Answer:
C. 3.4 feet
Step-by-step explanation:
Let, the amount of increase be 'x' feet.
As, the length and width of the garden are 20 ft and 12 ft respectively.
It is given that the area of the new garden is 360 ft²
Since, the length and width are increased by 'x'.
The new length and width are (x+20) ft and (x+12) ft respectively.
So, we get,
New area, 
= length × breadth = (x+20) × (x+12)
i.e. 360 = 
i.e. 
i.e. (x+35.4)(x-3.4)=0
i.e. x = -35.4 and x= 3.4
Since, the value of x cannot be negative.
Thus, x = 3.4 feet.
Answer: 
Step-by-step explanation:
The expression given in the exercise is:
If you descompose the number 8 into its prime factors, you get that:
Therefore, you can rewrite the numerator of the expression as following:
For this exercise you need to remember that for a Difference of cubes:
Then, applying this, you get:
Now, it is necessary to remember the following:
Knowing the above, you can say that:
Therefore applying this, you get that the simplified expression is:
Answer:
408 in²
Step-by-step explanation:
A rectangular prism has 6 rectangular faces.
Opposite faces are congruent
2 faces at (6 × 9) = 2 × 54 = 108 in²
2 faces at (9 × 10) = 2 × 90 = 180 in²
2 faces at (6 × 10) = 2 × 60 = 120 in²
surface area = 108 + 180 + 120 = 408 in²
The Pythagorean Theorem states that a² + b² = c², c being the hypotenuse.
Substitute known values into the equation.
7² + 2² = c²
49 + 4 = c²
c² = 53
c = √53
c = 7.28010989
Answer: The hypotenuse's length is 7.3 feet.
9 in 7,932 would equate to 900, while the 9 in 4193 would equal 90. They represent different number values.
