Answer:
1. x = 12
2. 3∛4 feet.
Step-by-step explanation:
1. We are given the equation of x as 
and we have to find the extraneous solution of the equation.
Now, ............. (1)
⇒ 
Squaring both sides we get,
⇒ x - 3 = 81 - 18x + x²
⇒ x² - 19x + 84 = 0
⇒ x² - 12x - 7x + 84 = 0
⇒ (x - 12)(x - 7) = 0
⇒ x = 12 or 7.
Now, putting x = 12 in the equation (1) we get,
Again, putting x = 7 in the equation (1) we get,
Therefore, x = 12 is an extraneous solution of this equation. (Answer)
2. The volume of a cube with side lengths a ft. is given to be 108 ft³.
So, a³ = 108
⇒ a = 3∛4 feet.
Therefore, the length of the sides of the cube are each 3∛4 feet. (Answer)
Answer:
93.18 feet
Step-by-step explanation:
Given:
Length of backyard pool = 31.74 feet
Height of backyard pool = 14.85 feet
To find: Length of fencing bought by Mirele
Solution:
To find the length of fencing bought by Mirele, use the formula for the perimeter of a rectangular pool.
Length of fencing bought by Mirele = 2 ( length + height ) = 2 ( 31.74 + 14.85 ) = 2 ( 46.59 ) = 93.18 feet
Answer:
24 units³
Step-by-step explanation:
Formula:
Volume (V) = length (l) × width (w) × height (h)
V=3×4×2=24 units³
This problem seems it can be worked in a couple different ways. But, I believe arranging the desks in rows of 6 & as many columns as needed depending on the number would be the best solution.
They have the same ratio.
imagine 2 similar triangle, the first one has one side of 8cm and another side with 10cm
the second triangle is one side 4 cm and other side of 5cm
the ratio of side of each similar triangle is the same
4/8 = 5/10 = 1/2
