How many possible triangles can be created if measure of angle A equals pi over 6 comma c = 18, and a = 9?

0 triangles
1 triangle
2 triangles
Cannot be determined based on the given information

Answers

Answer 1

If the measure of angle A equals pi over 6, the angle c equals 18, and the angle an equals 9, triangles may be formed.

When do three lines join to make a triangle?

You only need to apply the Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side. A triangle will exist if this holds true for each of the three possible added side length combinations.

From the given information, we have that:

m<B = pi/6 = 30 degres

c = 10

b = 5

This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle

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Related Questions

69°F
() Which ordered pairs represent points on the graph of this equation? Select all that apply.
7y = -4x + 28
>
(3, -6)
(5,0)
(0,4)
(-4,-5)
(-5, 1)
(-6, 3)

Answers

Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.

What exactly is a line equation?

A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.

given

7y = -4x + 28

For (3,-6)

7(-6) + 4( 3) = 28  

-42 + 12 = 28

no

For (5,0)

7(0)+4(5)= 28  

= 20

no

For (0,4)

7(4)-0=28  

Yes

For (-4,-5)

7(-5)+4( - 4)= 28

no

For (-5, 1)

7(1)+4(-5)=28

No

For (-6,3)

7(-6)+4(3)= 28

No

hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.

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A kite is flying 24 ft off the ground. Its line is pulled taut and casts a 7-ft shadow. Find the length of the line. If necessary, round your answer to the nearest tenth.

Answers

The side lengths are;

tan x = e/f

cos x = e/d

sin x = f/d

What is a right angled triangle?

We know that a right angled triangle is the kind of triangle that one of the sides of the triangle would be 90 degrees.

There are some ratios that are associated with the right angled triangle and we call them the trigonometric ratios. These include the sine the cosine and the tangent. All of these ratios does depend on the lengths of the sides of the right angled triangle.

The sides of the right angled triangle are the opposite, the adjacent and the hypotenuse and these can be obtained based on the relative position of the angle.

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Which graph represents a linear function?

Answers

The  linear function is a straight line graph . Consequently, the third graph shows a linear function.

what is linear function ?

When the independent variable (often 'x') varies by a constant amount and the dependent variable (typically expressed by 'y') changes by a constant amount, the function is said to be linear. To show the relationship between two quantities, a linear graph is a straight line graph. This graph is useful for showing a result as a series of simple straight lines. The phrase "linear" refers to a straight line and excludes the usage of curves, dots, bars, etc. Plot coordinates at positions where x and y are identical in order to draw the line y = x. More points can be plotted even though three are plenty.

given

A linear function has a graph that is a straight line. A nonlinear function, then, has a graph that is not a straight line.

Something like y equals x cubed or y equals e to the power of x is an illustration of this. Furthermore, if we look closely at our graph, we can see that the line is not vertical.

The graph of a linear function is a straight line. Consequently, the third graph shows a linear function.

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If f(-5)=0, what are all the factors of the function f(x)=x^3-19x+30? Use the remainder Theorem.

Answers

The requried other factors of the given function are (x - 2) and (x - 3).

What is the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
=  [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)

Thus, the requried other factors of the given function are (x - 2) and (x - 3).

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A=[2 3) B=(1 2) find AB
[0 8) (2 -1)

Answers

Answer: To find the product of two matrices A and B, we must use the matrix multiplication rules.

Matrix A is a 2x2 matrix with values [2 3; 4 5] and matrix B is a 2x2 matrix with values [1 2; 3 4].

The result of matrix multiplication, AB, will also be a 2x2 matrix.

To find each element in the resulting matrix, we take the dot product of the corresponding row in matrix A and column in matrix B.

The first element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the first column in matrix B:

(21) + (33) = 2+9 = 11

The second element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the second column in matrix B:

(22) + (34) = 4+12 = 16

The third element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the first column in matrix B:

(41) + (53) = 4+15 = 19

The forth element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the second column in matrix B:

(4*2)

Step-by-step explanation:

A shelf has 20 bags of potatoes. Two of the bags have potatoes starting to go bad.

The probability of drawing a bag with bad potatoes is less than 1.
True or False

The probability of drawing a bag with good potatoes is greater than 0.
True or False

What is the probability of drawing a bag with bad potatoes?


What is the expected probability of the complement of the event?

Answers

Answer:

The probability of drawing a bag with bad potatoes is less than 1. True

The probability of drawing a bag with good potatoes is greater than 0. True

What is the probability of drawing a bag with bad potatoes?

The probability of drawing a bag with bad potatoes is (2 bad bags) / (20 total bags) = 0.1 or 10%.

What is the expected probability of the complement of the event?

The complement of the event of drawing a bag with bad potatoes is drawing a bag with good potatoes. The probability of drawing a bag with good potatoes is (18 good bags) / (20 total bags) = 0.9 or 90%.

Uday Tahlan


Find the distance between the points.
(−3,− 8), (6, – 8)
The distance is

Answers

To calculate the distance between two points:

We apply the following formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

(x₁,y₁) = -3, -8(x₂,y₂) = 6, -8

We substitute data and solve:

[tex]\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }[/tex]

The distance between the points (−3,− 8), (6, – 8) is 9.

There are 12 girls and 18 boys in a class. What is the largest number of group they can be split into and have the same of boys and girls on each team?

Answers

Answer: The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups with 2 boys and 2 girls in each group.

24.
-2
2
NO
2
y-int=
slope =
equation:
y
2
X

Answers

On solving the provided question we can say that from data provided by the graph, we have a straight line, which means that the coordinates are equal. so the equation will be x = y = > x-y = 0

What is graphs?

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.

from data provided by the graphs,

we have a straight line,

which means that the coordinates are equal.

so the equation will be x = y

x-y = 0

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what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right

Answers

Answer:

To calculate the percent of change, you will need to find the difference between the original score and the revised score and divide that by the original score. Then, multiply the result by 100 to express the answer as a percentage.

In this case, the difference between the original score (5 questions right) and the revised score (15 questions right) is 10 questions. Dividing this by the original score of 5 questions gives you a result of 2. Multiplying this by 100 gives you a percent of change of 200%. This means that your revised score is 200% higher than your original score.

Step-by-step explanation:

The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 5 seconds, how far does the jumper fall? (5 points)
400 feet
160 feet
6,400 feet
80 feet

Answers

If the amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16. The distance the jumper fall is: A 400 feet.

How to find the distance?

Using this formula to find the distance by solving for d

t=√d/q

Where:

t = Time = 5 seconds

d = Distance = ?

q = Quantity = 16

So,

5 seconds=√d/16

d=16x5²

d=16 × 25

d= 400 feet

Therefore we can conclude that the correct option is A.

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Find the circumference of a circle with a diameter of 50 centimeters

Answers

Answer:

157.08 is the circumference. Hope it helps you

Step-by-step explanation:

What’s does 1.56x-7.8 equal

Answers

Answer:-12.168

Step-by-step explanation: multiply it regularly, then count how many decimals are after the numbers, in this case, 3. cus it’s 2 after 1.56 and one after 7.8

Answer: x=5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable (x)

Goran invested his savings in two investment funds. The amount he invested in Fund A was 7000 less than the amount he invested in Fund B. Fund A returned a 4% profit and Fund B returned a 2% profit. How much did he invest in Fund B, if the total profit from the two funds together was 500?

Answers

If Goran invested his savings in two investment funds. The amount that Goran invest in Fund B, if the total profit from the two funds together was 500?

How to find the amount invested?

Amount Invested in Fund  A = x

Amount invested in Fund  B = x+7000

Profit from fund A = 0.04x

Profit from fund B = 0.02(x+7000)

0.04x +0.02(x+7000) = 500

0.04 +0.02x + 140 =500

Combine like terms

0.06 x =360

Divide both side by 0.06x

x = 360 /0.06

x = 6,000

Amount Invested in Fund A = x =6,000

Amount invested in Fund B = x+7000

Amount invested in Fund B = 6,000 + 7,000

Amount invested in Fund B = 13,000

Therefore the amount invested in Fund A 6,000 and the Fund B is 13,000.

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The population of a city decreases by 0.9% per year. If this year's population is pp, which expression does NOT represent next year's population?

0.9910.991
0.991p0.991p
(1-0.009)p(1−0.009)p
1p-0.009p1p−0.009p

Answers

The expression does not represent next year's population is 0.991. The correct option is A.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the population of a city decreases by 0.9% per year. The expression for the population depreciation is,

Population = ( 100% - 0.9%)P

Population = (1 - 0.009)P

Population = 0.991P

Hence, the expression not representing the depreciation is 0.991.

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The diameter of a circle measures 18yd . What is the circumference of the circle? Use3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Solution

Given ,

The diameter of a circle measures 18yd

To Find : The Circumference of a circle

Radius can be the determined by the formula

[tex]r = \frac{d}{2} \\r = \frac{18}{2} \\r = 9yd[/tex]

Now we can apply the formula of the circumference of a circle which is,

[tex]Circumference = 2\pi r[/tex]

[tex]Circumference = 2X3.14X9[/tex]

[tex]Circumference = 56.52[/tex]

Hence , the Circumference of a circle is 56.52yd

So i am trying to help out my son with his homework and i do not remember this at all if anyone could help me it would greatly be appreciated

Answers

Answer:51x900/100

Step-by-step explanation:

So you’ll do 51 x 900

And then at the denominator when there is no number it is automatically 1 so the denominator will be 100.

***** 6. A certain movie is 105 minutes long. It started at 6:15 pm. During the movie, there were two commercial breaks, one lasting 9 minutes and one lasting 6 minutes. At what what time did the movie finish​

Answers

According to the given conditions in the question, the movie did finish at 8:15pm exactly.

What is the average  movie length in hollywood?

The average movie length of movies in hollywood is  around 120 -130 mins per movie. However this fact can vary as per the genre and type of the film.

How are movies helping to improve world economy?

The movie business, usually referred to as the film industry, has a big influence on the economy. For those involved in the industry, such as performers, directors, camera operators, sound technicians, special effects designers, and theater owners, the creation and distribution of films can result in jobs and financial gain.

The local economy can benefit from the tourists that movies can bring to an area where a movie is being made or is located. The money made by persons employed in the film business is likely to be spent on other goods and services, stimulating extra economic activity. As a result, the film industry may also have a "multiplier impact" on the economy.

So according to the question, the movie itself started at 6:15 pm, and it lasted for 105 mins , also adding the time for commercials of 9 mins and 6 mins , which ultimately added 15 more mins, the total screen time would be ,

105 + 15 = 120 mins

Which is equal to 2 hrs, so the movie finished at 8:15 pm.

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how many 2/5s are in 1 and 1/2

Answers

Answer:

4

Step-by-step explanation:

How many 2/5s are in 1 1/2? To make it easier and simpler , I would change these fractions into decimals . Our answer is there are ALMOST 4 of 2/5ths in 1 and a half .

hello, i need helpw ith my math question

Answers

The three ways to purchase a vehicle include: (1) On lease  (2) On hire purchased and (3) On cash basis

How to purchase a vehicle?

A vehicle can be purchased on the following ways:

Lease:  This involves granting the user access on the property over a period of time before he could make paymentHire purchase:  In this method, the buyer deposits first initial money while he agrees with the seller to make the payment of the balance on installment basis Cash:  In this method the buyer pays cash at prompt or on the point of purchase

Advantages include:

It places the buyer on good life without cashHe enjoys the luxurious life

Disadvantages:

He can run away with the vehicleThe seller looses in cash of accident taking the life of the buyer

Additional expenses include

cost of maintenance repairsfueling

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Please help me asap

Answers

On solving the provided question, we cans ay that By unitary method, the amount to be removed = original - shortened = 3/9 - 2/9 = 1/9

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

By unitary method,

original length of pipe = 3/9 inch

shortened length of pipe = 2/9

so, the amount to be removed = original - shortened = 3/9 - 2/9 = 1/9

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5. Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.

Answers

Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.

what is circle ?

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle.

given

10 groups of 3 students = 30 students :

5 groups of 2 students + 5 groups of 4 students = 30 students : 7 groups of 3 students + 3 groups of 3 students = 30 students

so Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.

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Find a line that passes through the points (-1,3) and (5,-1)

Answers

y2-y1/x2-x1

= (-1-3)/(5+1)

= -4/6

= -2/3

y = -(2/3)x + c

3 = (2/3) + c

c = -2/3 + 3

c = -2/3 + 9/3

c = -7/3

y = (2/3)x + (7/3)

For FFA, Mr. Sink bought 7 calves for $3,500. He later bought another calf for $600. What is the mean cost for all of the calves?

Answers

Answer: Mr. Sink bought 7 calves for a total of $3,500, and he later bought another calf for $600, for a total of $4,100.

In total, Mr. Sink bought 7 + 1 = 8 calves.

The mean cost for all of the calves is equal to the total cost of all of the calves divided by the number of calves.

Therefore, the mean cost for all of the calves is 4,100 / 8 = $512.50.

Step-by-step explanation:

Evaluate the expression (42 + 2) -5

Answers

Answer:

39

Step-by-step explanation:

Solve inside of the parenthesis, then open them and solve.

(42 + 2) - 5

(44) - 5

44 - 5

39

Answer:

39

Step-by-step explanation:

42+2−5

=39

Please help me I’ll mark you brainly

Answers

On solving the provided question, we can say that -  here in graph we have on solving equation  [tex]2x^2+ 9y^2 \\[/tex] = [tex]8 + 9 = 17[/tex]

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

[tex]2x^2+ 9y^2 \\[/tex]

[tex]8 + 9 = 17[/tex]

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How do you find the discrminant?

Answers

The discriminant is calculated using the formula b squared minus 4ac.It reveals how many possible answers there are to a quadratic problem.

what is discriminant ?

The section of the quadratic formula following the square root symbol, b2-4ac, is the discriminant. If there are two solutions, one solution, or no solutions, the discriminant informs us of this. There are two solutions if the discriminant is bigger than zero. The square root's input (i.e., its contents), which is the phrase b2 4ac, is known as the "discriminant" because using its value, you may "discriminate" between (i.e., be able to distinguish between) the different solution types.

here

Keeping in mind that a, b, and c are the coefficients of your quadratic in standard form,

the discriminant is calculated using the formula b squared minus 4ac.

It reveals how many possible answers there are to a quadratic problem.

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Evaluate each expression for x = 3 & y = 4
4. x² + 2(x+y)
5. (xy)^3
4х² - 3ху
4x -

Answers

Using the values for x and y and substituting these values in the expression of equations provided, The answer is 23 and 1728.

What do you mean by equations?

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

What do you mean by substitution?

When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.

x=3 and y=4

[tex]x^2 + 2(x+y)\\=3^2 + 2* (3+4)\\=9+2*7\\=9+14\\=23[/tex]

[tex](xy)^3\\=(3*4)^3\\=12^3\\=1728[/tex]

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How many Proper Fractions are there?

Answers

I think there are 11

The wall paper Jeff wants to use comes in rolls that are 1 yard wide and 10 yards long. How many square feet of wall paper are in each roll?

Answers

Answer:

Each roll of wallpaper has an area of 90 square feet.

Step-by-step explanation:

In order to find the number of square feet of wallpaper in each roll, we first need to calculate the total area of the wallpaper in the roll. The area is the product of the length and width of the roll.

The width of each roll is 1 yard, and the length of each roll is 10 yards.

Area of the wallpaper = width x length = 1 yard x 10 yards = 10 square yards

Now we need to convert the area from square yards to square feet, as the area of wallpaper is usually measured in square feet.

1 yard = 3 feet

So we need to multiply the area in square yards by the conversion factor, which is 9.

10 square yards = 10 square yard * 9 = 90 square feet

Therefore, each roll of wallpaper has an area of 90 square feet.

It's important to note that while calculating, the units should be consistent i.e area of a length (yard) multiplied with a width(yard) will give the area in square yards, which we converted to square feet by considering the conversion factor of 1 yard = 3 feet.

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