In Triangle RMC, RM = 19. MC = 27. and CMR = 27°. What is the area of RMC? Round to the nearest tenth.

Answers

Answer 1

The area of the RMC triangle is 43.4.

What is a triangle?

3 sides, 3 corners, 3 corners form a closed triangle. The mathematical sign of a three-sided triangle is RMC. Triangle-shaped sandwiches and signs are the most common triangles.

Three sides and three interior angles together define a triangle (a rectilinear polygon). This symbol is used to represent one of the basic geometric shapes with three connected vertices.

Triangles are classified in different shapes depending on their sides and angles. Different parts form a triangle. It consists of 3 corners, and 3 sides.

If we round the area to the nearest 10th digit then it will be 116.

Use the Law of Cosines to find the length of the third side RC: RC = [tex]sqrt(19^2 + 27^2 - 2(19)(27)cos(27))[/tex]

Compute the semi-perimeter s = (19+27+RC)/2

Compute the area of the triangle with Heron's formula

A = [tex]sqrt(s(s-a)(s-b)(s-c))[/tex]

After the calculation, we can get the area is approximately 43.4

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Related Questions

What is the degree of polynomial 2xÂ² 5xÂ² 7?.

Answers

The degree of the polynomial 2x² 5x² 7 is 4.

The biggest sum of all the exponents for all of variables in a term is the polynomial's degree. Any polynomial's degree is determined solely by its variables; coefficients are to be disregarded. The highest exponential power in a polynomial equation is called the polynomial's degree.

When x is the variable with the highest power n in an nth degree polynomial function with real coefficients, where n can take whole number values.

One of the key ideas in mathematics is the degree of polynomials, which establishes the maximum number of possible solutions and the frequency with which a function will cross the x-axis on a graph.

A polynomial with many variables is of a certain degree: Find the term with the highest degree by averaging the exponents of all the variables in each phrase. That will be regarded as the polynomial's degree.

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A long year-end status report for work is 125 pages long. You need to print 18 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.66 each.

Answers

Answer:

$16.47

Step-by-step explanation:

125×18=2250

these are the pages printed

2250÷500=4.5

these are the reams of paper needed

$3.66 ×4.5=$16.47

this is the money needed

A parachutist's elevation changes by -35 ft in 5 seconds. What is the change in the parachutist's elevation each second?

Answers

Answer:

7 feet per second

Step-by-step explanation:

The change in elevation of the parachutist is -35 ft in 5 seconds. To find the change in elevation per second, we can divide the total change by the number of seconds.

Change in elevation per second = -35 ft / 5 seconds = -7 ft/s

So the parachutist's elevation changes by -7 ft/s each second.

It means the elevation of the parachute is decreasing by 7 feet per second.

What is the domain when the function is decreasing?.

Answers

A function is decreasing on some interval of its domain if f(a) < f(b) for all a, b in that interval such that a > b.

A function f(x) decreases on an interval I if f(b)<=f(a) for all b>a, where a,b in I. If f(b)<f(a) for all b>a, the function is said to be strictly decreasing. Conversely, a function f(x) increases on an interval I if f(b)>=f(a) for all b>a with a,b in I. If f(b)>f(a) for all b>a, the function is said to be strictly increasing. If the derivative f^'(x) of a continuous function f(x) satisfies f^'(x)<0 on an open interval (a,b), then f(x) is decreasing on (a,b). However, a function may decrease on an interval without having a derivative defined at all points. For example, the function -x^(1/3) is decreasing everywhere, including the origin x=0, despite the fact that the derivative is not defined at that point.

A function is increasing on some interval of its domain if f(a) > f(b) for all a, b in that interval such that a > b. A function is decreasing on some interval of its domain if f(a) < f(b) for all a, b in that interval such that a > b. More casually put: a function is increasing if the graph rises to the right. It is decreasing if the graph falls to the right.

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A hark i born meauring 20 inche in length. After 6 month, the hark i now 46 inche long. If x i the age of the hark in month, then y i the length of the hark in inche. At what rate i the hark growing? State your anwer a a reduced fraction. Inche per month Find an equation of a line in the form y = mx b that decribe the hark' length

Answers

A line is a one-dimensional shape that is straight. The equation of the line that describes the shark's length is [tex]y = \frac{13}{3}x + 20\\[/tex].

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by:

[tex]y = mx + c[/tex]

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

Given when the shark was born the length of the shark was 20 inches, therefore, the coordinates can be written as (0,20).

Similarly, the length of the shark is 46 inches, while the age of the shark is 6 months. Therefore, the coordinates can be written as (6,46).

Now, the slope of the line can be written as,

m = (46-20)/(6-0) = 13/3

Now, the equation of the line can be written as [tex]y = \frac{13}{3}x + c[/tex], further, substitute the value of any point in the equation of the line, therefore,

20=13/3(0)+c

c=20

Hence, the equation of the line that describes the shark's length is :

[tex]y = \frac{13}{3}x + 20\\[/tex].

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arturo walks from school to the city library. He walks 4 miles per hour. When Arturo is 0.2 mile from school, Carson leaves school. Carson jogs 6 miles per hour. The system of equations can be used to find when Carson catches up with Arturo.

Answers

4t + 0.2 = 6(t+x) this system of equations can be used to find when Carson catches up with Arturo.

What is a system of equations?

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitute solutions of the system.

The system of equations that can be used to find when Carson catches up with Arturo is:

distance = speed x time

For Arturo:

distance = 4t + 0.2

For Carson:

distance = 6(t+x)

where t is the time in hours that Arturo has been walking, x is the time in hours that Carson has been jogging, and distance is measured in miles.

Equating the two equations to find when they meet:

4t + 0.2 = 6(t+x)

And solving for x, the time in hours that Carson has been jogging.

x = (4t + 0.2 - 4t)/6 = 0.2/6 = 1/30

This is the time in hours that Carson has been jogging when he catches up with Arturo.

Hence, 4t + 0.2 = 6(t+x) this system of equations can be used to find when Carson catches up with Arturo.

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How do you find the discriminant and nature of the roots of a quadratic equation?.

Answers

To find the discriminant and nature of the roots of a quadratic equation, you can use the quadratic formula.

Write the quadratic equation in the form of ax² + bx + c = 0, where a, b, and c are constants, and x is the variable.

Calculate the discriminant using the formula

b² - 4ac.

Use the discriminant to determine the nature of the roots:

If the discriminant is greater than 0, the roots are real and distinct.

If the discriminant is equal to 0, the roots are real and identical (i.e., the equation has only one root).

If the discriminant is less than 0, the roots are complex and not real numbers.

To find the roots of the quadratic equation, you can use the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a. The plus-minus sign indicates that there are two possible solutions, and the square root of the discriminant is used to find them.

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Question 7 of 25
f(x)=√x-4. Find the inverse of f(x) and its domain.
OA. f-¹(x) = x² + 4; x≥0
OB. f-¹(x) = (x+4)²; x ≥ -4
OC. f-¹(x) = x² + 4; x ≥-4
OD. f-¹(x) = (x+4)²; x≥0

Answers

The inverse of the function f(x) and its domain include the following: D. f⁻¹(x) = (x + 4)²; x ≥ 0.

How to find an inverse function?

In order to determine an inverse function or the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = √x - 4

y = √x - 4

x = √y - 4

√y = x + 4

Taking the square of both sides of this inverse function, we have:

f⁻¹(x) = (x + 4)²

For the domain of this function, we have the following:

f(x) = √x - 4

When x= 0, we have:

f(0) = √0 - 4

f(0) = 0.

In conclusion, the domain of this function cannot be equal to -4 because it is impossible to find the square root of a negative number.

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Graph 16x - 4y = 12
(You can only graph on the given points)
*NO IN BETWEEN*

Answers

Step-by-step explanation:

16x - 4y = 12

4x - y = 3

4x = 3+y

x= 3+y/4

for y = 1

x= 3+1/4 = 1

y = 2

x=3+2/4 = 5/4 = 1.25

y = 3

x = 3+3/4 = 6/4 = 1.5

What are prime numbers of 36?.

Answers

The prime numbers of 36 are 2 and 3 and the Prime factorization expression of 36 is equals to 2 × 2 × 3 × 3.

Prime factorization is a method of representing a number as a product of prime factors. A prime factor of a number is a factor that is prime. The numbers are called factors of 36 that divide 36 evenly. In other words, if we multiply two numbers and get the result equals to 36. So, factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. Steps for Prime Factorization of 36 :

Step 1: In first step, divide the number i.e., 36 by its smallest prime factor. So, by divisibility rules, 2 is the smallest prime factor of 36. So, we get, 36 ÷ 2 = 18

Step 2: Here need repeatedly divide the quotient by 2 until we get a number that is no more divisible by 2. So, we divide 18 again by 2 which is 18 ÷ 2 = 9.

Step 3 : Now, 9 is not completely divisible by 2, so, we proceed with the next prime factor of 36, which is 3. That is 9 ÷ 3 = 3

Step 5: Divide the quotient by 3 again which is 3 ÷ 3 = 1. Now, we need not proceed further as we have obtained 1 as our quotient. Therefore, the prime factorization of 36 is expressed as 2 × 2 × 3 × 3 = 2² × 3²; where 2 and 3 are prime numbers and the prime factors of 36.

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Please help me with these questions

Answers

The two column proof showing that ΔKLG ≅ ΔMLG is as detailed below.

How to carry out a two column proof?

A two-column proof is defined as a geometric proof consists of a list of statements, and the reasons for which we know those statements to be true.

Statement 1: GL ⊥ KM

Reason 1: Given

Statement 2: KG ≅ MG

Reason 2: Given

Statement 3: ∠GLK and ∠GLM are right angles

Reason 3: Definition of right angles

Statement 4: GL ≅ GL

Reason 4: Reflexive Property

Statement 5: ΔKLG and ΔMLG are right triangles

Reason 5: definition of right triangles

Statement 6: ΔKLG ≅ ΔMLG

Reason 6: HL Congruency postulate

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What i the lowet poitive whole number that hould replace the quetion mark on the pinner o that the probability of pinning an odd number greater than 6 i 1/4

Answers

The lowest positive whole number that should replace the question mark on the pinner such that the probability of pinning an odd number greater than 6 is 1/4 is 9.

Lowest Odd Number

It could be determined by calculating the probability of pinning an odd number greater than 6 out of the total number of possible outcomes.

If we consider the lowest positive whole number greater than 6 is 7, then we have 7,9,11,13,15,17,19,21,23,25 and so on.

Out of these numbers, 1/4 are odd numbers greater than 6. So the lowest whole number that could replace the question mark on the pinner is 9.

This is applicable for any situation where the probability of an event occurring out of a set of possible outcomes needs to be determined, and the lowest value for which that probability is a certain ratio needs to be found. In this case, the event is pinning an odd number greater than 6, and the set of possible outcomes is all positive whole numbers greater than 6. The probability being considered is 1/4, and the question is what is the lowest value that can replace the question mark on the pinner such that this probability is achieved.

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What is the ratio to 15 unshaded squares to 10 shaded

Answers

The ratio of unshaded squares to shaded squares is 15:10. This means that for every 15 unshaded squares, there are 10 shaded squares. This can also be simplified to 3:2, which means that for every 3 unshaded squares, there are 2 shaded squares.

It is important to keep in mind that the ratio is not equal to the fraction, it's just a way to express the relationship between the two.

Answer:

15:10

Step-by-step explanation:

15:10 which means that for every 15 unshaded squares there are 10 shaded squares which can also be simplified to 3:2 which means pretty much the same thing, for every 3 unshaded squares there will be 2 shaded ones. A ratio is not a fraction, so i advise not treating it like one.

Help me solve this pls

9 + 8 > 20 or 2q - 5 <13

Answers

Answer:

So the final solution is q < 9 and the inequality is False.

Step-by-step explanation:

To solve the given inequality, you first need to simplify the left-hand side of the inequality:

9 + 8 = 17

so the inequality becomes:

17 > 20 or 2q - 5 < 13

Since 17 is not greater than 20, this inequality is false.

Next, we need to solve the other inequality:

2q - 5 < 13

To isolate the variable on one side of the inequality, we need to add 5 to both sides:

2q < 18

Then, we divide both sides by 2:

q < 9

So the solution is q < 9

So the final solution is q < 9 and the inequality is False.

Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. the first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

1. Write an equation for each tank representing the total amount of water in gallons in the tank, y, in terms of the number of hours, x, that the tank drains

2. what is the solution to this system of equations.

3. suppose Aiko starts draining the tanks at the same time. When will both tanks have the same amount of water? How much water is in each tank at that time

Answers

The answers to each part is mentioned above.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

( 1 ) -

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

( 2 ) -

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

( 3 ) -

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

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Please help me quick : )

Answers

We can rewrite the given linear equation to have the different numbers of solutions as:

a) 3x + 8 = 3x + 4

b) 3x + 8 = 3x + 8

c) 3x + 8 = 3x +x

What we need to add such that the equation is not true?

Here we have the linear equation:

3x + 8 = 3x + ?

Notice that the first term (the one that depends of x) is equal in both sides, so the equation will not be true only if the second term is a constant and is different to 8, so for example we could write:

3x + 8 = 3x + 4

b) Infinite solutions means that we have the same thing in both sides, so here we can add 8

3x + 8 = 3x + 8

Is true for all values of x, thus, it has infinite solutions.

c) The equation will have one solution only if the coefficients of the variable x are different in both sides, then here we can add "x"

3x + 8 = 3x +x

3x + 8 = 4x

That equation has a single solution:

8 = 4x - 3x

8 = x

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You took a taxi to your house from the airport. The taxi company charges an initial fee of $5 and then $4 per mile. When the ride is over, you end up paying a total fare of $49. How many miles away is your house from the airport?

Answers

11 miles. A base number of 49$ minus the set cost of 5$ is equal to 44$. If its 4$ per mile, you would divide 44 by 4 to get the answer of 11.

Answer:11 miles

Step-by-step explanation:

so, no matter what you pay $5, and each mile is $4, so you pay $49 dollars. First do 49 - 5, which equals 44, and 44 ÷ 4 = 11, so the answer is 11 miles

Hugo works for the Produce and Pantry grocery store as a bagger. He earns $57.50 for a 5-hour shift. How much does he earn per hour?

Answers

Answer:

Hugo earns $11.50 per hour

Step-by-step explanation:

57.50/5 = 11.50

Answer:$11.5 per hour

Step-by-step explanation: $57.50 / 5 hour shift = $11.5 per hour

Answer these questions, if you get them right i will give brainlets

x-2/9=6 5/9 ??

J+1/2=3 9/14??

x-1/8=5/24??

Answers

The results for each operation are given as follows:

x-2/9=6 5/9 -> x = 61/9.

J+1/2=3 9/14 -> J = 22/7.

x-1/8=5/24 -> x = 1/3.

How to solve the expressions?

The first step to solve the expressions is to transform the mixed numbers to fractions, hence:

6 5/9 = (6 x 9 + 5)/9 = 59/9.3 and 9/14 = (3 x 14 + 9)/14 = 51/14.

Then the solution for the first expression is of:

x = 59/9 + 2/9

x = 61/9.

The solution for the second expression is of:

J = 51/14 - 1/2

J = 51/14 - 7/14

J = 44/14.

J = 22/7.

The solution for the third expression is of:

x = 5/24 + 1/8

x = 5/24 + 3/24

x = 8/24

x = 1/3.

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find slope and y intercept for brainliest

Answers

Answer: Slope = - 1/3, the y-intercept = -4

Step-by-step explanation:

Pick two coordinates: (-1, -1), (2, -2)

Find the slope: y2 -y1 / x2 - x1

-2 - (-1) / 2 - (-1) = - 1/3

Slope intercept form: y = mx + b

Substitute in what you know to find b:

-1 = -1/3 (-1) + b substitution property

-1 = 1/3 + b distributive property

-3 = 1 + b multiplication property

-4 = b subtraction property

The letters of the alphabet are written on cards and placed in a hat. What is the probability of drawing a constant, replacing it, and then drawing a vowel

Answers

The probability of drawing a constant, replacing it, and then drawing a vowel is given as follows:

105/676.

How to obtain the probability?

A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.

In the context of this problem, we have that:

For the first hat, 21/26 probability of drawing a consonant.For the second hat, 5/26 probability of drawing a vowel.

Hence the probability of drawing a constant, replacing it, and then drawing a vowel is calculated as follows:

p = 21/26 x 5/26 = 105/676.

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Help me again I really need help

Answers

The simplified expression of the given expression is 6x + (-21).

What is simplified expression?

Simplified expression is that expression which does not contains any like terms. When in an expression, all the like terms are combined and all of the specified brackets are solved, then only unlike terms are left in the simplified expression which cannot be further reduced.

We are given expression as 6 + 2(x-8) + 3x -11 + x

Now, on simplifying the expression, we get

⇒ 6 + 2x - 16 + 3x - 11 + x

⇒ 6x - 21

⇒ 6x + (-21)

Hence, the simplified expression of the given expression is 6x + (-21).

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Since, there are multiple questions so the question I answered is attached below.

Select all expressions that could be equivalent to x^2+bx-36 where b is negative

Answers

The expressions that could be equivalent to x^2+bx-36 where b is negative is option 1: (x + 3)(x - 12) and option 5: (x - 9)(x + 4).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is - x² + bx - 36

The first expression is - (x + 3)(x - 12)