Answer:
2/7
Step-by-step explanation:
There are 22 (12 + 10) total students in the class. That means that the chance of the first student picked being a girl is 12/22.
Now, we must calculate the chance of the next student to be picked <em>also </em>being a girl - however, there is a trap here! Remember that since a girl has been picked, the total student pool has decreased to 21 and and the total number of girls has decreased to 11. This means the new chance of girl being picked is 11/21.
To find the probability of both these events happening in conjunction, these fractions must be multiplied. 12/22 * 11/21 = 132/462, which simplifies to 2/7.
Answer: If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.
Step-by-step explanation:
Answer:
I believe Commercial Mathematics is the kind of mathematics for the bussiness world. Where you calculate: There are 12 productions and three companies. Two companies already took 8 productions. How many productions will the last company take? Stuff like that.
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 48)° = 180° - 138° = 42°
----------------------------------------------------------
tan48° =
= 
Multiply both sides by a
a × tan48° = 18 ( divide both sides by tan48° )
a =
≈ 16.2 ( to the nearest tenth )
-----------------------------------------------------------
sin48° =
= 
Multiply both sides by c
c × sin48° = 18 ( divide both sides by sin48° )
c =
≈ 24.2 ( to the nearest tenth )