Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
1. the combinations are 5 and 3 twice and 3 and 4 twice
5+3+5+3+3+4+3+4= 30 L
2. Trya can ride 12 , 18, 24,30 kilometres are the possible distance
3. lexi can put 4 ribbons and 2 photos on her bulletin that is 40 cm meters.
ribbons 4×4=16
bulletin 12×2=24
altogether 40 cm with nothing overlapping
4. don't know dollars and centd sorry I know pounds as I am British
Answer:Amount = 10,002.21
Step-by-step explanation:4 x 5 = 20 times
2.-
Principal = 5,000
Interest rate per yr = 3%
Compounded times per yr = 4
Time in years = 5
The formula is amt = p*(1 + r/n) ^ (n*t),
thus
Amount = 5,805.92
3.-
If Time in years = 23.2
then
Amount = 10,002.56
4.-
Principal = 5,000.00
Interest rate per yr = 5.82%
Compounded times per yr = 4
Time in years = 12
The point of inflection is calculated by equating the second derivative to zero and determining x from there.
f"(x) = -x²2xsinx² + cosx²(2x) = 0
2xcosx² - 2x³sinx² = 0
2x (cosx² - xsinx²) = 0
2x = 0 ⇒ x = 0
cosx² - xsinx² = 0 ⇒ x = 3.82 (if you use shift+solve in your scientific calculator)
Thus, the function only has 1 point of inflection and it is at x = 0.
