Answer:
<u>Step-by-Step Explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>
Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18
Note: 8² + 15² = hypotenuse² → hypotenuse = 17
Note: hypotenuse not needed for tan
Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10
Answer:
OB - Older Brother
YB - Younger Brother
A) OB -YB = 4
B) OB * YB = 96
B) OB = 96 / YB
Multiplying A) by -1
A) -OB + YB = -4 then we add B)
B) OB = 96 / YB
YB = -4 + 96 / YB
Multiplying both sides by YB
YB^2 = -4YB +96 then re-arranging
YB^2 + 4YB -96 = 0 solving by quadratic equation
AS OF 5 years AGO:
Younger Brother's age = 8
Older Brother's age = 12
NOW THEIR AGES ARE:
8 + 4 = 12 YB and
12 + 4 = 16 OB
Step-by-step explanation:
Here we have an arithmetic sequence:
a 1 = 20, d = 2, n = 35
S n = n/2 * ( a 1 + a n )
a 35 = a 1 + 34 d = 20 + 34 * 2 = 20 + 68 = 88
S 35 = 35/2 * ( 20 + 88 ) = 35 / 2 * 108 = 1,890
Answer: In total, the theater seats 1,890 people
4/5. hopefully this helps
15/16 x 16 = 240/16 = 120/8 = 60/4 = 30/2 = 15/1 = 15
15/16 is one sixteenth of 15.