Answer:
∠1 = 90°
∠2 = 26°
Step-by-step explanation:
Answer:
9.5
Step-by-step explanation:
1. Arrange in ascending order
4 5 6 7 8 9 10 11 12
2. Upper Quartile formula:
3×(N+1)÷4
3. Number of terms (N) = 9
4. Apply:
3×(9+1)/4
=3×10/4
=30/4
=7.5th term
5. 7.5th term is the average of the 7th and the 8th term so
Take average
7th term is 9 and 8th term is 10
6. Find average of 9 and 10 = 9.5
7. ANSWER : THE UPPER QUARTILE IS 9.5 FOR THE GIVEN DATA
2x^2 - 3 = -4x - 1
2x^2 + 4x - 3 + 1 = 0
2^2 + 4x - 2 = 0 <==
9514 1404 393
Answer:
2. (only)
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. To determine if these are right triangles, determine if that condition is met.
1. 3^2 +5^2 = 9 + 25 = 34 ≠ (√35)^2 . . . . not a right triangle
2. 5^2 +4^2 = 25 +16 = 41 = (√41)^2 . . . a right triangle
3. 6^2 +8^2 = 36 +64 = 100 ≠ (√10)^2 . . . . not a right triangle
4. 3^2 +3^2 = 9 +9 = 18 ≠ (3√3)^2 = 27 . . . . not a right triangle
If he fills 5.9 bags for 18 hours, he will have filled a total of 106.2 bags