(URGENT) Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

The reason that the point (3, 5) is not a solution to the given inequality is given below.

We are given that;

y > 2x + 1

Now,

The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.

If we have (3,5) as a point, we can see that it lies on the boundary line

y = 2x + 1.

Since the inequality is strict (y >), points on this line are not solutions to the inequality

Therefore, by the inequality the answer will be given above.

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The force of the thrust loaded and supported as 12KN

By taking into account the equilibrium of the entire truss, it is possible to predict the reaction at the supports. Only the vertical component of the reaction at the ends A needs to be taken into account since both external loads are vertical. Given that the angle of the triangle AEC is 90 degrees, it has a right angle.

AE = AC cos 60º = 5 X 0.5 = 2.5m

CE = AC sin60º = 5 X 0.866 = 4.33m

Due to the fact that triangle ABE is an equilateral triangle,

AB = BC = AE = 2.5m

A right-angle triangle with an angle, the triangle BDC is once again

BDC = 90º

Also, BC = AC – AB = 5 – 2.5 = 2.5m BD = BC cos 60º = 2.5 X 0.5 = 1.25m

path of action of 12 KN force away from joint A,

AG = AB + BG

= AB + BD cos 60º = 2.5 + 1.25 X 0.5 = 3.125m

RC X 5 = 12 X 3.125 + 10 X 1.25 = 50  RC = 10KN ...(i) ∑V = 0, RC + RA = 10 + 12 = 22KN  RA

= 12KN

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The question is incomplete, The question is:

Determine the force of the thrust loaded and supported as shown in fig

Answer:

1.6

Step-by-step explanation:

i used calculator

Answer:  1.6

Step-by-step explanation:

Answer:

45 degrees, 135 degrees, 225 degrees, 315 degrees

Step-by-step explanation:

x = 45 degrees + k * 90 degrees

t^3-4t^2-.5t+2=0

t = 4

t = 2^.5/2

cosx=2^.5/2

The DE is a Bernoulli equation that is x: y = 1/f(x).

Make the substitution: Let z = 1/y, then dy/dx = -z² dz/dx.

Substitute this expression into the differential equation: x(-z² dz/dx) + z = 1.

Simplify the left-hand side: -xz² dz/dx + z = 1.

Integrate both sides concerning x: -xz³/3 + z²/2 = x + C, where C is the constant of integration.

Solve for z: z²/2 + C = xz³/3 + x.

Isolate z²/2 on one side: z²/2 = xz³/3 + x - C.

Cube both sides: (z²/2)³ = (xy³/3 + x - C)³.

Solve for x: x = f(z), where f(z) is an explicit function of z.

Use the substitution z = 1/y to find y as a function of x: y = 1/f(x).

Check the solution by substituting it back into the original differential equation and verifying that it satisfies the equation.

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If there are 15 chickens. Then the number of eggs will be 95.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The number of hens Mia has directly affected how many eggs she can sell. She can sell more eggs if she has more chickens. If she has 6 hens and produces 38 eggs every week.

Let the number of eggs be x. Then the equation is written as,

x / 15 = 38 / 6

x = 95

If there are 15 chickens. Then the number of eggs will be 95.

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The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞). The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given function y = \(3^x\) is an exponential function the graph for this function is given ;

The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞)

The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.

As x approaches +∞ the function y also approaches +∞.

Since, the exponential function y = 3x is graphed, with the domain being (-∞ to +∞) and the range being (0 to +∞).

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Answer:

y = 100x + 200

Step-by-step explanation:

Answer:

\(n = 11\)

Step-by-step explanation:

Given

\(^nP_2 = 110\)

Required

Solve for n

\(^nP_2 = 110\)

Start by applying permutation formula:

\(\frac{n!}{(n-2)!} = 110\)

Expand the numerator

\(\frac{n*(n-1) * (n-2)!}{(n-2)!} = 110\)

(n-2)! cancels out

\(n*(n-1) = 110\)

Expand

\(n^2 - n = 110\)

Subtract 110 from both sides

\(n^2 - n -110= 110-110\)

\(n^2 - n -110= 0\)

Expand:

\(n^2 - 11n +10n-110= 0\)

Factorize:

\(n(n-11) +10(n-11)= 0\)

\((n+10)(n-11) = 0\)

This implies that:

\(n + 10 = 0\ or\ n - 11 = 0\)

\(n = -10\ or\ n = 11\)

But n can't be negative.

So:

\(n = 11\)

Answer:parameter

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0

Completing the square for x and y, we get:

\((x-1)^{2}\)  + \((y-1)^{2}\)  = \(6^{2}\)

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

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Answer:

6x^3+20x+\(\frac{4}{3x}\)+627

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Hope this helps

Answer:

Below

Step-by-step explanation:

If d is a positive number then the greatest common factor is 108d.

To get it isolate d and d^2 from the numbers.

108 divides 216. (216 = 2×108)

Then the greatest common factor of 216 and 108 is 108.

For d^2 and d we will follow the same strategy

d divides d^2 (d^2 = d*d)

Then the greatest common factor of them is d.

So the greatest common factor will be 108d if and only if d is positive. If not then 108 is the answer

Answer:

\(\boxed{108d}\)

Step-by-step explanation:

Part 1: Find GCF of variables

The equation gives d ² and d as variables. The GCF rules for variables are:

The GCF for the variables is d.

Part 2: Find GCF of bases (Method #1)

The equation gives 108 and 216 as coefficients. To check for a GCF, use prime factorization trees to find common factors in between the values.

Key: If a number is in bold, it is marked this way because it cannot be divided further AND is a prime number!

Prime Factorization of 108

108 ⇒ 54 & 2

54 ⇒ 27 & 2

27 ⇒ 9 & 3

9 ⇒ 3 & 3

Therefore, the prime factorization of 108 is 2 * 2 * 3 * 3 * 3, or simplified as 2² * 3³.

Prime Factorization of 216

216 ⇒ 108 & 2

108 ⇒ 54 & 2

54 ⇒ 27 & 2

27 ⇒ 9 & 3

9 ⇒ 3 & 3

Therefore, the prime factorization of 216 is 2 * 2 * 2 * 3 * 3 * 3, or simplified as 2³ * 3³.

After completing the prime factorization trees, check for the common factors in between the two values.

The prime factorization of 216 is 2³ * 3³ and the prime factorization of 108 is 2² * 3³.  Follow the same rules for GCFs of variables listed above and declare that the common factor is the factor of 108.

Therefore, the greatest common factor (combining both the coefficient and the variable) is \(\boxed{108d}\).

Part 3: Find GCF of bases (Method #2)

This is the quicker method of the two. Simply divide the two coefficients and see if the result is 2. If so, the lesser number is immediately the coefficient.

\(\frac{216}{108}=2\)

Therefore, the coefficient of the GCF will be 108.

Then, follow the process described for variables to determine that the GCF of the variables is d.

Therefore, the GCF is \(\boxed{108d}\).

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

Answer:

the difference between the temperatures is -50.9. f=-50.9

Step-by-step explanation:

33.6°F+17.3°F=50.9

33.6°F+F= -17.3°F

33.6°F+(-50.9°F= -17.3°F

so, F=-50.9°F

Step-by-step explanation:

d=T2-T1=(-17.3-33.6)=-50.9°F

A square prism has the following characteristics:

Number of faces: 6

Number of vertices: 8

Number of edges: 12

A cuboid has the following characteristics:

Number of faces: 6

Number of vertices: 8

Number of edges: 12

What is meant by square prism?

A square prism is a three-dimensional geometric shape with two parallel square bases and rectangular faces connecting the two bases. It has 8 vertices, 12 edges, and 6 rectangular faces.

What is meant by cuboid?

A cuboid is a three-dimensional geometric shape with six rectangular faces, where opposite faces are equal in size and shape. It has 8 vertices, 12 edges, and 6 rectangular faces. A cuboid is also known as a rectangular prism.

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Answer:

30

Step-by-step explanation:

The third side of the right angled triangle is 45.

What is right angled triangle?

A right angled triangle, also known as a right triangle, is a type of triangle that has one angle that measures exactly 90 degrees, called the right angle. This angle is formed where the two shorter sides of the triangle meet.

To solve this problem, we can use the concept of special right triangles, specifically the 3-4-5 right triangle. In a 3-4-5 right triangle, the sides are in the ratio of 3:4:5.

Let's label the length of the triangle as \($L$\), the height as \($H$\), and the hypotenuse as \(X\).

The Pythagorean theorem states that in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse. Therefore, we can set up the following equation:

\($$ L^2 + H^2 = X^2 $$\)

Substitute the given values.

We are given that \($L = 27$\) and \($H = 36$\), so we can substitute these values into the equation:

\($$ 27^2 + 36^2 = X^2 $$\)

Simplify the equation.

Evaluating the squares on the left side, we get:

\($$ 729 + 1296 = X^2 $$\)

Simplifying the right side, we get:

\($$ 2025 = X^2 $$\)

Solve for X.

Taking the square root of both sides, we get:

\($$ X = \sqrt{2025} $$\)

\($$ X = 45 $$\)

Therefore, the third side of the triangle is 45.

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Answer:

(3, -2) is the correct choice.

The Rational Expression (18x³yz)/(6xyz⁴) when simplified has its value to be 3x²/z³

Given that

(18x³yz)/(6xyz⁴)

To simplify the given rational expression, we can start by canceling out any common factors between the numerator and denominator.

In this case, we can simplify the expression as follows:

(18x³yz)/(6xyz⁴) = (3x * x * x * y)/(y * z * z * z) =

Evaluate the products

So, we  have

(18x³yz)/(6xyz⁴) = (3x²)/(z³)

Remove the brackets

(18x³yz)/(6xyz⁴) = 3x²/z³

Therefore, the simplified expression is 3x²/z³.

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Answer: 8/27 cubic yards

Step-by-step explanation:

Volume of cube = side length ³

(2/3)³ = 2³ / 3³ = 8 / 27

Answer:

120 i think im pretty good a geometry

6 1/4 my bad lol

Step-by-step explanation:

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Answer:

The number has two digits. The sum of the digits is eight. If the digits are reversed, the results is 18 less than the original number. The answer of your question is 35. !!! ;)

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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