Answer:
5(√3 - 1)
Step-by-step explanation:
Edge of cube = 10
If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.
Diameter = 10
We will then find the diagonal of the cube.
Diagonal = √10^2 + 10^2 + 10^2
= √300
= 10√3
Let X be the distance between the vertex of the cube and the surface of the sphere
X = (diagonal - diameter) /2
X = (10√3 - 10)/2
X = (10(√3 - 1))/2
X = 5(√3 - 1)
You could bake 9 cookies in 3 min. 5/15 us equal to 1/3 and 3/9 is equal to 1/3 as well.
Answer:
$3
Step-by-step explanation:
Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.
Create a system of equations:
2c + m = 8.5
3c + 2m = 14
Solve by elimination by multiplying the top equation by -2:
-4c - 2m = -17
3c + 2m = 14
Add them together and solve for c:
-c = -3
c = 3
So, a box of cereal costs $3
Answer:
8,000 in the 8% account
20,000 in the 9% account.
Step-by-step explanation:
x + y = 28000
0.08 x + 0.09 y = 2440
0.08 x + 0.09 (28000 − x) = 2440
0.08 x + 2520 − 0.09 x = 2440
80 = 0.01 x
x = 8000
y = 20000