Answer:
x = 16
y = 16 sqrt(3)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/hyp
sin 60 = y/ 32
Multiply each side by 32
32 sin 60 = y
32 ( sqrt(3) /2) = y
16 sqrt(2)
cos theta = adj/ hyp
cos 60 = x /32
32 cos 60 = x
32 (1/2) =x
16 =x
ANSWER
The sphere is 10762 cubic centimeters bigger than the cube.
EXPLANATION
We want to find the difference in the volumes of the sphere and the cube.
To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.
The volume of a sphere is given as:

where r = radius
The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:

The volume of a cube is given as:

where s = length of the side
The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:

Therefore, the difference in the volumes of the sphere and cube is:

Therefore, the sphere is 10762 cubic centimeters bigger than the cube.
Answer:
(2x+5)(4x+3)
Step-by-step explanation:
Given the expression 8x^2 + 26x + 15
Factorize
8x^2 + 26x + 15
= 8x^2 + 6x + 20x + 15
= 2x(4x+3) + 5 (4x+3)
= (2x+5)(4x+3)
Hence the factored form of the expression is (2x+5)(4x+3)
Answer:
Step-by-step explanation:
True