Answer:
y = (6/11)x + 13/11
Step-by-step explanation:
y = mx + c
m = (-1-5)/(-4-7) = -6/-11 = 6/11
y = (6/11)x + c
When x = 7, y = 5
5 = (6/11)(7) + c
5 = 42/11 + c
c = 5 - 42/11
c = 13/11
y = (6/11)x + 13/11
11y = 6x + 13
Answer:
8
Step-by-step explanation:
8y-8=24
+8 +8
8y=32
32/8 = 4
y=4
4*2=8
Answer:
32.0 cm
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
r = cube root (Volume * 3/2 * 1/π )
r = cube root ( 8514 * 3/2 * 1/π)
r = 15.96
in the nearest tenth r = 16.0 cm
D= 2r
D= 2(16)
D= 32cm
Answer:
Y = 90
X = 52
Step-by-step explanation:
Y is on a straight line. The sum of the angles on a straight line is 180.
The only other angle (that is marked) on this straight line, is a 90 degree one. So, <y + 90 = 180.
<y = 90.
Now <x + 38 = 90
so, x = 52
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
