The student didn't make any mistake. The slope of the line between those points is 3/8.
Answer:
- <em>The next number in the series 100, 96, 104, 88, 120, 56, ... is</em>: <u>184</u>
Explanation:
1) You need to try to find a pattern in the given sequence, so that you can conclude a rule to determine each number in the sequence.
2) The first logical approach to find such pattern is to find the differences between any pair of consecutive numbers. That leads you to this:
3) From that, you can see that the difference between two consecutive numbers is scaled by a factor of - 2. That is shown here:
- Second difference = 8 = - 4 ( - 2)
- Third difference = - 16 = 8 (- 2)
- Fourth difference = 32 = - 16 ( - 2)
- Fifth difference = - 64 = 32 ( - 2)
4) Therefore, in words, the rule is "add (- 2) times the previous difference", which is:
⇒ 56 + 128 = 184.
⇒ Answer: the next number is 184.
Answer: -4
A P E X
Step-by-step explanation:
The answer is the letter T because the two ends will never meet.
Answer:
c = 27.9
B = 62.13°
C = 89.90°
Step-by-step explanation:
We are given the following values:
A= 121.59°, a = 27.9 cm, b = 52.6 cm
a) Finding side c
We would use Pythagoras Theorem
c² = a² + b²
c = √(a² + b²)
c = √(27.9² + 52.6²)
c = 59.54cm
≈ Approximately = 59.5cm
b) Finding B
We would be using Cosine rule to find Angle B
Cos B = a² + b² - c²/2ab
B = arc cos ( a² + c² - b²/2ac)
B = arc cos( 27.9² + 59.5² - 52.6²/ 2 × 27.9 × 59.5)
B = 62.13268°
B = 62.13°
c) Finding C
We would be using Cosine rule to find Angle C
Cos C = a² + b² - c²/2ab
C = arc cos ( a² + b² - c²/2ab)
C = arc cos( 27.9² + 52.6² - 59.5²/ 2 × 27.9 × 52.6)
C = 89.9°
