The volume of a triangular prism is 90 cubic units, If a triangular prism with a height of 10, length of 6 and width of 3.
Step-by-step explanation:
The given is,
Let, h - Height of the triangular prism
l - Length of the triangular prism
w - Width of the triangular prism
Step:1
Assume, Unit for height, length and width.
From given, ( consider unit)
h - 10 units
l - 6 units
w - 3 units
Step:2
Formula for volume of triangular prism is,
Substitute the values of w,h and l
= () × 3 × 10 × 6
= 90
V = 90 cubic units
Result:
The volume of a triangular prism is 90 cubic units, for the given triangular prism with a height of 10, length of 6 and width of 3.
Answer:
Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2
Answer:
0.0656
Step-by-step explanation:
For each message, we have these following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four all spam, each with a 90% probability.
The fifth legitimate, with a 10% probability.