A parallelogram is shown in the picture attached. If we want to prove that figure fghj is a parallelogram, the following actions should be proved:
* Sides fj and sides gh should be equal
* The blue angles should not be equal to the red angles
* The blue angles should be equal
* The red angles should be equal
Answer:
- <em><u> It begins to move toward the right</u></em>
Explanation:
The given information can be summarized in this way:
- First force vector: Fg = - 8N (vertical down)
- Second force vector: Ft = 6N (horizonal right)
- Third force vector: FN = 8N (vertical up)
- Fourth vector: Ff = - 4N (horizontal left)
Following Newton's second law, net force equal mass times acceleration:
- Net force = mass × acceleration
To predict the motion, you apply Newton's second law in each direction (vertical and horizontal)
- <u>Vertical force balance:</u>
Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.
- <u>Horizontal force balance:</u>
Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.
Answer:
0.0403
Step-by-step explanation:
Given that 76% of americans prefer coke to pepsi.
Let x be the number of people who prefers coke to pepsi.
X is binomial as each trial is independent, and there are only two outcomes.
A sample of 27 was taken.
We have to find the probability that less than sixty percent of the sample prefers coke to pepsi
60% of 27 = 
Required probability = 
Hence prob=0.0403
F(x) is continuous for all x.
Pick a point and show that f(x) is either negative or positive. Pick another point and show that f(x) is negative, if positive, or positive, if negative.
At x = 30, f(30) - 1000 = 900 + 10sin(30) - 1000 ≤ 0
Now, show at another point f(x) - 1000 is positive, and hence, there would be root between 30 and such point.
Let's pick 40.
At x = 40, f(40) - 1000 = 1600 + 10sin(40) - 1000 ≥ 0
Since f(x) - 1000 is continuous, there lies a root between 30 and 40, and hence, 30 ≤ c ≤ 40
Answer:
Two dogs and three ducks
Step-by-step explanation:
Dogs have four legs and ducks have two, to find the answer, you add the number to get your answer.
In this case, two dogs would make a total of 8 legs and three ducks would make a total of 6 legs. Adding 8 and 6 together, you get 14.
