Answer:
The volume of cube C is
Step-by-step explanation:
step 1
Find the diameter of sphere B
we know that
When a cube is inscribed in a sphere, the long diagonal of the cube is a diameter of the sphere
Let
L ----> the length side of cube A
d ----> the diagonal of the base of cube A
D ---> the long diagonal of cube A
Find the diagonal of the base of cube A
Applying the Pythagorean Theorem
we have
substitute
Find the long diagonal of cube A
Applying the Pythagorean Theorem
substitute
step 2
we know that
If sphere B is inscribed in cube C, then the length side of cube C is equal to the diameter of sphere B
Let
c ----> the length side of cube C
we have that
The volume of cube C is equal to
substitute
Answer:
r = 5
Step-by-step explanation:
1+4=-5+2r
5 + 5 = 2 r
r = 10/2
r = 5
Answer:
Step-by-step explanation:
Remember that sine is the ratio of the opposite side to its hypotenuse:
For D, the opposite side to D is 28, and the hypotenuse is 53. Therefore:
Or, in decimal form:
Likewise, the side opposite to E is 45, and the hypotenuse is 53. Therefore:
And using a calculator:
Help with what? You should insert an image of your problem or copy the question down.
If you know that x = -4, then you can use this to find y <span>by plugging it into -3 = 5y - 2x</span>