The formula for the volume of a right triangular pyramid is V = 1/6 bhx, where b is the base of the triangle, h is the height of
the triangle, and x is the height of the pyramid. Solve for X.
1 answer:
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9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.
Answer:
The correct options are a,b,e and f.
Step-by-step explanation:
It is given that the nth terms of the series is defined as
Subtract 17 from both the sides.
Divide both sides by 3.
The term Tₙ is a term of given series if n is a positive integer.
(a) The given term is 80.
Since n is a positive integer, therefore 80 is a term of given series.
(b) The given term is 170.
Since n is a positive integer, therefore 170 is a term of given series.
(c) The given term is 217.
Since n is not a positive integer, therefore 217 is a term of given series.
(d) The given term is 312.
Since n is not a positive integer, therefore 312 is a term of given series.
(e) The given term is 278.
Since n is a positive integer, therefore 278 is a term of given series.
(f) The given term is 3566.
Since n is a positive integer, therefore 3566 is a term of given series.
Thus, the correct options are a, b, e and f.