By the Pythagorean Theorem:
d^2=x^2+y^2, where x and y are the dimensions of the rectangle, however this is just a square, so x=y=s so
d^2=s^2+s^2
d^2=2s^2, and we are told that s=6 so
d^2=2(6^2)
d^2=2(36)
d=√(2(36))
d=6√2 units
d≈8.49 units (to nearest hundredth of a unit)
The circumference or perimeter of the circle has the formula 2*pi*r, where r is the radius of the circle. This could then be easily calculated:
C = 2*pi*r
53.38 = 2*3.14*r
53.38 = 6.28r
r = 53.38/6.28
r = 8.5 ft
Thus, the radius of the circle has a length of 8.5 feet.
Answer:
25/12
Step-by-step explanation:
1/2 + 2/5s = s - 3/4
2/5s = s - 5/4
-3/5s = -5/4
s = 25/12
Answer:53-6
Step-by-step explanation:
That’s the answer
Answer:
y = -4
Step-by-step explanation:
Solve the following system:
{4 x + 5 y = -12 | (equation 1)
3 y - 2 x = -16 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{4 x + 5 y = -12 | (equation 1)
0 x+(11 y)/2 = -22 | (equation 2)
Multiply equation 2 by 2/11:
{4 x + 5 y = -12 | (equation 1)
0 x+y = -4 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{4 x+0 y = 8 | (equation 1)
0 x+y = -4 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 2 | (equation 1)
0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = 2
, y = -4