Answer:
7
Step-by-step explanation:
If you divide 8y / 8 then you have to do the same thing to 56. When you do, y = 7
Answer:
C. 17, 12, 7
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.
In choices A, B, and D, there is at least one sum of the lengths of two segments that is less then the length of the third segment. That shows that choices A, B, and D cannot form triangles.
A. 8 + 7 = 15 < 16 No
B. 9 + 7 = 16 = 16 No
D. 11 + 5 = 16 < 17 No
C.
17 + 12 = 29 > 7
12 + 7 = 19 > 17
17 + 7 = 24 > 12
Yes
Given the Perimeter of the Lot is 436 ft, and an inner building whose base measures 122ft by 60ft. The key in the problem is that the easement is uniform.
Let X be the measure of easement. See attached
You will derive the equation where if you add X on the length of the inner rectangle length and width, you have below equation
P = 2L + 2W
P = 2*(122+2X) + 2*(60+2x)
436 = 244+4x + 120+4x
Rearranging the equation by shifting all constant on one side.
8x = 436-244-120
8x = 72
x=9 ft
Answer is 9ft easement for with respect to the base of the inner building.
Answer:
Rate of change of the area of the rectangle at that instant = 7 cm²/hr.
Step-by-step explanation:
Area of rectangle = Height x Width
A = hw
The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.

Differentiating area with respect to time,

We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.