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7251.

How to find the area of a circle using the circumference?

Answer» The area of a circle = C²/4π, where 'C' is thecircumference of the circle

Thecircumference of a circle(C) =2πr(where r denotes the radius of the circle) is the total boundary of the circle

7252.

How many Inches is 100 cm?

Answer» There are 39.3701 inches in 100 cm.

Centimeter belongs to the metric system of measurementwhile inch is a part of the US customary measurement system.

7253.

Find the remainder when f(x) = 2x3 - 12x2 + 11x + 2 is divided by x - 5.

Answer» Find the remainder when f(x) = 2x3- 12x2+ 11x + 2 is divided by x - 5.

Solution:

7254.

Identify all of the root(s) of g(x) = (x2 - 3x - 4)(x2 - 4x + 29).

Answer» Identify all of the root(s) of g(x) = (x2 - 3x - 4)(x2 - 4x + 29).

Solution:

7255.

What is the perimeter of △LMN?

Answer» What is the perimeter of △LMN?

7256.

Write down, in figures, seventeen thousand and seventeen.

Answer» Write down, in figures, seventeen thousand and seventeen.

Solution:

7257.

What is the arc length when θ = 3 pi over 5 and the radius is 7 cm?

Answer» What is the arc length when θ = 3 pi over 5 and the radius is 7 cm?

Solution:

7258.

How Do You Solve For y In The Equation 2x + y = 6?

Answer» Solving for y in the equation 2x + y = 6, we get y = 6 - 2x.

In the equation, 2x + y= 6 can be rearranged to solve for y.

7259.

What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2?

Answer» a = 1, b = -3 and c = -2, are the values of a, b, and c in the quadratic equation x2 – 3x – 2 = 0. This equation has been compared with the standard form of quadratic equationax2+ bx + c = 0.

Quadratic equations are the type of equations that have a degree equal to two and are of the form ax2+ bx + c, where a is not equal to zero.

7260.

What are the solutions of the equation x6 - 9x3 + 8 = 0? Use u substitution to solve.

Answer» What are the solutions of the equation x6 - 9x3 + 8 = 0? Use u substitution to solve.

Solution:

7261.

When to use the law of sines V/S the law of cosines?

Answer» When to use the law of sines V/S the law of cosines?

Solution:

7262.

What is the name of polyhedrons with twelve flat faces?

Answer» What is the name of polyhedrons with twelve flat faces?

Solution:

7263.

Based on the given information in the figure at the right, how can you justify that triangle ABC is congruent to triangle CDA?ASA, SSS, AAS, SAS

Answer» Based on the given information in the figure at the right, how can you justify that triangle ABC is congruent to triangle CDA?

Solution:

7264.

How many sides does a square have?

Answer» A square has 4 sides.

A polygon is a closed two-dimensional figure made up of straight lines.

7265.

Simplify (8x2 - 1 + 2x3) - (7x3 - 3x2 + 1).

Answer» Simplify (8x2 - 1 + 2x3) - (7x3 - 3x2 + 1).

Solution:

7266.

Find the exact length of the curve. y = 5 + 8x3/2, 0 ≤ x ≤ 1?

Answer» 7.995 isthe exact length of the curve.

The exact length of a curve is a geometrical concept that addressed by integral calculus. It is a method for calculating the exact lengths of line segments.

7267.

Solve the given differential equation by undetermined coefficients. y'' - y' + 1/4 y = 8 + ex/2

Answer» Solve the given differential equation by undetermined coefficients. y'' - y' + 1/4 y = 8 + ex/2

Solution:

7268.

Solve the following system of equations and show all work:y = 2x2, y = –3x − 1.

Answer» The solution of the system of equationsy = 2x2,y = –3x − 1 is x = = -1, -1/2.

Equations are the backbone of mathematics. There can be many types of equations like quadratic equations, linear equations, and many others.

7269.

Consider circle T with radius 24 in and θ = 5pi/6 radians. What is the length of minor arc SV? 20π in,28π in,40π in,63π in.

Answer» Consider circle T with radius 24 in and θ = 5pi/6 radians. What is the length of minor arc SV?

Solution:

7270.

What is 10to the 2ndpower?

Answer» The value of 10 raised to the 2ndpower is 100.

The exponentor power of a number shows how many times the number is multiplied by itself.

7271.

If a is a zero of the polynomial p(x), then (x - a) must be a factor of p(x).

Answer» Yes, if a is a zero of the polynomial p(x) then (x - a) is a factor of p(x).

We will use the concept of the remainder theorem in order to find the required answer.

7272.

What is the solution to the system of equations? y = 3x + 7, y = x - 9.

Answer» What is the solution to the system of equations? y = 3x + 7, y = x - 9.

Solution:

7273.

Find the diameter if the radius is 8.8cm.

Answer» If the radius is 8.8 cm, thediameter is 17.6 cm.

The length of the diameter is twice the length of the radius.

7274.

Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens): (a) 439 + 334 + 4317 (b) 1,08,737- 47,599 (c) 8325 - 491 (d) 4,89,348 - 48,365

Answer»

Rounding Numbers is used to ease the calculation by adjusting the digits. We have to round off the values nearest to hundred and tens.

7275.

For the function f(x) = (8 - 2x)2 ,find f-1 . Determine whether f-1 is a function.

Answer» For the function f(x) = (8 - 2x)2,find f-1. Determine whether f-1is a function.

Solution:

7276.

If h(x) = x – 7 and g(x) = x2, find the value that is equivalent to (g*h)(5)?

Answer» (g*h)(5) =-50

We will use the concept of functions in order to find the required answer.

7277.

What is the inverse of the function f(x) = x – 12?

Answer» Answer : The inverse function of the functionf (x) = x - 12 is f-1(x) = x + 12.

We will use the concept of inverse function to find the inverse of the above function.

7278.

What is the area of the trapezoid?

Answer» The area of a trapezoid is A = (1/2) × (a + b) × h

Atrapezoidis a quadrilateral with one pair of parallel sides (which are known as bases).

7279.

What is the value of the magnitude of the difference of vectors a and b, |a - b|?

Answer» What is the value of the magnitude of the difference of vectors a and b, |a - b|?

Solution:

7280.

What is 3 to the second power?

Answer» 3 raised to the second power is equal to 9.

The exponent of a number shows how many times the number is multiplied by itself.

7281.

How many diagonals can be drawn from each vertex of a decagon?

Answer» The number of diagonals that can be drawn from each vertex of a decagon is 7.

A diagonal of a polygon is aline segmentthat is obtained by joining any two non-adjacent vertices.

7282.

Find the surface area and volume of a rectangular pyramid of length = 5 units, width = 4 units, and height = 7 units

Answer» For a rectangular pyramid of length = 5 units, width = 4 units, and height = 7 units, the Surface area is 86.132 square unitsand the volume is 46.666cubic units.

Arectangular pyramidis a three-dimensional object with arectanglefor a base and a triangular face corresponding to each side of the base.

7283.

What is 20 written as a fraction?

Answer» Thus, the required fraction will be 20 / 1.

A fraction is a ratio of numbers with an upper value denoting numerator and a lower one denoting denominator.

7284.

What is 7 degrees Celsius in Fahrenheit?

Answer» Temperature at 7° Celsius is equal to the temperature at 44.6°Fahrenheit.

To measuretemperaturewe use two different types of units or scales, namely,CelsiusandFahrenheit.

7285.

Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y = 9?

Answer» Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y = 9?

Solution:

7286.

What is 10to the 5th power?

Answer» The value of 10 raised to the 5thpower is 100,000.

The exponent of a number shows how many times the number is multiplied by itself.

7287.

If you know that a person is running 100 feet every 12 seconds, you can determine their __________.

Answer» A person is running 100 feet every 12 seconds, we can determine their speed.

We will use the concept of speed, distance, and time in order to find the required answer.

7288.

Find the value of 10 to the power of negative 2?

Answer» The value of 10 to the power of negative 2 is 0.01

We will be usingthe concept of theexponentrulesfor the solution.

7289.

Using the quadratic formula to solve x2+ 20 = 2x, what are the values of x?

Answer» x = [ 2±√76 i] / 2 are the solutions of the quadratic equationx2+ 20 = 2x.

The quadratic formula is an effective way of solving quadratic equations especially when the splitting of the middle term is not feasible.

7290.

What is 30% as a fraction?

Answer» 30% can be represented as 3/10 infractional form.

A fractioncan be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing. All fractions consist ofa numerator and a denominator.

7291.

If sinθ = 3 over 7 and tanθ < 0, what is the value of cosθ?

Answer» If sin θ = 3 over 7 and tan θ < 0, what is the value of cos θ?

Solution:

7292.

1) 0 2) A2 3) A 4) B

Answer» If A = 1 and B = 0, the value of (A) (A+B) = A2and A

Consider the expression, (A) (A+B) and substitute the values in the expression and we will choose the correct answers from the given options.

7293.

Choose the right answer from the following | If A = 1 and B = 0, what is the value of (A) (A+B)?

Answer» If A = 1 and B = 0, the value of (A) (A+B) = A2and A

Consider the expression, (A) (A+B) and substitute the values in the expression and we will choose the correct answers from the given options.

7294.

For what values of a and b is the line 2x + y = b tangent to the parabola y = ax² when x = 5?

Answer» For what values of a and b is the line 2x + y = b tangent to the parabola y = ax² when x = 5?

Solution:

7295.

What is half of 1 and 3/4?

Answer» Half of 1 is expressed as 1/2 and the half of 3/4 is expressed as 3/8.

The multiplication of fractions starts with the multiplication of the given numerators, followed by the multiplication of the denominators.

7296.

Find the general solution of the given second-order differential equation. 3y'' + 2y' + y = 0

Answer» Find the general solution of the given second-order differential equation.
3y'' + 2y' + y = 0

Solution:

7297.

What is 30 degrees Celsius in Fahrenheit?

Answer» 30°Celsiusis equal to 86°Fahrenheit.

The two different types of units that are used to measuretemperatureareCelsiusandFahrenheit.

7298.

For what values of r does the function y = erxsatisfy the differential equation 2y'' + y' - y = 0.

Answer» The values of r that saisfies the differential equation2y'' + y' - y = 0 is1/ 2 or - 1.

To find the values of r for the function f (x) =erx, we will use the chain rule of differentiation and the concept of the differential equation.

7299.

If an object travels at five feet per second, how many feet does it travel in one hour?

Answer» If an object travels at five feet per second, then it travels 18000 feet in one hour.

The speed generallyis defined as distance per unit of time.

7300.

What is0.63 as a fraction?

Answer» 0.63 as a fraction is 63/100

We use fractions to write a part of a whole.