Answer:
B) \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Step-by-step explanation:
Step 1: First we have to get rid off the roots in the denominator.
To do that, we have to multiply the numerator and the denominator by the conjugate of √5 + √3.
The conjugate of √5 + √3 is √5 - √3.
Now multiply given expression with √5 - √3
(√6 + √11) (√5 - √3)
------------- x -----------
(√5 + √3) (√5 - √3)
Step 2: Multiply the numerators and the denominators.
√6√5 - √6√3 +√11√5 -√11√3
------------------------------------------
(√5)^2 - (√3)^2
Now let's simplify to get the answer.
√30-√18 +√55 - √33
-----------------------------
5 - 3
= √30 -3√2 +√55 [√18 = √9√2 = 3√2]
--------------------------
2
The answer is \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Thank you.
The pentagon does not belong because it has 5 sides while the other 3 shapes have only 4 sides.
Answer:
WX = 7.9
Step-by-step explanation:
By applying tangent rule (law of tan) in the given right triangle WXY.
tan(W) = 
tan(27)° = 
0.509525 = 
WX = 
WX = 7.85
WX ≈ 7.9
Therefore, length of side WX is 7.9 units.
Answer:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side. If you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. If that is not true, then it is not possible to construct a triangle with the given side lengths.
Step-by-step explanation:
Answer:
1 11/38
Step-by-step explanation:
7 divided by 5 3/7 and you get 49/38 simplify by divided the the top by the bottom and you should get 1 11/38
