<span>Number
line is a way of expressing an integer into a line.
We have the given numbers:
Let x = -5
and Let y = 3
Now let’s create line with 0 in the center. Pls. see the attached image for the
number line presentation.
The answer is -2</span><span>
</span>
Answer:
C. G
Step-by-step explanation:
5. Given the equation y = (1/4) cos[(2pi/3)*theta]:
5a. For the general equation y = a cos(bx), the period is given by 2pi/b. In this equation, b = 2pi/3, so this means that 2pi/b = 2pi/(2pi/3) = 3. Therefore, the period of this equation is 3, and the cosine wave repeats itself every 3 x-units.
5b. For the general equation y = a cos(bx), the amplitude is given by a. Therefore the amplitude is a = 1/4, and this means that the cosine wave's range is from -1/4 to 1/4 for all values of x.
5c. The equation of the midline is y = 0. This represents the average value over the wave. This is determined by adding the highest and lowest values of the range and taking the average, in this case, 1/4 + (-1/4) = 0, and 0 / 2 = 0. Another way to do this is using the general equation y = a cos(bx) + c, where the midline's equation is y = c. In this case, there is no value of c in the given, implying that c = 0, and the midline is y = 0.
6. Let the horizontal distance be x. Then tan42 = h/x, and h = x tan42. Then using the Pythagorean theorem: 3280^2 = h^2 + x^2
3280^2 = x^2 (tan42)^2 + x^2
3280^2 = x^2 [(tan42)^2 + 1]
x = 2437.52
Therefore, h = x tan42 = 2,194.75 ft.
The probability that Hamid guesses both answers correctly is 10%.
Since Hamid is playing a trivia game with multiple choice questions, and each question has 2 correct answers among 5 answer choices, and Hamid has no idea what the answers to a certain question are, so he needs to choose two different answers at random, to determine what is the probability that Hamid guesses both answers correctly the following calculation must be performed:
- 2/5 x 1/4 = X
- 0.4 x 0.25 = X
- 0.1 = X
- 0.1 x 100 = 10
Therefore, the probability that Hamid guesses both answers correctly is 10%.
Learn more in brainly.com/question/22049333
Area=1/2*base*height
given that ABC is right angled triangle, the height will be given by:
tan theta=opposite/adjacent
tan 60=h/6
h=6tan60
=10.4
thus the area will be:
A=1/2x6x10.4
=31.2 cm^2
