Answer:
C. 7790.83 cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We know the radius is 12.3
Using 3.14 for pi (This will give us an approximation, not an exact value)
V = 4/3(3.14) (12.3)^3
=7790.82984 cm^3
Answer:
2. proven 3.Given 4.Given
Step-by-step explanation: I'll take this down if it is incorrect.
Answer: Yes -40 is the answer
Explanation:
-12 = u/8 - 7
8(-12)/8 = u/8 - 8(7)/8
-96/8 = u/8 - 56/8
-96 = u - 56
-u = -56 + 96
-u = 40
u = -40
Of course you need to know what "gross margin percentage" means.
Roughly speaking it is the profit as a percentage of sale price.
When a unit costs $1.00 and is sold at $2.50 the excess revenue is $1.50
Although we could express this profit margin as a FRACTION of the sale price,
(so this would be 1.50/2.5 = 3/5), it is usual to state this as a PERCENTAGE.
The gross margin percentage in the original case would be 100 * 3/5 = 60%
Let cost price be c, sale price be s.
Gross margin percentage g = 100* (s - c)/s
Solving this for sale price s
s = c/[1 - (g/100)]
When unit cost increases $0.25 we have c = 1.25
so s = 1.25[1 - 0.6] = 1.25/0.4 = 3.1
Action needed to maintain the gross margin percentage
is to increase selling price to $3.10
From the astronaut to the horizon is a tangent line to the curvature of the earth. And from that point on the horizon to the center of the earth is at a right angle to the tangent and is equal to the radius of the earth...so we can say
cosα=r/(r+h) where r is the radius of the earth and h is the height above the surface of the earth...
α=arccos(r/(r+h))
now tanα=d/r where d is the distance from the astronaut to the point on the horizon so:
tan(arccos(r/(r+h))=d/r
d=rtan(arccos(r/(r+h))) and using r≈4000 and h=50 we get:
d=4000tan(arccos(4000/(4050)))
d≈634.42mi
d≈634 mi (to nearest mile)
