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
Answer:
A) 4x+3y=14
B) 3x-2y=2
We multiply equation A) by (2/3)
A) (8/3) x +2y = 28/3 then we add this to equation B)
B) 3x-2y=2
5 (2/3) x = 11 (1/3)
x = 2
A) 4 * 2 + 3 y = 14
A) 3y = 6
y = 2
Step-by-step explanation:
Answer:
The question is not complete but from the flow of thought, the question seems to be about what your choice will be between option 1 and option 2.
The correct answer is
option 2
Step-by-step explanation:
The question is asking you to choose an option that pays more after 30 days. In other to determine the more beneficial option, we will compare both options and select the one that pays more. This is done as follows:
option 1: $60,000 per day, after 30 days =
60,000 × 30 = $1,800,000
option 2 = $5,368,709.12 after 30 days
From the total amounts after 30 days of the two options listed above, option 2 is higher than option 1 by $3,568,709. Therefore, option 2 is a better choice.
Answer:
Step-by-step explanation:
no
Answer:
The two ratios are equivalent.
Step-by-step explanation:
Reduce both fractions:
6/21 = 2/7 [Take out 3 from both sides]
8/28 = 2/7 [Take out 4 from both sides]
2/7 = 2/7
