Answer:
Length = 29 m
Width = 29 m
Step-by-step explanation:
Let x and y be the length and width of the rectangle, respectively.
The area and perimeter are given by:
Rewriting the area as a function of x:
The value of x for which the derivate of the area function is zero, is the length that maximizes the area:
The value of y is:
Length = 29 m
Width = 29 m
Answer:
46/5 hope it helps!
Step-by-step explanation:
9x5= 45
45+1= 46
46/5
3x+11=65
3x=54
x=18
180-(35+65)=y
180-100=y
80=y
Answer: 23.4 ft^3
Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.
Answer:
1. 3√6 + 10
2. 35 + 7√50
3. 24√2 - 20√6 + 15√3 - 18
4. 17√6 - 38
5. 13√10 - 42
Step-by-step explanation:
The questions are in surd form.
1. (2√2 + √3)(2√3 - √2)
open the parenthesis by multiplying both together .
4√6 + 4 + 6 - √6
3√6 + 10
2. (√5 + 2√10)(3√5 + √10)
15 + √50 + 6√50 + 20
35 + 7√50
3. (4√6 - 3√3)(2√3 - 5)
8√18 - 20√6 - 18 + 15√3
8√9 × 2 - 20√6 - 18 + 15√3
24√2 - 20√6 + 15√3 - 18
4. (6√3 - 5√2)(2√2 - √3)
12√6 - 18 - 20 + 5√6
17√6 - 38
5 (√10 - 3)(4 - 3√10)
4√10 - 30 - 12 + 9√10
13√10 - 42
