Answer:
x = 8 sqrt(2)
Step-by-step explanation:
Since this is a right triangle
sin 45 = opp side/ hypotenuse
sin 45 = 8/x
Multiply each side by x
x sin 45 = 8/x *x
x sin 45 = 8
Divide each side by sin 45
x sin 45 /sin 45 = 8 /sin 45
x = 8 / sin 45
We know sin 45 = 1/ sqrt (2)
x = 8 / 1 / sqrt(2)
x = 8 sqrt(2)
(3^x-2)/9^x=1/3^x-2/9^x
which converges by thereom
it converges to 10/72=5/36
id show work if i could but take my word,
if u cant solve it try working out a few partial sums
Answer:
4 units wide
Step-by-step explanation:
Let the width of the table be 'w'
Given:
Perimeter of the table is, 
The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.
Length of the table is 8 times longer than its width. Therefore,

Now, perimeter is given as:

Now, plug in 72 for 'P' and solve for 'w'. This gives,

So, the table is 4 units wide.
Answer:
4 feet
Step-by-step explanation:
that's the right answer
Answer & Step-by-step explanation:
For this problem, we will use the distance formula.

For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.





So, the distance between (-3,1) and (1,5) is 5.657 units.