Answer:
The third side must be smaller than 20 inches and greater than 4 inches
Step-by-step explanation:
Let a, b and c be the lengths of triangle's sides. Then
Use this rule in your case. So, if a=12 and b=8, then
Hence, you get
From these inequalities, you can state that
So, c must be smaller than 20 inches and greater than 4 inches.
Answer:
Step-by-step explanation:
Girls:Boys = 3 : 2
Total students = 25
Girls = (3/5) * 25 = 15
Boys = (2/5) * 25 = 10
First one (ignore22222323333333)
Integers are like -4,-3,-2,-1,0,1,2,3,4 etc
√49=7, integer
-3⁰=-(3⁰)=-(1)=-1, integer
1.2 times 10⁻²=1.2/100=0.012, not an integer
18/3=6, integer
answer is 3rd one
Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
