3 feet=1 yard
22/3=7 and 1/3
7 yards and 1/3 yard
1/3 yard=1 foot
7 yards 1 foot
Prime factorize the two numbers:
666 = 2 x 3 x 3 x 37
888 = 2 x 2 x 2 x 3 x 37
Notice I lined up all the numbers into columns. If they appear for both numbers they are paired. The lowest common multiple is the product of all the unique columns:
LCM = 2 x 2 x 2 x 3 x 3 x 37 = 2664
You can use this strategy for as many numbers as you want. Also, you could find the greatest common factor by multiplying only the paired columns.
Answer:
The height of the base if it is 2 in. Wide is 3 inches
Step-by-step explanation:
Volume of rectangular prism = ![\frac{1}{2} \times Length \times Base \times Height](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20Length%20%5Ctimes%20Base%20%5Ctimes%20Height)
Volume of given rectangular prism = ![12 in^3](https://tex.z-dn.net/?f=12%20in%5E3)
Length of prism = 4 in
Base of prism = 2 in
Substitute the values in formula
So, ![12 = \frac{1}{2} \times 4 \times 2 \times Height](https://tex.z-dn.net/?f=12%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%204%20%5Ctimes%202%20%5Ctimes%20Height)
![\frac{12 \times 2}{4 \times 2}=Height](https://tex.z-dn.net/?f=%5Cfrac%7B12%20%5Ctimes%202%7D%7B4%20%5Ctimes%202%7D%3DHeight)
3 = Height
Hence the height of the base if it is 2 in. Wide is 3 inches
Answer:
A) x = 2, x = 7
Step-by-step explanation:
x^2 + 14 = 9x
Subtract 9x from each side
x^2-9x + 14 = 9x-9x
x^2-9x + 14 = 0
What 2 numbers multiply to 14 and add to -9
-7*-2 = 14
-7+-2 = -9
(x-7)(x-2) = 0
Using the zero product property
x-7 = 0 x-2 =0
x=7 x=2
Given we don't know which is the hypotenuse, either FE is, or DF is. Note it can't be DE as the hypotenuse is the longest side and you already know FE is longer than DE.
<span>According to pythagoras: </span>
<span>either FE² = DE² + DF² </span>
<span>or DF² = DE² + FE² </span>
<span>8² = 6² + x² </span>
<span>x² = 64 - 36 </span>
<span>x = √28 = 5.291... </span>
<span>Not one of the given answers so... </span>
<span>x² = 6² + 8² </span>
<span>x² = 36 + 64 </span>
<span>x = √100 = 10 </span>
<span>answer: B) 10 for the frist one</span>