9514 1404 393
Answer:
- sides: 12 feet
- front: 28 feet
Step-by-step explanation:
Let x represent the length of one side of the yard. Then the width of the yard is 2x+4, and the perimeter is ...
P = 2(L +W) . . . . . . . . . . formula for perimeter of a rectangle
80 = 2(x + (2x+4)) . . . . . with values from the problem filled in
40 = 3x +4 . . . . . . . . divide by 2, collect terms
36 = 3x . . . . . . . . . subtract 4
12 = x . . . . . . . . . divide by 3. This is the length of the side fence.
2x +4 = 2(12) +4 = 28
The fence is 12 feet on the sides and 28 feet on the front. (Its total length is 52 feet.)
Answer:
A right angle is neither Obtuse nor Acute
Step-by-step explanation:
Point slope formula is y= mx+b. To find the slope, or m, you need to find the "rise over run". rise = y coordinates, run = x coordinates. And the slope equation is y1-y2/x1-x2. So let's say the first point is (x1,y1) and the second is (x2,y2). that would be 35-(-31)/5-(-6)= 66/11 or 6/1 aka up six, across one. That is your slope. So far you have y=6x+b, next plug (5,35) into that equation and solve for b (aka the y intercept). So: 35=6(5)+b. 35-30=b, b=5. So your final equation is y=6x+5.
The area of one face would he h^2.
There are 6 faces, so the total surface area would be h^2 x 6
Replace total surface area with 2.16, so you now have:
2.16 = h^2 x 6
Now we can solve for h.
Divide both sides by 6:
h^2 = 2.16/6
Take the square root of both sides:
h = √2.16/6
The answer is A.
We see from the attached, that kite area = product of the diagonals / 2
The diagonals could be 12 by 8 or
6 by 16 or
3 by 32, etc
It cannot be narrowed down any further.
