From the facts given, the swimming pool and the floor of the gym has the same in size. The pool has a dimension of 75 ft by 60 ft. Basically, the possible size of the gym floor is also 75 ft by 60 ft.
Answer:
Determinant = -12
Step-by-step explanation:
rewrite the system as
-2 = 2x - 3y + 0z
0 = 0x + y - 2z
1 = -3x + 2y - z
then the coefficient matrix is
{ [2, -3, 0]
[0, 1, -2]
[-3, 2, -1] }
to find determinant
{ [2, -3, 0] , 2, -3
[0, 1, -2] , 0, 1
[-3, 2, -1] }, -3, 2
determinant = 2*1*-1 + (-3 * -2 * -3) + (0*0*2) - 0 - (2*-2*2) - 0
determinant = -2 - 18 + 0 - 0 + 8 = -12
The equation the find the circumference of a circle is c=2<span>πr.
c=2</span><span>π5
c=10</span><span>π
c=31.4159...
the circumference of the backyard is 31.4 yards.
Hope I helped...</span>
Well u do 31.2 x 18 which is 561.6 then u divide by 2 because the formula for a triangle is base x height divided by 2 so It is 280.8
an = a1r^(n-1)
a5 = a1 r^(5-1)
-6 =a1 r^4
a2 = a1 r^(2-1)
-48 = a1 r
divide
-6 =a1 r^4
---------------- yields 1/8 = r^3 take the cube root or each side
-48 = a1 r 1/2 = r
an = a1r^(n-1)
an = a1 (1/2)^ (n-1)
-48 = a1 (1/2) ^1
divide by 1/2
-96 = a1
an = -96 (1/2)^ (n-1)
the sum
Sn = a1[(r^n - 1/(r - 1)]
S18 = -96 [( (1/2) ^17 -1/ (1/2 -1)]
=-96 [ (1/2) ^ 17 -1 /-1/2]
= 192 * [-131071/131072]
approximately -192
