Consider the function defined by f(x) for x > 0 and its graph y = f(x).
The graph of f has a horizontal tangent at point P. Find the coordinates of P.
Answers
This means that the coordinates of P are (a, b), where a is the value for which f'(a) = 0, and b = f(a).
What is coordinate?The term "coordinate" generally refers to a value or set of values that describe the position or location of a point or object in a particular system or space. In mathematics, coordinates are typically used to describe the position of a point on a graph or in a geometric plane, and they usually consist of a set of numerical values that indicate the distance or direction of the point from a specified origin or reference point. In geographic or cartographic contexts, coordinates might refer to latitude and longitude values that indicate a specific location on the Earth's surface. Other systems may use different types of coordinates, but the underlying idea is usually the same: a set of values that describe the position of an object or point in a given space or system.
if the graph of f has a horizontal tangent at point P, this means that the slope of the tangent line at P is zero.
Let (a, b) be the coordinates of P. Then the equation of the tangent line at P is:
\(y - b = f'(a)(x - a)\)
Since the slope of the tangent line at P is zero, we have:
f'(a) = 0
This means that the derivative of f at x = a is zero. So, we need to find the value of a for which f'(a) = 0.
Once we find the value of a, we can substitute it into the equation of the tangent line to find the value of b.
So, let's find f'(x) first:
f(x) = ... (the function is not given, so we cannot find f'(x) explicitly)
We know that f'(a) = 0, so we have:
\(f'(a) = lim h- > 0 [f(a+h) - f(a)]/h = 0\)
This means that:
\(lim h- > 0 [f(a+h) - f(a)]/h = 0\)
Multiplying both sides by h, we get:
\(lim h- > 0 [f(a+h) - f(a)] = 0\)
Taking the limit as h approaches 0, we get:
\(f(a) - f(a) = 0\)
So, we have:
\(f(a) = b\)
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Related Questions
The sum of two positive integers is 18 and their difference is 2. What is the larger number?
Answers
Answer:
10
Step-by-step explanation:
we call the numbers x and y
then from the given data:
x+y=18
x-y=2
we add both sides of both equations
x+y+x-y=20
2x=20
x=10
we use the first equation:
10+y=18
then y=8
the larger number is x=10
An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)
Answers
The result of the unknown variable x is equivalent to 7
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the expression below:
5(3x − 15) + 16 = 5x + 11
Expand the expression
5(3x) - 5(15) + 16 = 5x + 11
15x - 75 + 16 = 5x + 11
15x - 5x - 59 - 11 = 0
10x - 70 = 0
10x = 70
Divide both sides by 10
10x/10 = 70/10
x = 7
Hence the value of x makes the equation true is 7
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8. Choose all decimals that are equivalent to (7 x 100) + (5 × 1) + (8 × 7) + X 10 (1 × 100). 75.081 705.810 705.801 75.810 705.81 705.081
Answers
Answer:
705.81 and 705.810
Step-by-step explanation:
700 + 5 + 0.8 + 0.01 = 705.81
Answers:
705.810
705.81
You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answers
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
Find the sum. You may find using a number line to be helpful Express your answer as a simplified mixednumber, if necessary3+1 1/2
Answers
To perform this sum, we will use a drawing of the real line
Now, we are going to add the number 1 1/2. The number 1 1/2 means that we have 1 and a half units. So, adding up one and a half units is equivalent to first adding up one unit and then the other half. So, if we add first one unit, we get
SOMEONE HELPP ME PLEASEE. can you also show work if that’s possible. Make it simple
Answers
The solution is: the value of x is : x = 98.5.
Formula
<x = 1/2 (arc 1 + arc2)
This is the basic angle formula for the way two chords intersect.
Givens
arc1 = 96
arc2 = 101
Solution
<x = 1/2 (arc1 + arc2) Substitute values
<x = 1/2(96 + 101)
<x = 1/2(197)
<x = 98.5
Answer
x = 98.5
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Use the expression 1/4p−(1-1/3p). Rewrite the expression without parentheses.Simplify. Show your work. Use a different method to write the expression without parentheses. Do not simplify
Answers
El diseño de un sistema requiere instalación de 2 componentes iguales. El sistema completo funcionará si al menos 1 de los componentes funcionan,mientras que un sistema alternativo requiere cuatro de sus componentes funcionará si al menos 2 de sus componentes están funcionando.
La probabilidad de que un componente funcione de manera individual es de 0.9 y cada uno funciona de manera independiente. ¿cuál de los 2 diseños tienen mayor probabilidad de funcionar?
Answers
Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.
Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.
Distribuición binomial:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Los parámetros son:
n es el número de ensayos. p es la probabilidad de éxito en un ensayo. x es el número de éxitos.En este problema:
La probabilidad que un componente funcione es 0.9, o sea, \(p = 0.9\).Diseño de 2 componentes:
2 componentes implica que \(n = 2\).La probabilidad de funcionar es \(P(X \geq 1)\), que es dada por:
\(P(X \geq 1) = 1 - P(X = 0)\)
En que:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01\)
Entonces:
\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99\)
Diseño de 4 componentes:
4 componentes implica que \(n = 4\).La probabilidad de funcionar es \(P(X \geq 2)\), que es dada por:
\(P(X \geq 2) = 1 - P(X < 2)\)
En que:
\(P(X < 2) = P(X = 0) + P(X = 1)\)
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001\)
\(P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036\)
Entonces:
\(P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037\)
\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963\)
\(0.9963 > 0.99\), o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.
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present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Answers
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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the line with a slope of 9/7 & containing a midpoint of the segment whose end points are (2, -3) & (-6, 5)
Answers
1. Find the midpoint of the segment using the midpoint formula:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
2. Use the midpoint and the slope to find the equation of the line in point-slope form. The point-slope form is given by:
y - y1 = m(x - x1), where (x1, y1) is the midpoint and m is the slope.
Substituting the values:
y - 1 = (9/7)(x - (-2))
y - 1 = (9/7)(x + 2)
y - 1 = (9/7)x + (18/7)
3. Simplify the equation to obtain the slope-intercept form:
y = (9/7)x + (18/7) + 1
y = (9/7)x + (18/7) + (7/7)
y = (9/7)x + (25/7)
So, the equation of the line with a slope of 9/7 and containing the midpoint of the segment with endpoints (2, -3) and (-6, 5) is y = (9/7)x + (25/7).
Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:
y = (9/7)x + 25/7.
Step-by-step explanation:Step 1: Find the midpoint of the line segment.
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:
Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)
Midpoint = (-4 / 2, 2 / 2)
Midpoint = (-2, 1)
So, the midpoint of the line segment is (-2, 1).
Step 2: Write the equation of the line using the slope-intercept form.
The slope-intercept form of a line is given by:
y = mx + b
where m is the slope and b is the y-intercept.
Given the slope as 9/7, we have:
y = (9/7)x + b
Step 3: Substitute the coordinates of the midpoint to find the value of b.
Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:
1 = (9/7)(-2) + b
1 = -18/7 + b
To find the value of b, we can solve this equation:
1 + 18/7 = b
25/7 = b
Step 4: Write the final equation of the line.
Using the value of b, the equation becomes:
y = (9/7)x + 25/7
4 people can paint a house in 6 hours
a)how long will it take 1 person to paint a house
b)how long will it take for 3 people to paint a house
Answers
Answer:
a
Step-by-step explanation:
Answer:
a is your answer hope this helps :)
Step-by-step explanation:
Sam's parents gave him a map to reach his house. He is 1.5cm from his home. If each 3 cm on scale drawing equals 5 km, how far is he from the house?
Answers
Answer: Sam was 2.5 Km far from his house
Step-by-step explanation:
Sam's parents gave him a map to reach his house.
As per Map Sam was =1.5cm from his home.
To find actual distance from house
If we consider actual distance of sam house =X
We have,
If each 3 cm on scale drawing equals 5 km
We know on map 3cm = 5Km
If 1.5 cm = X Km
We need to cross multiple
3X =1.5 × 5
3X = 7.5
X= 7.5÷3
X= 2.5 Km
Sam was 2.5 Km far from his house.
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Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
Which of these polynomial functions is graphed below?
Answers
Answer:
B
Step-by-step explanation:
The \(y\)-intercept is \((0,27)\), eliminating all the options except for B.
3. The table gives the coordinates of a
triangle that was rotated 90° clockwise.
Which rule correctly describes the
rotation?
Pre-image
A (4,5)
B (7,8)
C (3, 1)
Image
A' (5,-4)
B' (8,-7)
C' (1, -3)
A
B
(-x, y)
(y, x)
с
D
(x,-y)
Answers
Answer:
B
Step-by-step explanation:
Look at the X and Y coordinates carefully. X and Y coordinates are swapped and Y coordinate got negative sign.
O2) Work out 30% of £5.80.
Answers
Answer:
1.74
Step-by-step explanation:
Multiply 5.80 times .30
Answer:
1.74
Step-by-step explanation:
To solve this, lets multiply the value by the percentage.
Our value is 5.8
And our percentage is 30%.
Lets convert this into a decimal, to do this, divide 30 by 100:
30/100
=
0.3
Now that we have the percentage in decimal form, multiply it by the 5.8:
5.8*0.3
=
1.74
This is your answer!
Hope this helps! :)
What is -20/2(7 2/3)
Answers
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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What is the distance between (-5, 2) and (4,-9)?
Use the distance formula, d = √ (x2 − X1)² + (Y2 − Y1)².
OA. 8.23
O B. 11.05
O C. 14.21
O D. 16.27
Answers
Answer:
d = √ (4 - (-5))² + (-9 - 2)²
d = √ 9² + (-11)²
d = √81 + 121
d = √202
d ≈ 14.21
Therefore, the distance between (-5, 2) and (4, -9) is approximately 14.21 units. The answer is (C) 14.21.
Step-by-step explanation:
leave thanks
Which of the following does not have 32 as a multiple A 2 B 3. C 4 D 8
Answers
Answer:
b .3
Step-by-step explanation:
every thing else is even and if u add them up u will get to 32 eventually
Answer:
B.) 3
Step-by-step explanation:
To do this problem, we should find out what factors can equal 32. So let's start with finding out. This problem is going to require multiplication and division.
Letter A is a multiple of 32, because:
32 ÷ 2 = 16, which means that 16 x 2 = 32.
Because 2 can be divided equally into 32, this answer is wrong.
_________________
Letter C is a multiple of 32, because:
32 ÷ 4 = 8, which means that 8 x 4 = 32.
Because 4 can be divided equally into 32, this answer is also wrong.
_________________
And, because the last answer equaled 8, that means that:
32 ÷ 8 = 4, which means that 4 x 8 = 32.
Which is also wrong.
_________________
This leaves us with 32 ÷ 3 = 10.6666666667. This answer cannot be multiplied evenly into 32, so it is correct.
I hope that this helps.
A large grocery store chain pays all workers time and a half on Saturdays and double time on Sundays. If an employee's regular pay is $10.75 per hour, use the expression 10.75(1.5)(x) + 10.75(2)(y) to find their gross income if they worked 4.5 hours on Saturday and 5 hours on Sunday. (4 points)
A.. $156.72
B. $177.38
C. $180.06
D. $257.44
Answers
The gross income earned by the workers if paid time and a half on Saturdays and double time on Sundays is $180.06
How to find gross incomeTotal = 10.75(1.5)(x) + 10.75(2)(y)
where,
x = hours worked on Saturday = 4.5 hoursy = hours worked on Sunday = 5 hoursTotal = 10.75(1.5)(4.5) + 10.75(2)(5)
= 72.5625 + 107.5
= $180.0625
Approximately,
$180.06
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Adjusted exponential smoothing forecasting includes an adjustment factor (T) which adjusts the exponential smoothing forecast for a:
Group of answer choices
a. Trend
b. Cycle
c. Seasonal Pattern
d. Random Variation
Answers
The adjustment factor (T) which adjusts the exponential smoothing forecast , does this adjustment for a. Trend.
What is the adjustment factor?A big part of the Adjusted exponential smoothing forecasting method is the use of an adjustment factor which has the purpose of adjusting the smoothing forecast for a trend.
If this trend is found, then there is a need to smoothen it out of the data so that the model is more trustworthy. It is important that this trend is removed to ensure that the forecast does not have a time bias.
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What is the ratio of 6 inches to 2 feet?
Answers
Answer:
3
Step-by-step explanation:
Answer:
1 : 4
Step-by-step explanation:
2 feet is 24 inches so we are finding the ratio between
6 and 24
Simplify
1 : 4
The function g(t) = - 16t2 + vt + h represents the height of an object, g, in feet, above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Part A: Write a function that can be used to describe the flight of the model rocket.
Answers
Answer:
g(t)= -16t^2 +80t
Step-by-step explanation:Should be
A function is a relationship between inputs where each input is related to exactly one output.
The function that can be used to describe the flight of the model rocket is
g(t) = -16t² + 80t.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example: f(x) = 3x + 1 is a function
x = 1, f(1) = 3 + 1 = 4
We have,
A function that represents the height of an object.
g(t) = -16t² + vt + h
t = time in second
v = Initial velocity per second
h = Initial height
Initial velocity:
v = 80 feet per second
A model rocket is launched off the ground.
This means,
h = 0
Now,
Putting v = 80 and h = 0
g(t) = -16t² + vt + h
g(t) = -16t² + 80t + 0
g(t) = -16t² + 80t
Thus,
The function that can be used to describe the flight of the model rocket is
g(t) = -16t² + 80t.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the Binomial Theorem to find the binomial expansion of the given expression. Show your work.
\((2x-3y)^5\)
Answers
The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).
Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]
Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵
Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y
Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²
Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³
Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴
Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵
Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)
Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).
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According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones, etc.) in back-to-college spending per student. Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54. If a family of a returning college student is randomly selected, what is the probability that: (a) They spend less than $150 on back-to-college electronics? (b) They spend more than $390 on back-to-college electronics? (c) They spend between $120 and $175 on back-to-college electronics?
Answers
Answer:
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.
Step-by-step explanation:
We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.
Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.
Let X = back-to-college family spending on electronics
SO, X ~ Normal(\(\mu=237,\sigma^{2} =54^{2}\))
The z score probability distribution for normal distribution is given by;
Z = \(\frac{X-\mu}{\sigma}\) ~ N(0,1)
where, \(\mu\) = population mean family spending = $237
\(\sigma\) = standard deviation = $54
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)
P(X < $150) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{150-237}{54}\) ) = P(Z < -1.61) = 1 - P(Z \(\leq\) 1.61)
= 1 - 0.9463 = 0.0537
The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)
P(X > $390) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{390-237}{54}\) ) = P(Z > 2.83) = 1 - P(Z \(\leq\) 2.83)
= 1 - 0.9977 = 0.0023
The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)
P($120 < X < $175) = P(X < $175) - P(X \(\leq\) $120)
P(X < $175) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{175-237}{54}\) ) = P(Z < -1.15) = 1 - P(Z \(\leq\) 1.15)
= 1 - 0.8749 = 0.1251
P(X < $120) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{120-237}{54}\) ) = P(Z < -2.17) = 1 - P(Z \(\leq\) 2.17)
= 1 - 0.9850 = 0.015
The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.
Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101
a farmer has two types of milk, one that is 28% butterfat and another that is 16% butterfat. how many gallons of each should be combined to create a 60-gallon mixture that is 22.5% butterfat?
Answers
30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.
Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,
⇒ x + y = 60 ⇒ x = 60 - y ----(1),
Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,
⇒ 28% of x + 16% of y = 22% of 60
⇒ 0.28x + 0.16y = 0.22 × 60
⇒ 0.28x + 0.16y = 13.2
⇒ 28x + 16y = 1320
⇒ 14x + 8y = 660
From equation (1),
14(60-y) + 8y = 660
840 - 14y + 8y = 660
6y = 180
y = 30
Again from equation (1),
x = 60 - y
= 60 - 30
= 30
Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%
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How many times can 1/5 go into nine
Answers
Answer:
1.8
Step-by-step explanation:
Help Me Please. and I will help you
Answers
Answer:
\(AB = 8.38\)
Step-by-step explanation:
Given
\(AC = 9\)
\(BC =10\)
\(\angle B = 52\)
Required
Determine AB
This question will be answered using the cosine law.
\((AB)^2 = (AC)^2 + (BC)^2 - 2(AC)(BC)\ \cos \angle B\)
Substitute the expected values
\((AB)^2 = 9^2 + 10^2 - 2 * 9 * 10 * cos(52)\)
\((AB)^2 = 81 + 100 - 180* cos(52)\)
\((AB)^2 = 181 - 180* cos(52)\)
\((AB)^2 = 181 - 180* 0.6157\)
\((AB)^2 = 70.174\)
Take square roots of both sides
\(AB = \sqrt{70.174\)
\(AB = 8.38\) -- approximated
Bandhan Bank employee salary after 10 years
Answers
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
who helps me do this
Answers
Answer:
1. True
2. false.
3. true
4. false
5. true