Answer:
336.8 cubic meter or 336.8m³
Step-by-step explanation:
In other to solve the above question we would be using the volume of a square based pyramid.
The formula for the volume of a square based pyramid is
1/3a²h
In the above question we are given the following values as:
Side length of the base = a = 11.1 m
Height of the pyramid = h = 8.2m
Volume of the square based pyramid = 1/3 × 11.1² × 8.2
= 336.774 cubic meter or 336.774 m³
Approximately to the nearest tenth = 336.8 cubic meter or 336.8m³
Equation of a circle in standard form:
(x-h)²+(y-k)²=r²
r=radius
(h,k) is the center.
In this case:
(h,k) =(0,0) (h=0,k=0 )
r=4
Therefore:
(x-0)²+(y-0)²=4²
x²+y²=16
Answer: x²+y²=16
Answer:
y = 4
Step-by-step explanation:
y = 4
The line will always go along y = 4 and therefore is parallel to the x axis
Answer: Choice C
Closed filled in circle at -3; shading to the right.
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Explanation:
Follow the steps shown below to isolate x. Note that the inequality sign flips when we divide both sides by a negative number.
![-4x+8 \le 20\\\\-4x \le 20-8\\\\-4x \le 12\\\\x \ge 12/(-4)\\\\x \ge -3\\\\](https://tex.z-dn.net/?f=-4x%2B8%20%5Cle%2020%5C%5C%5C%5C-4x%20%5Cle%2020-8%5C%5C%5C%5C-4x%20%5Cle%2012%5C%5C%5C%5Cx%20%5Cge%2012%2F%28-4%29%5C%5C%5C%5Cx%20%5Cge%20-3%5C%5C%5C%5C)
Here's another way to isolate x
![-4x+8 \le 20\\\\8 \le 20+4x\\\\4x+20 \ge 8\\\\4x \ge 8-20\\\\4x \ge -12\\\\x \ge -12/4\\\\x \ge -3\\\\](https://tex.z-dn.net/?f=-4x%2B8%20%5Cle%2020%5C%5C%5C%5C8%20%5Cle%2020%2B4x%5C%5C%5C%5C4x%2B20%20%5Cge%208%5C%5C%5C%5C4x%20%5Cge%208-20%5C%5C%5C%5C4x%20%5Cge%20-12%5C%5C%5C%5Cx%20%5Cge%20-12%2F4%5C%5C%5C%5Cx%20%5Cge%20-3%5C%5C%5C%5C)
The inequality sign flip happens much earlier when we go from the format of
to
(in step 3)
The graph of this will have a closed filled in circle at -3, then shading to the right to describe all values -3 or larger.
This is why we go for choice C.