Answers
Answer: 1080 degrees
Hoped this helped :)
Related Questions
after allowing 20%discount on the m.p of a mobile,15% vat was levied and sold it.If the differences between selling price with vat and selling price after discount is rs.1800,find the marked price of the mobile
Answers
Answer:
Market price = Rs. 15,000
Step-by-step explanation:
Let Market price = x
discount = 20% of x
= 0.20 *x = 0.2x
Selling price after discount = x - 0.2x = 0.8x
Value added tax = 15% of 0.8x
= 0.15 * 0.8x
= 0.12x
Selling price with VAT = 0.8x + 0.12x = 0.92x
Differences between SP with vat and SP after discount = rs.1800
0.92x - 0.8x = 1800
0.12 x = 1800
x = 1800/0.12
x = Rs. 15,000
Ten turns of a wire are helically wrapped around a cylindrical tube with outside circumference 4 inches and length 9 inches. The ends of the wire coincide with ends of the same cylindrical element. Find the length of the wire. (a) 41 inches (b)36 inches (c) 40 inches (d) 90 inches
Answers
Answer:
b) 36 inches
Step-by-step explanation:
Length of the wire = Outside circumference of the cylindrical tube * length of the cylinder
= 4 * 9
= 36 inches
Length of the wire will be same to the surface area of the cylinder
Surface area of cylinder = circumference * length
Find the eigenvalues and eigenvectors of A geometrically over the real numbers ℝ. (If an eigenvalue does not exist, enter DNE. If an eigenvector does not exist, enter DNE in any single blank.) A = 0 −1 1 0 (counterclockwise rotation of 90° about the origin)
Answers
Answer:
The eigen values obtained are not real and thus according to the notation in the question, the eigen values DNE in R
Step-by-step explanation:
Here, we are to find the eigen value and the eigen vector of matrix A over the real numbers R
Please kindly check attachment for complete solution and explanation
In how many ways can 6 commercials be played in 6-time slots in a 1-hour program?
Answers
Answer:
6
Step-by-step explanation:
I think the answer is 6
In a local town, 54,000 families have incomes less than $25,000 per year. This number of families is 60% of the families that had this income level 12 years ago. What was the number of families who had incomes less than 25,000 per year 12 years ago
Answers
Answer: 90,000
Step-by-step explanation:
From the question, we are informed that in a local town, 54,000 families have incomes less than $25,000 per year. We are further told that this number of families is 60% of the families that had this income level 12 years ago.
To calculate the number of families who had incomes less than 25,000 per year 12 years ago goes thus:
Let the the number of families who had incomes less than 25,000 per year 12 years ago be represented by x.
Since we are told that this number of families is 60% of the families that had this income level 12 years ago. This means that:
60% of x = 54,000
60/100 × x = 54,000
0.6 × x = 54,000
0.6x = 54,000
Divide by 0.6
0.6x/0.6 = 54000/0.6
x = 90,000
The number of families who had incomes less than 25,000 per year 12 years ago was 90,000.
in which table does y vary inversely with x?
Answers
Answer:
Table B
Step-by-step explanation:
Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:
In table C:
As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.
In table D:
As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.
We are left with options A and B
If y varies inversely as x, the following relationship must hold:
[tex]y \alpha \frac{1}{x}\\y = \frac{k}{x}[/tex]
Where k is a constant of proportionality
considering option B:
When x = 1, y = 36
36 = k/1
k = 36 * 1
k = 36
when x = 2, y = 36/2
y = 18
when x = 3, y = 36/3
y = 12
These tally with all that is indicated in the table. Option B is an inverse variation
For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid? |323 – 50| = x |323 + 50| = x |x – 323| = 50 |x + 323| = 50
Answers
Answer:
Mark as BRAINLIEST plz
|x-323|<50: answer
Step-by-step explanation :
For water to be a liquid, the temperature must be within 50 Kelvin of 323 K.
So, the range of the temperature of water will lie between 50 kelvin more than 323 kelvin and 50 kelvin less than 323.
The equation that can be used to determine the maximum temperature at which water is a liquid can be given by : x < 323 + 50
The equation that can be used to determine the minimum temperature at which water is a liquid can be given by : x > 323 - 50
So the resultant equation can be written as :
|x-323|<50
The solution of inequality equation is | x - 323 | < 50
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the temperature of the water be = x Kelvin
Now , the equation will be
For water to be in the liquid state, the temperature must be within 50 kelvin (K) of 323 K
So , the value of the temperature of water will lie between 50 kelvin more than 323 kelvin and 50 kelvin less than 323
Substituting the values in the inequality equation , we get
For maximum temperature ,
x should be 50 more than 323 and
For minimum temperature ,
x should be 50 less than 323
So ,
The inequality relation is
x > 50 + 323 be equation (1)
x < 323 - 50 be equation (2)
So , the modulus function is expressed as
It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
Therefore , the value is | x - 323 | < 50
Hence , The solution of inequality equation is | x - 323 | < 50
To learn more about inequality equations click :
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Which of the following shows the polynomial below written in descending order ?
Answers
Answer:
A. 4x¹¹ + x⁷ + 3x³ - 5x + 9
Step-by-step explanation:
order the exponents from largest to smallest. variables always come first; therefore, -5x before 9
1) In rectangle ABCD, AE is perpendicular on diagonal BD, BE=3DE and AC∩BD={O}.
1. DE/EO=?
2. If BD=8√2 inches, find out the lenght of AE
3. Calculate the measure of angle AOD.
2) In rectangle MNPQ, MA⊥NQ, A∈NQ, MA∩PQ={B}. If AN measures 12 inches, AQ=27 inches, calculate the lenght of MA and MB.
Please help me with these. Or at least with one of them.
Answers
Answer:
to be honest I'm not sure how to do
I need an answer asap. I really would like some help with this
Answers
Answer:
(x + 4)² + (y + 1)² = 4
Step-by-step explanation:
From the graph attached,
Extreme ends of the diameter of the circle,
(-4, 1) and (-4, -3)
Center of the circle = Midpoint of the diameter
Center = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4-4}{2},\frac{1-3}{2})[/tex]
= (-4, -1)
Radius of the circle = Distance between the center and extreme end
= 2 units
Since standard equation of the circle is,
(x - h)² + (y - k)² = r²
where (h, k) is the center and 'r' is the radius of the circle
By substituting the values in the standard equation,
(x + 4)² + (y + 1)² = 2²
(x + 4)² + (y + 1)² = 4
HELPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
1) A'(8, -10)
B'(10, -8)
C'(2, -4)
2) A''(8, -4)
B''(10, -6)
C''(10, -10)
Step-by-step explanation:
1) For reflection across the line y = -1, given that the lowest point is of ABC which is point C with coordinates (2, 2), we have;
The vertical distance from the point C to the line y = -1 is 3 units down, therefore, the coordinate of the reflection of C will be 3 units below the line y = -1 at C'(2, -4)
The coordinates of the point A(8, 8) will be A'(8, -10)
The coordinate of the point B(10, 6) will be B'(10, -8)
2) Given that we have A'(8, -10), B'(10, -8), and C'(2, -4), we have reflection over y = -7, we have;
The coordinates of the point A'(8, -10) will be A''(8, -4)
The coordinate of the point B'(10, -8) will be B''(10, -6)
The coordinate of the point C'(2, -4)will be C''(10, -10)
Which gives, a total translation of -12 units down as follows;
A''(8, -4) - A(8, 8) = (0, -12)
B(10, 6) - B''(10, -6) = (0, -12)
C(2, 2) - C''(10, -10) = (0, -12).
HALP !Find the next term of the series: -3 + -1 + 1 + ...
Answers
Answer:
3
Step-by-step explanation:
We are adding 2 each time
-3 +2 = -1
-1 +2 = 1
To get the next term add 2
1 +2 = 3
Answer: 3
Step-by-step explanation:
What the correct answer now
Answers
Answer:
11
Step-by-step explanation:
The Law of Cosines is useful when you have two sides of a triangle and the angle between.
v^2 = w^2 +u^2 -2wu·cos(V)
v^2 = 6^2 +16^2 -2·6·16·cos(27°)
v^2 = 292 -171.0733
v ≈ 10.9966
v ≈ 11
5.
Evaluate x(-y + z) for x = 3, y = 3, and z = 1.
10
-8
12
-6
Answers
Answer:
-6
Step-by-step explanation:
x(-y + z)
Let x= 3 y =3 and z =1
3( -3+1)
Parentheses first
3 ( -2)
Then multiply
-6
Answer:
Hello! The answer to your question is -6
Steps will be provided below.
Step-by-step explanation:
This is how to solve your question:
Question:
Evaluate x(-y + z) for x = 3, y = 3, and z = 1.
Answer and how to solve:
The answer is -6 because....
If you do the steps correctly it will be...
Do the Parentheses first.
3x-(2)
Now you just multiply and you will get your answer.
Which will give you -6
SO THE ANSWER TO YOUR QUESTION IS -6
⭐️Hope this helps! :) ⭐️
Have a wonderful day! :D
Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Round all answers using one decimal place.
Answers
Answer:
[tex]Side\ B = 6.0[/tex]
[tex]\alpha = 56.3[/tex]
[tex]\theta = 93.7[/tex]
Step-by-step explanation:
Given
Let the three sides be represented with A, B, C
Let the angles be represented with [tex]\alpha, \beta, \theta[/tex]
[See Attachment for Triangle]
[tex]A = 10cm[/tex]
[tex]C = 12cm[/tex]
[tex]\beta = 30[/tex]
What the question is to calculate the third length (Side B) and the other 2 angles ([tex]\alpha\ and\ \theta[/tex])
Solving for Side B;
When two angles of a triangle are known, the third side is calculated as thus;
[tex]B^2 = A^2 + C^2 - 2ABCos\beta[/tex]
Substitute: [tex]A = 10[/tex], [tex]C =12[/tex]; [tex]\beta = 30[/tex]
[tex]B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30[/tex]
[tex]B^2 = 100 + 144 - 240*0.86602540378[/tex]
[tex]B^2 = 100 + 144 - 207.846096907[/tex]
[tex]B^2 = 36.153903093[/tex]
Take Square root of both sides
[tex]\sqrt{B^2} = \sqrt{36.153903093}[/tex]
[tex]B = \sqrt{36.153903093}[/tex]
[tex]B = 6.0128115797[/tex]
[tex]B = 6.0[/tex] (Approximated)
Calculating Angle [tex]\alpha[/tex]
[tex]A^2 = B^2 + C^2 - 2BCCos\alpha[/tex]
Substitute: [tex]A = 10[/tex], [tex]C =12[/tex]; [tex]B = 6[/tex]
[tex]10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha[/tex]
[tex]100 = 36 + 144 - 144 *Cos\alpha[/tex]
[tex]100 = 36 + 144 - 144 *Cos\alpha[/tex]
[tex]100 = 180 - 144 *Cos\alpha[/tex]
Subtract 180 from both sides
[tex]100 - 180 = 180 - 180 - 144 *Cos\alpha[/tex]
[tex]-80 = - 144 *Cos\alpha[/tex]
Divide both sides by -144
[tex]\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}[/tex]
[tex]\frac{-80}{-144} = Cos\alpha[/tex]
[tex]0.5555556 = Cos\alpha[/tex]
Take arccos of both sides
[tex]Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)[/tex]
[tex]Cos^{-1}(0.5555556) = \alpha[/tex]
[tex]56.25098078 = \alpha[/tex]
[tex]\alpha = 56.3[/tex] (Approximated)
Calculating [tex]\theta[/tex]
Sum of angles in a triangle = 180
Hence;
[tex]\alpha + \beta + \theta = 180[/tex]
[tex]30 + 56.3 + \theta = 180[/tex]
[tex]86.3 + \theta = 180[/tex]
Make [tex]\theta[/tex] the subject of formula
[tex]\theta = 180 - 86.3[/tex]
[tex]\theta = 93.7[/tex]
how to do this question plz
Answers
Answer:
[tex]=3/4[/tex]
Step-by-step explanation:
[tex]\frac{4\sqrt{18}}{16\sqrt{2}}[/tex]
First, simplify the fraction:
[tex]=\frac{\sqrt{18}}{4\sqrt2}[/tex]
Now, simplify the radical in the numerator (the radical in the denominator cannot be simplified:
[tex]\sqrt{18}=\sqrt{9\cdot2}=\sqrt{9}\cdot\sqrt{2}=3\sqrt{2}[/tex]
Substitute:
[tex]=\frac{3\sqrt{2}}{4\sqrt{2}}[/tex]
The radicals cancel:
[tex]=3/4[/tex]
Find side AC and round your answer to the nearest hundredth, help please.
Answers
Answer:
Step-by-step explanation:
Side AC is the side opposite the reference angle of 70 degrees while side BC is the side adjacent to the reference angle. AB is the hypotenuse since it is across from (or opposite) the right angle. The trig ratio that uses the sides opposite from and adjacent to the reference angle is the tangent. Setting up to solve for AC:
[tex]tan(70)=\frac{?}{3}[/tex] and
3tan(70) = ? so
? = 8.24
A local high school has 1250 students in grades 9 through 12. Twenty-eight percent of the students in the school are in the ninth grade. One-half of the ninth-grade students ride the bus to school. How many ninth-grade students ride the bus?
Answers
Answer:175
Step-by-step explanation:
1. Turn 28% into a decima: 0.28
2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350
3. Half the amount of ninth grade students:175
Answer:
The answer is 175
Step-by-step explanation:
Because I read the problem carefully and identified that the explanation is way too long so I am gonna make this short and easy for you. I am correct, just Trust me :)
 Shelby baked 48 cookies with 6 scoops of flower. how many scoops of flour does Shelby need in order to bake 64 cookies? Solve using unit rates.
Answers
Answer:
8 scoops of flour
Step-by-step explanation:
It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.
So first, do 6/48, which is 1/8.
It takes 1/8 scoop of flour to bake one cookie.
Unit rate: 1/8 scoop of flour per cookies.
Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.
Shelby needs 8 scoops of flour to bake 64 cookies
A movie theater sells up to 10 tickets at a time online. what is the domain of this graph?
Answers
Answer:
i will say c
Step-by-step explanation:
c
Answer:
B. Whole numbers from 0 to 10
Step-by-step explanation:
this is a dot graph, so only those dots, whole numbers of tickets, are valid input, that is, domain of the graph.
Be nice and answer my question
Answers
Answer:
look below
Step-by-step explanation:
hi
Any answers on this?
Answers
Answer:
40
Step-by-step explanation:
We're given an angle that forms a linear pair, and we're given an isosceles triangle. The angle to the right of 110 is 70, since they have to add up to 180. Since this is an isosceles triangle (denoted by the two dashes), we know that the other base angle has to be 70. 70 + 70 = 140; all angles add up to 180 so 180 - 140 = 40 degrees.
Answer:
40 degrees
Step-by-step explanation:
Since this is an isosceles triangle the 2 bottom angles are congruent
The bottom angles will be 70 degrees bc the exterior angle is 110 and 180-110=70
Because a triangle adds up to 180 degrees you need to use the equation 70 + 70 + x = 180 and you should get x = 40 degrees
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 16 in. long and 6 in. wide, find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.)
Answers
Answer:
x=3.00 or x= 8.00
Explanation:
Let us denote side of the cut-out square as x inches
Then base of box = 16-2x by 6-2x
The volume = V = (16-2x)(6-2x)
= 96-3x-12x+4x
dV/dx = 96-44x+4x^2
= 0 for a max V
divide by 4
X^2 -11x +24=0
Using quadratic formula to solve the equation
X= (11± √11^2-(4×1×24)/2
(11± √25)/2
x= 3 or 8inches
From the equation of volume = V = x(16-2x)(6-2x)
Substitute
let x = 3 , V = 3(16-6)(6-6) = 0
let x = 8 , V = 8(16-16)(6-16) = 0
Therefore, the maximum volume exist at both point x=3 or x= 8
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1650 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week? Firstcar:gallons= Secondcar:gallons=
Answers
Answer:
First car: 30 gallons
Second car: 35 gallons
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
Total gas consumption was 65:
x+y=65
Where:
x = gallons consumed by the first car
y = gallons consumed by the second car
The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas, the two cars went a combined total of 1650 miles:
x 20+y 30 = 1650
The system is:
x+y=65 (1)
x 20+y 30 = 1650 (2)
Isolating y on (1)
y = 65-x
Replacing y= 65-x on (2):
x 20+(65-x)30 = 1650
20x +1,950-30x= 1650
20x-30x= 1650-1950
-10x= -300
x= -300/-10
x = 30 gallons
Back to (1)
y =65-x
y =65-30
y= 35 gallons
Feel free to ask for more if needed or if you did not understand something.
Suppose the probability that a randomly selected man, aged 55 - 59, will die of cancer during the course of the year is StartFraction 300 Over 100 comma 000 EndFraction . How would you find the probability that a man in this age category does NOT die of cancer during the course of the year?
Answers
Answer:
The probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
Step-by-step explanation:
Suppose the probability of an event occurring is [tex]P_{i}[/tex].
The probability of the given event not taking place is known as the complement of that event.
The probability of the complement of the given event will be,
[tex]1 - P_{i}[/tex]
In this case an events X is defined as a man, aged 55 - 59, will die of cancer during the course of the year.
The probability of the random variable X is:
[tex]P (X) = \frac{300}{100000}=0.003[/tex]
Then the event of a man in this age category not dying of cancer during the course of the year will be complement of event X, denoted by X'.
The probability of the complement of event X will be:
[tex]P(X')=1-P(X)[/tex]
[tex]=1-0.003\\=0.997[/tex]
Thus, the probability that a man in this age category does NOT die of cancer during the course of the year is 0.997.
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
Answers
Answer:
The triangle has two sides that are equivalent and the angle where the two meet are also equivalent.
In other words, two sides and the angle between them are congruent.
Hope this helps, if it does please give me brainliest, it will help me a lot :)
Have a good day
Answer:
A on edge
Step-by-step explanation:
The variables m and n are inversely correlated. When m = 22, n = 51. What is m when n = 6?
Answers
Answer:
m = 187
Step-by-step explanation:
Given m and n are inversely correlated then the equation relating them is
m = [tex]\frac{k}{n}[/tex] ← k is a constant
To find k use the condition when m = 22, n = 51
22 = [tex]\frac{k}{51}[/tex] ( multiply both sides by 51 )
1122 = k
m = [tex]\frac{1122}{n}[/tex] ← equation of correlation
When n = 6, then
m = [tex]\frac{1122}{6}[/tex] = 187
The value of m will be equal to 187 when both the numbers are an inverse function of each other.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that m and n are inversely correlated then the equation relating them is
m = K / n ← k is a constant
To find k use the condition when m = 22, n = 51
22 = k / 51 ( multiply both sides by 51 )
1122 = k
m = 1122 / n ← equation of correlation
When n = 6, then
m = 1122 / 6 = 187
Therefore, the value of m will be equal to 187 when both the numbers are an inverse function of each other.
To know more about expression follow
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Consider the right triangle. Determine whether each equation is correct. Select yes or no for each question.
Answers
Step-by-step explanation:
Given
Opp=8
Adj=6
Hyp=10
Answer
1)Sin<A=Opp/Hyp
8/10=4/5... Yes
2)Cos<A=Opp/Adj
8/6=4/3... No
Given
Opp=6
Adj= 8
Hyp= 10
Answer
1)Sin<B= Opp/Hyp
6/10=3/5... No
2)Cos<B= Opp/Adj
6/8=3/4... No
Hope this helps ❤❤❤
The ratio of Ed’s cars to Pete’s cars was 5:2 at first. After Ed gave 30 cars to Pete, they had an equal amount of cars each. How many cars did they have altogether?
Answers
Answer:
Step-by-step explanation:
The two have a total of 5+2 = 7 "ratio units" so have a total of 140 cars.
can you mark me as brainliest?
Find the value.
9x+6 when x=-2/3
Answers
Answer:
0Step-by-step explanation:
Given,
[tex] - \frac{2}{3} [/tex]
Now, let's find the value of 9x + 6
[tex]9x + 6[/tex]
plug the value of X
[tex] = 9 \times (- \frac{2}{3} ) + 6[/tex]
Multiplying a positive and negative equals a negative
[tex]( + ) \times ( - ) = ( - )[/tex]
[tex] = - 9 \times \frac{2}{3} + 6[/tex]
Reduce the number with Greatest Common Factor 3
[tex] = - 3 \times 2 + 6[/tex]
Multiply the numbers
[tex] = - 6 + 6[/tex]
The sum of two opposites equals 0
[tex] = 0[/tex]
Hope this helps..
best regards!!