Answer: 6.71
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Work Shown:
The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.
Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x
a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
45 = x^2
x^2 = 45
x = sqrt(45)
x = 6.7082039
x = 6.71
The best thing is to have a ruler with the appropriate units to construct these triangles;)
9514 1404 393
Answer:
316 lumens/m²
Step-by-step explanation:
We assume your intensity function is ...
f(x) = 50,000(0.975^x) . . . . x meters below the surface
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Use 200 for x and do the arithmetic.
f(200) = 50,000(0.975^200) ≈ 316 . . . . lumens/m²
Answer:
Step-by-step explanation:
The formula for determining compound interest is expressed as
B = p(1 + r)^t
where
B is the balance (final amount),
p is the principle (starting amount),
r is the interest rate.
t is the time in years.
From the information provided,
p = $1
r = 10% = 10/100 = 0.1
t = 3 years
The balance in 3 years would be
A = 1(1 + 0.1)^3
A = 1(1.1)^3
A = $1.331
The interest earned after 3 years is
1.331 - 1 = $0.331
Rounding up to the nearest tenth, it becomes $0.3
The answer is a
Hope this helps
