Answer:
1/3
Step-by-step explanation:
Alright, so in this you want to use the slope formula: m=y2-y1/x2-x1. You plug the coordinates of the points into the formula to get the slope. (x1,y1) (x2,y2). So in this problem, 7 is x1, -1 is y1, -2 is x2, -4 is y2. So using the formula, you plug in y2 minus y1, divided by x2 minus x1.
So m (the slope) = -4- (-1) divided by -2-7.
2 negatives make a positive, so -4 + 1 is -3. -2-7 becomes -9. So this is now -3/-9. Again, 2 negatives make a positive, so this is now 3/9. Simplify and the answer is positive 1/3. Hope this helps!
Answer:
Area: 272ft²
Volume = 82.6236447189ft³
Step-by-step explanation:
AREA
The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:
Area of base = area of square = L² = 8² = 16ft²
Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²
There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²
VOLUME
The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.
We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:
A²=B²+C²
16²=(8/2)²+h²
256=16+h²
h=√240
h=15.4919333848ft
Knowing h, we can find the volume:
Volume = (a²)(h/3)
Volume = (8²)(15.4919333848/3)
Volume = (16)(5.16397779493)
Volume = 82.6236447189ft³
Answer: Answer might be 4.2 kilograms per month
Step-by-step explanation: I know that the main pattern is 7.8 kilos in 1.5 months, so I divided that by three to get 3 0.5s ( 2.6 ) and added two of dems together for one solid 4.2 kilograms as a answer.
I don't know for sure ( just woke up ) but hope this helps!