Answer:
6
Step-by-step explanation:
Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).
Answer:
B1: x = 51
C1: x = 73, y = 34
Step-by-step explanation:
B1:
By exterior angle theorem:
x° + 54° = 105°
x° = 105° - 54°
x° = 51°
x = 51
C1
x° = 73°(Alternate angles)
x = 73
y° = 34° (corresponding angles)
y = 34
Answer:
8190 ways
Step-by-step explanation:
Given
Selection
Required
Number of ways of selection
4 students can be selected from 15 students in:
Similarly.
5 teachers can be selected from 6 teachers in:
So, the required number of selection is:
Apply combination formula:
Represent even numbers as "2n" since each is a multiple of 2.
Represent odd numbers as "2n+1" since each is one more than an even.
-----------------
Your problem:
smaller # : 2n
larger #: 2n+2
-------------------
EQUATION:
2n+2 + 3(2n) = 234
8n = 232
n = 29
---------
smaller = 2*29 = 58
larger = 2n+2 = 60
√75 = √(5²×3) = √5² √3 = 5√3 = 8.66
√48 = √(4²×3) = √4² √3 = 4√3 = 6.93
√12 = √(2²×3) = √2² √3 = 2√3 = 3.46
√125 = √(5²×3) = √5² √3 = 5√3 = 11.18
√28 = √(2²×7) = √2² √7 = 2√7 = 5.29
