Seeing as there are no answer choices, here are all the answers I would think to make. Quick note, associative property of multiplication states that you can change the parenthesis/order of your multiplication in any order and it will stay true, example: (5)(8)(3)=40*3 and 24*5.
Answers: (32)(40)(x), (32)(40x), (32)(8)(5)(x), (32)(8x)(5), (160)(8x), (160x)(8), (160)(8)(x), (32x)(8)(5), (256x)(5), (256)(5x), (256)(5)(x), (1280)(x), (1280x)
Answer:
Step-by-step explanation:
Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
d² = 10² + 10² = 200
d = √200 = 14.14cm
Formula for finding the volume of a sphere is expressed as
Volume = 4/3 × π × r³
Radius of sphere = diameter/2 = 14.14/2 = 7.07cm
Volume = 4/3 × π × 7.07³ = 471.19π cm³
6x^2-x-2 this is of the form ax^2+bx+c
jk=ac=-12 and j+k=b=-1 so j and k must be -4 and 3 so
6x^2+3x-4x-2
3x(2x+1)-2(2x+1)
(3x-2)(2x+1)
Answer: 6
Step-by-step explanation:
Answer:
b = 30 degrees.
Step-by-step explanation:
Two angles are said to be complement of each other if their sum is 90 degrees
________________________
given
one angle is b
let other angle be x
given that angle b is one-half the measure of its complement
thus, mathematically we can the above statement as
b = 1/2(x)
now sum of both the angle will be 90 degrees as they are complementary
b + x = 90
using b = 1/2(x)
=> 1/2(x) + x = 90
=> x/2 + x = 90
=> (x +2x)/2 = 90
=> 3x = 180
=> x = 180/3 = 60
thus,
b = 1/2(x) = 1/2(60) = 30
thus, measure of angle b is 30 degrees.
