Answer:
It is 10.
Step-by-step explanation:
b=70 divided by 10 which is 7
9514 1404 393
Answer:
240 ft by 480 ft
Step-by-step explanation:
Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.
The fenced field dimensions are 240 feet by 480 feet.
__
You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.
The total area is the product of these dimensions:
A = x(960 -x)/2
We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.
The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.
2 - 3d = 4d - 19
Add the opposite to both sides to get the variable on the left side only.
2 - 3d = 4d - 19
-4d -4d
2 - 7d = - 19
Then get the terms w/o variables on the right,
2 - 7d = - 19
-2 -2
-7d = -21
Then divide by the number paired with the variable.
--7d = -21
----- ----- ; d = 3
-7 -7
Final answer = 3
Hope I helped :)
Answer:
150
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<1 + <2 = <3
3x+11 + 3x+19 = 7x+10
Combine like terms
6x+30 = 7x+10
Subtract 6x from each side
6x -6x+30 = 7x-6x+10
30 = x+10
Subtract 10 from each side
30-10 = x+10-10
20 =x
We need to find angle 3
<3 = 7x+10
= 7(20)+10
= 140+10
= 150