MATHEMATICS HIGH SCHOOL

2x-17x+15=0 solve for x

Answers

Answer 1

Answer:

Answer:

x=1

Step-by-step explanation:

2x-17x+15=0

Combine like terms

-15x +15 = 0

Add 15x to each side

-15x+15x+15=0+15x

15 = 15x

Divide by 15

15/15 = 15x/15

1 =x

Answer 2

Answer:

Answer:

x=1

Step-by-step explanation:

x=1 because you need to isolate the variable by dividing each side factors that don't have a variable.

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N - n - p; use n = -9, and p = -4

Answers

Hello!

Answer:

$\Large \boxed{\sf 4}$

Step-by-step explanation:

→ We want the value of n - n - p when n = -9 and p = -4.

→ Let's replace n by -9 and p by -4 in the expression:

$\sf (-9) - (-9) - (-4)$

→ Simplify the expression:

$\sf -9 +9 +4$

$\boxed{\sf 4}$

Conclusion:

If n = -9 and p = -4 in the expression n - n - p, this expression is equal to 4.

A rectangle is 5 √7 + 2 √3 meters long and 6 √7 - 3 √3 meters wide. a. Find the perimeter of the rectangle in simplest form. 2 b. Find the area of the rectangle in simplest form.

Answers

I think the answer is 16.70

Help please! I don't understand these...

Answers

number 4 (as asked in comments)

57 degrees
21 legnth shadow
drwa diagram

remember
SOHCAHTOA
we need last one
tan of angle=oposite angle/ajacent
oposite angle=height=?
ajacent=21
angle=57
tan(57)=?/21
multiply both sides by 21
21tan(57)=?
use calculator
32.3372 m
h=32.3372m (round if nececary)

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.

A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen.What is the probability that he chooses trees of two different types? Express your answer as a percent.

Answers

The probability that he chooses trees of two different types is 0.6 or 60%.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a landscaper who is selecting two trees to plant.

The total number of trees he has = 5

Total ways of choosing the two trees = $_(5)^{}\textrm{C}_2$