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Answer:

BC = 143

JC = 10

Step-by-step explanation:

      In similar triangles, the corresponding sides are in same ratio.

   ΔABC ~ ΔAGH

         [tex]\sf \dfrac{BC}{GH} = \dfrac{AB}{AG}\\\\\\\dfrac{BC}{22}=\dfrac{130}{20}\\\\[/tex]

            [tex]\sf BC =\dfrac{130}{20}*22[/tex]

                   = 13 * 11

            [tex]\sf \boxed{BC = 143}[/tex]

11) ΔJLK ~ ΔJBC

          [tex]\sf \dfrac{JC}{JK} = \dfrac{JB}{JL}\\\\\\\dfrac{JC}{40}=\dfrac{12}{48}\\\\JC = \dfrac{12}{48}*40\\\\JC = \dfrac{1}{4}*40\\\\JC = 1*10\\\\\boxed{\bf JC = 10}[/tex]

The total volume of the tank is 400π + 78.72 cubic metres. To the nearest cubic meter, it is approximately 400π + 79 cubic metres.

What is the volume of a cylinder?

The volume of a cylinder is the amount of space inside the cylinder. It can be calculated by multiplying the area of the base by the height of the cylinder. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base of the cylinder and h is the height.

The tank is shown as a cylinder with a rectangular prism on top. To find the volume of water the tank can hold, we will need to find the volume of the cylinder and the rectangular prism separately, and then add them together.

The cylinder has a radius of 5 metres and a height of 8 metres. The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. So the volume of the cylinder is V = π(5²)(8) = 400π cubic metres.

The rectangular prism has a length of 4.2 metres, a width of 2.2 metres and a height of 8 metres. The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width and h is the height. So the volume of the rectangular prism is V = (4.2)(2.2)(8) = 78.72 cubic metres.

So the total volume of the tank is 400π + 78.72 cubic metres. To the nearest cubic meter, it is approximately 400π + 79 cubic metres.

Please note that since π is an irrational number, the value of 400π is not an exact value, but an approximation.

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With the help of the given equation, we know that the required slope is (A) 3/8.

In math, the gradient of a line is a number that tells you how steep it is and in which direction it goes in.

The point-slope form is a way of writing equations (y-y₁=m(x-x₁)) to emphasize the slope and a point on the line that isn't the y-intercept.

To highlight the same line's slope and y-intercept, you can rewrite the equation in slope-intercept form (y=mx+b).

So, we have the equation:

-3x + 8y = 12

Calculate the slope as follows:

We need to change it into a more general format.

-3x+8y=12

⇒ 8y = 3x+12

⇒ y = 3x/8+12/8

⇒ y = 3x/8+3/2

If you look at it in terms of y = mx+c, the m would be 3/8.

Therefore, with the help of the given equation, we know that the required slope is (A) 3/8.

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Complete question:

Select the correct answer. What is the slope of the line represented by this equation? -3x + 8y = 12

a. 3/8

B. 4/8

C. 8/4

D. 2

answer:B. 90 good luck I hope you pass

The answer is B which is 90

The formula of the minor sector =  (θ/360°) × π r²

The formula of the minor segment = (θ / 360°) × πr² - (1/2) r² sin θ (OR) r² [πθ/360° - sinθ / 2] if 'θ' is in degrees

What is a segment of a circle?

A circle's arc and chord together define a segment, which is the area within that region. Let's go over what a circle's arc and chord signify once more.

What is a sector of a circle?

The term "Minor Sector" refers to the tiny area of a circle that is removed by two circle radii. The minor sector is a tiny area occupied by two radii.

Here,

We have to find the formula of the minor sector and minor segment.

We concluded that

The formula of the minor sector =  (θ/360°) × π r²

The formula of the minor segment = (θ / 360°) × πr² - (1/2) r² sin θ (OR) r² [πθ/360° - sinθ / 2] if 'θ' is in degrees.

Hence, the formula of the minor sector is  (θ/360°) × π r².

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The standard form of polynomial 2x³ + 8x² -23x +6.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

An expression that consists of exponents, constants, and variables that are concatenated using mathematical operations is referred to as a polynomial.

Given:

(x+6)(2x²-4x+1)

Multiplying the polynomial

= 2x³  -4x² + x + 12x² - 24x + 6

= 2x³ -4x² + 12x² + x -24x + 6

= 2x³ + 8x² -23x +6

Hence, the required polynomial is  2x³ + 8x² -23x +6.

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Answer:

slope=-3/4

y=5/4

Step-by-step explanation:

attached wrk here

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The angle measures of the triangle are :

And since it has an angle measuring 90° (right angle), so conclusion can be made that the given triangle is a right angled triangle.

Hence, correct choice is ;

[tex]\qquad \sf  \dashrightarrow \: \bf right[/tex]

MN, RS, and NP in this triangle are, respectively, 410, 400, and 320 when MN = 5x + 10.

Given that it has three sides and three vertices, a triangle is a polygon. It is one of the fundamental geometrical forms. Triangle ABC is the term used to describe a triangle containing the vertices A, B, and C.A triangle is a polygon because it has three sides and three corners. The points at which the three sides of the triangle converge are referred to as its corners. Three triangle angles can be multiplied to get 180 degrees.

given

as AMNP-ARST

the x = 80

so MN = 5 * 80 + 10

= 410

RS = 6* 80 - 8

= 400

MN, RS, and NP in this triangle are, respectively, 410, 400, and 320 when MN = 5x + 10.

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Answer:

33 containers.

Step-by-step explanation:

Dividing 296 by 9 gives you 32.89, rounding up to the next whole number gives you 33 containers.

Answer:

The answer is

30 degrees is acute angle

60 degrees is also acute angle

90 degrees is right angle

Step-by-step explanation:

anything below 90 degrees is acute angle

90 degrees creates a perfect square which is a right angle

The given statement as an expression is y = 7 + 2x

From the question, we have the following parameters that can be used in our computation:

A mathematical statement

The mathematical statement is given as

7 points more than twice the number of points scored by the other team

Represent the points with x and y

So, we have the following representation

7 points more than twice x is  y

is equal to implies =

So, we have:

7 points more than twice x = y

more than implies +, twice implies 2 times

This gives

7 + 2 * x = y

Evaluate

7 + 2x = y

Rewrite as

y = 7 + 2x

The question does not require that we solve the expression

So, we leave it at y = 7 + 2x

Hence, the required expression is y = 7 + 2x

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Answer: There would be 240 oranges in 12 baskets.

Step-by-step explanation:

So, if there's 20 oranges per basket, you would just need to multiply 20 oranges by the 12 baskets.

20 x 12 = 240.

So the possible values of (z+1/z) are 6 and 0 for z=5 and z=-1 respectively.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.

We can start by multiplying both sides of the equation by (z+1/z) to get:

(z-1/z)(z+1/z) = 6(z+1/z)

This simplifies to:

z^2 - 1 = 6z + 6

We can then solve for z by isolating it on one side of the equation.

z^2 - 6z - 5 = 0

(z-5)(z+1) = 0

So the solutions to this equation are z = 5 and z = -1

Now we can substitute the value of z back into the original expression to find the value of (z+1/z)

For z = 5, (z+1/z) = (5+1/5) = 6

For z = -1, (z+1/z) = (-1+1/(-1)) = 0

So the possible values of (z+1/z) are 6 and 0.

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Triangular (comparative more triangular, superlative most triangular) (comparative more triangular, superlative most triangular) a triangle-shaped form.

The entire area bounded by any triangle's three sides is referred to as the triangle's area. In essence, it is equivalent to 1/2 of base times height, or A = 1/2 b times h.

The Great Pyramid held the record for the world's highest building for more than 4,000 years, standing at 146.5 m (481 ft) tall. After losing 9.5 meters (31 feet) off the top, it is now 137 meters (449.5 feet) high.

S2(A2)2 is a formula that calculates the height of a square pyramid. In this example, a represents the length of the square base edge and s represents the square pyramid's slant height. Given by a2(h3) is the volume of the square pyramid.

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Answer:

What is this on

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

x=2

12x+84

12(2)+84

24+84=108

There are two points: one at x1, y1 and the other at x2, y2. A point with an x value of x one plus x .

The number of rotations that a geometry can fit into is determined by its order of rotational symmetry. The degree of rotational symmetry is expressed as 360°A°, where A° is the lowest angle by which a figure may be rotated from its rotated shape to its original shape. 360 degrees The number of rotations a perfect circle can undergo while still preserving its shape is a measure of a shape's degree of rotational symmetry. A full 360° revolution won't look the same until a triangle is placed back in its initial starting position.

given

There are two points: one at x1, y1 and the other at x2, y2. A point with an x value of x one plus x .

two all divided by two lies directly between the two points. Its y coordinate is equal to y1 plus y2 divided by 2.

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Answer:

12

Step-by-step explanation:

What is GCF(greatest common factor)?

The GCF of a, b is the largest positive number that divides both a and b without a remainder

Prime factors of a number are the prime numbers that when multiplied together result in the number

Prime factors of 24
24 = 2 x 12

12 = 3 x 4

4 = 2 x 2

So prime factorization  of 24 are 2 x 3 x 2 x 2 = 2³ x 3

Prime factors of 60:
60 = 2 x 30

30 = 2 x 15

15 = 3 x 5

Prime factorization  of 60: 2 x 2 x 3 x 5 = 2² x 3 x 5

Find the factors that are common to both 24 and 60:

2² and 3

2² x 3 = 4 x 3 = 12

So the GCF is 12

This is the greatest number that can divide 24 and 60 without a remainder

The value of y in the equation is 44.

What is equation ?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. A lot of specialists, such as air traffic controllers, architects, computer programmers, and carpenters, employ equations on a daily basis.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

46 + 46 + y + y = 180

2y = 180 - 46 - 46

2y = 180 - 92

y = 88 / 2

y = 44

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Answer:

For the hexagon, the sum of all angles must be equal to 360. So, we have 360 divided by 6 and we have 60 and this is the angle for the hexagon. For the pentagon, again, the sum of all the angles must be equal to 360, so each angle is equal to 360/5 = 72.

The difference between 72 and 60 is equal to y which is 12.

Step-by-step explanation:

The domain of this function is all real numbers from -54 to 60.

Real numbers are any number that can be expressed on the number line. They include natural numbers, whole numbers, integers, rational numbers and irrational numbers. Real numbers can be expressed as decimals, fractions, or in scientific notation. Real numbers can also be positive, negative, or zero. They are used in mathematics to represent a wide variety of physical quantities, such as distances, velocities, and forces.

Real numbers are numbers that represent an exact quantity, such as whole numbers and fractions. To find real numbers, you can use the standard number line or the decimal point system. The number line is a graphical representation of all real numbers, and it starts with the positive numbers on the right and the negative numbers on the left. The decimal point system assigns place values to each digit in a number, and the real numbers are the numbers that have non-repeating digits.

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The second derivative test for a multivariable function is generally in a positive definite quadratic form.

In mathematics, the second partial derivative test is a method in multivariable calculus which used to determine if a critical point of a function is a local minimum, maximum or saddle point.

A partial derivative of a multivariable function is a derivative with regard to one variable with other variables adhered constant. It is used to describe the concepts of gradient, divergence, and curl in terms of partial derivatives.

The second derivative of a function is directly the derivative of the function's derivative. Let's consider, as an example, the function f(x) = x^3 + 2x^2.

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The height of a triangle is calculated to be 18 cm if its base is 24 cm and its area is 216 cm².

Given that,

Base = 24 cm

Area = 216 cm²

Height = ?

The formula to find out the area of the triangle is given by,

Area A = 1/2 × Base b × Height h

A = 1/2 × b × h

Making h as subject, we have,

h = (2 A)/b = (2× 216)/24 = 18 cm

Thus, the required height of a triangle is calculated to be 18 cm if its base is 24 cm and its area is 216 cm².

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The minimum value is 0.5 and the maximum value is 3.5.

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The value of a for the given expression will be 2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression will be 8 x 88 = 8x (90-a). The value of a will be calculated as,

8 x 88 = 8x (90-a)

88 = 90 - a

a = 90 - 88

a = 2

Hence, the value of a will be 2.

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The additive inverse of 6 /- 13 is -6 /+ 13, which means that the two numbers have the same magnitude but opposite signs.

The additive inverse of a number is the number that needs to be added to the original number to get a result of zero. In other words, the additive inverse of a number is the opposite of the number in terms of sign. To find the additive inverse of 6 /- 13, we must multiply the negative sign of -13 by -1 to change it to a positive. This means that the additive inverse of 6 /- 13 is -6 /+ 13. This means that the two numbers have the same magnitude but opposite signs. To verify this, we can add the two numbers together. 6 /- 13 + -6 /+ 13 = 0. Therefore, the additive inverse of 6 /- 13 is -6 /+ 13.

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it’s 12

Step-by-step explanation:

Answer:ontinuing this process shows that for 16 teams, there are 8 + 4 + 2 + 1, or 15 total games. Using brackets can be done for any number of teams.

Step-by-step explanation:

To obtain a 40% alcohol solution from a 22% solution, you need to add 18% more alcohol.

100 ml of 22% alcohol solution contains 22 ml of pure alcohol and 78 ml of other ingredients.

Therefore, to obtain a 40% solution, you need 40 ml of pure alcohol in every 100 ml of solution.

So, 18 ml of pure alcohol should be added to 100 ml of 22% solution to obtain 40% solution.

Another way to calculate this is:

You can calculate the amount of pure alcohol you need to add by multiplying the initial volume of the solution (100ml) by the percentage increase in alcohol content (18%) .

100ml * 18% = 18ml

So you would need to add 18ml of pure alcohol to 100ml of 22% alcohol solution to obtain a 40% alcohol solution.

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