Answer:
Q1. y = 5 Q2. (√2 - √3)/2
Step-by-step explanation:
Q1
√12 - √147 + y√3 = 0
Taking -√147 and √12 to the right hand side, we have
y√3 = √147 - √12
y√3 = √(3 × 49) - √(3 × 4)
y√3 = √3 × √49 - √3 × √4
y√3 = √3 × 7 - √3 × 2
y√3 = 7√3 - 2√3
y√3 = 5√3
Dividing both sides by √3, we have
y√3/√3 = 5√3/√3
y = 5
Q2
Sin45° - Cos30°
Since Sin45° = √2/2 and Cos 30° = √3/2
Substituting these values into the equation, we have
Sin45° - Cos30° = √2/2 - √3/2
Taking L.C.M of both factors, we have
Sin45° - Cos30° = (√2 - √3)/2
<u>The correct answer is </u><u>all of the above.</u>
Why is the range the most convenient measure of variability?
- Your data's spread from the lowest to the greatest value in the distribution is indicated by the range.
- The calculation of this variability index is the simplest.
- Simply subtract the lowest value from the highest value in the data set to determine the range.
How do you find the range?
- The difference between the lowest and highest values in a list or set is known as the range.
- Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest.
- The range of the list is provided in the response.
Learn more about range
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The area of the pentagon is 140
Answer:
B and E
Step-by-step explanation:
B = - 6, D = - 2, E = 2
d(B, D) = - 2-(-6)= - 2 + 6 = 4 units
d(D, E) 2 - (-2) = 2 + 2 = 4
Since, d( B, D) = d( D, E)
Therefore, Point D is 1/2 of the distance between B and E.
I am not really sure about this answer, but it is 4308.08in
Hope this helps!