Both 9 and 12 can be divided by 3.
Divide both 9 and 12 by 3.
9/3=3 12/3=4
9/12=3/4
3/4 is the simplest form of 9/12
Given that the value of an industrial machine has a decay factor of 0.75 per year, and after six years, it became $7,500 only, this would mean that the original value of the machine would be solved like this: <span>7500 = x(1-.75)^6
</span>7500 = x(0.25)^6
7500 = x(<span>0.00024414062)
7500 = </span><span>0.00024414062x
x = </span><span>30, 720, 000
Hope this answers your question.</span>
Answer: The answer is 4.36
Explanation: 0.48 x 3 = 1.44
0.73 x 4 = 2.92
1.44 + 2.92 = 4.36
I can’t answer 5 because I don’t know what was in Example two, but I can tell you how to graph the equation y = -200x + 2400!
This equation is in slope intercept form, which means that the number next to the variable is the rate of change and the number added onto the first term is the initial value. Since your initial value is 2400, your first point will be at (0, 2400). Each time x increases by 1, y will decrease by 200 (because the rate of change is -200). So your second point will be (1, 2200) and so on.
Answer:
A. Plane B because it was 9.33 miles away
B. 48 units
Step-by-step explanation:
A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.
So for airplane A with 44° angle of departure,
sin44° = y/h where y = height above the ground and h = distance from airport
So h = y/sin44° = 6/sin44° = 8.64 miles
So for airplane B with 40° angle of departure,
sin40° = y/H where y = height above the ground and H = distance from airport
So H = y/sin40° = 6/sin40° = 9.33 miles
Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.
B. We know that scale factor = new size/original size
Our scale factor = 4 and original size = 12 units. So,
new size = scale factor original size = 4 × 12 = 48 units.
