explain the polar form in mathematical terms ....... right answer will be mark as brainliest
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Related Questions
On a map, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles. What scale was used to create the map
Answers
Answer:
See below
Step-by-step explanation:
210 miles / 5 inches = 42 miles per inch ( 1 inch = 42 miles)
Can someone please find the step by step solution for this question thank you
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The expression of the length of the arc is 4πb⁵
How to find the length of arc?The circle has a radius of 9b³. An arc subtend an angle at the centre of 80b² degrees. Therefore, the expression for the length of the arc can be solved as follows:
length of arc = ∅ / 360 × 2πr
where
r = radius∅ = central angleTherefore,
length of arc = 80b² / 360 × 2 × π × 9b³
length of arc = 144b⁵π / 36
Therefore,
length of arc = 4πb⁵
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In a skewed distribution, if Mean=10.5, Mode=15. Find Median?
Answers
Answer:
12
Step-by-step explanation:
mean - median = 1/3(mean - mode)
10.5 - median = 1/3(10.5 - 15)
10.5 - median = - 1.5
median = 10.5 + 1.5 = 12
The rectanglar prism shown be formed from small cubes with side length of 1/4 centimeter
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The Volume of rectangular prism is A) \(1\frac{9}{16}\) cm.
What is volume of rectangular prism?
The space taken up by any three-dimensional solid constitutes a volume, to put it simply. A cube, cuboid, cone, cylinder, or sphere can be one of these solids. Cubic units are used to measure the volume of solids. The volume will be given in cubic metres, for instance, if the dimensions are given in metres.
The Volume of rectangular prism formula is calculated by multiplying the length , breadth and height,
Volume of rectangular prism = length*breadth*height
Now in the given prism is combined by small cubes.
side length of a small cube s = \(\frac{1}{4}\) cm
Now Length of rectangular prism = s+s+s+s+s = 5s=\(\frac{5}{4}\) cm
Breadth of rectangular prism = s+s+s+s+s= 5s =\(\frac{5}{4}\) cm
Height of the rectangular prism = s+s+s+s= 4s = 1 cm.
Then Volume of rectangular prism = \(\frac{5}{4}\times\frac{5}{4}\times1\) = \(\frac{25}{16}=1\frac{9}{16}\) cm.
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A bicyclist is at point A on a paved road and must ride to point C on another paved road. The two roads meet at
an angle of 38° at point B. The distance from A to B is 18 mi, and the distance from B to C is 12 mi (see
the figure). If the bicyclist can ride 22 mph on the paved roads and 6.8 mph off-road, would it be faster for the bicyclist to ride from A to C on the paved roads or to ride a direct line from A to C off-road? Explain.
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Answer:
Step-by-step explanation:
The diagrammatic expression to understand this question very well is attached in the image below.
By applying the law of cosine rule; we have:
a² = b² + c² - 2bc Cos A --- (1)b² = a² + c² - 2ac Cos B --- (2)c² = a² + b² - 2ab Cos C --- (3)From the diagram attached below, we need to determine the side "b" by using equation (2) from above:
b² = a² + c² - 2ac Cos B
From the information given:
a = 12 miles; c = 18 miles; ∠B = 38°
∴
replacing the values into the above equation:
b² = 12² + 18² - 2(12)(18) Cos (38°)
b² = 144 + 324 - 432 × (0.7880)
b² = 468 - 340.416
b² = 127.584
\(b = \sqrt{127.584}\)
b = 11.30 miles
However, we are also being told that the speed from A → C = 6.8 mph
Thus, the time required to go from A → C can be determined by using the relation:
\(\mathbf{speed = \dfrac{distance}{time}}\)
making time the subject of the formula, we have:
\(\mathbf{time= \dfrac{distance}{speed }}\)
\(\mathbf{time= \dfrac{11.30}{6.8}}\)
time = 1.66 hours
By using the paved roads, the speed is given as = 22 mph
thus, the total distance covered = |AB| + |BC|
= (18+12) miles
= 30 miles
∴
\(\mathbf{time= \dfrac{distance}{speed }}\)
\(\mathbf{time= \dfrac{30}{22}}\)
time = 1.36 hours
Therefore, the time used off-road = 1.661 hours while the time used on the paved road is 1.36 hours.
Since we are considering the shortest time possible;
We can conclude that it would be faster for the bicyclist to ride from A to C on the paved roads since it takes a shorter time to reach its destination compared to the time used off-road.
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It would be faster for the bicyclist to ride from A to C on the paved roads since the time to go from A to C on the paved roads is 1.4 h and the time to go from A to C off-road is 1.7 h.
To calculate which way would be faster we need to find the distance from point A to C with the law of cosines:
\( \overline{AC}^{2} = \overline{AB}^{2} + \overline{BC}^{2} - 2\overline{AB}\overline{BC}cos(38) \)
Where:
\(\overline{AB}\): is the distance between the point A and B = 18 mi
\(\overline{BC}\): is the distance between the point B and C = 12 mi
\( \overline{AC} = \sqrt{(18 mi)^{2} + (12 mi)^{2} - 2*18 mi*12 mi*cos(38)} = 11.3 mi \)
Now, let's find the time for the two following cases.
1. From point A to C on the paved roads (t₁)
\( t_{1} = t_{AB} + t_{BC} \)
The time can be calculated with the following equation:
\( t = \frac{d}{v} \) (1)
Where:
d: is the distance
v: is the velocity
Then, the total time that it takes the bicyclist to go from point A to C on the paved roads is:
\( t_{1} = t_{AB} + t_{BC} = \frac{18 mi}{22 mph} + \frac{12 mi}{22 mph} = 1.4 h = 84 min \)
2. From point A to C off-road (t₂)
With equation (1) we can calculate the time to go from point A to C off-road:
\( t_{2} = \frac{\overline{AC}}{v_{2}} = \frac{11.3 mi}{6.8 mph} = 1.7 h = 102 min \)
Therefore, it would be faster for the bicyclist to ride from A to C on the paved roads.
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I hope it helps you!
Pleaseeee helpppp meee
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Answer:
try searching it
Step-by-step explanation:
Answer: 14:16 describes Rita’s class in terms of number of girls to number of boys.
14:30 describes her class in terms of number of girls to total number of students
A football player kicks a ball with a mass of .55 kg. The average acceleration of the football was 14.9 m/s2
. How much force did the kicker supply to the football?
Question 2 options:
35.24 N
8.2 m/s2
35.24 m/s2
8.2 N
Answers
By Newton's second law, the average force exerted on the ball is
F = (0.55 kg) (14.9 m/s²) = 8.195 N ≈ 8.2 N
Answer:
8.2 N
Step-by-step explanation:
I took a test in school and I had this question I got a hundred, so pls trust me.
Also, brainliest pls. :)
y=9/4×2
sketch the graph of f and f on the same set of axes
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The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Given the numbers 30 and 45, find the common factors of the two numbers.
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Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 45: 1, 3, 5, 9, 15, 45
The common factors between the two numbers are 1, 3, 5, 15.
Hope this helps!
Find the monthly finance charge (interest payment) in the situation described. You maintain an average balance of $2125 on your credit card, which carries a 24% annual interest rate.
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Answer:
30
days
The finance charge for a billing cycle is $41.92.
The new opening balance in the following billing cycle is $2,166.92.
THE MONTHLY CHARGE IS 41.92
Step-by-step explanation:
What two numbers have a product of -15 and a sum of -2
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Answer:
5 and -3
Step-by-step explanation:
5 x (-3) = -15
5 + (-3) = -2
plz help me im struggling hard
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Answer:
0.20 × 65 is what you would do for the second
Step-by-step explanation:
btw listen to yungblud
Note that the cost for the rent is a function of the amount of the miles you drove. Let's call that \(C(m)\).
Also note that the amount you pay will linearly increase, in other words, the increase in cost will always be the same for each mile. This tells us that our function is indeed a line, a first order polynomial of the form \(C(m) = am+b\)
What would happen if you were to rent a truck and not drive it at all? You would pay only the one-time fee.
Therefore, \(C(0)=55\)
So, \(C(m) = am + 50\)
The cost will increase by $0.20 for each mile, wich tells us that \(a=0.20\)
Finally, our expression is \(\boxed{C(m) = 0.2m+55}\)
If we want to know how much would you pay if you drove 65 miles, we want to know what \(C(65)\) is.
By plugging \(m=65\) in the expression, we get
\(C(65) =68\)
So you would pay $68
You are still interested in the psychological implications of high SES. You read a different paper from the same field that looks at a similar, but not the same phenomenon. The alpha level in this study was 0.05, R in this field is still 0.35, but this researcher was much more careful, with power of this study at 0.9. The paper reports a significant effect. What is the probability that it is real? Blank 1. Fill in the blank, read surrounding text.
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Answer:
0.86
Step-by-step explanation:
Alpha level in study ( ∝ )= 0.05
In the field ( r ) = 0.35
power of study = 0.9
Determine the Probability of been real
1 - 0.14
= 1 - 0.14 = 0.86
The opposite of a probability been real is the Probability of been unreal
help I WILL GIVE Brainiest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the solution to the system of equations?
-1/2x+1/2y=-1
x-y=2
a. There is no solution.
b. There are infinitely many solutions.
c. There is only one solution, (3, 1).
d. There is only one solution, (–6, –8).
Answers
Answer:
b. infinite solutions
Step-by-step explanation:
\(-\frac{1}{2}x+\frac{1}{2}y=-1\\\\\textsf{subtract} \ -\frac{1}{2}y \ \textsf{from both sides:}\\\\\implies -\frac{1}{2}x=-1-\frac{1}{2}y\\\\\textsf{mulitply both sides by -2:}\\\\\implies x=2+y\\\\\textsf{subtract} \ y \ \textsf{from both sides:} \ x-y=2\)
Therefore, the graphs are the same.
If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.
Answer:
There's one solution (2,0)
Hope this helps!
C = 200 – 7x + 0.345x2
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The way to find the domain and the range is illustrated below.
How to illustrate the information?From the information, c(x) = 200 - 7x + 0.345x². It should be noted that the domain is the set of x-values that are feasible.
The range is the set of possible results for c(x). They are the possible costs. You can derive this from the fact that c(x) is a parabola and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape.
You can substitute some values for x to help you, for example:
x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42
10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745
If the functions do not have real roots, then the costs never decrease to 0. The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.
Then the range goes from 164.5 to infinity, limited to the solution for x = positive integers.
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Complete question:
the daily production cost, c, for x units is modeled by the equation: c = 200 – 7x 0.345x² explains how to find the domain and range of c.
Determine whether each statement is always true, sometimes true, or
never true.
1. Every square is a rhombus.
2. Every rhombus is a parallelogram.
3. Every rectangle is a parallelogram.
4. The diagonals of a square are perpendicular.
5. If the diagonals of a quadrilateral bisect each other, then the
quadrilateral is a square.
6. If the diagonals of a quadrilateral are perpendicular, then the
quadrilateral is a rhombus.
7. The diagonals of a rectangle are congruent.
8. The diagonals of a rhombus bisect the vertex angles.
9. Some rectangles are rhombi.
10. Some rhombi are squares.
Answers
Here the statements 1, 2, 3, 4, 5, 7, 8, 10 are correct according to the rules of the shapes.
1: A rhombus is a quadrilateral with four equally sized sides. Each square is a rhombus since they all have four sides that are the same length. 2: Due to the parallel alignment of its opposing sides, every rhombus is a parallelogram. 3: It is true that all rectangles are parallelograms since they have two sets of parallel sides and two pairs of equal opposing sides. 4: The other is split into two equal halves by each bisector. 5: If a quadrilateral's diagonals are equal and bisect one another at right angles, it is a square. 7: Since the diagonals themselves are congruent, each bisected line segment is also congruent. 8: The diagonals split a rhombus's vertex angles into equal halves. The diagonals of a rhombus are at right angles to one another. 10: A square is a rhombus. Sometimes, this is accurate. When a rhombus has four right angles, it is true. So the statements 1,2,3,4,5,7,8,10 are correct.
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Suppose we are minimizing the objective function value of a linear program. The feasible region is defined by 5 corner points. The objective function values at the five corner points are 4, 11, 7, 4, and 10. What type of solution do we have for this problem?.
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The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..
How to determine the solution to the objective function value of a linear programBased on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.
The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.
In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.
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Domain????!!!!!!!!!!
Answers
Answer:
Interval Notation:
( −∞,−13]
Set-Builder Notation:
{ x| x≤−13}
Step-by-step explanation:
will give brainliest to whoever helps
Answers
Answer:
x=4y
Step-by-step explanation:
Solving for x means you need to get it in the form x=?.
1. let's isolate the variable.
-2x-7y=y-4x
Add 4x to both sides to isolate:
2x-7y=y
Add 7y to both sides to isolate the x term:
2x=8y
Now we divide both sides by 2 (as we are solving for x):
x=4y
Hope this helps!
help me please thank you
Answers
Answer:
m<A = 98.25
m<B = 81.75
m<C = 113
m<D = 113
m<E = 67
Step-by-step explanation:
3x + 12 + 5x - 18 = 180
8x - 6 = 180
8x = 186
x = 23.25
3x + 12
3(23.25) + 12
81.75
5x - 18
5(23.25) - 18
98.25
6y - 5 + 10y - 7 = 180
16y - 12 = 180
16y = 192
y = 12
6y - 5
6(12) - 5
67
10y - 7
10(12) - 7
113
There are 30 marbles in a bag. Write an expression for the number of marbles in the bag when 5 marbles are added
Answers
Answer:
i will clear you.
Step-by-step explanation:
Given:-
Marbels we have =30
when we add marbels =5
Now,
or,30+5
Reesa works 6 4/5 hours on Saturday and 4 hours on Sunday. Her pay rate is $8.25 per hour. How much will be paid, in dollars for working on Saturday and Sunday?
Answers
Answer: D ($89.10)
Step-by-step explanation:i took the test
pls help me with this i ready question pls hurry
Answers
Answer:
100:2 =200:x
200*2/100=4
Step-by-step explanation:
4 weeksQuestion 3 Read the letter below and answer all the questions that follows. Bank of South Africa Theo Mnisi P. O. Box 472 Bushbuckridge Local Municipality Thulamahashe IIII We know it is important to you to manage your finances responsibly. Here's an offer you would want to use. 1365 Dear Mrs Mnisi R9 000,00 Cash already approved YOUR LOAN OFFER AMOUNT ALREADY APPROVED Payable over 48 months Monthly instalments = R 318,92 EXPIRY DATE: 28 February 2023 R 9 000,00 3.1. Calculate the TOTAL amount that Theo has to payback if she takes the loan. 3.2. Why, do you think, do banks and other financial institutions offer cash loans to people that did not apply for it? 3.3. Theo decides to take the loan and wants to invest the money in either of the following options. Option 1: The R9 000 invested at 8% p.a. simple interest for 3 years. Option 2: The R9 000 invested at 7% p.a. compound interest for 3 years. 3.3.1. Which of the two options will be better? Show all calculations. 3.3.2. Why is the option chosen in 3.3.1. a better option? (2) (1) (7) (1) [11] Page 3 of 4
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The best option based on the return on investment will be option 2.
How to calculate the word problemA word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
The total amount that will be paid back by Theo will be:
= Monthly installments × Number of months
= 8313 × 48
= 399302.16
The return on investment for option 1 will be:
Interest = Principal × Rate × Time
= 9000 × 0.08 × 3
= 2160
Total amount after three years will be:
= 9000 + 2160
= 11160
The return on investment for option 2 will be:
= 9000 × (1 + 0.07)³
= 11025.39
Therefore, 2 is better.
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9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
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All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
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Answers
Answer:
A
Step-by-step explanation:
A= 125
Step-by-step explanation:
in a triangle all angles add up to 180
Do 180-55= 125
hope this helps :)
complete the equation describing how x and y are related.
Answers
Answer:
y=-2x+1
Step-by-step explanation:
The slope of the line is (y(2)-y(1))/(2-1)=(-3+1)/1=-2. The equation of the line is y=mx+(y intercept), y=-2x+1
The complete equation describes how x and y are related y=-2x+1.
We have given, the equation,
We have to determine the complete equation describing how x and y are related.
What is the formula for the slope?
The slope of the line is(m)=y2-y1/x2-x1
Where m is the slope,
Therefore we get,
(y(2)-y(1))/(2-1)
=(-3+1)/1
=-2.
The equation of the line is y=mx+(y-intercept), y=-2x+1.
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You paint wall in 3 hour. At that rate how long will it take you to paint one wall?
Answers
Answer:
3 hours?
Step-by-step explanation:
Because if it took him three hours to paint the first wall then it should take him another three hours to do the other
2.) Tyler has a baseball bat that weighs 44 ounces. Find this weight in
kilograms. (NOTE: 1 kilogram = 35 ounces) *
Answers
Answer:
1.9 Kilograms.
Step-by-step explanation
To find the total, subtract 35 and 44, that equals 9. so take 35 from 44, Thats 1 kilo, plus the 9 extra. 1.9 Kilos
Answer:
nnn nn
Step-by-step explanation:
mmmmmmm
Distance on a Coordinate Plane
Determine the distance between the two points.
Answers
Answer:
The distance between the points is five for the first one and 7 for the second one.
Step-by-step explanation: