It’s 25 because perimeter means count all sides
3. 2
2x. + 2x + 1
/ x2 Im sorry if its wrong!
Answer:
see explanation
Step-by-step explanation:
there is a difference of - 9 between the 3rd and 4th terms. indicating the sequence could be arithmetic , then
a₂ - a₁ = a₃ - a₂ , that is
k - 17 = - 1 - k ( add k to both sides )
2k - 17 = - 1 ( add 17 to both sides )
2k = 16 ( divide both sides by 2 )
k = 8
The sequence is 17, 8, - 1, - 10
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 17 and d = - 9 , then
= 17 - 9(n - 1) = 17 - 9n + 9 = 26 - 9n
Answer:
Properties of a Rectangular Prism : A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.
Step-by-step explanation:
If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV. We need to focus on Q IV due to the restrictions on theta.
Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis. Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2
The secant of theta is the reciprocal of that, and thus is
2 sqrt(2)
---------- * ------------ = sqrt(2) (answer)
sqrt(2) sqrt(2)
