Question 1. Find the surface area of the square pyramid below.
2 answers:
Answer:
see explanation
Step-by-step explanation:
(1)
SA = area of square base + area of 4 congruent triangular faces
= (3.5 × 3.5) + (4 × × 3.5 × 10 )
= 12.25 + 70
= 82.25 in²
(2)
SA = area of circular base + area of curved surface
[ area of curved surface = πrs, r is the radius and s the slant height ]
SA = π × 2² + π × 2 × 6 = 4π + 12π = 16π ≈ 50.27 m²
(3)
SA = area of circular base + area of curved surface
[ note diameter = 19, hence r = 9.5 ]
SA = π × 9.5² + π × 9.5 × 17 = 90.25π + 161.5π = 251.75π ≈ 790.90 cm²
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Answer:
Domain : x ≥ -2
Range : y ≥ -4
Step-by-step explanation:
The given function is:
y = √(x + 2) - 4
Domain can be defined as the set of all possible values of x for which the function y is real and defined.
We can see that if we substitute x = -3 in the function, the value of under the underroot becomes negative, so the function becomes imaginary. If we substitute x = -2 or any value greater than that, the value of the function will be real and defined. Hence, the domain of the function is found x ≥ -2.
Range can be defined as all values of y which correspond to the domain. As minimum value of domain is x = -2, we substitute that in the function to get y = -4, which shows the minimum value of range. Hence, Range is y ≥ -4
We can see the domain and range in the graph
