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Paraphin [41]
3 years ago
10

I need an answer for the empty spaces

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

4, +, 6

Step-by-step explanation:

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Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering p
tankabanditka [31]

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

6 0
3 years ago
A muffin recipe calls for 3 cups of flour for 24 muffins. If you want to make 108
vladimir2022 [97]

Answer:

13.5

Step-by-step explanation:

3 cups for 24 muffins

x cups for 108 muffins

x=(108*3)/24

x=13.5

8 0
3 years ago
What are the x-intercepts of the graph of the function f(x)=x2+ 4x-12
grin007 [14]

x^2 + 4x-12 =0

factor

(x+6) (x-2)=0

x+6=0  x-2=0

x=-6  x=2

are the x intercepts

Answer -6, 2

7 0
3 years ago
Read 2 more answers
Select the correct answer.
likoan [24]

Answer:

x = 20

Step-by-step explanation:

Traingle ABC = Traingle DEC

4x-1×4×5 = x+2×4×5

80x-1 = 2×20x

80x-20x = 2+1

60x = 3

60÷3 = x

x = 20

6 0
3 years ago
A right square pyramid has a slant height of 25 feet, and the length of a side
Amanda [17]

Answer:

C. 24 ft.

Step-by-step explanation:

There is a right triangle which can be drawn in side the pyramid with height h, hypotenuse  25 ft and bas = 1/2 * 14 = 7.

So using Pythagoras:

25^2 = h^2 + 7^2

h^2 = 25^2 - 7^2

h^2 = 576

h = √576 = 24 ft.

8 0
3 years ago
Read 2 more answers
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