The value of a dependent variable in a function is always blank the value of independent variable

The area of the composite figures are as follows;

10. Area of the trapezoids are; 96 cm², 80 cm², 96 cm², 80 cm²

Area of the rectangle at the center =  320 cm²

11. Area of the field on the left is 18,600 m²

Area of the field on the right is 11,000 m²

A composite figure is a figure that consists of two or more regular shapes.

10. The width of each trapezoid are;

(28 - 20)/2 = 4

(24 - 16)/2 = 4

The area of each trapezoid are;

The area of each of the left and right trapezoid = 4 × (20 cm + 28 cm)/2 = 96 cm²

Area of the top and bottom trapezoid = 4 × (16 cm + 24 cm)/2 = 80 cm²

Area of the rectangle at the center = 16 cm × 20 cm = 320 cm²

11. Area of ΔDEI = 0.5 × 80 m × 60 m = 2400 m²

Area of trapezoid EIGF = 0.5 × (60 m + 50 m) × (60 m + 20 m) = 4400 m²

Area of the triangle ΔAGF = 0.5 × 50 m × 80 m = 2000 m²

Area of ΔAHC = 0.5 × 40 m × (20 m + 80 m) = 2000 m²

Area of ΔABC = 0.5 × 30 m × (20 m + 80 m) = 1500 m²

Area of quadrilateral AHCB =  2000 m² + 1500 m² = 3500 m²

Area of triangle ΔCDH = 0.5 × 40 m × (80 m + 60 m) = 2800 m²

Adding together, we get;

2400 + 4400 + 2000 + 2000 + 1500 + 3500 + 2800 = 18,600

The area of composite figure is 18,600 m²\

Area of ΔEFH = 0.5 × 20 m × 40 m = 400 m²

Area of trapezoid GFHJ = 0.5 × (20 m + 40 m) (40 m  + 40 m) = 2400 m²

Area of triangle ΔAGJ = 0.5 × 40 m ×(20 m + 60 m) = 1600 m²

Area of triangle ΔABK = 0.5 × 30 m × 60 m = 900 m²

Area of trapezoid BCF_K = 0.5 × (40 m + 30 m) × (40 m + 20 m) = 2100 m²

Area of triangle ΔCIE = 0.5 × 40 m × (40 m + 40 m) =  1600 m²

Area of triangle ΔCDE = 0.5 × 50 m × (40 m × 40 m) = 2000 m²

Adding the areas together, we get;

400 + 2400 + 1600 + 900 + 2100 + 1600 + 2000 = 11000

The area of the field is 11,000 m²

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The graph shows the  inequality x² ≤ 16

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

Inequalities are often used to describe conditions or constraints in real-world problems.

You will notice that the values represented in the graph ranges from -4 to 4. Thus, solving x² ≤ 16 will produce these values. That is:

x² ≤ 16

x ≤ ±√16

x ≤ ±4

x ≤ -4 or x ≤ 4

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Answer:

4x2=8

Step-by-step explanation:

This equation is simple and easy cause its base sick math

Answer:

im on that question too thats crazy

Step-by-step explanation:

Answer:

68 = 2L + 2(9)

Step-by-step explanation:

Just write down exactly what it says!

The perimeter of a rectangle is 68 inches

68

The perimeter equals twice the length of L inches

68 = (2 × L)

Plus twice the width of 9 inches.

68 = (2 × L) + (2 × 9)

Now just clean up the equation.

68 = 2L + (2 × 9)

68 = 2L + 2(9)

The answer is 68 = 2L + 2(9).

Answer:

Step-by-step explanation:

50 sum i think

1) We can explain why the area is πr² by assuming the figure as a rectangle, 2) Diameter = 24.20 cm, Area = 452.91 cm² and 3) the area of the table is 1074.66 in²

The circle is a 2D geometrical figure, with no side or angle, and is made a collection of points.

Given that, 1) a circle with circumferences = 2πr and radius = r, 2) a circle having circumferences = 76 cm and 3) Jada is painting a table having diameter 37 in.

1) Assume the figure as a rectangle, (refer to attached figure)

We get, the length of it is πr and width is r.

And the area of a rectangle is = the Product of length and width.

So, we can conclude that the area of this rectangle is = πr×r = πr²

Therefore, by assuming the figure as a rectangle, we can explain why the area of a circle is πr²

2) circumferences = 2πr

2πr = 76

πr = 38

r = 38/3.14  (π ≈ 3.14)

r = 12.01 cm

Diameter = 2r

D = 2x12.01 = 24.20 cm

Area = πr²

= 3.14x12.01²

= 452.91 cm²

3) Diameter = 37 in

r = 37/2 = 18.5 in

Area = πr²

= 3.14x18.5²

= 1074.66 in²

Therefore, the area of the table is 1074.66 in²

Hence, the answers are 1) We can explain why the area is πr² by assuming the figure as a rectangle, 2) Diameter = 24.20 cm, Area = 452.91 cm² and 3) the area of the table is 1074.66 in²

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Answer:

cost of 113 sodas =141.25

cost of 1 soda=141.25/113

=1.24

Answer:

csc θ * sin θ

Simplified using trig identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

Step-by-step explanation:

Expression in sin θ and cos θ below

4cos ec^2  2θ as 2 /    2 (4 sin θ cos θ )^2

or

cos ec^2 θ as 1 / sin ^2  θ

. Accept terms like

cos ec^2 θ = 1  +cot^2 θ =1 +  cot^2 θ /sin^2 θ

Answer: x/20=25

Step-by-step explanation:

You'll have to take the variable and divide it by 20 to equal 25.

How you do that is by subtracting 20 from 25, then you should get x=5, which would be your answer to the problem itself.

a =72.97 and c=8.62

a) To find out the value of a let's use the Law of Sines. This way:

And the fact that the sum of the interior angles within a triangle is always 180º so, m∠B =180-(80+35) , m∠B = 65º. Now let's plug that information into that:

b) Let's find the value of that angle A, at first. m∠A =180-(52+26), m∠A=102º

Likewise, we're going to adopt the same way to find the measure of leg c:

2) Hence, the answers are a =72.97 and c=8.62

Answer:

s = 8

Step-by-step explanation:

18 × s =12 × 12

18s = 144

dividing both sides of the equation by 18 gives

s =144/18

s = 8

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

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 indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

The probability that all of them get the same number is 1/36.

Given :

Three people are asked to throw a fair die.

Probability :

Probability is a branch of mathematics that deals with the occurrence of a random event.

In one dice probable outcomes 1, 2, 3, 4, 5 and 6

Total out comes in three dice = ( 6 * 6 * 6 = 216 )

Probability of getting 1 = 1/216

Similarly for 2, 3, 4, 5 and 6

Probability of getting same number = 6 * 1/6 * 1/6 * 1/6

= 6*1/6 * 1 * 1 / 6 * 6

= 6/6 * 1/36

= 1 * 1/36

= 1/36

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You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

$6.40

Step-by-step explanation:

2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640

Step-by-step explanation:

Slope of the given line is 3, so slope of the perpendicular line is also 3.

using pt slope form,

y+3=3(x-6)

y+3=3x-18

y=3x-21

Given

The triangle ABC at points A = (2, 2) B = (4, 5) C = (6, 3).

To find:

You can determine the product of a monomial and a polynomial by using the distributive property (c) to expand.

The distributive property is a property in algebra that can be used to simplify expressions involving multiplication and addition.

In this situation, the distributive property is used to expand the multiplication of a monomial and a polynomial. The distributive property states that multiplying a single term by a sum or difference is the same as multiplying the term by each term in the sum or difference and then combining the results.

A monomial is an algebraic expression consisting of a single term, which is a combination of numbers, variables, and exponents, that is multiplied together. For example, 5x, 3y², and -4xy are all examples of monomials.

A polynomial is an algebraic expression that consists of two or more terms that are added together. It can contain variables, constants, and exponents, and can be of any degree. For example, 2x² + 3x - 5, 4x³ - 2x² + x, and -5x + 7 are all examples of polynomials.

Hence, the correct answer is Option C.

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Answer:

\(\frac{1}{a} =\frac{1}{b} +\frac{1}{c} \\ \\\frac{1}{a} = \frac{1}{3} + \frac{1}{2/3} \\\\\frac{1}{a} = \frac{1}{3} + \frac{3}{2}\\\\\frac{1}{a} = \frac{11}{6}\\\\a = \frac{6}{11}\)

One faces a tradeoff between the number of courses and hours of work due to limited available time. Taking X courses while working X hours per week is impossible as it exceeds the time constraint.

The tradeoff between the number of courses and hours of work arises due to the finite number of hours available in a week. Assuming an individual has X hours per week, this time must be divided between courses and work.

To achieve a B or better in a course, it is necessary to dedicate at least X hours per course per week. Therefore, taking X courses while working X hours per week would require dedicating X hours per course, resulting in a total time commitment exceeding the available X hours.

Conversely, if only one class is taken while working X hours per week, the time commitment for a single course is less than X hours. This scenario leaves a significant amount of free time remaining, as the total time dedicated to the course and work does not exhaust the available X hours.

In summary, the tradeoff occurs because the time available is limited, and the minimum time requirement per course restricts the number of courses that can be taken while maintaining a specific work schedule.

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The marked price of the scooter that is sold with a 10% discount will be ₹94,444.44.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A scooter is sold at ₹ 85000 after allowing a discount of 10%.

Let 'x' be the marked price. Then the equation is given as,

10% of discount on x = ₹85,000

(0.90)x = ₹85,000

x = ₹85,000 / 0.90

x = ₹94,444.44

The marked price of the scooter that is sold with a 10% discount will be ₹94,444.44.

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Answer:

1/24

Step-by-step explanation:

i just took it

The probability that the sequence is guessed on the first try is 1/24.

Total colors available for making code=4

Colors required for making code=3

Hence:

Total ways of making code=4p3=4!/(4-3)!

=4×3×2×1/1

=24

Probability that the sequence is guessed on the first try=1/Total ways of making code

Probability that the sequence is guessed on the first try=1/24

Therefore the correct option is A.

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The equation in slope-intercept that represents lemonade in the container will be y = 25 - 2.5x.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Assume a restaurant has a container that contains 25 gallons of lemonade and sells lemonade at a pace of around 2.5 gallons per hour.

Let 'x' be the number of hours and 'y' be the amount of lemonade remaining in the container. Then the equation is given as,

y = 25 - 2.5x

The equation in slope-intercept that represents lemonade in the container will be y = 25 - 2.5x.

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According to the question and after using the Pythagorean theorem the length of one side of the roof is 7.416 metres.

The Pythagorean Theorem is a mathematical formula used to determine the length of the sides of a right triangle. It is named after the Greek mathematician Pythagoras, who is credited with discovering the formula in the 6th century BC. The theorem states that the sum of the squares of the two shorter sides of the triangle is equal to the square of the hypotenuse (the longest side of the triangle). In equation form, it is expressed as a² + b² = c², where a and b are the lengths of the two shorter sides of the triangle and c is the length of the hypotenuse.

We know that the hypotenuse is 8 metres (the width of the shed) and the two shorter sides are 3 metres (the height of the walls) and y (the length of the side of the roof).
Therefore, using the Pythagorean theorem, we have:
3² + y² = 8²
9 + y² = 64
y² = 55
y = √55
y = 7.416 metres
Therefore, the length of one side of the roof is 7.416 metres.

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Answer:

The answer is B.) 4a-12

Answer:

its answer b

Step-by-step explanation:

i took the test

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Answer:

the first picture would be concave and the second one would be convex

Step-by-step explanation:

Well concave means to go inwards and convex means to go outwards.

Answer:   Look below

Please Set Brainliest if this helps you.

Step-by-step explanation:

From the information you provided, it can get 8,16,24,32,40,48,...
This depends on how much is in each container.