The written form for the decimal number .954 is nine hundred and fifty four thousandths.
Answer:
Step-by-step explanation:
This problem does not specify what the radius of the circle is, and so we will have to represent that by r.
Arc length = s = rФ, where Ф is the central angle in radians.
Converting 162° into radians:
162° 1 rad
------- · ------------ = 0.9 rad
1 180°
Then the arc length BC is s = rФ, or r(0.9 rad)
If, for example, r = 10 m, then the arc length would be (10)(0.9) m = 9 m
17.32 deal with it aaaaaaaaaaaaaaaaa
Answer:
3x3
Step-by-step explanation:
G is a 3 x 4 matrix and His a 4x 3 matrix
In multiplication of matrix a particular formula is used
If G = MN and H = NM then GH = MM
So G= 3x4 and H = 4x3
Then GH = 3x3
The above rule is a rule that binds matrix multiplication and allows for an easier calculations and also helps check the possibility of the multiplication.
As for the above, the multiplication is possible an the result of the multiplication will give us a 3x3 matrix
Answer:
Dimensions :
x (the longer side, only one side with fence ) = 90 ft
y ( the shorter side two sides with fence ) = 45 ft
Total fence used 45 * 2 + 90 = 180 ft
A(max) =
Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.
Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side
Then we have:
P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)
And A (r) = x * y
A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2
Taking derivatives on both sides of the equation :
A´(x) = 90 - x
Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft
and from : y = ( 180 - x ) / 2 ⇒ y = 90/2
y = 45 ft
And
A(max) = 90 * 45 = 4050 ft²
