Answer:
12.4967 m
≈ 12.5 m
Step-by-step explanation:
From the solution diagram attached, to find /AB/, we apply sine rule:
AB/Sin 140° =AD/Sin 15°
AB = 10/Sin 15° x Sin 140°
= 24.8372 m
To calculate the height of the pole we will calculate BC first. Using the right angle triangle ∠ABC, we have:
Sin ∅ = BC/AB
Sin 25° = BC/ 24.8372
BC = 24.8372 Sin 25°
= 10.4967 m
The height of the pole = BC + 2.0
= 10.4967 + 2.0
= 12.4967
≈ 12.5 m
Answer:
x=2.83
Step-by-step explanation:
Through visual interpretation we get that,
CDF=FDE+CDE
Hence,
3x+14=5x-2+10x-18
3x-5x-10x=-14-2-18
-12x=-34
x=2.83
Answer:
1040
Step-by-step explanation:
20,000 is how much you have and you would multiply 20,000*5.2% or 20,000*.052 (converting a percent to a decimal.)
Answer:
16
Step-by-step explanation:
Area of circle Formula: A = πr²
d = 2r
Simply plug in what you know:
201.0624 = 3.1416r²
64 = r²
r = 8
d = 2(8)
d = 16
We will start with Chris's age, since Sue is older than him and Jim is older than Sue. Chris is the youngest. We will say Chris's age is x. If Sue is 2 years older than Chris, Sue is x + 2. Jim is 4 years older than Sue, so Jim is 4 + x + 2, or x + 6. The total of their ages is 68, so x + x + 2 + x + 6 = 68. Simplifying we have 3x + 8 = 68. 3x = 60, so x = 20. Chris is 20, Sue is 22, and Jim is 26. Those numbers do in fact total 68.