Answer:
- 4 ≤ x < 2
Step-by-step explanation:
The interval is [ - 4, 2 )
The bracket on the left side indicates x can equal - 4
The parenthesis on the right side indicates x cannot equal 2
Thus the inequality represented by the graph is
- 4 ≤ x < 2
The volume of pyramid is 4000 inch³.
<h3>What is Volume?</h3>
Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies. Volume is measured in cubic units like m³, cm³, in³, etc. Volume is sometimes referred to as capacity.
The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.
Given:
base = 20 inches
height = 30 inches
Now, volume of pyramid
Volume = a²h/3
Volume = 20 x 20 x 30 /3
Volume = 400 x 10
Volume = 4000 inch³
Hence, the volume of pyramid is 4000 inch³.
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Answer:
Width: 12 ft
Maximum area: 144 ft²
Step-by-step explanation:
A = 24x – x²
A = –x² + 24x
A = –(x² – 24x)
A = –(x² – 24x + 144) + 144
A = –(x – 12)² + 144
Therefore, the maximum area of 144 ft² occurs at x = 12 ft.
The value of 4 becomes 10 times greater in the second number than the first.
Answer:
43.5 unit^2.
Step-by-step explanation:
Area of the triangle
= 1/2 * base * height
= 1/2 * AB * AC.
AB = √ [(6-1)^2 + (6-8)^2] = √29
AC = √ [(8 - (-7))^2 + (1 - (-5)^2] = √261
So the area = 1/2 * √29 * √261
= 43.5
