Answer:
The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3
Step-by-step explanation:
Given
Rectangle Pyramid
Base Length = 3x + 1
Base Width = x
Height = 12
Volume = 96
Required
Dimension of the base of the pyramid
Given that the volume of the pyramid is ⅓ of the base area * the height.
This is represented mathematical as
Volume = ⅓ * base area * height.
Where
Base area = width * length
Base area = (3x + 1) * x
Base area = 3x² + x.
So,
Volume becomes
Volume = ⅓ * (3x² + x) * 12.
Volume = (3x² + x) * 4
Substitute 96 for volume
96 = (3x² + x) * 4
Divide both sides by 4
96/4 = (3x² + x) * 4/4
24 = 3x² + x
Subtract 24 fr both sides
24 - 24 = 3x² + x - 24
0 = 3x² + x - 24
3x² + x - 24 = 0
Expand
3x² + 9x - 8x - 24 = 0
Factorize
3x(x + 3) - 8(x + 3) = 0
(3x - 8)(x + 3) = 0
3x - 8 = 0 or x + 3 = 0
3x = 8 or x = -3
x = 8/3 or x = -3
Recall that
Length = 3x + 1
Width = x
For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.
Substitute x = 8/3
Length = 3x + 1
Length = 3(8/3) + 1
Length = 8 + 1
Length = 9
Width = x
Width = 8/3
Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3
Answer:
28%
Step-by-step explanation:
<u>Divide the numerator by the denominator in order to convert this fraction into a decimal.</u>
7/25 = 0.28
<u>Multiply the decimal by 100 to convert into a whole number.</u>
.28 * 100 = 28
<u>7/25 converted into a percent is 28%.</u>
Mstwa do you know the meaning of this
Answer:
1 | noun | a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc
2 | noun | a fact or assertion offered as evidence that something is true
3 | noun | (music) the presentation of a musical theme
4 | noun | a nonverbal message
5 | noun | the act of affirming or asserting or stating something
6 | noun | (computer science) a line of code written as part of a computer program
7 | noun | a document showing credits and debits
(7 meanings)
