Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x) * 6 =(5+x+3) *5
(6+x) * 6 =(x+8) *5
Distribute
36+6x = 5x+40
Subtract 5x from each side
36+6x-5x = 5x-5x+40
36+x = 40
Subtract 36 from each side
36+x-36 = 40-36
x = 4
First number is f
Second number is s
f-s=.7
f+s=1
Using elimination, you could solve this.
-1(f-s=.7); eliminate the first number.
-f+s= -.7
f+s=1
2s=.3
s=.15
Now find the second number by plugging it in:
.15+s=1
1-.15=.85
The numbers are .15 and .85.
Answer:
5mph
Step-by-step explanation:
Let speed of boat in still water is s.
Distance proportional to speed
90/10 = (s+ 4)/(s - 4)
=> 9s - 36 = s + 4
=> 8s = 40
=> s= 5 mph
:-)
Answer:
the approximate area of this circle is 200.96 inches long.
Step-by-step explanation:
To answer this problem we need to remember that the area of a circle is given by the formula:
Area = π
where r is the radius.
and the perimeter is:
Perimeter = 2πr
Now, the problem tells us that the circle is enclosed by a piece of rope that's 50.24 inches long. So the perimeter of the circle is 50.24 inches.
Since we have the value of the perimeter and the value of pi, we are going to substitute these values in the perimeter formula to find r.
Perimeter = 2πr
50.24=2(3.14)r
50.24= 6.28r
50.24/6.28= r
8= r
Thus, the radius of the circle is 8 inches long.
Now, we can use this value to find the area of the circle:
Area = π
Area = π
Area = 3.14 (64)
Area = 200.96
Therefore, the approximate area of this circle is 200.96 inches long.