Answer:
328 square units
Step-by-step explanation:
![S. A. = 2(4 \times 11 + 11 \times 8 + 8 \times 4) \\ \: \: \: \: \: \: \: \: \: \: = 2(44 + 88 + 32) \\ \: \: \: \: \: \: \: \: \: \: = 2 \times 164 \\ \: \: \: \: \: \: \: \: \: \: = 328 \: {units}^{2} \\](https://tex.z-dn.net/?f=S.%20A.%20%20%3D%202%284%20%5Ctimes%2011%20%2B%2011%20%5Ctimes%208%20%2B%208%20%5Ctimes%204%29%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%3D%202%2844%20%2B%2088%20%2B%2032%29%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%3D%202%20%5Ctimes%20164%20%5C%5C%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%3D%20328%20%5C%3A%20%20%7Bunits%7D%5E%7B2%7D%20%20%5C%5C%20)
Answer:
The base of the rectangle is 21 mm.
Step-by-step explanation:
Given that a rectangle's area is 336 mm, and its height is 16 mm, to determine what is the measure of its base, the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its base by its height:
16 x X = 336
X = 336/16
X = 21
Therefore, the base of the rectangle is 21 mm.
There is only 1 way to select the sequence 1,2,3 in that exact order. This is out of 720 different ways to select 3 cards at random where you don't put the card back and order matters. Where am I getting the 720? From this line of thinking:
Imagine we had 3 slots A, B, C. In slot A, we have 10 choices to pick from. After making a choice, we have 10-1 = 9 choices left. We can't put the card back. So we have 9 options for slot B. Then we have 8 for slot C. Multiply these values out and we get 10*9*8 = 720
At this point, we divide the values 1 over 720 to get the fraction 1/720
The probability as a fraction is 1/720 which converts to the decimal form 0.001389 which is approximate. This converts to 0.1389%; the chances of Annie picking the right sequence is very small.
Answer:
Step-by-step explanation:
the answer is 9/4
The answer would be 176, because I first combined the x's(minusing 1/4 on both sides), to get 1/4 x +10=54. then I minuses the 10 from both sides to get 1/4x=44. I then multiplied both sides by the reciprocal of 1/4(which is 4) to get x=176