Question:
A = {2, 3, 4, 5}
B = {4, 5, 6, 7, 8}
Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9?
A. 0.15
B. 0.20
C. 0.25
D. 0.30
E. 0.33
Answer:
Option B: 0.20 is the probability of the sum of the two integers.
Explanation:
The sample space for selecting 2 numbers is given by

We need to determine the probability that the sum of two integers will be equal to 9.
Hence, we need to add the two integers from the sets A and B such that their sum will be equal to 9.
Hence, the sets are 
Thus, the total number of sets whose sum is equal to 9 = 4
The probability that the sum of the two integers will equal 9 is given by



Thus, the probability that the sum of the two integers will equal 9 is 0.20
Hence, Option B is the correct answer.
All you need is use sin cos tan for doing this
sin (angle)= O/H
cos (angle)= A/H
tan (angle)= O/A
Answer:
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Step-by-step explanation:
Answer:

Step-by-step explanation:
In the question, we're given
. Therefore, the measure of these two angles must be equal.
To find the value of
, set these two angles equal to each other:

Add 26 and subtract
from both sides:

Divide both sides by 3:

Since
was labelled as
, substitute
to find its measure:

You can also substitute
into the label of angle D as angle A is congruent to angle D for easier calculations (
).