Answer:
they have the same value (0)
Step-by-step explanation:
Cosine is an even function, meaning that cos(x) = cos(-x). When x=90°, we have ...
cos(90°) = cos(-90°)
Both values happen to be zero.
Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
Answer:
The system will be inconsistent.
Step-by-step explanation:
We are given that a system of linear equations has a 3×5 augmented matrix whose fifth column is a pivot column.
Then such a system is not consistent because since the augmented matrix has a pivot in fifth column it means that the new column added to the matrix A will lead to increase in the rank as that of matrix A.
Hence the rank of A and Augment A will not remain same and hence the system will be inconsistent.
Answer:
8x15x12=1440
Step-by-step explanation:
Answer:
(a+2)(b+2) = 4
Step-by-step explanation:
We are given the following quadratic equation:
Let a a and b be the solution of the given quadratic equation.
Solving the equation:
We have to find the value of (a+2)(b+2).
Putting the values:
