Answer:A on edge
Step-by-step explanation:
The population of the town in 36 years would be 8000.
<h3>What would be the population of the town in 36 years?</h3>
The formula that can be used to determine the town's population is:
FV = P (1 + r)^n
Where:
- FV = Future value
- P = Present value
- R = rate of growth = 100%
- N = number of years = 36/9 = 4
500 x 2^4 = 8000
To learn more about future value, please check: brainly.com/question/18760477
Answer:
A) Length = 110.4 mm and width = 62.1 mm
B) A = 6855.84 mm²
C) length = 114.7 mm
width = 55.8 mm
Area = 6400.26 mm²
D) Screen with aspect ratio of 16:9 is bigger
Step-by-step explanation:
A) We are told that the aspect ratio of the phone screen = 16:9. This means that the ratio of the length to the width of the screen is 16:9.
To find the side length, we will say that;
length = 16x
width = 9x
Thus, since the edges are perpendicular, then we can use pythagoras theorem since we know that the diagonal is 127 mm
Thus;
(16x)² + (9x²)] = 127²
256x² + 81x² = 16129
337x² = 16129
x² = 16129/337
x = √(16129/337)
x = 6.9
Thus;
length = 16x = 16 × 6.9 = 110.4 mm
width = 9x = 9 × 6.9 = 62.1 mm
Length = 110.4 mm and width = 62.1 mm
B) area of screen is;
A = length × width
A = 110.4 × 62.1
A = 6855.84 mm²
C) We are told that the aspect ratio is now 18.5:9.
Thus;
length = 18.5x
width = 9x
Thus;
(18.5x)² + (9x²)] = 127²
342.25x² + 81x² = 16129
423.25x² = 16129
x² = 16129/423.25
x = √(16129/423.25)
x = 6.2
length = 18.5x = 18.5 × 6.2 = 114.7 mm
width = 9x = 9 × 6.2 = 55.8 mm
Area = 114.7 × 55.8 = 6400.26 mm²
D) Screen with aspect ratio of 16:9 is bigger
Answer:
The solution to the system that is created by the equation y = 2x + 10 is
( -8 , -6 )
Step-by-step explanation:
Given:
y = 2x + 10
Justification:
For a Point to be a solution of the system of the equation of a line then it must satisfy the equation by substituting the X coordinate and Y coordinate.
Left hand side = Right-hand side
For point (–8, –6)
Put x = -8 and y = -6 in the given equation then
Left hand side = y
= -6
Right-hand side = 2× -8 + 10
= -16 + 10
= -4
∴ Left hand side = Right-hand side
∴ Point (–8, –6) is the Solution for y = 2x + 10
For points (–4, –2), (0, 2), and (2, 4)
Left hand side ≠ Right-hand side
∴ Points (–4, –2), (0, 2), and (2, 4) are not a Solution.
The formula for volume is
V = Lenght x Width X Height
In your diagram, we have all 3 of these.
Length = 25 cm
Width = 12 cm
Height = 14 cm
To make it easier let's just convert all these to meters.
Length = 0.25 m
Width = 0.12 m
Height = 0.14 m
V = (0.25)(0.12)(0.14)
V = 0.0042 cubic meters
