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
__
Use 200 for x and do the arithmetic.
f(200) = 50,000(0.975^200) ≈ 316 . . . . lumens/m²
To solve this we are going to use the formula for the volume of a sphere:

where

is the radius of the sphere
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,

. Lets replace that in our formula:



Now, the second diameter of our sphere is 36, so its radius will be:

. Lets replace that value in our formula one more time:



To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=

We can conclude that the volume of additional helium in the balloon is
approximately <span>
17,194 cm³.</span>
Answer:
123
Step-by-step explanation:
b.2+7
Answer: AD = 9cm
Step-by-step explanation: This is a 30-60-90 triangle, so the hypotenuse is equal to twice the length of the short side of the right angle.
BC is the short side of the large triangle, so AB, the hypotenuse of the large triangle is 2×6, 12 cm
BC is also the hypotenuse of the small triangle, ΔBCD, so it is twice the length of BD, to that makes BD = 6/2= 3
Subtract BD from AB.
That's 12 - 3 = 9 the length of AD