Answer:
50 degrees
Step-by-step explanation:
50 degrees because angle 2 is its vertical angle
Answer:
27.5 mm
Step-by-step explanation:
Let the side length of each of the side of the base of the pyramid be a, hence:
perimeter of square = 4a
80 = 4a
a = 20 mm.
The distance from the middle of the square pyramid to the side = r = half of the side length = a/2 = 20 / 2 = 10 mm.
r = 10 mm
The slant height (s) = 17 mm, Let h be the height of each of the pyramid. Using Pythagoras theorem:
r² + h² = s²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.748 mm
The length of the game piece = 2 * h = 2 * 13.748 = 27.5 mm to nearest tenth of a mm.
Answer:
6 minutes
Step-by-step explanation:
68% of people will lie between one standard deviation from the mean. If the mean is 22, and 1 standard deviation away is 16 or 28, the standard deviation must be six (28-22=6)
Answer:
1 * 10^12
Step-by-step explanation:
Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.
Same thing can be applied for 1,000,000 (one million).
1 * 10^6 because one million has 6 zeros appended to it.