Answers
The length of BE is 15 cm.
It is given that length of FA is 40 cm and CD is 24 cm.Use trigonometry or similar triangles.In ΔDAC,Tan(∠DAC) = DC/ACIn ΔEAB,Tan(∠EAB) = BE/AB∠DAC = ∠EABDC/AC = BE/AB(DC)(AB) = (BE)(AC)This is equation (1).In ΔDAC,Tan(∠FCA) = FA/ACIn ΔDAC,Tan(∠ECB) = BE/BC∠FCA = ∠ECBFA/AC = BE/BC(FA)(BC) = (BE)(AC)This is equation (2).From equations (1) and (2),(DC)(AB) = (FA)(BC)24(AB) = 40(BC)AB = BC(40/24)AB = BC(5/3)In equation (2), AC can be written as the sum of AB and BC.(FA)(BC) = (BE)(AB + BC)Use the known values.40(BC) = (BE)[(5/3)BC + BC]40(BC) = (BE)[(8/3)BC]40 = BE(8/3)BE = (40/8)*3BE = 5*3BE = 15cmTo learn more about trigonometry, visit :
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Related Questions
Which of the following is NOT a voluntary response sample?
***
Choose the correct answer below.
A. A local dentist asks her patients to fill out a questionnaire and mail it back to determine the quality of the care received during an office
visit.
B. Quiz scores from a college level statistics course are analyzed to determine student progress.
C. A radio station asks for call-in responses to a question concerning city recycling.
OD. A survey is taken at a mall by asking passersby if they will fill out the survey.
Answers
Of the given options, the one that is NOT a voluntary response sample is B. Quiz scores from a college level statistics course are analyzed to determine student progress.
What is a voluntary response sample?A voluntary response sample refers to a sampling method where those who are to be in the sample are asked to be in the sample. They will have a choice on accepting the offer to be in the sample.
When quiz scores from a college level statistics course are used as the sample, this is not a voluntary response sample as the students who had the scores were not consulted.
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24. m/PQT if m/PQR = 25° and m/RQT = 11°.
m
Answers
13 degrees mPQT = 1 degree in internal angle .
An illustration of an internal angle?
Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three interior angles. Interior angles are sometimes defined as "angles enclosed in the interior region of two parallel lines when they are intersected by a transversal."mPQR=25 degrees , mRQT=11 degrees.
mPQT=PQR-RQT
MPQT=25-11=13 degrees
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Write the sentence as an equation. 84 is equal to the quotient of 165 and y
Answers
Answer:
84=165/y
Step-by-step explanation:
3. Find the circumference of the circle. Use 3.14 for the value of . Round your answer to the nearest tenth. 64.1 in 63.4 in 19.9 in 62.8 in 20 in
Answers
Answer:
62.8 in
Step-by-step explanation:
The circumference, C. of a circle with diameter d is given by the formula
[tex]C = \pi d[/tex]
Here [tex]\pi = 3.14[/tex] and [tex]d = 20[/tex] in
So circumference = 3.14 x 20 = 62.8 inches
The following represent statistics of weekly salaries at Acme Corporation.
Mean = $585 Median = $581 Mode = $575
First Quartile = $552
Third Quartile = $605
a) What is the most common salary? $575
Standard deviation = $28.
86th Percentile = $612
b) What salary did half the employee's salaries surpass? $581
c) About what percent of employee's salaries is below $612?
d) What percent of the employee's salaries are above $552?
e) What salary is 2 standard deviations below the mean?
f) About what percent of employee's salaries is above $592?
g) What salary is 1.5 standard deviations above the mean?
(Round answer two decimal places, if necessary.)
P64 = $592
Answers
a) This refers to the mode = $575
b) This refers to the median = $581
c) This refers to the 86th Percentile = $612
d) This refers to the First Quartile = $552
e) The salary is that is 2 standard deviations below the mean = $529
f) About 36 percent of employee's salaries is above $592
g) $627 is 1.5 standard deviations above the mean
Given data
Mean = $585
Median = $581
Mode = $575
First Quartile = $552
Third Quartile = $605
Standard deviation = $28.
86th Percentile = $612
P64 = $592
How to find the required valuesa) What is the most common salary? $575
This refers to the mode = $575
b) What salary did half the employee's salaries surpass? $581
This refers to the median = $581
c) About what percent of employee's salaries is below $612?
This refers to the 86th Percentile = $612
d) What percent of the employee's salaries are above $552?
This refers to the First Quartile = $552
e) What salary is 2 standard deviations below the mean?
The mean is given as $585 and the standard deviation is $28
2 standard deviation below the mean is:
= 585 - 2 * 28
= 585 - 56
= $529
f) About what percent of employee's salaries is above $592?
P64 is given as $592 this refers to the percent of employee's salaries that falls under 64%. so the percent above is above 64 is given as:
= 100 - 64
= 36%
g) What salary is 1.5 standard deviations above the mean?
The mean is given as $585 and the standard deviation is $28
1.5 standard deviation below the mean is:
= 585 + 1.5 * 28
= 585 + 42
= $627
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Use f (x) = |x|
f (x) is shifted left 5 and shifted up 2 to create g(x). Write the equation g(x)
Answers
Assuming that f(x)=x, we need to shift f(x) to the left by 5 and up by 2 in order to get g. (x). The equation g(x) may be written in mathematical terms as
G(x)=(x+5)+2
This is further explained below.
What is a function?Generally, In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.
In conclusion, Assuming f(x)=x, f (x) is shifted left 5 and shifted up 2 to create g(x). the equation g(x) is mathematically given as
G(x)=(x+5)+2
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2,094.1 nearest tenth
Answers
Answer:
The possible answer i giot when solving was: 2094.1
when rounded to the nearest tenth.
Debbie has 340 dimes in three boxes. she says that there are 4 times as many dimes in the first box as in the second and 3 times as many in the third box as in the first how much money in dollars does she have in each box
Answers
The amount of money in the first box is 8 dollars
The amount of money in the second box is 2 dollars
The amount of money in the third box is 24 dollars
Solving equationsFrom the question, we are to determine how much money there are in each box
From the given information,
"Debbie has 340 dimes in three boxes"
Let x represents the number of dimes in the first box
y represent the number of dimes in the second box
and z represent the number of dimes in the third box
Thus,
x + y + z = 340
Also, from the given information
"she says that there are 4 times as many dimes in the first box as in the second"
x = 4y
and
"3 times as many in the third box as in the first"
z = 3x
Substitute the second and third equations into the first equation
x + y + z = 340
4y + y + 3x = 340
4y + y + 3(4y) = 340
4y + y + 12y = 340
17y = 340
y = 340/17
y = 20
Substitute the value of y into the second equation
x = 4y
x = 4(20)
x = 80
Substitute the value of x into the third equation
z = 3x
z = 3(80)
z = 240
Thus,
There are 80 dimes in the first box
80 dimes = 8 dollars
There are 20 dimes in the second box
20 dimes = 2 dollars
There are 240 dimes in the third box
240 dimes = 24 dollars
Hence,
The amount of money in the first box is 8 dollars
The amount of money in the second box is 2 dollars
The amount of money in the third box is 24 dollars
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A parking lot has 65 spaces total. If 30 of the spaces have cars in them, what is the ratio of empty spaces to filled spaces?
Answers
Answer: 35:30, because 65-30 equals 35 and if you do the empty spaces which there are 35 to the filled spaces which there are 30 it will become your answer of 35:30.
Hope this helps!
The solution is 7 : 6
The ratio of proportion of the empty spaces to the filled spaces is 7 : 6
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
Let the total number of parking spaces be = P
The value of P = 65 spaces
Now , the number of spaces that are filled with cars = 30 spaces
So , the remaining number of spaces = the empty spaces
The remaining number of spaces = total number of parking spaces - number of spaces that are filled with cars
Substituting the values in the equation , we get
The remaining number of spaces = 65 - 30
The remaining number of spaces = 35 spaces are empty
Now , the ratio of empty spaces to filled spaces is given by
Ratio of empty spaces to filled spaces = 35 : 30
On simplifying , we get
Ratio of empty spaces to filled spaces = 7 : 6
Therefore , the proportion is 7 : 6
Hence , The ratio of the empty spaces to the filled spaces is 7 : 6
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(4x+5)+(-5x-1) help me solve this I’m struggling
Answers
Answer:[tex]-x+4[/tex]
Step-by-step explanation:
Combine like terms:
[tex](4x+-5x)+(5+-1)[/tex]
[tex]= -x+4[/tex]
Your club is baking vanilla and chocolate cakes for a bake sale. They need at most 25 cakes. You cannot have more than 10 chocolate cakes. Write a system of inequalities to model this system. Let x be the number of vanilla cakes and y be the number of chocolate cakes.
Answers
The inequalities are x + y <= 15 and y <= 10.
How to express the inequality?It should be noted that inequality are used to how the relationship between expressions that are unequal.
Let x = the number of vanilla cakes.
Let y = the number of chocolate cakes.
They need at most 25 cakes. This will be x + y <= 15.
They cannot have more than 10 chocolate cakes. This will be:
y <= 10.
Therefore, the inequalities are x + y <= 15 and y <= 10.
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3. Mr. Brown bought some new shoes for $76.34. If he paid with $100 bill, how much change did he get?
please explain in number form and as little as possible but still explaining
Answers
Answer:
23.66
Step-by-step explanation:
you just subtract the two.
100.00 - 76.34 = 23.66
455 miles traveled in 7 hours find the unit rate
Answers
Answer:
Step-by-step explanation:
This is a fraction equal to
455 miles ÷ 7 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 7
455 miles ÷ 7
7 hours ÷ 7
=
65 miles
1 hour
=
65 miles
hour
= 65 miles per hour
In which of these pairs of numbers is 2 greater than the first and less than the second? 2.1, 2.3 2, 2 2.7, 3 2 , 2
Answers
Answer: most likely 2,2 I believe
Step-by-step explanation:
Please help 2 questions with details and work out please
Answers
From properties of parallel lines the value of the indicated angle is 84° and the value of x is 4°.
Parallel lines are two lines that are equidistant from one another.
Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross.A line that intersects both the parallel lines is called a transversal.A set of angles on the inner side of each of the two lines but on the opposing sides of the transversal are known as alternate interior angles.Alternate external angles are those outside the two lines that the transversal is intersecting.For the question 7 the two lines are parallel and the indicated angle is an alternate interior angle to the given angle. Hence the indicated angle is also 84°.
For question 8, the two angles are alternate exterior angles.
Hence they are equal. Therefore we can write a linear equation in x to solve for x.
21x+6=90
or, 21x=84
or, x=4°
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Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts
Answers
I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
What is a credit card?The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.
However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.
Now, I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
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PART B ONLY
Given: Evaluate the integral
∫x^12ln(x) dx
Solved: 1/13ln(x)x^13 - 1/169x^13 + C
(b) The application of integration by parts corresponds to applying the product rule to what product: [ ??? ]
Answers
Using integration by parts, the application of integration by parts corresponds to applying the product rule to the product of functions u(x) = ln(x) and v(x) = (x^13)/13.
What is the integration by parts?Integration by parts is similar to the inverse of the product rule, and is given as follows:
[tex]\int u dv = uv - \int v du[/tex]
Hence it is the product of functions u and dv. To identify function u, the precedence is given is as follows:
L: Logarithmic.I: Inverse.A: Arithmetic.T: Trigonometric.E: Exponential.In this problem, we have a logarithmic and an arithmetic function, hence:
Function u is the logarithmic function ln(x).Function g is ∫x^12 dx, hence x^13/13.The application of integration by parts corresponds to applying the product rule to the product of functions u(x) = ln(x) and v(x) = (x^13)/13.
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por que es nesesario expresar un numero mixto como 1 fraccion impropia?
Answers
Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.
¿Qué es un número mixto y una fracción impropia?
En esta pregunta vamos a abordar dos tipos de notación utilizadas entre los números racionales, esto es, números reales de la forma m / n, donde m y n son números enteros y n es distinto de cero.
Tanto los números mixtos como las fracciones impropias son utilizadas para representar números reales mayores que 1, cuyas diferencias se enumeran a continuación:
El número mixto emplea tanto números enteros como fracciones, es de hecho la suma de un número entero y una fracción. (i.e. 1.5 = 1 1 / 2)La fracción impropia es solamente una fracción, en la cual el valor del numerador es mayor que el valor del denominador. (i.e. 1.5 = 3 / 2)Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.
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Which number produces an irrational number when added to 1/3
Answers
Answer: 2pi thats all the answer is
Step-by-step explanation:
i dont have one just enjoy the answer, brainliest please
Find The Value Of X.
Answers
Answer:
X=25.5
Step-by-step explanation:
First we need to apply supplementary angles.
We see that angle EGH is 78 degrees. Since Angle BEC falls on the same line as EGH we can easily calculate the Angle for BEC
Supplementary angles add up to 180. 78+x=180
180-78 is 102
4x=102
divide both sides by 4
x=25.5
Sheila is baking cookies. The radius of each cookie is 4 centimeters.
What is the circumference of each cookie (use 3.14 for pi and round to
the nearest tenth)?
Answers
The circumference of each cookie is 25 cm.
Circumference is usually referred to the outer length of a circle.
If 'r' is the radius of a circle, then the circumference of the circle is given by 2πr, where π = 3.14.
Here, the radius of the each cookie, r = 4 cm
Then the circumference of each cookie = 2πr
= 2 x 3.14 x 4
= 25.12
= 25 cm
[Rounding to the nearest tenth, as 1 and 2 are less than 5, 25.12 will be 25]
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Find the missing side length, s.
help!!
Answers
Answer:
The missing side length is 11.
Step-by-step explanation:
On the smaller figure the AB side is 6 and on the bigger figure the XY side is 9. There was an increase of 3 so that means there will be an increase of 3 on the XZ side compaered to the AC sdie witch is 8. 8 + 3 = 11.
How do you solve for x if x/5 = 7/3
Answers
We get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.
An equation is a combination of two expressions connected by an equal sign.
We are given an equation:
x / 5 = 7 / 3
We need to find the value of x.
Multiply both sides by 5
x / 5 × 5 = 7 / 3 × 5
x = 35 / 3
Now, we will divide 35 by 3 and round off the result to two decimal places:
x = 11.67
Therefore, we get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.
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The complement of an angle is 90 degrees less than the supplement of the angle. What is the angle?
Answers
The angle which is as described in the task content is; 0°.
Complementary and Supplementary anglesIf we assume the angle in discuss is; x.
It's complement is therefore; (90-x).
Therefore, since the complement of the angle is 90° less than the supplement; we have;
90 - x = 180 - 90
90 - x = 90
x = 0°
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in an arcade game, nick can earn up to 10 tickets depending on which slot his coin goes through. if he plays the tournament six times what is the most significant number of tickets nick earn
Answers
Answer:
This answer is most likely 60
Which of the following represents the area of a rectangle whose length is 5x − 3 and whose width is x + 7?
Answers
Solve negative four and one third ÷ two and one fifth.
negative nine and eight fifteenths
negative eight and one fifteenth
negative one and 32 over 33
one and 32 over 33
Answers
Answer:
Step-by-step explanation:
answer b
Answer: Its C not B
Step-by-step explanation:
Please show work, and brainliest will be yours.
Answers
The error that my classmate made was that they should have switched the order around.
Consider the line y=
1
2x+2.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answers
If the equation of a line is [y = (12x + 2)], then the slope of a line parallel to this line will be (Tan θ = 12) and, slope of a line perpendicular to this line will be [Tan θ = [tex](\frac{-1\1}{12})[/tex]].
As per question statement, the equation of a line is [y = (12x + 2)].
We are required to find out the slope of a line parallel to this line and the slope of a line perpendicular to this line.
To solve this question, firstly, we need to know about the standard equation of a line which goes as [tex][y = (mx +c)][/tex] where, "m" is the slope of the line and "c" is the y-intercept.
Comparing our given equation [tex][y = (12x +2)][/tex] with the above mentioned standard equation of [tex][y = (mx +c)][/tex], we get (m = 12) and (c = 2).
Hence, slope of our concerned line is 12. And since slopes of all parallel lines are equal, therefore, the slope of any line parallel to the line [tex][y = (12x +2)][/tex] will be 12 or (Tan θ = 12).
Also, we know that, the product of the slopes of two perpendicular lines, (say m₁ and m₂) is equal to (-1), i.e., [m₁*m₂ = (-1)].
Therefore, the line perpendicular to [tex][y = (12x +2)][/tex] will have a slope of [tex](\frac{-1}{m})[/tex], i.e., ([tex]\frac{-1}{12}[/tex]).
Equation: An equation is a mathematical statement that consists of two separate expressions, connected by an equal signSlope: Slope of a line is defined as the inclination of the line along the positive (x- axis) and is calculated by the formula [tex][m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} ][/tex] where (x₁, y₁) and (x₂, y₂) are two points on the line.To learn more about Slopes (of Lines), click on the link below.
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You buy a carton of milk and two sandwiches for $10.One sandwich costs twice as much as a carton of milk.Your friend buys two cartons of milk and three sandwiches. How much does your friend spend?
Answers
The total amount spent by your friend is $8
How to determine the amount spent by your friend?The given parameters are:
1 carton of milk and 2 sandwiches= $10The cost of 1 sandwich = Twice carton of milkRepresent sandwich with x and carton of milk with y
So, we have
x = 2y
This also means that
y + 2x = 10
Substitute x = 2y in y + 2x = 10
y + 2(2y) = 10
This gives
5y = 10
Divide by 2
y = 2
Recall that:
x = 2y
So, we have
x =2 * 1
x = 2
Your friend's purchase can be represented as:
2y + 3x
This gives
Total = 2 * 1 + 3 * 2
Evaluate
Total = 8
Hence, the amount spent by your friend is $8
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