalities was done using geogebra online graphing calculator. The graph is attached.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. It should be noted that in inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. Inequality is an expression used to show the nonequal comparison of numbers and variables.

Given the system of inequalities:

3y > 2x + 12

3y - 2x > 12 (1)

2x + y < -5 (2)

Plotting the inequalities using GeoGebra online graphing calculator. The graph is attached

Learn more on inequalities on:

brainly.com/question/11613554

#SPJ1

The point (–1, 0.5) lies on the graph of
f –1(x) = 2x. Based on this information, which point lies on the graph of f(x) = log2x?

Answers

The point which would lie on the graph of f(x) = log2x is; (1, 0.301).

Which point would lie on the graph of f(x) = log2x?

Since it follows from the task content that the given point (–1, 0.5) lies on the graph of f –1(x) = 2x.

The subsequent graph of f(x) = log2x would result from taking logarithms in which case, we have the graph passing through points determined as follows;

f(x) = log2^x

f(x) = x log2

Hence, when x = 1;

f(1) = 1log 2

Hence, we have point; (1, 0.301).

Answers

Answer:

Step-by-step explanation:

Draw a diagonal line connecting the centre to a vertex at the bottom. This makes a triangle. It is a regular pentagon so the base of that triangle is 7.6 / 2, which is 3.8. You also know that the angle from the apothem to the base is 90 degrees. You also know that you could split the centre angle into 5 triangles. 360 / 5 = 72 and we have half of it so it is 36 degrees.

Let's see what we have so far:

The base of the triangle is 3.8

The angle at the bottom is 90

The angle at the top is 36

We now have the tan and the opposite and we need the adjacent so rearrange for adjacent.

This gives you adjacent = opposite / tan(angle)

adjacent = 3.8 / tan(36)

adjacent = 5.2m

A government buys `x`fighter planes at `z` dollars each, and `y` tons of wheat at w dollars each. It spends a total of `B`dollars, where `B=xz+yw`. Write an equation whose solution is the given quantity:

2. The price of a ton of wheat, given that a fighter plane costs 100,000 times as much as a ton of wheat, and that the government bought 20 fighter planes and 15,000 tons of wheat for a total cost of $90 million.

Answers

The equation whose solution is the given quantity is 90,000,000 = 2,000,000w + 15,000w where w = $44.67

Equation

B = xz + yw

Where,

B = Total cost = 90x = number of fighter plane = 20y = tons of wheat = 15,000w = cost of each tons of wheatz = cost of fighter planez = 100,000w

B = xz + yw

90,000,000 = (20 × 100,000w) + (15,000 × w)

90,000,000 = 2,000,000w + 15,000w

90,000,000 = 2,015,000w

w = 90,000,000 / 2,015,000

= 44.6650124069478

Approximately,

w = $44.67

Learn more about equation:

https://brainly.com/question/2972832

#SPJ1

A matrix A has x rows and x+5 columns. B has y rows and 11−y columns. Both AB and BA exist. Find x and y.

Answers

Answer:

x = 3

y = 8

Step-by-step explanation:

A matrix product exists if and only if the number of columns in the left matrix is equal to the number of rows in the right matrix.

Setup

For AB to exist, we must have ...

columns of A = rows of B

x +5 = y

For BA to exist, we must have ...

columns of B = rows of A

11 -y = x

Solution

Using the second equation to substitute for x in the first equation, we have ...

(11 -y) +5 = y

16 = 2y

8 = y

Then the value of x is ...

11 -8 = x = 3

The values of x and y are ...

x = 3y = 8

Additional comment

The dimensions are A = 3×8; B = 8×3.

The function f(x)=−4x4+3x3−2x2−x+5 is/has A. order 2 rotational symmetry about the origin
B. neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin
C. even
D. odd

Answers

The answer choice which describes the function is; Choice B; neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.

What is rotational symmetry?

Rotational symmetry, otherwise termed radial symmetry, is the characteristic of a shape when it looks the same after some rotation by a partial turn. On this note, since the function represents a quartic graph, it follows that the function has neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.

Therefore, the function f(x) = −4x⁴ + 3x³ − 2x² − x + 5 is neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.

Answers

The height of the tide after eight hours is 16 feet.

How to illustrate the function?

From the information given, the function is given as 5cos (π/4)t + 11.

In this case, the time is given as eight hours. This will be:

f(8) = 5 × cos (π/4) × 8 + 11

f(8) = 5 × cos(2π) + 11

= (5 × 0.999) + 11

= 16 feet

The height is 16 feet.

Learn more about functions on:

brainly.com/question/5957029

#SPJ1

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/5 for pink, 1/25 for blue, 1/10 for yellow, and 1/15 for black. What is the probability of pulling a blue or yellow card,

Answers

The probability of pulling a blue or yellow card, written as a reduced fraction is 7/50

How to determine the probability of pulling a blue or yellow card, written as a reduced fraction?

From the question, we have the following probabilities:

P(Pink) = 1/5

P(Blue) = 1/25

P(Yellow) = 1/10

P(Black) = 1/15

The probability of pulling a blue or yellow card, written as a reduced fraction is the calculated as:

P(Blue or yellow card) = P(Blue card) + P(Yellow card)

Substitute the known values in the above equation

P(Blue or yellow card) = 1/25 + 1/10

Express 1/25 as 2/50 and 1/10 as 5/10

P(Blue or yellow card) = 2/50 + 5/50

Take the LCM

P(Blue or yellow card) = (2+ 5)/50

Evaluate the sum

P(Blue or yellow card) = 7/50

Hence, the probability of pulling a blue or yellow card, written as a reduced fraction is 7/50

Answers

Answer:

(a) 100 meters

Step-by-step explanation:

You want the width at the base of a cooling tower whose walls are modeled by the equation (x/20)² -((y-110)/48)² = 1.

Base

The width at the base will be the difference in the values of x when y=0.

(x/20)² -((0 -110)/48)² = 1

(x/20)² = 1 +3025/576

x = ±20/24√3601 ≈ ±50.01

The width will be 50.01 -(-50.01) ≈ 100 meters.

<95141404393>

The equation T^2= A^3 shows the relationship between a planets orbital period, T, and the planets mean distance from the sun, A, in astronomical units, AU. if the orbital period of planet Y is twice the orbital period of planet x, by what factor is the mean distance increased?

Answers

The mean distance increased by a factor of 2^(²/₃)

How to find the factor of increase?

The given equation for the relationship between a planet's orbital period, T and the planet's mean distance from the sun, A is;

T² = A³.

Let the orbital period of planet X = T(X).

Let the orbital period of planet Y = T(Y).

Let the mean distance of planet X from the sun = A(X).

Let the mean distance of planet Y = A(Y).

Thus;

A(Y) = 2A(X)

Therefore;

[T(Y)]² = [A(Y)]³ = [2A(X)]^3

However, [T(X)]² = [A(X)]³

Thus;

[T(Y)]² = 2³[T(X)]² * [T(Y)]²/[T(X)]² = 2³T(Y)/T(X) = 2^(³/₂)

That's for orbital period but the mean distance will increase by 2^(²/₃)

Thus we conclude that, the mean distance increased by a factor of 2^(²/₃)

Read more about factor of increase at; https://brainly.com/question/1638294

#SPJ1

Answer:

2 Superscript three-halves

Step-by-step explanation:

Edge

Two sides of a triangle have lengths 18m and 23m. Describe the possible length of the thired side

Answers

The possible length of the third side will be values that are less than 41 and greater than 5

Triangular theorem

For three sides to be the sides of a triangle, the sum of any two sides of the triangle must be greater than the third.

Given the two sides of a triangle have lengths 18m and 23m, the sum of the sides is given as:

sum = 18 + 23

Sum = 41

Let the third side be x, such that;

x + 18 >23

23 + x > 18

x > 23 - 18

x > 5

Similarly

x > -5

Hence the possible length of the third side will be values that are less than 41 and greater than 5

Learn more on side of triangle here: https://brainly.com/question/12240062

#SPJ1

PLEASE HELP! And thank you so much! I will mark you brainliest. I just need an urgent response! Thank you for your time

Answers

Answer:

x + y = 80

y = x + 20

B) x = 30 minutes

C) No. If Pam dances for 60 minutes, and dances for 20 minutes longer than she does math, then she does math for 40 minutes. This means she spends 100 minutes total. 100 minutes is not 80 minutes, thus this is not possible.

Step-by-step explanation:

x + y = 80

y = x + 20

B) x = 30 minutes

Replacing y with x + 20 in the first equation ->

x + x + 20 = 80

2x + 20 = 80

2x = 60

x = 30

A linear function always increases

-true

-false

Answers

Answer: False

Step-by-step explanation:

If the function has a negative slope, then it will decrease.

Q1. A man wants to paint his house in 3 colors. If he can choose 3 colors out of 6 colors, how many
different color settings can he make?
(A) 216 (B) 20 (C) 18 (D) 120

Answers

my best guess is 120

Calculate the distance between the points C = (0,-2) and L= (-4, 1) in the coordinate plane. Give an exact answer. (not a decimal approximation)

Answers

Answer: 5

Step-by-step explanation:

[tex]\sqrt{(-4-0)^2 + (1-(-2))^2}=5[/tex]

Drag a statement or reason to each blank in the table to complete the proof that <1 is congruent to <7.

Answers

Step-by-step explanation:

<1 congruent to <5.

<5 congruent to <7.

<1 congruent to <7.

Answer:

don't know but i need thee points

Step-by-step explanation:

A couple deposits $20,000 into an account earning 5% annual interest for 30 years. Calculate the future value of the investment if the interest is compounded monthly. Round your answer to the nearest cent.

Answers

The future value of the investment if the interest is compounded monthly is $89,354.89.

What is the future value of the investment?

Given that;

Principal P = $20,000Annual interest rate r = 5% = 5/100 = 0.05Time t = 30 yearsCompound monthly = 12Future value = A = ?

Using the compound interest formula;

A = P( 1 + r/n )^(nt)

We plug in our values.

A = 20000( 1 + 0.05/12 )^(12 × 30)

A = 20000( 1 + 0.0041666666666667)^(360)

A = 20000( 1.0041666666666667)^(360)

A = 20000( 4.46774965 )

A = 89354.89

Therefore, the future value of the investment if the interest is compounded monthly is $89,354.89.

Learn more about compound interest here: https://brainly.com/question/21270833

#SPJ1

A theater sells 2 types of fixed-price tickets - orchestra and balcony. Peter pays $50 for 1 orchestra and 4 balcony tickets. Justine pays $150 for 3 orchestra and 12 balcony tickets. А B The cost of 1 balcony ticket. The cost of 1 orchestra ticket. The quantity under A is greater than the quantity under B. The quantity under B is greater than the quantity under A. The quantities under A and B are equal. The information given is insufficient to make the comparison.

Answers

Using a system of equations, it is found that:

The cost of an orchestra ticket is of $10.The cost of a balcony ticket is of $10.The quantities are equal.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable a: Cost of an orchestra ticket.Variable b: Cost of a balcony ticket.

Peter pays $50 for 1 orchestra and 4 balcony tickets, hence:

a + 4b = 50 -> a = 50 - 4b.

Justine pays $150 for 3 orchestra and 12 balcony tickets, hence:

3a + 12b = 150.

a + 4b = 50 -> a = 50 - 4b.

The equations are equal, hence we suppose that the costs are equal, that is:

a + 4b = 50 -> 5a = 50 -> a = 10.

Hence:

The cost of an orchestra ticket is of $10.The cost of a balcony ticket is of $10.The quantities are equal.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Find DE
3x - 28
3x - 30
D
G
E
F
33

Answers

Answer:

Step-by-step explanation:

(3x-28) + (3x-30) + x = 33

7x - 58 = 33

7x = 91

x = 13

DE = 3x - 28 = 3*13 - 28 = 11

Beginning with the graph of f(x) x2, what transformations are needed to form g(x) = 3(x + 2)2 - 1?
O The graph of g(x) is narrower than f(x) and S shifted to the right 2 units and down 1 unit.
O The
graph of g(x) is narrower than f(x) and is shifted to the left 2 units and down 1 unit.
• The graph of g(x) is wider than f(x) and is shifted to the left 2 units and down 1 unit.
• The graph of g(x) is wider than f(x) and is shifted to the right 2 units and down 1 unit.

Answers

Answer: The graph of g(x) is narrower than f(x) and is shifted to the left 2 units and down 1 unit.

Step-by-step explanation:

See attached image.

The function f(x) = x² is transformed and became g(x) = 3(x+2)² -1 has the graph of g(x) is wider than f(x) and is shifted to the left 2 units and down 1 unit.

What are graph transformations ?

By applying suitable graph transformation we can shift, stretch, shrink, a given graph along x and y axis.

According to the given question given a graph f(x) = x² and g(x) is 3(x+2)² - 1.

Let us break transformations of g(x) one by one.

g(x) = 3f(x) which implies it's amplitude or vertical stretch is increased by a factor of 3.

Now, g(x) = 3(x+2)² implies the graph is shifted towards left by 2 units as x + 2 = 0 is x = -2.

Now, g(x) = 3(x+2)² - 1 implies that the whole graph has been shifted 1 units down along the y axis.

learn more about graph transformations here :

https://brainly.com/question/10059147

#SPJ2

Other Questions

Explain how the binding of a hormone to a target cell can be likened to an enzyme-substrate reaction Although American thinker and writer Ralph Waldo Emerson made this statement in the 19th century, it remains relevant today. As you work through this activity, consider his idea about peace in the context of the Israeli-Palestinian crisis in the Middle East.Recall what you know about human geography, and read about the long-standing conflict between the Israelis and Palestinians in Israel. Then consider the complexity and violence of the Israeli-Palestinian crisis and its direct tie to the geography of the Middle East.Write a 3-5 page research paper about the role that human geographyincluding factors like culture, economics, and religionplays in the conflict between the Israelis and Palestinians. Follow the process outlined below, and focus your research to answer the following question:How has human geography prevented the Israelis and Palestinians from reaching the understanding that Emerson cites as necessary for achieving peace? true or false? coaching is based in transformational leadership constructs such as individualized consideration, intellectual stimulation, and performance expectation for the employee. It became one of the most important cities in the Mediterranean world and remains so today.By 332 BC, Syria, Egypt, and Palestine belonged to Alexander. By 327 BC, Alexander had reachedIndia. He wanted to keep marching east, but his troops were tired of fighting. Alexander agreedto return west as far as Babylon. He hoped to eventually launch more campaigns, but he died ofa mysterious fever at the age of thirty-two,What is the central idea of this passage?A. Alexander was a skilled, merciful military leader who gained the respect of many people.B. Alexander only attacked the enemy during the day.C. Aristotle taught Alexander to appreciate Greek culture and the arts.D. Alexander founded the city of Alexandria in Egypt. the acceleration of a particle traveling along a straight line is a=1/2s1/2m/s2 , where s is in meters. part a if v = 0, s = 4 m when t = 0, determine the particle's velocity at s = 7 m . pumping vast quantities of water locally ________. group of answer choices lowers the local water table may form a cone of depression does not affect the water table raises the local water table evaluate the sin3 t cos t dt by making the substitution u = sin t.after substituting we have: (in terms of u, du, and c) ___ = ___After resubstitution we have : (in terms of t and c) sin^3 t cos t dt = ___ Use MATLAB to plot the following sequences from n = 0 to n = 50, discuss and explain their patterns: x[n] = cos(pi/2 n) x[n] = cos(5 pi/2 n) x[n] = cos(pi n) x[n] = cos(0.2n) x[n] = 0.8^n cos(pi/5 n) x[n] = 1.1^n cos(pi/5 n) x[n] = cos(pi/5 n) cos(pi/25 n) x[n] = cos(pi/100 n^2) x[n] = cos^2 (pi/5 n) determine the area of the region bounded by y = (x 2)e2x2 8x and y = 0 on the interval [0,4]. A blood pressure reading is given as 130/75. What units are implied by these numbers? Are these numbers total pressure or gauge pressures?(no mathmatical equations, paragraph form only) At the measured frequency, what is the ratio of the capacitive reactance of a typical clavus sample to that of verruca?] you can create invoices directly from estimates. group of answer choices a) true. b) false. Throughout the story, The Scarlet Ibis, the author provides names of specific plants and birds. What characteristics do these names have in common? How does the emphasis on the natural world support the theme of the story? Concentrated hydrochloric acid has 37.5% of HCl in mass and density of 1.2 g/cm3. What volume (in mL) of concentrated hydrochloric acid should be used to prepare 7 L of a 0.8 mol/L HCl(aq) concentration solution? an electron is released from rest at a place where the voltage is 1211 volts. what speed does the electron have when it gets to a place of 721 volts? Solve (540x45) +(540x 55) using suitable property. And mention the name of theproperty used woodworth used the term ""dynamic psychology"" because he was interested in: results of behavioral genetics twin studies suggest that heritability estimates for the big five personality factors are about True/False: the sql query can directly access disk blocks in the disk without accessing buffer caches in the memory. How would an acid-monitoring neuron's activity (frequency in firing) change when bodily fluids become more alkaline? Increase firing rate Decrease firing rate Firing rate would remain the same