9/-1.........................
Answer: 1 27
2. 54
9 243
10. 270
Step-by-step explanation: for one batch, the total minutes will be 15 + 12, so 27. Multiply 27 times b, the number of batches.
There may be another solution IF he is starting to prepare the next batch while the preceding is in the oven. Since this is not stated, I won't offer that solution here.
Answer:
C. k=68, t=52
Step-by-step explanation:
Let u, v, y represent the measures of the unmarked angles at the respective vertices. The angles of the equiangular triangle are all 180°/3 = 60°, so we have the relations ...
- y=v
- y+v+k = 180
- v+64+60 = 180
- u=64
- u+64+t = 180
From these relations, we know that
... v = 180 -124 = 56 . . . . . 3rd equation above
... 56 +56 +k = 180 . . . . . . 2nd equation above, with y=v=56
... k = 180 -112 = 68 . . . . . above with 112 subtracted
... t = 180 -128 = 52 . . . . . 5th equation above with u=64 and 128 subtracted
Answer:
midpoint = (-2 , 6)
Step-by-step explanation:
The midpoint can be found with the formula {(x1 + x2 )/2, (y1 + y2.) P1( x1 , y1 ), and P2 (x2 , y2 ) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.
Answer:
A. 60 feet B. 7200 ft²
Step-by-step explanation:
A. Find the length of the corral along the river that will give the maximum area
To find the length of the corral that will give the maximum area, we differentiate A with respect to x and equate it to zero.
So, dA(x)/dx = d[x(240 - 2x)]/dx
= (240 - 2x)dx/dx + xd(240 -2x)/dx
= 240 - 2x -2x
= 240 - 4x
So, dA(x)/dx = 0
240 - 4x = 0
4x = 240
x = 240/4
x = 60 feet
B. Find the maximum area of the corral
The maximum area at x = 60 feet is
A(x)=x(240−2x)
A(60)=60(240−2(60))
A(60) = 60(240 - 120)
A(60) = 60(120)
A(60) = 7200 ft²
