Are lines of symmetry for any given polygon also diagonal?

Answers

Answer 1

Answer: yes it can be !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 2

Answer: yes it is as long as the line your making is making the shape symmetrical

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In a certain math class, it is known that 18 students LOVE math review, and 5 students dislike math review. The teacher randomly selects three students from the class. What is the probability that all three students love math review?

Answers

The probability that the first random choice will be a matho-file and not a -phobe is 18/23. The probability of the second one is 17/22, and for the third one it's 16/21. The probability of all 3 is 4,896/10,626 = (18x17x16)/(23x22x21). That's 46.1% (rounded).

Given the trinomial 5x2 − 2x − 3, predict the type of solutions.

Answers

$5x^2 - 2x - 3$

$5x^2+3x-5x-3$

$x(5x+3)-(5x+3)$

$(5x+3)(x-1)$

Factoring is the only solution.

If j=12, what is j/3+3?

Answers

$(j)/(3) +3 \n \n (12)/(3) +3 \n \n 4+3 \n \n 7$

Plug in 12 for j

12/3 +3

4+3= 7

Express Fx and Fy in terms of the length of the vector F and the angle θ, with the components separated by a comma.

Answers

Fx, Fy = F cos θ, F sin θ

Further explanation

This is a fundamental problem with vector components.

A vector quantity is some quantities that have the magnitude and a direction. For example, all forces or momentums are vectors.
Whereas, a scalar quantity only has magnitude. For example, all forms of energy are scalars.

The list below shows some recognized methods to represent a vector. i.e., a force.

$\boxed{ \ \textit{\textbf{F}}, \vec{F}, \bar{F} \ }$

It is possible to split one vector into two vectors. This process is called resolving and the vectors that we get are called the components of the original vector.

Vector problems can always be solved by using the mathematics of trigonometry, i.e., the functions of sine or cosine. This is particularly appropriate when resolving.

By using the cartesian coordinate system, see the attachment on how to calculate the values of either these components.

Horizontal component: $\boxed{ \ F_x = \textit{\textbf{F}}\ cos \ \theta \ }$
Vertical component: $\boxed{ \ F_y = \textit{\textbf{F}} \ sin \ \theta \ }$

Here, the angle between the vector F and the horizontal axis we call θ (theta).

As a reminder:

$\boxed{cos \ \theta = (adjacent)/(hypotenuse)} \rightarrow cos \ \theta = (F_x)/(F) \rightarrow \boxed{F_x = F cos \ \theta}$
$\boxed{sin \ \theta = (opposite)/(hypotenuse)} \rightarrow sin \ \theta = (F_y)/(F) \rightarrow \boxed{F_y = F sin \ \theta}$

Learn more

Finding the acceleration between two vectors brainly.com/question/6268248
A correct representation of 0.000025 in scientific notation brainly.com/question/2261308
The theoretical density of platinum which has the FCC crystal structure brainly.com/question/5048216

Keywords: express Fx and Fy, in terms of the length of the vector F, and the angle θ, with the components, separated by a comma, resolving, split, horizontal, vertical, angle, theta, sine, cosine, trigonometry, cartesian coordinate system

The components of the vector F are $\fbox{\begin\nF\cos\theta\end{minispace}}$ and $\fbox{\begin\nF\sin\theta\end{minispace}}$ .

Further Explanation:

A physical quantity can be defined as the physical property that can be measured and have some value in numbers.

For example- mass, amount of substance, length, time, electric current, temperature, force, light intensity, density, velocity, speed etc.

A quantity is said as a vector if it has some magnitude and direction in order to give the details regarding the quantity.

For example- Force, velocity, current density, electric field, magnetic field, displacement, acceleration, momentum etc.

A quantity is said as a scalar if it has only the magnitude in order to give the details regarding the quantity.

For example- speed, distance, current, volume, density, mass, energy, time, temperature etc.

Given:

The resultant vector is $F$ .

The horizontal component is ${\vec F_x}$ .

The vertical component is ${\vec F_y}$ .

Concept:

Let a vector have some length $F$ and making an angle $\theta$ with horizontal axis.

The triangle rule of resultant vector state that when two vector is denoted by the two sides of the triangle and the magnitude and the direction is taken in the same direction then the third side of the triangle denoted by resultant vector with some magnitude and direction.

The diagram is drawn as shown in the Figure 1.

The vertical component is along y-axis and the vertical component of the vector $\vec F$ is expressed as:

${\vec F_y}=F\sin\theta$

The horizontal component is along x-axis and the horizontal component of the vector $\vec F$ is expressed as:

${\vec F_x}=F\cos\theta$

therefore, the components of the vector F are $\fbox{\begin\nF\cos\theta\end{minispace}}$ and $\fbox{\begin\nF\sin\theta\end{minispace}}$ .

Learn more:

1. Displacement vector https://brainly.in/question/3332823

2. Magnitude of the vector brainly.com/question/12501440

3. Magnitude of the vector brainly.com/question/11538030

Answer Details:

Grade: High school

Subject: Physics

Chapter: Kinematics

Keywords:

Express, Fx, Fy, vector, F, angle, theta, components, Fsin theta, Fcos theta.

If an object is dropped from a height of 85 feet, the function h(t)=-16t^2+85 gives the height of the object after t seconds. Approximately, when will the object hit the ground?a. 85.00 seconds
b. 69.00 seconds
c. 0.33 seconds
d. 2.30 seconds

Answers

We are given the function of the situation. The function is given as h(t) = -16t^2 + 85 where h(t) signifies that height is a function of time. For this case, our height would be zero and we find the time it hits the ground. Thus,

0 = -16t^2 + 85
t = 2.30 seconds

The answer is d.

Suppose that your airline allows only 6 of these items. in how many ways can you pick 3 not to take?

Answers

Answer:

20 ways

Step-by-step explanation:

6C3 = 6!/(3! * (6-3)!)

= (6*5*4*3*2*1)/(3*2*1*(3)!)

= (6*5*4) / (3 * 2 * 1)

= (6*5*4)/6

= 5 *4

= 20 ways

Final answer:

The number of ways to pick 3 items not to take out of a total of 6 is 20.

Explanation:

To find the number of ways to pick 3 items not to take out of a total of 6, we can use the combination formula. The formula for combinations is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen. In this case, n = 6 and r = 3. Plugging in these values, we get:

C(6, 3) = 6! / (3!(6-3)!) = 6! / (3!3!) = (6 * 5 * 4) / (3 * 2 * 1) = 20.

So, there are 20 different ways to pick 3 items not to take out of a total of 6.

Learn more about Combinations here:

brainly.com/question/19692242

#SPJ11

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