Answer:
D
Step-by-step explanation:
Think of what the egyptians built wayyyy back then (Hint: Pyramids)
First, you need to find the length of the second side. You do this by dividing the area by half the length of the known side
This gives you 14 cm for the unknown side
At this point, you plug the two sides of the triangle into the Pythagorean Theorem, which is a^2 + b^2 = c^2
(48)^2 + (14)^2 = c^2
2304 + 196 = c^2
2500 = c^2
The square root of 2500 is 50 so the length of the hypotenuse is 50
Answer:
26²×9×8×7
Step-by-step explanation:
To select one ticket from the lottery, the costumer has to make five individual choices, the two letters and the three non-zero digits. To choose the first letter, the person can take any of the 26 letters of the english alphabet. In the same way, the person has 26 choices for the second letter (repetition doesn't matter in this problem).
For the first digit, the costumer has 9 choices. The second digit must be different from the first one, so it has 8 possibilities, and the third digit has 7 choices (it must be different from the previous two).
Using the product rule, the number of ways of choosing the five symbols is 26×26×9×8×7=26²×9×8×7.
Call the sum S. Then, you can use the definition of percentage to obtain an equation to find the value of S: 1) 28% = 28 / 100; 2) 28% of x = (28/100)x; 3) that is equal to $100.80 => (28/100)x = 100.8 => x = 100.8 * 100 / 28 => x = 360. You can verify that the 28% of 360 is 100.80: 360 * 28/100 = 100.80. <span>Then, the answer is $360.</span>
