Use the law of sines to find the value of a.law of sines: what is the best approximation of the value of a?2.4 cm2.7 cm3.0 cm3.3 cm

Answers

Answer 1

The best approximation value of a is 3.0cm.

The sides and angles of non-right (oblique) triangles are related according to the Law of Sines.

We know according to law of sines:

[tex]a/SinA = b/SinB = c/Sinc[/tex]

by putting the values we can write,

[tex]a/Sin40\° = 4.7/Sin95\°.[/tex]

[tex]a = 4.7*Sin40\°/Sin95\°.[/tex]

by putting the value of Sin40° and Sin95°.

[tex]Sin40\° = 0.64, Sin95\° = 0.99[/tex]

we get a = 3.03cm.

Approximation value of a is 3.0cm.

Given question is incomplete, Complete Question here:

Use the law of sines to find the value of a.

law of sines:

what is the best approximation of the value of a?

2.4 cm

2.7 cm

3.0 cm

3.3 cm

Given triangle ABC with ∠BAC=40°, ∠ABC=95°,AC = 4.7cm, BC = a cm.

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Related Questions

Randall need 24 erving of ice cream for
a cla party. If each erving i 1
/8 quart,
how many quart of ice cream will he need? (PLEASE HELP FAST!)
A: 3 quart
B: 5 quart
C: 6 quart
D: 8 quart

Answers

Randall needs 3 quarts of ice cream.

What is the quarts?

An English measurement of volume equal to one-quarter gallon is the quart. There are now three different types of quarts in use: the liquid quart, dry quart, and imperial quart of the British imperial system. One litre is roughly equivalent to each. It is divided into either four cups or two pints.

If Randall needs 24 servings, that means that there would be 24 kids in his class.

If each kid in his class would have 1/8 quart,

you would do 24 x 1/8 which is 3 quarts.

3 quarters

Hence, Randall needs 3 quarts of ice cream.

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jadaa maake 55 ccups of blueberry jam and divided the jam equally amoung 4 containers how much jam went in each container a 2t third of a cup b 1 cup c 3over 2 of a cup and d 24 cups

Answers

When the denominator is bigger than the numerator, a fraction is expressed as one with a numerator and a denominator. 55 cups of jam divided equally into 4 containers yields 13.75 cups per container. 13.75 cups of jam are contained in each container.

What is a fraction?When the denominator of a fraction is greater than the numerator, the fraction is expressed as a pair of numbers. A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A proper fraction has a numerator that is lower than its denominator. Example: 1/2, 1/3 is a fraction.

We have,

55 cups of blueberry jam were produced by Jada, who then evenly distributed the jam across 4 containers.

jam content of each container.

= 55 cups / 4 container

= 13.75 cups / 1 container

This indicates that there are 13.75 cups of jam in each container.

55 cups of jam are divided into 4 equal containers in this manner.

13.75 cups / 1 container

The amount of jam in each container is 13.75 cups of jams.

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Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents:
three to the one third power all over three to the one sixth power
A. the square root of three to the one sixth power
B. the ninth root of three squared
C. the square root of three to the sixth power
D. the sixth root of three

Answers

Answer:

D. The sixth root of three

Step-by-step explanation:

Translate from words to math symbols:

three to the one third power all over three to the one sixth power

[tex]\frac{3^{\frac{1}{3} } }{3^{\frac{1}{6} } } \\[/tex]

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents:

[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} }[/tex]

Simplify:

[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} } = \frac{\sqrt[3]{3} }{\sqrt[6]{3} } * \frac{\sqrt[6]{3^{5} } }{\sqrt[6]{3^{5} } } = \frac{\sqrt[3]{3} *\sqrt[6]{3^{5} } }{\sqrt[6]{3^{6} } } = \frac{3^{\frac{1}{3} }*3^{\frac{5}{6} } }{3^{\frac{6}{6} } } = \frac{3^{(\frac{1}{3} +\frac{5}{6} )} }{3} = \frac{3^{(\frac{2}{6} +\frac{5}{6} )} }{3} = \frac{3^{\frac{7}{6} } }{3} = \frac{3^{\frac{1}{6} } *3}{3} = \\\\3^{\frac{1}{6} } = \sqrt[6]{3}[/tex]

Answer:

[tex]\sqrt[6]{3}[/tex]

D. the sixth root of three

Please solve this question with proper explanation to this,

thank you

Answers

The owner of a landscaping company can determine how much time, on average, his employees spend mowing one lawn by taking hours per lawn.

How do we calculate average?An average is now a single number that is selected to represent a collection of numbers; it is frequently the sum of the numbers divided by the total number of numbers in the collection.Average When calculating the arithmetic mean, a set of numbers is added, their count is divided, and the result is then taken.The median or mode of a statistic, for example, could also be considered an average depending on the circumstance. Since the mean would be artificially inflated if it included the personal incomes of a few billionaires, the median is frequently used to represent the average personal income.The median is the value at or above which half of all personal incomes fall and half of all personal incomes rise.

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Which properties are present in a table that represents a logarithmic function in the form y = logo when b>

1. The y-values are always increasing or always decreasing.

II. The point (0, 1) exists in the table.

III. The y-values will decrease rapidly as the x-values approach zero.

IV. There will only be one x-value in the table with a y-value of zero.

O

O

O

O

I only

I and II only

1, 111, and IV

II and III only

Mark this and return

Save and Ex

Submit

Answers

Answer:

Step-by-step explanation:

i think its 1

There are 9 five-minute segments in_____________________.

Answers

The number of minutes which contains 9 five- minute segments as required in the task content is; 45 minutes.

What is the total number of minutes which contains 9 five- minute segments?

It follows from the task content that there are 9 five minutes segments in how many minutes.

The question posed in the task content can be interpreted as determining the total number of minutes in 9 five minutes segments.

On this note, it can be evaluated as follows;

9 × 5 minutes

= 45 minutes.

On this note, it can be concluded that the number of minutes which contains 9 five minutes segments is; 45 minutes.

The blank in the task content can therefore be filled with; 45 minutes.

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mason never has a pencil when test day rolls around. because the classmates are tired of having to supply pencils for mason, only 15% of students will give mason a pencil when asked. today is test day and mason begins asking randomly selected students for a pencil. let y

Answers

The expected number of people that Mason will have to ask to get a pencil, using the binomial distribution, is of:

6.67.

What is the binomial distribution formula?

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the distribution are given are given and expected as follows:

n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.

The expected number of trials until q successes is given as follows:

E(X) = q/p.

15% of students will give mason a pencil when asked, hence the parameter p is given as follows:

p = 0.15.

Then the expected number of students that Mason will have to ask is of:

E(X) = 1/0.15 = 6.67.

q = 1 as one pencil = one success.

Missing Information

The problem asks for the expected number of students that Mason will have to ask for the pencil.

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How to solve Solve 3! what the exclamation point means but it part of the problem

Answers

Answer:

3! = 3*2*1 = 6

Step-by-step explanation:

! is factorial meaning that you multiply that number by all of the number below it

9! = 9*8*7*6*5*4*3*2*1

1011 = 1011*1010*1009*1008...3*2*1

What is the slope of the line?

Answers

Answer: -1/4

Step-by-step explanation:

     We will use "rise over run" to find the slope of this line.

     Starting at (0, 1) we will count down (negative slope) one unit and 4 units to the right and arrive at point (4, 0) for a slope of -1/4.

please help im suffering right now

Answers

Answer:

C

Step-by-step explanation:

If we use the distributive property for 4 (2x + 1), we see that 4 (2x) = 8x and that 4 (1) = 1. That means 4 (2x + 1) = 8x + 4 which is not equivalent to 2x + 4y. So this limits our answer to either C or D. C is the correct answer because if we use the distributive property again here for 4 (2x + y), we see that 4 (2x) = 8x and 4 (y) = 4y. That means that 4 (2x + y) = 8x + 4y which is the answer we're looking for.

May I please have brainliest for this? Thank you very much!

Two augmented matrices for two linear systems in the variables x, y, and I are given below.
The augmented matrices are in reduced row-echelon form.
For each system, choose the best description of its solution.
If applicable, give the solution.
(a)
10-1
01 1
100 0
5
100 2
0011 4
000-2
OThe system has no solution.
O The system has a unique solution.
(x,x.) - D
O The system has infinitely many solutions.
O (1.7.²) = (1.D
(1.7.2) -..D
(x,y,z) ==)
O The system has no solution.
O The system has a unique solution.
(x,y) - D
O The system has infinitely many solutions.
(x, y, z)=(xD
(2.3.²) -..D
(..)-:)
8
X

Answers

a) The system has infinitely many solutions in the following format:

(2 + z, 5 - z, z).

b) The system has no solution.

How to obtain the number of solutions of each system?

To obtain the number of solutions of each system, the equations are built from the augmented matrix presented.

For item a, both sides of the matrix have one zero row, hence the system has infinitely many solutions, and the equations are given as follows:

x - z = 2.y + z = 5.

Hence the solutions in terms of z are given as follows:

x = 2 + z.y = 5 - z.

Thus the format of the solutions is of:

(2 + z, 5 - z, z).

For item b, the right side has three non-zero rows, while the left-side has two, meaning that it has no solutions.

This can be verified from the last line, as the equation would be of:

0z = -2.

Which has no solution.

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What is the y-intercept of the line that is parallel to y 2 and goes through the point (-3,4)?

Answers

The y-intercept of the line that parallel is y = 4.

What is the y-intercept of the line?

The point on a line where it crosses the y-axis is known as the y-intercept. To put it another way, it is the value of y when x is equal to 0. This can sometimes have real significance for the model that the line offers, but it can also have no significance. In this section, we will see examples of both categories.

Use the slope-intercept form to find the slope.

The slope-intercept form is

y = mx + b,

where,

m is the slope and b is the y-intercept.

y = mx + b

Using the slope-intercept form, the slope is 0.

m = 0

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope 0 and a given point (-3, 4) to substitute for x1 and y1 in the point-slope form in the point-slope form y − y1 = m(x − x1),  which is derived from the slope equation

[tex]m = \frac{y_2 - y_1}{x_2 - _1}[/tex]

y - 4 = 0⋅(x - 3)

Simplify the equation,

y = 4.

hence, the y-intercept of the line that parallel is y = 4.

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winston and his friends are heading to the yeti trails snow park. they plan to purchase the yeti group package, which costs $54 for 6 people. that's $3 less per person than the normal cost for an individual. which equation can you use to find the normal cost, x, for an individual? a) 6(x-3)= 54 b) 3(x-6)=54 c) 3x-6=54 d) 6x-3=54

Answers

The equation representing the normal cost (x), for an individual, is 6(x - 3) = 54, so option A is correct.

What is equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given:

Costs $54 for 6 people of the package, and $3 less per person than the normal cost for an individual.

The individual cost = 54 / 6 = $9, so the normal cost will be = 9 + 3 = $12

Apply the hit and trial method in the option,

(2)

3(x - 6) = 54

x - 6 = 54 / 6

x = 9 + 6 = 15

(1)

6(x - 3) = 54

x - 3 = 54 / 6

x = 9 + 3 = 12

Therefore, the equation representing the normal cost (x), for an individual is 6(x - 3) = 54.

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Solve for r.

−88=11(r−6)

Enter your answer in the box.
r =

Answers

Answer:

r=-2

Step-by-step explanation:

[tex]-88=11(r-6)\\\frac{-88}{11}=\frac{11(r-6)}{11}\\-8=r-6\\-8+6=r-6+6\\r=-2[/tex]

Answer:

r = -2

Step-by-step explanation:

Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Addition

Subtraction

~

First, divide 11 from both sides of the equation:

[tex]-88 = 11(r - 6)\\\\-\frac{88}{11} = \frac{ [11(r-6)]}{11}\\\\-8 = r - 6[/tex]

Next, isolate the variable, r. Add 6 to both sides of the equation:

[tex]-8 = r - 6\\-8 (+6) = r - 6 (+6)\\r = -8 + 6\\r = -2[/tex]

r = -2 is your answer.

~

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It cost $255 for 30 students to see the musical. How much will it cost 85 students to see the
play? Write and solve a proportion to answer the question.

Answers

Answer:

$722.5

Step-by-step explanation:

Since $225 is 30 students we can do 85/30 and multiply 225 by that.

For the proportion, it would be: 255/30=x/85

85/30=2.8 1/3

2.8 1/3*255=722.5

So it would be $722.5 for 85 students

Answer:

$722.5

Step-by-step explanation:

$255/ 30= 8.5

8.5* 85= $722.5

Activity class has 20 women and 13 men. A committee of five is chosen at random. Find (a) p(the committee consists of all women). (b) p(the committee consists of all men) (c) p(the committee consists of all of the same sex) Activity Suppose that a die is loaded (biased) such that 3 appears twice as often as each other number but that the other 5 numbers are equally likely. What is the probability that an odd number appears when we roll this die?

Answers

the probability of the committee consisting of all women is 6.53%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

number of women = 20

number of men = 13

Total number of persons = 20+ 13 = 33

A committee of 5 people is chosen at random. Total number of ways in which the committee of 5 can be chosen N

N = C(33 5) = 33! / 5!*28!

N = 237336

p(the committee consists of all women) = C (20 3)*C(13 0)/N

p = 15504 / 237336

p = 0.0653

Hence, the probability of the committee consisting of all women is 6.53%

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Martina is driving to Atlanta. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.85. Martina has 74 miles remaining after 39 minutes of driving. How many miles will be remaining after 57 minutes of driving?

Answers

Miles will be remaining after 57 minutes of driving 58.7 miles.

What is Linear Function?

The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Write the linear function as:

remaining distance = -0.85(drive time) + (intercept)

After 39 minutes of driving, Martina has 74 miles left to go.

That gives you the following:

74 = -0.85(39) + intercept

intercept = 107.15

Equation is rd = -0.85t + 107.15

remaining after 15 minutes of driving:

rd(57) = -0.85*57+107.15

rd(57) = 58.7 miles

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Find the equation of a line parallel to y = 3x - 3 that passes through the point
(-2,5)

Answers

Answer:

y=3x+11

Step-by-step explanation:

y=mx+b is slope intercept form

m is slope and b is y intercept

parallel lines have the same slope so we know the slope will be 3 so to find the y intercept we plug in what we know

y=3x+b

5=3(-2)+b

5=-6+b

+6 +6

11=b

y=3x+11

hopes this helps please mark brainliest

The bill for two book came to $28. 48. One book cot $7. 44. What wa the cot of the other one

Answers

Answer:

Step-by-step explanation:

Ok:

If the two books together costs $28.48 and one of them cost $7.44 Subtract to get the other book's price

2. 28.45-7.44=$21.01

3. Answer: The cost of the other one is $21.01

Write the equation of the line that passes through the points (4, -8) and (7,-8) fully reduced PLEASE HELP

Answers

The equation of the line that passes through the points (4, -8) and (7,-8) is 5.33x + y = 13.22.

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given two points,

(x1 = 4 ,y1 = -8) and (x2 = 7, y2 = -8)

The equation's general form will be written first:

y = mx + c

We may compute the slope of the equation (m) as follows:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{-8-8}{7-4}[/tex]

m = -16/3

m = -5.33

equation is y = -5.33x + c.

By entering the values of the x and y coordinates, we can now determine the value of the y-intercept (c):

For the point (4,-8),

-8 = -5.33(4) + c

-8 = -21.32 + c

c = 13.32

So the equation become ;

y = -5.33x + 13.32

or, 5.33x + y = 13.22

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12. A rectangle is drawn so that the base lies on thex-axis, and the top corners are on the curvey=48−x 2. Draw a diagram. Find the maximum area of such a rectangle.

Answers

the maximum area of such a rectangle will be 144 unit²

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

The area of rectangle is A = a*b

A = 2x*(48-x²) = 96x - 2x³

We are asked to maximize the Area as changes so hopefully, we can identify a critical point of

It an associated with a maximum, So we need to find [tex]\frac{dA}{dx}[/tex] = 0

96 - 6x² = 0

x² =96/6 = 16

x = ±6

So the width = 12

Height = 48 - 36 = 12

So the area = 144 unit²

Hence the maximum area of such a rectangle will be 144 unit²

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drag the description from the torres-porras experiment on to the position it represents in the scientific method.

Answers

These are the general steps that every experiment takes, however no two research programs are the same. The aforementioned steps can be changed.

What is hypothesis in math?

A hypothesis is a proposition that makes sense in light of the available information but has neither been confirmed nor refuted.

                             A statement on which hypothesis testing will be based is referred to as a hypothesis in statistics (also known as a statistical hypothesis).

Of the 10 targets, you mislabeled two. Both the forecast and the hypothesis were messed up by you. Remember that a hypothesis usually offers less detail than a prediction.

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Ronald types 360 words in 9 minutes.

If he types at a constant rate, how many words does Ronald type in 1 minute?

Enter your answer as a number, like this: 42

Answers

Answer:

Ronald types 40 words per minute.

Step-by-step explanation:

A hall can accommodate 600 chairs arranged in rows Each row has the same number of chairs The chairs are rearranged such that the number of row is increased by 5 but the number of chairs per row is decreased by 6 a) Find the original number of rows of chairs in the hall b) After the re-arrangement 450 people were seated in the hall leaving the same number of empty chairs in each row. Calculate the number of empty chairs per row.​

Answers

The 600 chairs capacity of the hall and the arrangement such that an increase in the number of rows by 5 decreases the number of chairs per row by 6 is a word problem that indicates;

(a) There are originally 20 rows of chairs in the hall

(b) The number of empty chairs per row is 6 empty chairs

What is a mathematics word problem?

A word problem is a question in which the information required to find the solution and the description of the situation is provided using sentences, or regular verbal statements rather that symbols, expressions or operators.

(a) The number of chairs the hall can accommodate = 600

Let x represent  the number of rows of chairs, therefore;

The number of chairs per row = 600/x

When the number of rows is increased by and the number of shares per row is decreased by 6, we get;

New number of rows = x + 5

New number of chairs per row = (600/x) -6

The equation for the number of chairs in the hall becomes;

(x + 5) × ((600/x) - 6) = 600

600·x + 6·x² - 570·x - 3000 = 0

6·x² + 30·x - 3000 = 0

x² + 5·x - 500 = 0

(x + 25)·(x - 20) = 0

x = -25 and x = 20

The number of rows is a positive number, therefore;

The original number of rows, x = 20

(b) After re-arrangement, the number of rows, x = 20

The new number of chairs per rows = (600/20) - 6 = 24

The new number of rows = 20 + 5 = 25

Let E represent the number of empty chairs, the number of people in each row becomes 24 - E, which indicates;

25 × (24 - E) = 450

450 ÷ 25 = 18 = 24 - E

E = 24 - 18 = 6

The number of empty chairs per row, E = 6

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A mountain climber found that the relationship between his altitude and the surrounding air temperature is linear. The function
represents this relationship, where is the altitude in meters and is the temperature in degrees Fahrenheit. According to this function, by how much is the temperature decreasing for every meter that the mountain climber’s altitude increases?

Answers

The temperature decrease for every meter that the mountain climber's altitude increases is given by:

-100 ºF.

What is the temperature decrease?

The function that models this situation is a linear function, which has the format defined as follows:

y = mx + b.

In which the coefficients are given as follows:

m is the slope of the function, representing by how much y changes when x is increased by one.b is the y-intercept of the function, representing the numeric value of y when x = 0.

In the context of this problem, the function is defined as follows:

f(a) = -100a + 75.

Hence the slope of the function is of:

-100.

Representing the temperature decrease for each meter of altitude increase of the climber.

Missing Information

The function is defined as:

f(a) = -100a + 75.

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What is the force should be applied to a piston with radius of of 1 to create a pressure of 8? (you'll have to rearrange the equation)

Answers

Force applied on the piston is 8π.

Given , Radius = 1 , Pressure = 8

Since , the units of pressure and radius are not given, let us assume radius is in cm and pressure is in [tex]\frac{Newton}{cm^{2} }[/tex].

Now , it becomes

Radius(r) = 1 cm

Pressure(p) = 8 [tex]\frac{Newton}{cm^{2} }[/tex]

Now , We know that

Force = Pressure × Area

∴ F = p × a

or F = 8 × π×[tex]1^{2}[/tex]         [∵ Area of Piston = π[tex]r^{2}[/tex]]

F = 8π

Hence ,Force applied on the piston is 8π.

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Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity?.

Answers

The expression "(-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.

(-3 1/4d + 3/5) - (2 7/8d + 7/10)

⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10

⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10

⇒ (-13/4 - 23/8)d + 6/10 - 7/10

⇒ (-26/8 - 23/8)d - 1/10

⇒ -49/8 d - 1/10

Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

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can anyone help ? No links please worth a lot of points! I also need a explaination and the answer for Z

Answers

Answer:

11.66

Step-by-step explanation:

10^2 + 6^2 = Z^2

100 + 36 = Z^2

136 = Z^2

sqrt(136) = Z

sqrt 136 = 11.66

Solve for x:

7x(x+1. 8)=0


Need help ASAP.


Answer is not x=-1. 8 or x=0

Answers

Answer:

Step-by-step explanation:

x = -9/5 = -1.800 or

x = 0

2x + 1 ≥ 5+x

Pls help quickly

Answers

Answer:

x≥4

Step-by-step explanation:

2x + 1  ≥ 5 + x  Subtract x from both sides

x + 1 ≥ 5  Subtract 1 from both sides

x ≥ 4

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