Step-by-step explanation:
the volume of a regular prism is simply
base area × height
in our case we have a triangular prism, which means the base area (as well as the top area) is a triangle.
the base is defined as a 45° - 45° - 90° triangle.
so, since we have a 90° angle, this is a right-angled triangle.
the other 2 angles are equal to each other, so, it is an isoceles triangle (both legs are equally long).
since one leg is 8 in long, this means the other leg is 8 in too.
the area of a triangle is
baseline × height / 2
in case of a right-angled triangle (the legs enclose the 90° angle) one leg can be considered as the baseline, and the other leg as the height.
and the area is
leg1 × leg2 / 2
and in case of an isoceles right-angled triangle this is
leg² / 2
in our case
8² / 2 = 64/2 = 32 in²
now, the volume of the prism here is then
32 × 3.5 = 112 in³
The answer is 22 a means increase value of a immediately what is the value of a it is 10,no it will change it value by 1 if it use again so from above line it’s value is 11 and than increase value of a immediately its value is 12 so value of B=22
3, divide by four then subtract six to get three
Answer:
the answer is p
Step-by-step explanation:
Answer: 35 / 66
Step-by-step explanation:
Given the data bekow:
Outcome : - - - 1 - - - 2 - - - 3 - - - 4 - - - 5 - - - 6
Frequency : - 12 - - - 9 - - - 11 - - 8 - - - 12 - - - 14
What is the experimental probability of spinning an odd
P(spinning an odd) = (number of occurrence of an event / number of trials)
Odd outcomes = 1, 3, 5
Frequency of 1 = 12
Frequency of 3 = 11
Frequency of 5 = 12
Number of occurrences of odd = (12 + 11 + 12) = 35
Number of trials = 66
Therefore,
P(spinning an odd) = 35 / 66