Answer:
a = 7
b = -10
c = 3
That is all for this question.
I'm very confused about this, please explain this to me.
The angles of the given triangle are 136°,24°, and 20°.
Given that a triangle has angles as 4y°,(y-10)°, and 20° and asked to find out the angles of the given triangle
The sum of the angles of the triangle =180°
⇒4y°+(y-10)° + 20°=180° { adding the given angles and equating it to 180° as the sum of the angles in the triangle is 180°}
⇒5y+10=180°.{added all the given angles and equated it to 180°}
⇒5y=170°
⇒y=34°
⇒4y=136°, (y-10)°=24° and 20°
Therefore the angles of the given triangle are 136°,24°, and 20°.
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ROUND off the answers using the rules for approximate numbers.
Problems: 97.83 - 4.378 + 5.92
and 1,342.8+ 85.32 + 173.54 + 16
The value of the numbers given will be:
1. 108
2. 1618
How to calculate the values?1. The expression given will be calculated as:
= 97.83 - 4.378 + 5.92
= 98 + 4 + 6
= 108
2. 1,342.8+ 85.32 + 173.54 + 16
= 1343 + 85 + 174 + 16
= 1618
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Statistics expert daniel yankelovich believes that ________ give americans a certain amount of self-esteem and a fairly clear idea of who they are.
Statistics expert daniel yankelovich believes that middle-class values give Americans a certain amount of self-esteem and a fairly clear idea of who they are.
Who is a statistician?This is the title that is used to refer to the people that have being trained in such a way that they are able to apply statistical approaches and methods to the real life problems that exists in the environment.
They are known to be able to get the solutions to problems by the use of models of statistics and analyzing them as well.
Hence we can say that Statistics expert daniel yankelovich believes that middle-class values give Americans a certain amount of self-esteem and a fairly clear idea of who they are
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A football team has attempted 6 running plays. The change in field position resulting from each play is shown in the table. What is the average change in field position per running play?
–6 yards per play
–1 yard per play
0 yards per play
1 yard per play
Answer:
-1 yard per play
play 6 - play 3=0
play 2 - play 4=0
play 1 - play 5 = -6
hope it helped
the number of hours it takes for ice to melt varies inversely with the air temperature. suppose a block of ice melts in 2 hours when the temperature is 65 degrees celsius.
The value of the constant of variation is 130
What is constant of variation?Constant of variation can be defined as the ratio between two variables in an inverse variation on a direct variation.
In direct variation equations = k and y = kx, In inverse variation equations xy = k and y = , k is the constant of variation.From the information given, we have that;
The number of hours is x
The temperature is y
x α 1/ y
x = k/y
k = xy
Substitute the values
k = 2 × 65
k= 130
Thus, the value of the constant of variation is 130
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The complete question:
the number of hours it takes for a block of ice to melt varies inversely as the temperature. If it takes 2 hours for a square inch of ice to melt at 65 degrees find the constant of variation
you bought a pair of jeans for $42.95 and a sweater for $36.99 . what was the cash price including a 5% sales tax?
Answer:
Step-by-step explanation:
jeans $42.95
sweater + $36.99
total = $69.94
tax + 5% ($3.497 round to nearest hundredth ($3.50))
total with tax = 73.44
hope this helped!!!! let me know if you need anymore help with this :) have a good day!
Multiple Choice Question.
Show Work Needed.
First of all, every number in each row is odd, so we can eliminate 392 and 394.
The number of elements in each row forms an arithmetic sequence:
• 1st row : 1 element
• 2nd row : 3 elements - and 3 - 1 = 2
• 3rd row : 5 elements - and 5 - 3 = 2
• 4th row : 7 elements - and 7 - 5 = 2
and so on, so that the [tex]n[/tex]-th row has [tex]1 + 2(n-1) = 2n - 1[/tex] elements.
This means that in [tex]n-1[/tex] complete rows, there is a total of
[tex]\displaystyle \sum_{i=1}^{n-1} (2i-1) = n^2 - 2n + 1[/tex]
elements, so that the first element in the subsequent [tex]n[/tex]-th row is the [tex](n^2-2n+2)[/tex]-th number in the sequence {1, 3, 5, 7, …}, i.e the [tex](n^2-2n+2)[/tex]-th odd positive integer. To compute the sum, I use the following well-known formulas.
[tex]\displaystyle \sum_{i=1}^n 1 = n[/tex]
[tex]\displaystyle \sum_{i=1}^n i = \frac{n(n+1)}2[/tex]
Now, the [tex]n[/tex]-th term of the sequence {1, 3, 5, 7, …} is simply [tex]2n-1[/tex], the [tex]n[/tex]-th odd positive integer. So the first element in the [tex]n[/tex]-th row is
[tex]2(n^2-2n+2) - 1 = 2n^2 - 4n + 3[/tex]
and hence the 1st element of the 15th row is
[tex]2\cdot15^2 - 4\cdot15 + 3 = \boxed{393}[/tex]
Awnser for me quickly pleaseee
Answer:
137 ≤ 15x +
Step-by-step explanation:
need some help could someone explain this for me please?
Step-by-step explanation:
it all starts with having a good definition for a
a = 3x + 6
for the definition of b we need to transform the second equation
x = 1/3 b - 2 = b/3 - 2
3x = b - 6
3x + 6 = b
remember, if a = c and b = c, then it must be a = b.
that is the whole principle here. the symmetric property.
I am not sure what you must do here. so you select on the left the number of the step in the proof ?
if so, then
statement reason : number 1
a = 3x + 6 and 3x = b - 6 division : number 2
a = 3x + 6 and -b = -3x - 6 subtraction : number 3
a = 3x + 6 and b = 3x + 6 division : number 4
a = b = 3x + 6 symmetric : number 5
always remember, every change needed on one side of an equation we need to do on both sides, otherwise the equation is destroyed.
number 2 is "division" as division is a form of multiplication (and multiplication a form of division). we are multiplying by 3.
number 3 subtracts b and also 3x.
number 4 divides by -1.
and number 5 is the fished proof as mentioned above.
Harry drove for 3 hours on the freeway, then decreased his speed by 20 miles per hour and drove for 6 more hours on a country road. If his total trip was 483 miles, then what was his speed on the freeway?
Harry's speed on the freeway is 67 miles per hour
Time Harry drove on freeway = 3 hours
Time Harry drove on country road = 6 hours
Total distance covered by him = 483 miles
Let his speed be x miles per hour
Formula to be used:
Speed*Time = Distance
Therefore, the distance covered by him on the freeway = 3x -----(1)
Distance covered by him on country road = 6(x - 20)------(2)
Formulating the equations using (1) and (2)
3x + 6(x-20) = 483
3x + 6x - 120 = 483
9x = 603
x = 67 miles per hour
So, his speed on the freeway is 67 miles per hour and on the country road it is 47 miles per hour
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the life insurance policies of an insurance company are classified by the following:
•Age of Insured:
•Under 25 years,
•Between 25 and 50 years,
•over 50 years old;
•Sex;
•Marital status:
•Single or Married
What is the total number of classications?
Answer:
120
Step-by-step explanation:
in triangle abc, angle b is 120∘ . it contains bisectors aa1, bb1 and cc1. prove that the angle a1b1c1 is 90∘
The triangle formed by the feet of angle bisectors of a triangle with a single angle measure of 120° is the Right Triangle.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.So,
In triangle ABC, ∠A = 120°.
Let AD, BE, and CF be the respective angle bisectors of A, B, and C.AC in ABD is the exterior angles bisector (as DAC=CAX=60°).BE is the internal angle bisector that meets at E. E is the ex-center of ABCD.As a result, DE is the exterior angle bisector of ABCD.
Then, ADE=EDC, and ADC=2ADE.Similarly, for the ABC, F is ex-center because AB is the exterior angle bisector and CF is the interior angle bisector.
As a result, DF is the exterior angle bisector.
∠ADF = ∠FDB, ∠BDA = 2∠ADFBC is a straight line.
∠BDA+∠ADC=180°2∠ADF+2∠ADE=180°∠ADF+∠ADE=90°So, DEF is the right triangle.
As a result, the triangle formed by the feet of angle bisectors of a triangle with a single angle measure of 120° is the Right Triangle.
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The correct form of the question is given below:
Prove in any ΔABC, if one angle is 120°, the Δ formed by the feet of the angle bisectors is right-angled.
what is the product of 2x-5 and 3x+4? A. 5x - 1 B.6x² - 7x- 20 C.6x² - 20 D. 6x² + 7x - 20
Answer:
B. 6x²-7x-20
Step-by-step explanation:
(2x-5)(3x+4)
2x(3x+4)-5(3x+4)
Use distributive property.
6x²+8x-15x-20
Combine like terms.
6x²-7x-20
Hope this helps!
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-18 ≤26-8<-8
How do I solve?
I don't think you can solve this, considering the given expression is false. However consult a tutor perhaps and see if they can help you further.
Is 0. 19
a rational or irrational? Explain
Answer:
It's rational, because it can be converted into a reasonable fraction.
➯ Hope this helps!
If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a dictionary, what is the probability that:________
The probability that:
a dictionary is selected = [tex]\frac{1}{9}[/tex]two novels and a book of novels is selected = [tex]\frac{5}{14}[/tex]What is probability?Probability refers to the possibility of the occurrence of an event.
P(E) = probability of occurrence of an event E = [tex]\frac{Number Of Favourable Outcomes}{Total Number Of Outcomes}[/tex]
Now,
(a) Total number of books = 5 + 3 + 1 = 9
Probability of getting a dictionary = [tex]\frac{1}{9}[/tex]
(b) Number of ways to select 3 books out of 9 books = [tex]\binom{9}{3}[/tex] = [tex]\frac{9!}{3!(6!)} = \frac{9\times\ 8 \times 7}{6}[/tex] = 84
Number of ways to select 1 out of 3 books of poems = [tex]\binom{3}{1} = \frac{3!}{2!}[/tex] = 3
Number of ways to select 2 out of 5 novels = [tex]\binom{5}{2} = \frac{5!}{2! 3!} = \frac{5\times 4}{2} = 10[/tex]
Thus, the probability of getting 2 novels and 1 book of poem = [tex]\frac{3\times10}{84} = \frac{10}{28} = \frac{5}{14}[/tex]
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(COMPLETE QUESTION:
If three books are picked at random from a shelf containing 5 novels, 3 books of poems, and a dictionary, what is the probability that (a) a dictionary is selected? (b) 2 novels and 1 book of poems are selected?)
determine whether each first-order differential equation is separable, linear, both, or neither. choose one 1. choose one 2. choose one 3. choose one 4. note: you only have two attempts at this problem.
The first-order differential equation is non-separable and non-linear.
[tex]\frac{dx}{dy} +e^{x} y=x^{2} y^{2}[/tex]
[tex]\frac{1}{y^{2} } \frac{dx}{dy} +e^{x} \frac{1}{y} =x^{2}[/tex]
[tex]\frac{dt}{dx} -e^{x} t = -x^{2}[/tex]
Since, x and y terms separated also linear equation
linear and separable both
[tex]\frac{dy}{dx} = cos y = tan x[/tex]
non-linear and non-separable
What distinguishes a linear equation from a non-linear equation?
Something that is linear is related to a line. A line is built using all of the linear equations. A non-linear equation is one that cannot be represented by a straight line. It has a changeable slope value and resembles a graphed curve.
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The data measured on ordinal scale exhibits all the properties of data measured on? nominal scale. nominal and interval scales. interval scale. ratio scale.
The data measured on ordinal scale exhibits all the properties of data measured on nominal scale.
What is nominal scale?A nominal scale can be described as the scale of measurement which is been assign events or objects with respect to a discrete categories.
However in relation with nominal scale, Ordinal scale serves as the 2nd level of measurement which help to give the reports of ranking as well as ordering of the data however the degree of variation is not usually considered, hence data measured on ordinal scale exhibits all the properties of data measured on nominal scale.
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five times square of a number is equal to 45
Answer:
x can be -3, or +3
Step-by-step explanation:
The equation would be
5[tex]x^{2}[/tex] = 45
Divide both sides by 5
[tex]x^{2}[/tex] = 9
Take the square root of both sides
x = ± 3
Halle el resultado de:
pls ayuda necesito hacer esta tarea :c
Usando la propiedad exponencial, hay que el resultado es: 125/64.
¿Cómo aplicar la propiedad exponencial?Con el expoente negativo, hay que:
[tex]\left(\frac{a}{b}\right)^{-x} = \left(\frac{b}{a}\right)^{x}[/tex]
Así, la expresion equivalente es dada por:
[tex]\left(\frac{16}{25}\right)^{-\frac{3}{2}} = \left(\frac{25}{16}\right)^{\frac{3}{2}}[/tex]
Hay que 25 = 5² y 16 = 4², así:
[tex]\left(\frac{25}{16}\right)^{\frac{3}{2}} = \left(\frac{5^2}{4^2}\right)^{\frac{3}{2}} = \left(\frac{5}{4}\right)^3 = \frac{125}{64}[/tex]
Así, hay que el resultado es: 125/64.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Royston is driving to a popular amusement park with his family. Royston’s car had 1515 gallons of gas at the start of the trip. During the trip, he stopped at a gas station and refueled the car with 535 gallons. If the car consumed 1745 gallons of gas during the trip, there are still gallons of gas remaining in the tank. 100 points
Answer: 3 gallons of gas left
Step-by-step explanation: since the car started out with 15 1/5 and then fills up 5 3/5 now there is 20 4/5 in the car then since the car consumed 17 4/5 just subtract the 17 4/5 from 20 4/5 and then you get 3 gallons left since 17 - 20 = 3 and 4/5 - 4/5 = 0/0 or 0 the answer is just 3 gallons left
Answer: it is 3 gallons
Step-by-step explanation:
what is the perimeter of a triangle with the points (-9,4) (7,4) and (7, -8)
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-9}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{7}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{(~~ 7- (-9)~~)^2 + (~~ 4- 4~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 16)^2 + ( 0)^2}\implies \boxed{AB=16} \\\\\\ B(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{7}~,~\stackrel{y_2}{-8}) ~\hfill BC=\sqrt{(~~ 7- 7~~)^2 + (~~ -8- 4~~)^2}[/tex]
[tex]~\hfill BC=\sqrt{( 0)^2 + ( -12)^2}\implies \boxed{BC=12} \\\\\\ C(\stackrel{x_1}{7}~,~\stackrel{y_1}{-8})\qquad A(\stackrel{x_2}{-9}~,~\stackrel{y_2}{4}) ~\hfill CA=\sqrt{(~~ -9- 7~~)^2 + (~~ 4- (-8)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -16)^2 + (12)^2}\implies CA=\sqrt{400}\implies \boxed{CA=20} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Perimeter}{16~~ + ~~12~~ + ~~20\implies \text{\LARGE 48}}[/tex]
lf m/1 = 2x + 3, and m/2 = 3x + 7, which is the value of x?
The value of x is -(11/7).
This problem is related to solving an algebraic equation.
In algebra there are many types of equations such as linear equation in one variable and two variable.
Here we have been given two variables and two equations which means we can solve the equation. To solve an equation in algebra it is important that the number of unknowns is equal to the number of equations given.
Given, m/1=2x+3 i.e., m=2x+3
also m/2=3x+7 i.e., m=6x+14
Now equating both the values of m;
2x+3=6x+14
⇒6x-2x=3-14
⇒4x=-11
∴ x= -(11/4)
Hence, the value of x is -11/4.
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A month is chosen at random,
then a standard die is rolled.
What is the probability of getting
February, then a number less
than 5?
The probability of getting February, then a number less than 5 is:
P = 1/18
How to find the probability?First, we need to find the two individual probabilities:
We have a total of 12 months, and we assume that the probability for each of these is the same one, then the probability of getting February will be:
p = 1/12.
Now, the standard die has 6 sides, the numbers that are less than 5 are:
{1, 2, 3, 4}
So 4 out of the 6 outcomes are less than 5, then the probability here is:
q = 4/6 = 2/3.
Then the joint probability is:
P = p*q = (1/12)*(2/3) = 2/36 = 1/18
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with show work needed. a and b.
a)
Solution,
Given,
Cost for 1 pen = $ 1.50
= 1.50×100 cents
= 150 cents
Cost for 1 ruler = 80 cents
No. of Pens needed to be bought = x
No. of rulers needed to be bought = x+10
Now,
Cost for x pens = x×150 cents
= 150x cents
Cost for (x+10) rulers = (x+10)×80 cents
= 80x cents+800 cents
Then,
Total cost = 150x cents+(80x cents+800 cents)
= 150x cents+80x cents+800 cents
= 230x cents+800 cents
= $(230x ÷ 100)+$(800 ÷ 100)
= $2.3x + $8
Therefore,Louise spent $2.3x and $8 as total amount
b)
Sorry,I dont know inequality
Find the 59th term of the arithmetic sequence 29, 37, 45, ...
Answer:
AP = 29,37,45,...
d= t2-t1
=37-29
=8
n=59
t59=?
tn=a+(n-1)d
t59=29+(59-1)8
t59=28+58×8
t59=28 + 464
t59=492
Step-by-step explanation:
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solve the equation x/3-6=5
Answer: x= 33
Step-by-step explanation: hope this helps!!!
pete seria also offers pizza pies with a choice of any of 4 toppings: pepperoni, mushrooms, green peppers, or sausage. how many different pizzas can you make with anywhere from 0 to 4 toppings (assume each pizza can have at most 1 serving of each topping, e.g. no "double pepperoni" on the pizza)?
There are 256 different pizzas can you make with anywhere from 0 to 4 toppings.
Combinations:
Combinations defines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given,
Pizza pies with a choice of any of 4 toppings: pepperoni, mushrooms, green peppers, or sausage.
Here we need to find how many different pizzas can you make with anywhere from 0 to 4 toppings.
Here we need to assume that each pizza can have at most 1 serving of each topping.
Here we have four level of toppings like no serving, single serving, double serving and triple serving.
Suppose you had one topping, let's say mushrooms. How many different possible pizzas would there be?
If you understand the setup right, there would be 4: no topping, single mushrooms, double mushrooms, or triple mushrooms.
Similarly, imagine that there are two toppings, mushrooms and sausage.
Then, there are 4 x 4 = 16 different combinations with two items.
We could continue this for a long time.
If you have only sausage, mushroom, pepperoni and onion, then for a total of
=> 4 x 4 x 4 x 4 = 256 combinations.
Therefore, there are 256 different pizzas can you make with anywhere from 0 to 4 toppings.
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A new Community Sports Complex is being built in Del Rio. The perimeter of the rectangular playing field is 528 yards. The length of the field is 6 yards less than quadruple the width. What are the dimensions of
the playing field?
The width is yards.
The length is yards.
Save
The dimensions of the playing field the width is 54 yards and the length is 210 yards.
Given that the perimeter of the rectangular playing field is 528 yards and the length of the field is 6 yards less than quadruple the width.
Let the width of the rectangular playing field is x yards and it is given that the length of the field is 6 yards less than quadruple the width means the length is 4x-6.
As we know that the perimeter of the rectangle is two times the sum of length and breadth so.
P=2(l+w)
As it is given that the perimeter is 528 yards.
So, we will substitute all the values in the formula, we get
528=2(4x-6+x)
528=2(5x-6)
528=10x-12
528+12=10x-12+12
540=10x
540/10=10x/10
54=x
Now, substitute this values in l=4x-6 to find the length, we get
l=4(54)-6
l=216-6
l=210
Hence, the dimension of the playing field when the perimeter of the rectangular playing field is 528 yards is width is 54 yards and length is 210 yards.
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A bike wheel.
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
Answer: BABABAB
Step-by-step explanation:
BHBAHBABAHBABHABHBAHBABHABHBAbhaBHBA