Answer:
see explanation
Step-by-step explanation:
Using the ratio equality for circles
= 
(a)
Note the angle at the centre of the shaded arc is 360° - 90° = 270°, thus
= 
= 
( cross- multiply )
3C = 180 ( divide both sides by 3 )
C = 60 mm
(b)
Note the angle at the centre of the shaded arc is 360° - 135° = 225°, thus
= 
( cross- multiply )
225C = 1188 ( divide both sides by 225 )
C = 5.28 cm
Answer:
19.0681
Step-by-step explanation:
Given in the question that,
angle from ted to the dog = 60° with the ground
height of ted from the ground = 16ft
To find,
distance between dog and the door of ted's building
Considering the scenario make a right angle triangle:
<h3>By using pythagorus theorem:</h3>
Tan 40 = opposite / adjacent
Tan 40 = height / distance between dog and the door
Tan 40 = 16ft / x
x = 16 / tan40
x = 19.068057
x ≈ 19.0681 (nearest to thousand)
So, the dog need to walk 19.0681ft to reach the open door directly below Ted.
N/d = 2/3 -------------------> 3n = 2d
(n + 2)/(d + 2) = 3/4 ------> 4n + 8 = 3d + 6
The answer is No, they are not proportional. This is because 8/42 is not equal to 20/105.
Answer:
Both 
and 
are solutions to the system.
Step-by-step explanation:
In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.
Step 1: Plug into 
The solution verifies the equation.
Step 2: Plug into 
The solution verifies both equations. Therefore, is a solution to this system.
Now we must check if the second point is also valid.
Step 3: Plug into
Step 4: Plug into
The solution verifies both equations. Therefore, is another solution to this system.
