Answer:
<h3>
Length = 12 ft</h3>
Width = 
Step-by-step explanation:
Given,
Area of rectangle = 
Width = X
Length = 2x + 5
Now,






Either




Or,



Negative value can't be taken.
So, width = 
Again,
Finding the value of length,
Length = 



Length = 12 ft
Answer: D) 32
Step-by-step explanation:
The area of a parallelogram equals its base times its height. Substitute the base and area into this formula to solve for the height:
A=bh
40=(5)(h)
h=8
If ABCD is a parallelogram, opposite sides are parallel, so AB is parallel to DC. If AB is parallel to DC, EB is parallel to DC. Since EB is parallel to DC, quadrilateral EBCD has at least one pair of parallel sides, making it a trapezoid. The area of a trapezoid is equal to
where h is the height,
is one base, and
is the other base. Plug the necessary values into the formula:
A=


h=8
A=
A=32
The answer is D) 32.
Answer:
4
Step-by-step explanation:
The volume of a sphere is equal to 4/3πr³.
Set up the equation;
4/3πr³=256π/3
Multiple both sides by 3/(4π):
r³=64
r=∛64=4 (ans)
<span>ds=<span>√<span>1+<span><span>(<span><span>dy</span><span>dx</span></span>)</span>2</span></span></span><span>dx</span>=<span>√<span>1+<span>14</span><span>(<span>x4</span>−2+<span>1<span>x4</span></span>)</span></span></span><span>dx</span></span>
<span>=<span>√<span><span>14</span><span>(<span>x4</span>+2+<span>1<span>x4</span></span>)</span></span></span><span>dx</span>=<span>√<span><span>1<span>22</span></span><span><span>(<span>x2</span>+<span>1<span>x2</span></span>)</span>2</span></span></span><span>dx</span></span>
<span>=<span>12</span><span>(<span>x2</span>+<span>1<span>x2</span></span>)</span><span>d<span>x</span></span></span>
The length of a circumference: l=πD
l₁=π×5=5π
l₂=π×15=15π
Then l₂÷l₁=15π÷5π=3 and the answer is B)