In ΔEFG, g = 8.4 inches, mm∠G=79° and mm∠E=25°. Find the length of f, to the nearest 10th of an inch.

Answers

Answer 1

The 8.4 inches length of g and the 79° and 25° measures of the angles ∠G and ∠E, using the law of sines, indicates that the length of the side  EG = f is about 8,3 inches.

What is the law of sines?

The law of sines states that the ratio of the sine of an interior angle of a triangle to the length of the opposite side to the angle is the same for the three sides and angles in a triangle.

Mathematically, the law of sines can be presented as follows;

[tex]\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} =\dfrac{c}{sin(C)}[/tex]

Where;

a, b, and c are the length of each of the sides of the triangle, and ∠A, ∠B, and ∠C are the measure of each of the interior angles of the triangle.

The details of the triangle ΔEFG, specifying the side g as the side opposite the angle ∠G, and the side f as the side opposite the ∠F we get;

The length of EF = g = 8.4 inches

Length of EG = f

The angle sum property of a triangle indicates that we get;

∠E + ∠F + ∠G = 180°

∠F = 180° - (∠E  + ∠G)

∠F = 180° - (25°  + 79°) = 76°

According to the law of sines, we get;

8.4/(sin(79°) = f/(sin(76°))

f = (sin(76°)) × 8.4/(sin(79°) ≈ 8.3

The measure of the length of f is about 8.3 inches

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Related Questions

Hi,please help !
I need help on question b)
( see image)

Answers

The builder needs building sand weighing 6.3 * 10⁶ g and contains 9 * 10¹⁰ grains

What is an equation?

An equation is used to show the relationship between numbers and variables.

A brick layer needs 6300 kg of building sand

The conversion from kg to g is:

1 kg = 1000 g

a) 6300 kg in grams is:

6300 kg = 6300 kg * 1000 g per 1 kg = 6,300,000 g = 6.3 * 10⁶ g

b) 1 grain = 7 * 10⁻⁵ g

6.3 * 10⁶ g = 6.3 * 10⁶ g * 1 grain / (7 * 10⁻⁵ g) = 9 * 10¹⁰ grain

The builder needs 6.3 * 10⁶ g of building sand

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What is the formula for vector direction?

Answers

The formula for vector direction is: Direction = arctan (y/x) , Where x is the x component of the vector and y is the y component of the vector.

1. Find the x and y components of the vector

2. Divide the y component by the x component

3. Calculate the arctan (inverse tangent) of the result

4. The result is the direction of the vector in radians (or degrees if you prefer).

If you want to convert the result from radians to degrees, you can use the following formula:

(in degrees) = arctan (y/x) * (180/π)

Where π (pi) is approximately equal to 3.14.

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x + 7 = 4x + 4 what is the value of x

Answers

Answer:

x=1

Step-by-step explanation:

x + 7 = 4x + 4

7 = 3x +4

3 = 3x

1 =x

Answer: x=1

Explanation: First get the variable by itself. To do this, subtract 4 and x from both sides. This should get you to 3=3x. Then divided both side by 3.

I NEED ANSWERS ASAP!!!!!!!!!!!

If WY is 4. 6, what is MZ? Round your

answer to the nearest tenth. Write NA if there

is not enough information given.

Answers

NA (There is not enough information given to determine the value of MZ)

In this question, we are given that WY is 4.6 for us to find the value of MZ We need more information to be in a position to answer this. More information includes maybe we know the value of M or at least having some relationship between WY and MZ for us to draw a conclusion and come up with the value of MZ. If at all we had a common value in WY and MZ say M then it could be easier to come to a conclusion and finally get the value of MZ.

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BUILD PERSEVERANCE Part A Simplify the expression. (8x + 6) + (5 − x) − 2 (3x+1) ​

Answers

The expression is x + 9.Generally speaking, an expression is at its simplest form when it is most usable.

What is its most basic form?Generally speaking, an expression is at its simplest form when it is most usable. as in this: 5x + x 3.To simplify an expression, create a similar expression devoid of any identical terms. Therefore, we shall rephrase the expression using the fewest number of terms possible.Determine the domain before you can simplify a rational expression.The collection of all possible inputs to a function, including all potential values for the variables, that enable the function to function.

Explanation:

8x + 6+5 - x - 6x - 2

= x + 9.

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On a negatively skewed curve, which is true?
a.The median is lower than the mode which is lower than the mean. b.The mean, median, and mode are the same. c.The mean is lower than the median which is lower than the mode. d.The mode is lower than the mean which is lower than the median. e.The mean is lower than the mode which is lower than the median.

Answers

The mean of negatively skewed data is smaller than the median. If the data are displayed symmetrically, the distribution is not skewed regardless of tail length or thickness. So, option d. is correct.

What do you mean by skewed curve?

A skew curve is a type of statistical distribution in which the data are unevenly distributed. This is often called an asymmetric distribution, meaning that the two halves of the curve look different. A skewed curve can be either positively or negatively skewed, depending on the direction in which the data points are shifted. Positively skewed curves tend to have long tails to the right, while negatively skewed curves tend to have long tails to the left. This type of distribution is common in real-world data such as income and wealth distributions.

A negatively skewed curve is indicated by the negative tail of the chart. This means that the data points are likely to be below average. Therefore, the mean is lower than the mode, which is lower than the median. The mean is the arithmetic mean of all data points, the mode is the most common value, and the median is the midpoint of the data points.

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Please answer I need it!

Answers

C cuz I just know it

Answer:

Number 1

Step-by-step explanation:

The only one that makes sense

Write the Riemann sum to find the area under the graph of the function f(x) = x4 from x = 5 to x = 7.

Answers

Answer:

Refer to the attached image.

Step-by-step explanation:

Use the graphs below to answer the question.
From left to right and top to bottom, the titles read, Graph A. Graph B, Graph C. Graph D, Graph E.
Which graphs represent a nonlinear function?
Select all that apply.
A
Graph A
B.
Graph B
С
Graph C
D
Graph D
E
Graph E

Answers

Answer:

it's graph A sorry if I'm wrong:)))

The answer would be D I believe

given that sin x = cos 2x find the value of x​

Answers

Answer:

The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.

Step-by-step explanation:

PLEASE HELP ME!!
1. What is ​7/10​ expressed as a decimal?

(There aren't any options)

2.What is ​27/36​ as a decimal?
(Also no options)

3.What is 5/21 expressed as a decimal?


0.238095¯¯¯¯¯¯¯¯

0.238095¯¯¯¯¯

0.238095¯¯¯¯¯¯¯¯¯¯

0.238095

4.What is the decimal representation of 5/11?


0.045¯¯¯¯

2.2

0.45¯¯¯¯

2.2¯

5.Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.



Drag and drop the fractions into the boxes to correctly complete the table.



Terminating Decimal Repeating Decimal

56/72, 12/30, 15/40, 12/37

Answers

Answer: 7/10 as a decimal is 0.7

27/36 is 0.75

5/21 is 0.23809523809524

5/11 is 0.45

that's about what I can help with sorry

Step-by-step explanation:

Answer:

This person above is correct.

( I apologize, i wanted to help the person get the brainiest they deserve.)

write the rule x= 10, -4, 0, 5, -2
y= 29, -13, -1, 14, -7

10=29
-4=-13
0=-1
5=14
-2=-7 help asap!!

Answers

The rule for the given set of data is y = 3x - 1.

What is rule in function?

The relationship between dependent and independent variables, expressed as an equation, is referred to as a function rule. In order to calculate the value of the dependent variable, say y, in terms of the independent variable, say x, one must follow a specific function rule.

A function rule can be defined as the procedure that transforms an input value into an output in plain English.

Lets put two of the points in slope formula

y - y₁ = m(x - x₁)

29 - (-13) = m(10 - ( -4))

42 = m14

m = 42/14

m = 3

Now lets make the equation

y - 29 = m(x - 10)

y = 3x - 30 + 29

y = 3x - 1

Thus, the rule for the given set of data is y = 3x - 1.

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Why is it called revolution?

Answers

The term "revolution" is often used to refer to a dramatic and sudden change in a situation, especially  number of a political situation. It is derived from the Latin word revolutio, which means "a turn around". The term was first used in the 1500s to describe a political movement of overthrowing a government or social system and replacing it with another.

Revolution is a term used to refer to a dramatic and sudden change in a situation, especially a political situation. It is derived from the Latin word revolutio, which means "a turn around". The term was first used in the 1500s to describe a political movement of overthrowing a government or social system and replacing it with another, thus making it a revolution.

The term "revolution" is often used to refer to a dramatic and sudden change in a situation, especially number of a political situation. It is derived from the Latin word revolutio, which means "a turn around". The term was first used in the 1500s to describe a political movement of overthrowing a government or social system and replacing it with another.

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Given the data set 3,4,1,12,8,3,9,5,what is the median?

Answers

Answer:

4.5

Step-by-step explanation:

Put numbers in order, 1,3,3,4,5,8,9,12

Divide by 2 because there are 2 numbers

Because 4.5 is in the middle of 4 and 5 that is your median

WILL MARK BRAINLIEST: A researcher wishes to see if a kelp extract helps prevent frost damage on tomato plants. One hundred tomato plants in individual containers are randomly assigned to two different groups. Plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with a kelp extract, while the plants in group 2 are not. After the first frost in the autumn, 8 of the 50 plants in group 1 exhibited damage, and 18 of the 50 plants in group 2 showed damage. Why would the use of z-procedures be questionable value in this situation?

a. We don't know whether the 10% condition has been met.
b. We don't know the standard deviation for either population.
C. d.
Individual plants were not assigned randomly to the two experimental treatments.
We cannot be sure that the Normality condition has been met.
e.
We are collecting results on the entire population of plants, so statistical inference from samples is unnecessary.

Answers

C. Individual plants were not assigned randomly to the two experimental treatments.

The use of z-procedures assumes that the groups being compared are independent and were randomly assigned. If this assumption is not met, then the use of z-procedures would be questionable. In this case, it is stated that the plants were randomly assigned to the two different groups, so this assumption would be satisfied. The other options (a, b, d, and e) do not necessarily affect the validity of using z-procedures.

What is the probability of a football player correctly guessing whether the coin
toss will be heads or tails?

Answers

The probability of guessing what it’ll be is 1/2

I would like help with this, please. Someone give me an answer in the next day or two.

Answers

Answer:

one solution

Step-by-step explanation:

The two lines cross at exactly one point.  That means there is one solution.

#11 Please answer the question

Answers

The answer to this is D. 134

The residents of downtown neighborhood designed a triangular-shaped park as part of a city beautification program. The park is bound by streets on all sides. The second angle of the triangle is 5 degrees more than the first. The third angle is 5 degrees less than four times the first. Find the measures of the angle

Answers

The triangular park has three angles: 60°, at its base, 55° at its top, and 65° at its base.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

As part of a civic beautification initiative, residents in a downtown neighbourhood created a park with a triangle shape.

Let's say that the initial angle is x°.

Accordingly, the second angle is (x + 5)° and the third angle is (5x - 5)° from the information provided.

The inner angles of a triangle are known to add up to 180 degrees.

∴ x + (x + 5) + (x - 5) = 180°

3x = 180°

x = 180°/3

x =60 °.

Hence, the triangular park has three angles: The triangular park has three angles: 60°, at its base, 55° at its top, and 65° at its base.

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What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot?

12x6
12x18
72x6
72x18

Answers

The expression is

TO FIND :

The simplified form of the given expression

SOLUTION :

Given expression is

Now solving the given expression as below:

The property of square root is given by:

By using the exponent property

Answer:

The answer is B. on edge 2020

Step-by-step explanation:

cuz im smart

Which scatter shows a positive association for the data

Answers

Answer:

A scatter plot shows the association between two variables. A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative.

Step-by-step explanation:

hope that helps!! :)

A person drives 150 meters in 18 seconds. Calculate its speed.

Answers

The speed driven would be 18.6411 mph

Two times a number added to another number is 25. Three times the first number minus the other number is 20. Find the numbers.

Answers

Answer:

first number is 9

second number is 7

Step-by-step explanation:

2x + y = 25

3x - y = 20

Add the two equations so that 'y' is eliminated:

5x = 45

x = 9

2(9) + y = 25

18 + y = 25

y = 7

Ariana has a collection of 100 coins. How many coins represent 10% of her collection?

Answers

Answer: 10

Step-by-step explanation:

10% is the same as 10/100

10% would equal 10 (out of the 100) coins

The Space Needle elevator can hold a maximum of 4,500 pounds. Twenty-five people need to use the elevator. Arian had some measures from the data set of how much each person weighed. Which measure would be most useful to determine if the people can safely use the elevator?
Answer choices
Mode

Mean

interquartile range

Median

Answers

The measure that would be most useful to determine if the people can safely use the elevator is B. Mean

How to illustrate the information?

The most useful measure to determine if the people can safely use the elevator would be the mean weight of the people, as it would give an idea of the average weight of the group and if it is below 4,500 pounds.

The mode is the most common value in a set of data and does not give information about the weight of the entire group. The interquartile range is a measure of the spread of the middle 50% of the data and does not give information about the average.

In conclusion, the correct option is B.

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there are 40 questions in the test Jane got 6/8 of the questions correct Jim got 20 more wrong answers than Jane did how many correct answers the gem get​

Answers

Step-by-step explanation:

[tex] \frac{6}{8} \times 40 = 30 \\ jane \: got \: 30 \: questions \: correctly \\ that \: means \: that \: jim \: got \: 30questions \: wrong \\ therefore \: the \: questions \: he \: got \: right \: is \: 40 - 30 = 10[/tex]

A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 80.



Regression Equation:

Final Answer:

Answers

on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5

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.

equation given is 3(x+2)=7x-48

value of x

[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]

value of x from the given equation comes out to be 13.5

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What are the three types of algorithms?

Answers

The three types of algorithms are Brute Force algorithm, Greedy algorithm and Recursive algorithm.

What is Brute Force algorithm?

As a very general approach to problem solving and an algorithmic paradigm, brute-force search or exhaustive search entails iteratively listing all potential candidates for the solution and determining if each one satisfies the problem's statement.

In order to find the divisors of a natural number n, a brute-force algorithm would count all integers from 1 to n & determine whether each one divides n without leaving a remainder.

A brute-force method might look at all possible configurations of 8 pieces on the 64-square chessboard and determine whether each queen piece may engage in mutually exclusive attacks for each configuration for the eight queens puzzle.

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Solve each system of inequalities. SHOW WORK.

[tex]\left \{ {{0.7x-2.1\ \textless \ 0} \atop {\frac{2}{3} x\ \textgreater \ 1}} \right.[/tex]

Answers

Answer:

Solve linear or quadratic inequalities with our free step-by-step algebra calculator. ... Example 1 Solve for x and check: x + 5 = 3. Solution.

Missing: [tex ‎0.7x-2.1\ ‎\textless ‎\atop ‎\textgreater ‎tex]

What are the dimensions of the base of the pyramid?

m
8 ft by 6 ft
8 ft by 3 ft
6 ft by 3 ft
8 ft by 9 ft

Answers

Answer:

I don’t understand the question

Step-by-step explanation:

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