Answer:
The SAS rule states that two triangles are similar if the ratio of their corresponding two sides is equal and also, the angle formed by the two sides is equal. Side-Side-Side (SSS) rule: Two triangles are similar if all the corresponding three sides of the given triangles are in the same proportion.
Step-by-step explanation:
Solution:
X^2+11x+30
=X^2+(6+5)x+30
=X^2+6x+5x+30
=X(x+6)+5(x+6)
=(X+6)(x+5).
So,the answer is (x+6)(x+5).
Answer:
Solution given:
radius [r]=4
height [h]=5
we have
Surface area of cylinder=2πr(r+h)
=2π×4(4+5)
=<u>72πunits³ is a required volume.</u>
Answer:
The variance of the given data is 106.9667
Step-by-step explanation:
The variance, S² of a sample is given by the expression;
Where:
= One of the observations
= The mean of the observations
n = Number in the sample = 6
The mean = Σ/n = (26 + 32 + 29 + 16 + 45 + 19
)/6 = 167/6 = 27.833
Therefore, we have;
S² = ((26 - 27.833)²+(32 - 27.833)²+(29 - 27.833)²+(16 - 27.833)²+(45 - 27.833)²+(19 - 27.833)²)/(6 - 1) = 106.9667.
