Answer:
a) 27. b) 8/3
This is your answer ☺️☺️☺️
Answer:
3 : 7 =>
Anna = $180
Raman = $420
1 : 4 =>
Anna = $120
Raman = $480
Step-by-step explanation:
<u>Shares when ratio is 3 : 7</u>
Anna : Raman = 3 : 7
Sum of ratio 10
Anna's share=
Raman 's share=
<u>Shares when ratio is 1 : 4</u>
Anna : Raman = 1 : 4
Sum of ratio = 5
Anna 's share =
Raman's share =
Answer:
x = -3/4, 1
Step-by-step explanation:
Factor left side of the equation.
(4x + 3)(x - 1) = 0
Set factors equal to 0.
4x + 3 = 0
4x = -3
x = -3/4
x - 1 = 0
x = 1
Okay, to answer this question,
<span>Perpendicular lines have slopes that are inverse of one another and with opposite signs so,
If a line has a slope of m= -2 than a perpendicular line will have slope m=1/2
If a line has a slope of m= -3/4 than a perpendicular line will have slope m=4/3
If a line has a slope of m= 6 than a perpendicular line will have slope m=-1/6
So, just find the slope of your line, using it, get the slope of the line that will be perpendicular and then just get the equation for a line that has that slope and passes through point (-2,3) using:
y - y1 = m(x - x1)
I hope I helped you with my answer</span>
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
