13
−
3
+
2
i
Multiply by
−
3
−
2
i
−
3
−
2
i
to make the denominator of
13
−
3
+
2
i
real.
13
−
3
+
2
i
−
3
−
2
i
−
3
−
2
i
Combine.
13
(
−
3
−
2
i
)
(
−
3
+
2
i
)
(
−
3
−
2
i
)
Expand
(
−
3
+
2
i
)
(
−
3
−
2
i
)
using the FOIL Method.
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13
(
−
3
−
2
i
)
−
3
⋅
−
3
−
3
(
−
2
i
)
+
2
i
⋅
−
3
+
2
i
(
−
2
i
)
Simplify.
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13
(
−
3
−
2
i
)
9
−
4
i
2
Simplify each term.
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13
(
−
3
−
2
i
)
9
+
4
Reduce the expression by cancelling the common factors.
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−
3
−
2
i
Check the picture below.
the base of it is one of the triangles, and thus, the sides are just the 3 rectangles.
notice all you have is a 3x5 rectangle, a 5x5 one and a 4x5 rectangle.
get their area, sum them up, and that's the lateral, sides, area of the triangular prism.
(3 · 5) + (5 · 5) + (4 · 5)
Answer: 1696.46
Step-by-step explanation:
6 x 6 x 3.14 = 113.1
24 x 24 x 3.14 = 1809.56
113.1 - 1809.56
thus we have 1696.46
sorry had to edit some things instead of one 6 its 6 x 6 and same with 24
Answer:
Draw a picture and you'll see a right triangle with sides = 7 and 24 and hypotenuse = r (the cricle's radius). By the Pythagorean Theorem:
r2 = 72 + 242
Area = pi·r2
Step-by-step explanation:
Answer:96
Step-by-step explanation: