Find the value of x.

The resultant force is

→F=321.9N at−165.4°

The equilibrant is

→Feq=321.9N at14.6°

Explanation:

This problem requires that we resolve the force vectors into x- and y-components.

Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.

Finally, we will convert the resultant force into standard form and find the equilibrant.

Resolve into components:

F1x=F1cos180°=215(−1)=−215N

F1y=F1sin180°=0N

F2x=F2cos(−140°)=126(−0.766)=−96.5N

F1y=F1sin(−140°)=126(−0.643)=−81.0N

Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.

Now, we add the components:

Fx=F1x+F2x=−311.5N

Fy=F1y+F2y=−81.0N

Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:

F=√(

Answer:

A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function. On the right is its translation to a "new origin" at (3, 4). y = |x|.

Answer:

False. Because it is the answer.

Answer:

false

Step-by-step explanation:

I agree with the first guy

Answer: Try using Symbolab (i have no idea what the answer is sry)

Answer:

$63

Step-by-step explanation:

Answer:

they made 67.5$

Step-by-step explanation:

82.5÷5.5 is 15 15×4.50 would be 67.5

Answer:

slope is 6/1 (or 6)

Step-by-step explanation:

your y-intercept is 3, so that means the point will be (0,3).

from there, you can start plotting points. up 6, over 1 (to the right)

the equation for a line is y=mx+b, so whatever number is in m will always be your slope, and whatever number is in b will be your y intercept

Answer:

C

Step-by-step explanation:

Answer:

2/15

Step-by-step explanation:

if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15

Answer:

4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

To find what y equals, x has to be 0.

3x-y=12

3(0)-y=12

-y=12        (multiply by -1 so y is not negative)

y=-12

Because y=-12 you need to do -12/3 to get your answer to y/3

-12/3=-4

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 we can solve the question using this information

Answer:

distance(miles) = number of hours driven * 55

Step-by-step explanation:

Answer: x = 13

Step-by-step explanation:

They are equal so set them equal and solve for x.

(4x+1) = 53

4x = 52

x = 13

Answer:

Since the lines l and m are parallel,

angle (4x + 1) and angle 53 are both corresponding angles

We know that corresponding angles are equal, so:

4x + 1 = 53

4x = 52

x = 13

Answer:

transitive property of equality

Step-by-step explanation:

I know cus i took the test also sorry it took so long dude

Answer:

y= -2x+3

Step-by-step explanation:

First, you want to isolate the variable 2y on its own.

It would look like this: 2y= -4x+6

Then, divide every term by two.

It would look like this: y=-2x+3

Hope it helped.  

Answer:

y= -2x+3

Step-by-step explanation:

Answer:

m= -215/k

f=-5+2c/9

Step-by-step explanation:

Answer:

3C2 * (.5)^2 * (.5)^1

.375

Step-by-step explanation:

...

The probability that exactly two of the dice are odd is 3/8

"It is finding out the possibilities of the occurrence of an event."

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

[tex]P=~ ^nC_r\times p^r \times q^{n-r}[/tex]

where, p is the probability of success and q is the probability of failure

For given example,

We roll three six sided dice.

We need to find the probability that exactly two of the dice are odd

the probability of success i. e. dice is odd would be,

⇒ p = 3/6

⇒ p = 1/2

So, the probability of failure would be,

⇒ q = 1 - p

⇒ q = 1 - 1/2

⇒ q = 1/2

Also, n = 3 and r = 2

Using Binomial distribution the required probability would be,

[tex]\Rightarrow P=~ ^nC_r\times p^r \times q^{n-r}\\\\\Rightarrow P=~ ^3C_2\times (\frac{1}{2} )^2 \times (\frac{1}{2} )^{3-2}\\\\\Rightarrow P =\frac{3!}{3!(3-2)!}\times \frac{1}{4} \times \frac{1}{2}\\\\ \Rightarrow \bold{P=\frac{3}{8}}[/tex]

Therefore, the probability that exactly two of the dice are odd is 3/8

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Answer: 30

Step-by-step explanation:

24 + f = 54

f = 54 - 24

f = 30

Answer:

f=30

Step-by-step explanation:

You want to get x by itself on one side, so in order to do that, you need to subtract the 24, and if you do it one side, you need to do it to the other side.

That would give you:

24-24+f=54-24

then simplify it to be:

f=30

Answer: oh no are you stuck

Step-by-step explanation: don't worry step sis ill help you :)

Answer:

10^-1 = 7 - 2x

Step-by-step explanation:

Answer:

x = 1/6 (h(2) - 9), h(2) element R

Answer:

C

<$&#&#;#;#;#;#

Step-by-step explanation:

1/4= 4x6=24

Answer:

C

Step-by-step explanation:

Complete question :

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a. P(X < 66)

b. P(X < 23)

c. P(X = 66)

Answer:

P(X < 66) = 0.86

P(X < 23) = 0.61

P(X = 66) = 0

Step-by-step explanation:

Given that:

X, P(23 ≤ X ≤ 66) = 0.25 and

P(X > 66) = 0.14 ;

Recall:

P(x ≤ a) + p(x ≥ a) = 1

Then ; P(X < 0.66) = 1 - 0.14 = 0.86

Hence,

P(X < 0.66) = 0.86

P(23 ≤ X ≤ 66) = 0.25

P(X < 66) = 0.86

Hence,

P(X < 23) = 0.86 - 0.25 = 0.61

Probability that a continuous random variable is exactly equal to a particular number equals 0

Hence,

P(X = 66) = 0

Answer: A. B. A.

Step-by-step explanation: