Which ratio represents the cotangent of angle B in the right triangle below?
1 answer:
Answer:
C. 3/4
Step-by-step explanation:
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
From the diagram
Opposite = x
Adjacent = 12
tan <B = x/12
Since cot <B = 1/tan <B
cot <B = 12/x
Get x using pythagoras theorem
x² = 20²-12²
x² = 400 -144
x² = 256
x = 16
Hence cot <B = 12/16
cot <B =3/4
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C. 52
Work:
(5x - 22) + (4x + 4) = 90
9x - 18 = 90
9x = 108
x = 12
4(12) + 4 =
48 + 4 = 52
The answer is: J. Triangular prism
Answer:
8x^2-44x-24
Step-by-step explanation:
(2x + 12)(4x-2)
=>8x^2+48x-4x-24
=>8x^2-44x-24
In a parallelogram, opposite sides are congruent. 2u = u + 19 Subtract u from both sides. u = 19 Answer: u = 19
Answer:
15 cm
Step-by-step explanation:
When the rectangular sheet rolled along its length, the breadth becomes the height of the cylinder, and the length becomes the circle, so the height is 15 cm