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We can use the sine ratio to solve this problem and the value of x would be 8.604.

What are trigonometric ratios?

Trigonometric ratios are ratios of the side lengths of a right triangle with respect to its acute angles.

Sine (sin) ratio: The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given figure, we have given the hypotenuse of the triangle, and  an angle is given which is opposite to 35 degree, so we can use the sine ratio to find the value of x

sin35°= x/15

To solve for x, we can use the following steps:

Multiply both sides of the equation by 15 to isolate x:

sin 35° = x/15

15 * sin 35° = x

Use a calculator to approximate sin 35°:

sin 35° ≈ 0.5736

Substitute the approximation into the equation and solve for x:

x = 15 * 0.5736

x ≈ 8.604

Therefore, x is approximately equal to 8.604.

Hence, we can use the sine ratio to solve this problem and the value of x would be 8.604.

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a. 7/ 8

b. 7/ 3

c. 50 / 24

d. 29/ 6

A fraction is a part of a whole. It is also known as the number is expressed as a quotient, with the numerator is divided by the denominator.

Simple fractions are made up of both are integers.

Complex fractions has a fraction in the numerator or denominator

Proper fractions, have the numerator  less than the denominator.

a. 31/ 2÷ 4

7/ 2 ÷ 4

Take inverse of the second number and multiply

7/ 2 × 1/ 4

Multiply through

7/ 8

b. 3 2/ 3 ÷ 1 4/7

11/ 3 ÷ 11/ 7

Take inverse of the second number and multiply

11/ 3 × 7/ 11

Multiply through

7/ 3

c. 1/ 2 + 3/ 4 + 5/ 6

Find the LCM

12 + 18 + 20/ 24

We the have;

50 / 24

d. 11/ 2 - 2/ 3

Find the LCM

33 - 4/6

29/ 6

Thus, the answers are in improper fractions and can also be written in mixed fractions.

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Answer:

  about 3.08 L

Step-by-step explanation:

You want the number of litres in the volume of a cylindrical can 14 cm in diameter and 20 cm high.

A litre is a cubic decimeter, 1000 cubic centimeters. As such, it is convenient to perform the volume calculation using the dimensions in decimeters:

The volume of the cylinder is given by the formula ...

  V = (π/4)d²h . . . . . . . where d is the diameter and h is the height

  V = (π/4)(1.4 dm)²(2.0 dm) ≈ 3.079 dm³ ≈ 3.08 L

The cylindrical can will hold about 3.08 litres.

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9.49$

Answer:

c = 10 / x

Step-by-step explanation:

3(cx - 7) = 9

value in terms of c

c = 10 / x

The two column proof to show that m∠G + m∠K + m∠GHK = 180° is as detailed below.

A two-column proof is basically a geometric proof that consists of a list of statements, and the reasons for which those statements are true. The two column proof in this regard are;

Statement 1: GH║HJ

Reason 1: Given

Statement 2: ∠G ≅ ∠IHJ

Reason 2: Corresponding angles theorem

Statement 3: ∠K ≅ ∠JHK

Reason 3: Alternate Interior angles theorem

Statement 4: m∠IHK ≅ M∠IHJ + m∠JHK

Reason 4: Additive property of angle measure

Statement 5: m∠IHK ≅ m∠G + m∠K

Reason 5: Substitution property

Statement 6: m∠IHK + m∠GHK = 180°

Reason 6: Angles forming a linear pair sum to 180°

Statement 7: m∠G + m∠K + m∠GHK = 180°

Reason 7: Substitution

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In general, any symmetrical object will have a net torque of zero if the axis of rotation is through its center of mass.

It seems that the list of examples is missing from your question, so I'll provide a general explanation of situations where the net torque is zero. Please feel free to provide a list of examples for a more specific answer.

A net torque of zero about an axis perpendicular to the page and extending from the center means that the total clockwise torque is equal to the total counterclockwise torque. This can occur when:

1. There are no external forces acting on the system, so there is no torque.
2. The external forces are acting along the line of the axis, causing no rotation and hence no torque.
3. The clockwise and counterclockwise torques cancel each other out, resulting in a net torque of zero.

Some examples of objects that have a net torque of zero about the axis perpendicular to the page and extending from the center of the object are a sphere, a cube, a cylinder, and a cone.

Please provide the list of examples you'd like me to evaluate, and I'll be glad to help you determine which have a net torque of zero.

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The values of the variables, a, b, and c obtained from the equation of the circle and the coordinates of the point P are;

a) a = 2

b = -2

c = 4

The general equation of a circle is; (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The coordinates of the radius of the circle

The specified equation of a circle is; x² + y² = 9

The coordinates of the center of the circle, is therefore, O = (0, 0)

a) The coordinates of the points P  and O indicates that the gradient of OP, obtained using the slope formula is; ((3·√3)/4 - 0)/(3/2 - 0) = ((3·√3)/4)/(3/2)

((3·√3)/4)/(3/2) = (√3)/2

The specified form of the gradient is; (√3)/a, therefore;

(√3)/a = (√3)/2

a = 2

The value of a is 2

b) The gradient of the tangent to a line that has a gradient of m is -1/m

The gradient of OP is; (√3)/2, therefore, the gradient of the tangent at P is -2/(√3)

The form of the gradient of the tangent at P is b/(√3), therefore;

-2/(√3) = b/(√3)

b = -2

The value of b is; -2

c) The coordinate of the point on the tangent, (0, (7·√3)/c) indicates

Slope of the tangent = -2/(√3)

((7·√3)/c - ((3·√3)/4))/(0 - (3/2)) = -2/(√3)

((7·√3)/c - ((3·√3)/4)) = (3/2) × 2/(√3) = √3

(7·√3)/c = √3 + ((3·√3)/4) = 7·√3/4

Therefore; c = 4

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The paying off the credit card with the smallest balance first may not be the most mathematically optimal strategy.

The quantity of cups of espresso bought in ninety nine minutes follows a Poisson distribution with parameter λ = 99/33 = 3.

The chance of promoting no greater than one cup of espresso in ninety nine minutes can be calculated as follows:

P(X ≤ 1) = P(X = 0) + P(X = 1)

where X is the random variable representing the quantity of cups of espresso offered in ninety nine minutes.

Using the Poisson distribution formula, we can calculate the possibilities of promoting zero or 1 cups of espresso in ninety nine minutes:

P(X = 0) = (\(e^{(-3)\) * \(3^0\)) / 0!

= \(e^{(-3)\)

= 0.0498 (rounded to four decimal places)

P(X = 1) = (\(e^{(-3)\) * \(3^1\)) / 1!

= 0.1494 (rounded to four decimal places)

Therefore,

P(X ≤ 1) = 0.0498 + 0.1494 = 0.1992

So the chance that the espresso save will promote no greater than one cup of espresso in ninety nine minutes is about 0.1992, or 19.92% (rounded to two decimal places).

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Answer:

71

Step-by-step explanation:

There are 12 inches in a foot:

12 inches x 5 feet = 60

60 + 11 inches = 71 inches total

Answer:

71 inches

Step-by-step explanation:

12 inches in a foot

12*5

60+11

71 inches

Hope this hopes. Have a great day. May it be filled with joy and happiness.

Answer:

Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.

Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.

Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Step-by-step explanation:

Answer:

1.5x = 6

Step-by-step explanation:

This represents 1.5 times the amounts a bucket holds. (I'm assuming you mean x when you typed z)

Answer:

3 3/5

Step-by-step explanation:

First, convert 1 4/5 into an improper fraction. It would turn into 9/5, then you can make 2 as 2/1 because any whole number can be put over 1 and still keep the same value. Then, multiply 2/1*9/5 to get 18/5.

The simplest form is 3 3/5.

Hope this helps!

Answer:

send me link

Step-by-step explanation:

i need link to help

Answer:

I wrote answers to what I can see below. I'm happy to walk you through the rest of the problem if you can write out the rest in a comment, or LMK if you post a new pic/question.

Step-by-step explanation:

Step 1 answers:

What do you want to know: How many bicycles, how many unicyles?

What do you know?

A bicycle has 1 seat and 2 wheels

a unicycle has 1 seat and 1 wheel

there are a total of 18 seats and 28 wheels

Step 2 answers:

let b = number of bicycles

let u = number of unicycles

Using integration by parts we obtained:

A(x) cosh(Bx) = x² sinh(2x)/2 - x sinh(2x) + cosh(2x)/2

To integrate the function x² cosh(2x) dx, we can use integration by parts.

Let's choose f(x) = x² and g'(x) = cosh(2x). Then, we can reconstruct the integral using the integration by parts formula:

∫[x² cosh(2x) dx] = x² ∫[cosh(2x) dx] - ∫[2x ∫[cosh(2x) dx] dx]

Simplifying, we have:

∫[x² cosh(2x) dx] = x² sinh(2x)/2 - ∫[2x * sinh(2x)/2 dx]

Now, we need to integrate the remaining term using integration by parts again. Let's choose f(x) = 2x and g'(x) = sinh(2x):

∫[2x * sinh(2x)/2 dx] = x sinh(2x) - ∫[sinh(2x) dx]

The integral of sinh(2x) can be obtained by integrating the hyperbolic sine function, which is straightforward:

∫[sinh(2x) dx] = cosh(2x)/2

Substituting this back into the previous equation, we have:

∫[2x * sinh(2x)/2 dx] = x sinh(2x) - cosh(2x)/2

Bringing everything together, the original integral becomes:

∫[x² cosh(2x) dx] = x² sinh(2x)/2 - (x sinh(2x) - cosh(2x)/2)

Simplifying further, we can write the clean and simplified result for the original integral as:

A(x) cosh(Bx) = x² sinh(2x)/2 - x sinh(2x) + cosh(2x)/2

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Answer:

The answer is option 3.

Step-by-step explanation:

You have to form an inequality expression and then solve it. Let x be the side of the square :

\(4x < 16\)

\(x < 16 \div 4\)

\(x < 4\)

Answer:

C

Step-by-step explanation:

You can't have negative values. So x should be greater than 0 and less than 4.

0<x < 4

which is the short way of writing what I just said.

The correct answer is x<4 with only positive values. C

The correct answer is option D: (5-4)(3-4).

The expression (5.3)-4 is equivalent to option D: (5-4)(3-4).

To simplify the expression (5.3)-4, we subtract 4 from 5.3, which gives us 1.3. Therefore, the expression can be rewritten as 1.3.

Now, let's analyze each option:

A. 4-(5.3) is not equivalent to (5.3)-4. It is the reverse order of subtraction.

B. 3(5-4) is equal to 3, which is not equivalent to (5.3)-4.

C. (3.5)-4 is not equivalent to (5.3)-4. It is a different expression altogether.

Only option D: (5-4)(3-4) is equivalent to (5.3)-4, as it simplifies to 1.3.

Therefore, the correct answer is option D: (5-4)(3-4).

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Answer:

$3.00

Step-by-step explanation:

The function f can be implemented using a single 4-to-1 multiplexer and two inverters.

A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.

To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.

First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.

By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.

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Answer: The graph of f(x) = x^2 should be shifted upward by 1 unit to produce the graph of g(x) = x^2 + 1.

Explanation: The function g(x) = x^2 + 1 is obtained by adding 1 to the function f(x) = x^2. This means that for any value of x, the value of g(x) is 1 unit greater than the value of f(x). Graphically, this corresponds to shifting the entire graph of f(x) upward by 1 unit. As a result, the graph of g(x) will be identical to the graph of f(x), but shifted upward by 1 unit.

Answer                                                                                                                           17400

Step-by-step explanation:

Answer:

A=1.89×10 7 (7 as the exponent)

Explanation:

Answer:

Below

Step-by-step explanation:

Working on this for days  ?  Seriously ??

5 x 10 ^8 = 50 x 10^7

50 x 10^7 + 2 x 10^7 = 52 x 10^7   = 5.2 x 10^8  = 520, 000,000

Pick the form you need.....

Answer: The cost of painting is Rs.254.4

Step-by-step explanation:

let  l and b be the sides

        b=3m 20 cm=3.20m    

                                          = 5.30×3.20

                                           =16.96m²

We are given that, the measures of sides of blackboard are 5 m 30 cm and 3m 20 cm.

__________________________________________

\( \bf \implies5 m + 30 cm \\ \)

\( \sf \implies 5 m + \dfrac{30}{100}m \\ \)

\( \sf \implies 5 m + \dfrac{3\cancel{0}}{10\cancel{0}}m \\ \)

\( \sf \implies 5 m + 0.3 m \\ \)

\(\purple{ \bf \implies 5.3~ m } \\ \)

\( \bf \implies3 m + 20 cm \\ \)

\( \sf \implies 3 m + \dfrac{20}{100}m \\ \)

\( \sf \implies 3 m + \dfrac{2\cancel{0}}{10\cancel{0}}m \\ \)

\( \sf \implies 3 m + 0.2 m \\ \)

\( \purple{\bf \implies 3. 2 ~m} \\ \)

_______________________________________________

\( \pink{\frak{\implies Area _{(Blackboard) }= Length \times Breadth ~m^2}} \\ \)

\( \sf \implies Area _{(Blackboard) } = 5.3 \times 3.2 ~m^2 \\ \)

\( \sf \implies Area _{(Blackboard) } = 16.96 m^2 \\ \)

\( \sf \implies 15 \times 16.96 \\ \)

\( \pink{\sf \implies Rs ~254.4 } \\ \)

Answer:

The slope of line m could be -3.

Step-by-step explanation:

I don't know how accurate this is, but I just started out with y=-x+6 and continued experimenting until it was perpendicular.

A parking lot has 120 vehicles with motorcycles and cars in the ratio of 7:5. The number of motorcycles in the parking lot is 70 and the number of cars is 50.

Assume the number of motorcycles in the parking lot to be 7x and cars be 5x. Since there are 120 vehicles, we can write the equation as;7x + 5x = 12012x = 120x = 10Now, the number of motorcycles in the parking lot is 7x = 7 × 10 = 70 and the number of cars is 5x = 5 × 10 = 50.Therefore, there are 70 motorcycles and 50 cars in the parking lot. The total number of vehicles is 120. A parking lot has 120 vehicles with motorcycles and cars in the ratio of 7:5. The number of motorcycles in the parking lot is 70 and the number of cars is 50.

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Answer:

8) width = 30 cm

   length = 60 cm

9) first side = 60 m

   second side = 180 m

   third side = 240 m

Step-by-step explanation:

Question 8

Let W = width

Given:

⇒ Length = 3W - 30

Given:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Substituting equation for length into the equation for the perimeter and solving for W:

   Perimeter = 2W + 2L

⇒ 180 = 2W + 2(3W - 30)

⇒ 180 = 2W + 6W - 60

⇒ 240 = 8W

⇒ W = 30 cm

Substitute found value of W into the equation for length and solve for length:

⇒ Length = 3(30) - 30

⇒ Length = 90 - 30

⇒ Length = 60 cm

Question 9

Given:

Let x = first side

⇒ second side = 3x

⇒ third side = 3x + 60

Given:

   Perimeter = sum of length of all sides

⇒ 480 = x + 3x + 3x + 60

⇒ 420 = 7x

⇒ x = 60

Therefore,

first side = 60 m

second side = 3 × 60 = 180 m

third side = 3(60) + 60 = 240 m

width be x

length=3x-30

Now

#2

sides be x,3x,3x+60

Now

Hence

Step-by-step explanation:

step 1. AD is parallel to BC

step 2. <y = 90° (definition of right trapezoid)

step 3. x + y + 90 + 140 = 360 (a quadrilateral has 360° of internal angles)

step 4. x + 90 + 90 + 140 = 360

step 5. x = 40°.

Answer:

Solving for x gives us x = 1.33

The value for x cannot equal 3,-1

Explanation:

The initial expression is:

The denominator of the right side can be factorized as (x - 3)(x + 1) because -3 and 1 multiply to -3 and sum to -2. So, we can rewrite the expression as:

Now, we can sum the expression on the left side to get:

Both sides have a denominator of (x-3)(x+1), so we need to exclude the values where this denominator is equal to 0. Those values are:

x - 3 = 0

x - 3 + 3 = 0 + 3

x = 3

x + 1 = 0

x + 1 - 1 = 0 - 1

x = -1

So, the values of x cannot be equal to 3 and -1.

Then, if the denominators are the same, we can find the solution of the equation, making equal the numerators, so we need to solve:

Solving for x, we get:

Therefore, the answers are:

Solving for x gives us x = 1.33

The value for x cannot equal 3,-1