The cost of cultivating a rectangular field at the rate of ₹ 4 per sq. metre is ₹ 2340.
If the breadth of the field is 15 m, find the cost of fencing the field at ₹ 7.5 per
metre.

Answer:  the awnser is 43

Step-by-step explanation:

Period, which is a measure of how long an oscillation lasts, is constant. With L being the pendulum's length and g being the acceleration brought on by gravity, the formula for calculating a pendulum's period is T = 2π √L/g,

A simple pendulum is a machine whose point mass is suspended from a fixed support by a light, inextensible string. When a pendulum is displaced sideways from its resting position due to gravity, the equilibrium position is subjected to a restoring force that will accelerate it back toward the equilibrium position.

Only the length of the string affects a pendulum's period; the mass of the ball has no bearing. When two pendula are the same length but have different masses, their periods will be the same. The pendulum with the longer string will have a longer period if there are two of them, but their periods will differ.

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The weighted average of the given numbers 1 and 6 is 2.

What is a weighted average?

A weighted average is the average of a set of integers with different associated "weights" or values. The weighted average can be calculated by multiplying each value by its weight, then adding the results.

We are given two numbers as 1 and 6.

The formula of weighted average is as follows

Weighted average = (first number x weight of first number) + (second number x weight of second number)

We are given weights as four-fifths on the first number and one-fifth on the second number.

So,

⇒Weighted average = (1 x 4/5) + (6 x 1/5)

⇒Weighted average = 4/5 + 6/5

⇒Weighted average = 10/5

⇒Weighted average = 2

Hence, the weighted average of the given numbers 1 and 6 is 2.

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The equation that the graph of the systems of equations solve is:

x^2 - 2x + 3 = 2x^2 - 4x + 3

This is the second equation listed.

Answer: here you go this should do the trick.

Answer: the slope is -1/2 and the y-intercept is (0,4)

As per the unitary method, Roxanne's dad make did make 36 blueberry pancakes.

Here we know that Roxanne's dad made 108 mini pancakes in total, with 3 times as many blueberry pancakes as chocolate chip pancakes.

And we need to  solve this problem, we can use the unitary method, which is a simple way to solve problems involving ratios.

As we all know that the unitary method involves dividing the total number of items (108 pancakes) by the ratio (3 blueberry to 1 chocolate chip).

=> 3:1 = 108

When we simplify this gives us the result that 36 blueberry pancakes were made. Therefore, Roxanne's dad made 36 blueberry pancakes

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On converting 173 pounds (lbs) to Kilogram (Kg) , we get that 173 lbs is equivalent to 78.46 Kg  .

One pound is defined as a unit of weight or mass which used in the Imperial and US Customary systems of measurement. It is defined as  0.4535 kilograms, which is the base unit of mass in the International System of Units (SI).

One pound (1 lb) is 0.4535 Kg ,

So , we can write : 173 lbs = 173 × 0.4535 Kg  ;

⇒ 173 lbs = 78.4555 Kg ≈ 78.46 Kg .

Therefore , 173 lbs is approximately equal to 78.46 Kilogram  .

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The vertex form of a quadratic function is given by:

f(x) = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

Since the graph of f(x) = x^2 was translated 6 units to the left to create the graph of g, the vertex of g is at the point (h - 6, k).

The vertex of f(x) = x^2 is at (0, 0), so the vertex of g is at (-6, 0).

Since the vertex is at (-6, 0), the equation of g in vertex form is:

g(x) = a(x + 6)^2 + 0

We can find the value of "a" by using another point on the parabola. For example, if we know that g(-3) = 9, then we can substitute these values into the equation and solve for "a":

9 = a(-3 + 6)^2

9 = 9a

a = 1

So the equation of g in vertex form is:

g(x) = (x + 6)^2

the parabola has an equation of y = (-1/8)x² + (1/2)x - 1/2, its vertex is at (2, 0), and it opens to the left with a focus at (0, -2) and a directrix at x=2.

Since the directrix of the parabola is a vertical line x=2, the axis of the parabola is horizontal, and its vertex is the point of intersection between the axis and the directrix, which is (2, 0). The focus is located at (0, -2), which is two units below the vertex, so the distance between the focus and the vertex is |p| = 2, where p is the distance between the vertex and the directrix. Since the directrix is to the right of the vertex, the parabola opens to the left. Therefore, its equation can be written in the form:

(x - h)² = -4p(y - k)

where (h, k) is the vertex. Plugging in the values we have, we get:

(x - 2)² = -8(y - 0)

Simplifying, we get:

x² - 4x + 4 = -8y or

y = (-1/8)x² + (1/2)x - 1/2

Therefore, the parabola has an equation of y = (-1/8)x² + (1/2)x - 1/2, its vertex is at (2, 0), and it opens to the left with a focus at (0, -2) and a directrix at x=2.

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Therefore, the value of the car after three years is approximately $9,484.

Percent is a term used to represent a fraction of 100. It is denoted by the symbol "%". Percentages are commonly used to express proportions, ratios or fractions in terms of parts per hundred. The word "percent" comes from the Latin phrase "per centum," which means "by the hundred." Percentages are commonly used in everyday life, such as in calculating taxes, discounts, interest rates, and in comparing statistics, among others.

Here,

The exponential decay model for the value of the car after ⁿ years can be written as:

v = 22500 * (0.75)ⁿ

where 22500 is the initial value of the car, and (0.75)ⁿ represents the value after ⁿ years with a 25% annual decrease.

To find the value of the car after three years, we can substitute n = 3 into the equation:

v = 22500 * (0.75)³

v = 22500 * 0.421875

v = 9484.375

Rounding this to the nearest dollar amount, we get:

v ≈ $9,484

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The Correct answer will be B. f(x) is shifted π/4 units to the left.

The general equation for a sine and cosine curve is y = A sin ⁡ ( x − h ) + k and y = A cos ⁡ ( x − h ) + k , respectively. Similar to other function transformations, is the horizontal shift (also called a phase shift), and is the vertical shift.Changes to the amplitude, period, and midline are called transformations of the basic sine and cosine graphs. Changing the midline shifts the graph vertically. The graph is stretched or compressed vertically depending on the amplitude. The graph is stretched or compressed horizontally depending on the era.

To determine the transformation;

Dim x=t+π/4

so, f(t+π/4)=cos(t+π/4)=g(t)

t+π/4→t:units to the left.

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The conversion mass value of the kilograms to pounds is given by

( 103.635 ) pounds.

Standard formula which relates these two quantities of mass are represented as :

One kilogram is equal to 2.205 pounds

After substituting the standard relation between the kilograms and the pounds we get the required value,

1 kilogram = 2.205 pounds

⇒ 47 kilograms = ( 47 ) × ( 2.205 ) pounds

⇒ 47 kilograms = ( 103.635 ) pounds

Therefore, the converted value of 47 kilograms into the pounds is written as  ( 103.635 ) pounds.

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Answer:

13,19,2,73,89

Step-by-step explanation:

all of these numbers can't be divided by any number but 1 and the number itself

It should be noted that point C is located at (2.6, 1.8).

The length of horizontal side = (xB − xA) = 4 units

length of vertical side = (yB − yA) = 2 units

To find the x-coordinate of the point that divides the horizontal side in the ratio 2 : 3, first convert the ratio between the parts into the fraction of the sum that the first part is equal to:    a/a+b= 2/2+3= 2/5

Multiply the length of the horizontal side by the fraction, and then add the result to the x-coordinate of point A:  Xc= Xa  + (a/a+b) (Xb - Xa) = 1+ (2/5 x 4) = 2.6

Multiply the length of the vertical side by the fraction, and then add the result to the y-coordinate of point A:  Yc= Ya  + (a/a+b) (Yb - Ya) = 1+ (2/5 x 2) = 1.8

It follows that point C is located at (2.6, 1.8).

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You will use the GeoGebra geometry tool to divide a line segment in a given ratio. Go to line segment ratios, and complete each step below. If you need help, follow these instructions for using GeoGebra.

Question 1

Any line segment that is not horizontal or vertical can be represented as the hypotenuse of a right triangle whose legs are aligned with the x- and y-axes. In GeoGebra, is shown as the hypotenuse of such a triangle. You will divide in the ratio 2 : 3 using the ideas you’ve seen so far in the lesson:

Find and record the lengths of the horizontal and vertical sides of the right triangle.

Find and record the x-coordinate of a point that divides the horizontal side in the ratio 2 : 3. Use the formula from the lesson to guide you:

.

Find and record the y-coordinate of a point that divides the vertical side in the ratio 2 : 3. Use the formula from the lesson to guide you:

Answer:

 A(1,1) and B(5,3) are the coordinates. 4 units make up the horizontal side, while 2 units make up the vertical side.

Step-by-step explanation:

god told me in a dream.

Answer:

  c)  5(1/2 + x)

Step-by-step explanation:

You want the expression that represents "5 multiplied by the sum of 1/2 and x."

The wording of the statement tells you it will have the form of a product:

  5×sum . . . . . . . . 5 multiplied by a sum

That eliminates all of the answer choices except C.

The wording tells you the sum is of 1/2 and x, so it is represented by ...

  1/2 +x . . . . . . . . . sum of 1/2 and x

Using the sum expression in the above product expression, we have ...

  5(1/2 +x)

Answer:

216

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The value of the equation f(x)=-3x+5 at f(-2) is 11.

An equal sign ("=") links two expressions together to form an equation. The two expressions on either side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero. As we can balance this by deducting the expression on the right from the expressions on both sides, this won't reduce the generality.

The given equation is f(x)=-3x+5.

Substitute the value of x = -2 in the equation to find f(-2).

f(x)=-3x+5

f(-2) = -3(-2) + 5

f(-2) = 6 + 5

f(-2) = 11

Hence, the value of the equation f(x)=-3x+5 at f(-2) is 11.

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As per the arithmetic sequence, the farmer have 21 cows in his first year on the farm

An arithmetic sequence is a sequence of numbers in which each successive number is obtained by adding a fixed number to the previous number.

To determine the common difference, we can take the difference between any two consecutive terms in the sequence.

The difference between the 2nd and 5th years is 9 cows

=> (39 - 30 = 9).

Now that we know the common difference is 9, we can use it to find the first term of the sequence. To do this, we can take the second term (30 cows) and subtract the common difference from it.

This would give us the first term of the sequence, which is 21 cows.

Therefore, the farmer had 21 cows in his first year on the farm.

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If 18,793 is multiplied by 1000, then the product of this arithmetic equation will be equal to 18,793,000.

The arithmetic equations are the mathematical problems which includes simple functions such as addition (summation), subtraction, multiplication and division. The function of multiplication is also called as repeated addition. In the given question, the multiplicand is 18,793 and the multiplier is 1000 and the result which we get that is 18,793,000 is called as product.

The multiplicand is always written first. When the multiple of 10 is multiplied to any number, the general rule says that there is simple addition of zeroes in the right hand side of the number if is not in decimal form. If the number is in decimal form, the decimal point shift to the right hand side as many times as there are zeroes in the multiplier.

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a) The simple interest earned is $810. b) The annual interest rate paid by the credit union is 5.4%. c) It will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.

a) To find the simple interest earned, we can use the formula:

Simple interest = Principal x Interest rate x Time

Where the principal is $5,000, the time is 3 years, and the total amount received at the end of 3 years is $5,810. We can rearrange the formula to solve for the interest rate:

Simple interest = $5,810 - $5,000 = $810

Interest rate = Simple interest / (Principal x Time)

Interest rate = $810 / ($5,000 x 3)

Interest rate = 0.054 or 5.4%

b) The annual interest rate paid by the credit union is 5.4%.

c) To find the length of time it will take for Mr. Adams' investment to be doubled at the same rate of interest, we can use the formula:

Doubling time = ln(2) / ln(1 + r)

Where r is the interest rate as a decimal. Plugging in the values:

Doubling time = ln(2) / ln(1 + 0.054)

Doubling time ≈ 12.81 years

Therefore, it will take about 12.81 years for Mr. Adams' investment to be doubled at the same rate of interest.

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Complete question:

Mr. Adams invested $5,000 at the credit union and received $5,810, inclusive of simple interest, after 3 years. Determine:

a) The simple interest earned

b) The annual interest rate paid by the credit union

c) The length of time it will take for Mr. Adams' investment to be doubled, at the

same rate of interest.

Therefore , the solution of the given problem of area comes out to be

a new bedroom door would cost $142.52 in total.

Its surface area serves as a fair guide of its total size. The environment is considered when calculating the right triangle squared. Everything's overall size is determined by its surface area. The volume of water inside a cuboid is equal to the sum of the contents from each of its twelve vertical sides. To determine the box's dimensions, use the formula below: 2lh, 2lw, and 2hW symbolise the area (SA). The full surface area of the flexible shape serves as the area's representation.

Here,

The area of the door is:

Area = height x width

Area = 7 ft x 4 ft

Area = 28 sq ft

The cost per square foot is $5.09, so the total cost of the new door would be:

Cost = Area x cost per square foot

Cost = 28 sq ft x $5.09/sq ft

Cost = $142.52

Therefore, a new bedroom door would cost $142.52 in total.

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Angle 2 is the angle of elevation from point Q to point R.

What is angle of elevation ?

The angle of elevation is the angle formed between a horizontal line and the line of sight from the observer's eye to an object located above the observer's level. In other words, it is the angle between the horizontal and an imaginary line drawn upwards from the observer to the object being viewed. It is typically measured in degrees or radians.

Given,

Point Q is at the far left side of the top line, point R is at the far right of the second line, and point S is at the far left side of the bottom line.

Lines are drawn from point Q to point R and from point R to point S.

angle of depression from point R to point S.

The angle of depression from point S to point R is angle 3.

Therefore, Angle 2 is the angle of elevation from point Q to point R.

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Answer:

the angle of depression from point R to point S is angle 3

the angle of elevation from point S to point R is angle 4

angle 2 is the angle of elevation from point R to point Q

angle 1 is the angle of depression from point Q to point R

Step-by-step explanation:

AS per the measurement, the value of 5'2 in meters is 1.5748 meters.

One common unit of measurement is the foot, which is often used to measure height. However, in some scientific fields, the meter is the preferred unit of measurement.

To convert 5'2 into meters, we first need to understand the relationship between feet and meters. One foot is equal to 0.3048 meters, which means that we can convert 5 feet to meters by multiplying 5 by 0.3048. This gives us 1.524 meters.

But what about the additional 2 inches? We can convert inches to meters by dividing the number of inches by 39.37 (the number of inches in a meter). In this case, 2 inches divided by 39.37 equals 0.0508 meters.

To get the total measurement in meters, we simply add the two values: 1.524 + 0.0508 = 1.5748 meters.

Therefore, 5'2 is equivalent to 1.5748 meters.

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Answer:

which one?Tell me so I can help you

Answer: 44

Step-by-step explanation: No explain because just yeah:)

Answer:

ABCD is a kite, therefore, ΔAEC is a right Δ

Step-by-step explanation:

Look at ΔABD and ΔACD, they both have the same side AD, AB = AC while BD = CD. Therefore ΔABD and ΔACD are congruent or basically the same triangle.

Both ΔABD and ΔACD will form a quadrilateral, which can be called a kite.

Definition: A kite is a quadrilateral with two pairs of adjacent sides, congruent.

Therefore, a kite has perpendicular diagonals, where one bisects the other.

So AD is perpendicular to BC

so the angles AEC, ABD, DEC, DEB are all right angles.

Hope this helps.

Answer: 3.93701

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

REMEMBER: for a right triangle  sin (30) = opposite LEG/ hypotenuse

  so sin 30 =  4 / hypotenuse         now, with a calculator sin 30 = 1/2

            1/2   = 4 / hypotenuse      so hypotenuse = 8

Now it is a right triangle so Pythagorean theorem applies

  hyp ^2 = 4 ^2   +   BM^2

   8^2 = 4^2 + BM^2

      48 = BM^2     so  BM = sqrt (48 ) = 4 sqrt 3

Finally, all of the internal angles of ANY triangle sum to 180 °

   so angle x = 180 - 90 - 30 = 60°

Answer:

Where is the angle so I can help you?

Answer:(10,7)

Step-by-step explanation:

Answer:

(10 , 7)

Step-by-step explanation:

You start at the point (7 , 2)

Moving up 5 units is going up on the y axis, therefore add 5 to 2.

(7 , 7)

Moving to the right 3 times is going to the right on the x-axis, and since moving to the right is positive, add 3 to 7.

[(10 , 7)]