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7351.

4 out of 6 is what percent?

Answer» 4out of 6 is represented as 66.67% in the percentage form.

Percentage is a fraction orratio in which the value of the whole is always 100.

7352.

In the figure above, the radius of the circle with center O is 1 and BC = 1. What is the area of triangular region ABC ?

Answer» In the figure above, the radius of the circle with center O is 1, and BC = 1. What is the area of triangular region ABC?

finding the area of the triangle inscribed in the circle

7353.

The value of the variable that makes the equation true is called what?

Answer» The value of the variable that makes anequation true is called the solution of the equation.

Equations can be called the backbone of mathematics. There are many types of equations that have different properties, like quadratic, linear, cubic, biquadratic etc. Equations can consist of one or more variables. Let's know an interesting fact about equations on this page.

7354.

What is the base unit for volume in the metric system?

Answer» The basic unit of volume in the metric systemis cubic meters and liters.

A metric system is a system of measurements with various basic units of length, mass, and volume. It is the standard system adopted by most countries worldwide. The United States still uses the imperial system of measurement and not the metric system like most other countries.

7355.

(d) 345

Answer» c) 322

The LCM (Least Common Multiple)of two numbers a and b is the smallest number which is exactly divisible by both the numbers a and b.

7356.

(c) 322

Answer» c) 322

The LCM (Least Common Multiple)of two numbers a and b is the smallest number which is exactly divisible by both the numbers a and b.

7357.

(b) 299

Answer» c) 322

The LCM (Least Common Multiple)of two numbers a and b is the smallest number which is exactly divisible by both the numbers a and b.

7358.

(a) 276

Answer» c) 322

The LCM (Least Common Multiple)of two numbers a and b is the smallest number which is exactly divisible by both the numbers a and b.

7359.

The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger of the two numbers is:

Answer» c) 322

The LCM (Least Common Multiple)of two numbers a and b is the smallest number which is exactly divisible by both the numbers a and b.

7360.

What is the simple interest of a loan for Rs. 1,000 with 5 percent interest after 3 years?

Answer» What is the simple interest of a loan for Rs. 1,000 with 5 percent interest after 3 years?

Solution:

7361.

Find the area of a square park whose perimeter is 320 m.

Answer» The area of a square park whose perimeter is 320 m is 6400 m2.

A square has four equal sides. The perimeter of a square equals 4 times its side length, whereas the area of a square equals the square of its side length.

7362.

The LCM of two numbers is 48 and their HCF is 8. If one number is 16, then find the other number.

Answer» If the LCM of 2 numbers is 48 and their HCF is 8 and if one of the numbers is 16, then the other number is 24.

​Theleast common multipleis the smallest number which is exactly divisible by both the given numbers.

7363.

Find the first partial derivatives of the function. f(x, y) = ax + by cx + dy

Answer» Partially differentiating the function f(x, y) = ax + by cx + dy with respect to x and y, we get (a + bcy) and (bcx + d) respectively.

Partial differentiation means, differentiating with respect to a single variable while keeping other variables as constants in the expression.

7364.

How to evaluatea linear expression usinginteger multiplication with addition or subtraction?

Answer» Follow the operation on integers toevaluate a linear expressionusing integer multiplication with addition or subtraction.

Integers are the numbers that can be positive, negative, zero, or numbers with no fractional part.

7365.

Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -6), (0, 6); Vertices: (0, -8), (0, 8)

Answer» Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -6), (0, 6); Vertices: (0, -8), (0, 8)

Solution:

7366.

What are all the factors of 16?

Answer» The factors of 16 are 1, 2, 4, 8, and 16.

A number that divides anothernumberwithout leaving anyremainderis called thefactorof that number.

7367.

What is the difference between medians and altitudes?

Answer» The difference between medians and altitudes is that amedianis drawn from a vertex of the triangle to the midpoint of the opposite side, whereas an altitudeis drawn from a vertex of the triangle to the opposite side being perpendicular to it.

Medians and altitudes are drawn in a triangle.

7368.

The interest rate per period multiplied by the number of periods in a year is called?

Answer» It is known as the annual rate of interest.

We will use the concept of simple and compound interest in order to find the required answer.

7369.

What is the solution to equation 1 over the square root of 8 = 4(m + 3)?

Answer» What is the solution to equation 1 over the square root of 8 = 4(m + 3)?

Solution:

7370.

What is the slope of the line represented by the equation y = -x?

Answer» What is the slope of the line represented by the equation y = -x?

Solution:

7371.

How do you find the probability of getting a red face card in a deck of 52 cards?

Answer» The probability of getting a red face card in a deck of 52 cards is3/26.

Probability is the possibility of the occurrence of a favorable outcome to a random event. It is the ratio of thenumber of favorable outcomes to the total number of trials.

7372.

What is the inverse of the function f(x) =(x/9) + 2?

Answer» What is the inverse of the function f(x) = (x/9) + 2?

Solution:

7373.

Find the slope of the line that passes through the points (7, 1), (1, 10).

Answer» Find the slope of the line that passes through the points (7, 1), (1, 10).

Solution:

7374.

The radius of a sphere is 3 inches. Which represents the volume of the sphere? 12π cubic inches, 36π cubic inches, 64π cubic inches, 81π cubic inches

Answer» The radius of a sphere is 3 inches. Which represents the volume of the sphere?

Solution:

7375.

Find the value of the expression 4a4 - 2b2 + 40 when a = 2 and b = 7.

Answer» Find the value of the expression 4a4- 2b2+ 40 when a = 2 and b = 7.

Solution:

7376.

How to express 2to the power of 15?

Answer» 2to the power of 15can be expressed as 215= 2× 2× 2× … 15 times = 32,768.

Powers orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 4to the power of 3 means 4is multiplied 3 times.

7377.

Determine if the graph of r = 4cos5θ is symmetric about the x-axis, the y-axis, or the origin.

Answer» Determine if the graph of r = 4cos5θ is symmetric about the x-axis, the y-axis, or the origin.

Solution:

7378.

What is 7/20 as a decimal?

Answer» 7/20 as a decimal is equal to 0.35.

Thefractionsanddecimalsare just two ways to represent the same numbers.

7379.

What is equivalent to 2/3?

Answer» The fractions equivalent to 2/3are 4/6, 6/9, 8/12, etc.

To find the equivalent fractions for any given fraction, we divideor multiplythe numerator and thedenominatorby the same number.

7380.

Solve the following equation −3x − 6 = 5x + 9.

Answer» x = -15 / 8

We will use the concept of linear equations in order to solve the above equation.

7381.

How do you graph the inequality x - 2y ≤ 4?

Answer» How do you graph the inequality x - 2y ≤ 4?

Solution:

7382.

How do you multiply a whole number by a fraction?

Answer» To multiply a whole number by a fraction the whole number is converted into a fraction with denominator 1 and is multiplied by the given fraction

Whole numbers are all natural numbers including 0

7383.

How to express 5to the power of 6?

Answer» 5to the power of 6can be expressed as 56= 5× 5× 5× 5× 5× 5 =15,625.

Powers orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 4to the power of 3 means 4is multiplied 3 times.

7384.

Write the number in words. (1) 12000 (2) 1212 (3) 6302 (4) 5032

Answer» Write the number in words. (1) 12000 (2) 1212 (3) 6302 (4) 5032

Solution:

7385.

Find the HCF and LCM of 12 15 18 and 27?

Answer» LCM of 12 15 18, and 27 is 504, and the HCF of 12, 15, 18, and 27 is 3

To find the Least Common Multiple (LCM) of a, b, c and d, we need the least number which is exactly divisible by all the numbers a, b, c, and d without leaving any remainder.

7386.

If an item has a retail price = $475 and a discount of $45, what percentage discount is offered?

Answer» If an item has a retail price = $475 and a discount of $45, what percentage discount is offered?

Solution:

7387.

If a = b and b = c then comment on a = c.

Answer» By using commutative property, if a = b and b = c, thena = c.

We will use the concept of commutative property to comment on the relation between a and c.

7388.

What is 34 degrees Celsius in Fahrenheit?

Answer» The temperature of 34 degrees Celsius in Fahrenheitis 93.2ºF.

FahrenheitandCelciusare different types of units to measuretemperature.

7389.

Use a technique used to rewrite thequadratic function x2+6x + 8from standard form to vertex form.

Answer» The equationx2+6x + 8 in vertex form is represented as[(x + 3)2- 1].

Quadratic equations are equations with a degree of two. They can be represented in the standard form ax2+ bx + c as well as in the vertex form a(x - h)2+ k = 0.

7390.

How to express 2to the power of 16?

Answer» 2to the power of 16can be expressed as 216= 2× 2× 2× 2×… 16 times = 65,536.

Powers orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 4to the power of 3 means 4is multiplied 3 times.

7391.

How can youfind the area of a square in a circle?

Answer» The area of the square ABCD is 2r2.

Let square ABCD be inscribed in a circle with radius r and center O.

7392.

How to express 2to the power of 64?

Answer» 2to the power of 64can be expressed as 264= 2 × 2 × 2 × 2 ×… 64 times =1.8446744e+19

Powers orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 7to the power of 3 means 7is multiplied 3 times.

7393.

Identify and calculate the area and perimeter for each triangle.

Answer» (a)Perimeter = 30 units and Area =30 square units (b)Perimeter = 18units and Area =9⎷3 square units

The area and perimeter for each triangle.

7394.

How to express 5to the power of 5?

Answer» 5to the power of 5 can be expressed as 55= 5× 5× 5× 5× 5 = 3,125.

Powers orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 6to the power of 3 means 6is multiplied 3 times.

7395.

What is a three-dimensional shape?

Answer» A three-dimensional shape can be defined as a solid object that has three dimensions – length, width and height.

Athree-dimensional shape is characterized by three dimensions.

7396.

How do you know if two line segments are parallel?

Answer» If any pair of corresponding angles,alternate interior angles,alternate exterior angles are equal or consecutive interior anglesare supplementary, thentwo line segments are parallel

Parallel lines never cut (intersect)or meet each other, and they lie on the same plane.

7397.

How to find the area of a circle with circumference?

Answer» The area of a circle with circumference is calculated with the formula: Area = C²/4π where 'C' is the circumference of the circle and 'π' is the constant with a value of 22/7 or 3.14

The circumference of a circle is calculated with the formula (C) =2πrand the area of a circle is calculated with the formula (A) =πr²,where 'r' denotes the radius of the circle.

7398.

How to express 2to the power of 9?

Answer» 2to the power of 9can be expressed as 29= 2× 2× 2× 2×2× 2× 2× 2×2 = 512.

Power orexponentsaredefined as the total number of times we use the number ina multiplication.For example, 4to the power of 3 means 4is multiplied 3 times.

7399.

(b) The temperature at the tops of the clouds in the atmosphere of Saturn(95 K)

Answer» Kelvin temperatures converted to the Celsius and Fahrenheit scales are as follows:

Kelvin, Celcius, and Fahrenheit are three different units to measure temperature. Every unit can be converted to another unit with the help of a conversion formula.

7400.

(a) The midday temperature at the surface of the moon (400 K)

Answer» Kelvin temperatures converted to the Celsius and Fahrenheit scales are as follows:

Kelvin, Celcius, and Fahrenheit are three different units to measure temperature. Every unit can be converted to another unit with the help of a conversion formula.