Answer:
A.16–i is correct.
Step-by-step explanation:
(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]
(4²–i²)=16–i
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Answer:
144
<h3>
Step-by-step explanation:</h3>
If 48 is the perimeter, then 48 divided by 4 is one of the side lengths.
L x W = Area
12 x 12 = Area
12 x 12 = 144
Area = 144
Answer:
C
X=-16
Step-by-step explanation:
Answer:
l = 9/2 or 4.5
m = 11/4 or 2.75
Step-by-step explanation:
4l + 8m = 40
8m = 40 - 4I
m = 5 - 0.5l
5l + 2m = 28
5l + 2(5 - 0.5l) = 28
5l + (10 - l) = 28
4l + 10 = 28
4l = 18
l = 18/4 or 9/2
l = 4.5
4l + 8m = 40
4(4.5) + 8m = 40
18 + 8m = 40
8m + 18 = 40
8m = 22
m = 22/8
m = 2.75
Answer:
1) Volume of triangular pyramid = 33 cm³.
2) Volume of triangular prism = 99 cm³
Step-by-step explanation:
1) Volume of a triangular pyramid is given as;
V_py = ⅓Ah
Where A is area of base and h is height
We see from the diagram that;
A = 11 cm²
h = 9 cm
Thus; V_py = ⅓ × 11 × 9 = 33 cm³
2) Volume of triangular prism is given by;
V_pr = ½bhl
Where;
½bh is area of triangular cross section
l is length
We see from the diagram that ½bh = 11 cm² and L = 9 cm
Thus;
V_pr = 11 × 9 = 99 cm³