Answer:
(b)
P = [4(4a + 3b]/(2a + b)
Step-by-step explanation:
P = 2L + 2W
P = [2(5a + 4b) + 2(3a + 2b)]/(2a + b)
P = [10a + 8b + 6a + 4b]/(2a + b)
P = [16a + 12b]/(2a + b)
P = [4(4a + 3b]/(2a + b)
The triangle sum theorem says all 3 interior angles must equal 180 degrees.
so, 43 + 35 = 78. [ 180 - 78 = 102 degrees for the missing angles shared by the 2 triangles.
102 + 18 = 120. [180 - 120 = 60}
leaving the measure of Angle A as 60 degrees.
Exact form: b= 22/5
Decimal form: b= 4.4
Mixed number form: b= 4 2/5
Answer:
Step-by-step explanation:
<u>Combination for the school government requires:</u>
- 5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 56
- 4 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 126
- 3 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 220
- 2 out of 7 fishermen = 7! / 2!5! = 6*7/2 = 21
<u>So number of total ways is:</u>