Answer:
5
Step-by-step explanation:
The area of a rectangle is given by base x height = 1 x 5 = 5
Parallel: the lines have = slopes. We thus need 5/6 to equal 2/p. then 5p must equal 12, and p = 12/5. (answer)
Check: Is 5/6 = 2 / (12/5)? YES
Perp.: The lines have slopes that are negative reciprocals of one another.
Then -6/5 = 2/p, or
-6 2
---- = ----
5 p Thus, -6p = 10, and p = -5/3 (answer)
Answer:
X= 10
Step-by-step explanation:
let the vertex of angle 17° named A
then the other two B and C
then by using trigonometry:
sin(A) = opposite side divided by hypotenuse
opposite side is. X
Wich makes Sin(A) = X/47
then by crossing X= sin(A) × 47 = 13.74147
rounding to the nearest tenth: X= 10
F(1) = (1)^3 + 2(1)^2 - 5(1) - 6 = 1 + 2 - 5 - 6 = -8; x = 1 is not a solution to the polynomial.
f(-1) = (-1)^3 + 2(-1)^2 - 5(-1) - 6 = -1 + 2 + 5 - 6 = 0; x = -1 is a solution to polynomial.
From the options, a or c has x = -1, both has x = , so lets check for x = 3
f(3) = (3)^3 + 2(3)^2 - 5(3) - 6 = 27 + 18 - 15 - 6 = 24; x = 3 is not a solution to the polynomial.
Therefore the solutions to the polynomial are x = -3, x = -1, x = 2
Answer:
The interior angle of a 35-gon would be
169.71
o
Explanation:
The equation of the interior angle of an polygon is
(
n
−
2
)
180
n
= interior angle, where n is the number of sides.
A 35-gon has 35 sides.
(
35
−
2
)
180
35
(
33
)
180
35
5
,
940
35
169.71
The interior angle of a 35-gon would be
169.71
o
