To solve this, we are going to use the surface are of a sphere formula:
where
is the surface area of the sphere
is the radius of the sphere
We know for our problem that
and
, so lets replace those vales in our formula:
Now, we just need to solve our equation for
:
or
Since the radius of a sphere cannot be a negative number,
.
We can conclude that the radius of a sphere with surface area <span>2,122.64 </span>
is
13 in.
X^2 + 2x = -1......take half of ur x term (2x), and square it. So we take half of 2, which is 1, and square it....1^2 = 1....so u would add 1 to both sides
Answer:
Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).
Explanation:
You are given:
every serving of shrimp contains 2g of fat and 5mg of iron;
every serving of rice contains 6g of fat and 7mg of iron;
each meal should have 6g of total fat and 10mg of total iron.
You need to set a system of equation: let's call
s = quantity of shrimps
r = quantity of rice
The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g
2s + 6r = 6 (1)
Similarily:
the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g
5s + 7r = 10 (2)
In order to solve the system, solve for s in equation (1):
s = (6-6r)/2 = 3 - 3r (3)
Substitute in equation (2):
5(3 - 3r) + 7r = 10
and solve for r:
15 - 15r + 7r = 10
8r = 5
r = 5/8
Substitute the value of r in equation (3):
s = 3 - 3×5/8 = 9/8
Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.