Since it is given that the triangle is a right angle, and one of the other angles is 30 degrees, then we know that this triangle is a 30, 60, 90 triangle. In a 30, 60, 90 triangle, the opposite side of the shortest angle is half of the hypotenuse (which is given as 6). So knowing this, the value of y would be D. 3.
The next term in each sequence can be found by adding 2/4
the next to terms in the sequence are 4 1/4 and 4 3/4
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
If a bag of pumpkin seeds must weigh within 2.1 grams in order to be accepted, each bags must weigh between (400-2.1) grams and (400+2.1) grams. This means that if a bag weighs less than 397.9 grams (x<397.9) or more than 402.1 grams (x>402.1) it will be rejected. Therefore, 397.9>x>402.1 is the range of rejected bags.
The answer is 35 i think but i am not sure
