To get the congruent angles we shall use the sine rule since we have the length of at least 1 side and the values of the angles.
Base length=12 inches
Base angles=50°
Third angle=180-(100)=80°
thus applying the sine rule we shall have:
a/sin A=b/sin B=c/sin C
thus we can get the congruent side as follows:
a/sin 50= 12/sin 80
a=(12 sin 50)/sin 80
a=9.334 inches
since the sides are congruent then the other congruent side will have a length of 9.334 inches
Answer:
The surface area of Triangular base Prism = 3682 cm²
Step-by-step explanation:
Given in question as :
For a Triangular base prism ,
The base of prism (b) = 24 cm
The height of prism (l) = 29 cm
Each side length (s) = 37 cm
The height of base triangle ( h ) = 35 cm
Hence , we know that The surface area of Triangular base prism is
= (b×h) + (2×l×s) + (l×b)
= (24×35) + (2×29×37) + (29×24)
= (840) + (2146) + (696)
= 3682 cm²
Hence The surface area of Triangular base Prism is 3682 cm² Answer
If 3 is the bold number then the answer is D. <span>#TeamAlvaxic</span>
Answer:
-5
Step-by-step explanation:
12-5=7
Answer:
the probability that a real emergency situation exists is 0.16 (16%)
Step-by-step explanation:
defining the event A= the alarm sounds ,we have
P(A)= probability that an emergency situation exists * probability that the alarm sounds given that an emergency situation exists + probability that a emergency situation does not exist * probability that the alarm sounds given that an emergency situation does not exist = 0.004* 0.95+ 0.996 * 0.02 = 0.02372
then if we use the theorem of Bayes for conditional probability and define the event E= a emergency situation exists , then
P(E/A)= P(E∩A)/P(A)= 0.004* 0.95/0.02372 =0.16 (16%)
where
P(E∩A)= probability that an emergency situation exists and the alarm sounds
P(E/A) = probability that an emergency situation exists given that the alarm has sounded
