Step-by-step explanation:
diameter = 2 * radius
= 2 * 44
= 88 cm (ANS)
5) x^2+3x-1. when x <= -2
3f (-5)= 3 (5^2+3 (-5)-1)
= 75-45-3
=27
-2 <x <6
2 (2)^x-1
4f (2)= 4. (2 (2)^2-1)
=16
x>6
f (10)= (3x+6)/x+2
= 36/12
=3
3f (-5)+4f (2)-f (10)
= 27+16-3
=40. 40 is the final answer
Good luck; )
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
Having a polygon inscribed in a circle divides the circle into equal parts, equal to the amount of sides the polygon has. In the case of a regular octagon inscribed in a circle, the circle is divided into 8 equal parts because of this. Since the measure of a whole circle is 360 degrees, an arc formed by an octagon is equal to 360 divided by 8.
Arc = 360 degrees / 8 = 45 degrees.
Answer:
x=-7
Step-by-step explanation:
x-y=-10
x=-10+y
(-10+y)-6y=-25
-10+y-6y=-25
-5y=-15
y=3
x-3=-10
x=-7