Micheal has 40ft of fencing for the rectangular dog run. So the perimeter of the dog run is 40ft.
Perimeter=40ft
The perimeter of a rectangle is:
P=2l+2w
Since we know the length is 5 and the perimeter is 40, we can solve for the width.
P=2l+2w
40=2*(5)+2w
40=10+2w
subtract 10 from both sides
30=2w
divide both sides by 2
15=w
The width of the fence is 15feet.
<em>Please </em>use for reference. Merci.
To find rate of change simply divide y/x.
hour 2: 56/2=28
hour 4: 125/4~about 31.3 or 31
hour 5: 164/5=32.8 or ~ 33
hour 8: 271/8 ~ about 34 or 33.875
hour 13: 404/13 ~ about 31 or 31.0769231
What numbers are the largest?
hours 5 and 8
Thus, the correct answer was option C.
Distribute 2/5 and 3/5 into the ():
2/5(a+b)+3/5(a+c)
2/5 a+ 2/5 b+3/5 a+ 3/5 c
combine the like terms:
2/5 a+3/5 a= 5/5 a --> 1a --> a
new simplified equation:
a+2/5 b+3/5 c
Answer:
Step-by-step explanation:
Let 
, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:
(1)
(2)
Now we perform the operations: 
(3)
By the quadratic formula, we find the following solutions:
and 
Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:
By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:
Then, the values of the cosine associated with that angle is:
Now, we have that 
, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:
(4)
(5)
If we know that and , then the value of the function is:
