diagonal for rectangle= sqrt( A^2 +b^2)
diagonal for square = sqrt(2) * Side
rectangle diagonal = sqrt (14^2+7^2) = 15.65 inches
square diagonal = sqrt(2) * 7 = 9.90 inches
9.9 *2 = 19.8
the diagonal of the rectangle is not two times the length of the square
integral of e^x (sinx +cosx)= e^x sin x + c
Answer:
Option D
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. This means that the angle B is formed by the intersection of the lines a and c. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that c=71, B=123°, and a=65. Plugging in the values:
b^2 = 65^2 + 71^2 - 2(65)(71)*cos(123°).
Simplifying gives:
b^2 = 14293.0182932.
Taking square root on the both sides gives b = 119.6 (rounded to the one decimal place).
This means that the Option D is the correct choice!!!
Answer:
Group A and Group B scored same after three rounds.
Yes, integers can be added in any order.
Step-by-step explanation:
We are given the following in the question:
Group A scores:
-35 ,8,0
Group B scores:
8,0,-35
Total score of group A =
Total score on group B =
Thus, both the group scored same score.
Yes, integers can be added up on any order, they have the same result. This is known as the associative property of addition.
The addition is not effected by the order of the addend. They can be added in any order.