Answer:
20 square units
Step-by-step explanation:
If Polygon C has an area of 40 square units, and we are told that Polygon D is a copy of Polygon C but with a scale factor of 1/2, then everything for Polygon D would just be one-half of what it was for Polygon C. Thus, the area would be half of 40 square units, or, 20 square units.
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.
10in = 0.833333ft^2 that is the total amount for one side. For a cube that has 6 sides, you multiply 0.833333 by 6.
You need <span>4.999998ft^2 of paper</span>
Answer:
0.7 cups
Step-by-step explanation:
5 gallons, use 3 1/2 cups = 3.5 cups of lemonade
so 1 gallon, use 3.5/5 = 0.7 cups of lemonade
Answer:
D
Step-by-step explanation:
You should know the price of one bag in each store , the least price will be the answer first store , one bag costs 4/2=2 dollars second store, one bag costs 5/3=1.67 dollars third store, one bag costs 8/5=1.6 dollars fourth store , one bag costs 1.25 dollars"the least one"
