S=6
Solution
6/2=3
(6*4)=24
24-21=3
Answer:
$495
Step-by-step explanation:
Take baseline amount of 75 dollars and divide it by 4. This will get you to the answer 11.25. Use 11.25 and multiply it by what she received in rewards. 11.25 times 44 equals....495!
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
Factor x^4-y^4: (x²+y²)(x²-y²)
further factor: (x²+y²)(x+y)(x-y)
so the dimensions are (x²+y²)(length), (x+y) (width), and (x-y) (height)
Answer:
3 hours
Step-by-step explanation:
speed of Bharat = 12kilometers / hour
speed of Ingrid=14 kilometers / hour
For this problem we'll be using formula relating time, distance and speed.i.e
Distance = speed x time
Suppose Bharat is riding at a distance of 'b' kilometers, therefore time taken by him will be:
Time = distance/ speed
Time= b/12 hours.
Also, Ingrid can ride the distance at this time with speed of 14km/hr
The distance would be,
Distance = speed x time
Distance = 14 x (b/12) => 14b/12
Distance= 7b/6
Let '
' be the distance that Bharat have covered after time 't'
therefore, = 12 x t
Let '
' be the distance that Ingrid have covered after time 't'
therefore, = 14 x t
In order to find the time when they are 78 kilometers apart, we will add and , because they are travelling in opposite direction creating distance between them.
So,
+ = 78
( 14 x t) + (12 x t) =78
14t + 12t =78
26t= 78
t= 78/26
t= 3hours.
thus, it will take 3 hours until they are 78 kilometers apart
