Complementary angles are the angles whose sum makes 90 degrees. According to the question, the other angle is 14.2 degrees more than the complementary angle. Therefore, 14.2° will be added to the other angle.
7+x^3. It cannot be simplified further without knowing the value of x
The polynomial
may have solutions which are the divisors of -20, therefore -20 has the following divisors:
.
If x=1, then
,
if x=-1, then
,
if x=2, then
, then x=2 is a solution and you have the first factor (x-2).
If x=-2, then
, then x=-2 is a solution, so you have the second factor (x+2).
Since x-2 and x+2 are two factors of
, then the polynomial
is a divisor of
and dividing the polynomial
by
you obtain
.
See the picture, please!!
Answer:
1.778 times more or 16/9 times more
Step-by-step explanation:
Given:
- Mirror 1: D_1 = 8''
- Mirror 2: D_2 = 6"
Find:
Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?
Solution:
- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:
LGP ∝ A
- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:
A ∝ D^2
- Hence, LGP ∝ D^2
- Now compare the two diameters given:
LGP_1 ∝ (D_1)^2
LGP ∝ (D_2)^2
- Take a ratio of both:
LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2
- Plug in the values:
LGP_1/LGP_2 ∝ (8)^2 / (6)^2
- Compute: LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more
