Answer:
θ = 5π/6 rad and 11π/6 rad
Step-by-step explanation:
Given the expression cotθ+√3=0
Subtract √3 from both sides
cotθ+√3-√3=0-√3
cotθ = -√3
Since cotθ = 1/tanθ
1/tanθ = -√3
Reciprocate both sides:
tanθ = -1/√3
θ = tan^-1(-1/√3)
θ = -30°
Since the angle is negative, and tanθ is negative in the second and fourth quadrant.
In the second quadrant;
θ = 180-30
θ = 150°
Since 180° = πrad
150° = 150π/180
150° = 5π/6 rad
In the fourth quadrant;
θ = 360-30
θ = 330°
Since 180° = πrad
330° = 330π/180
330° = 11π/6 rad
Hence the solutions are 5π/6 rad and 11π/6 rad.
Answer:
Step-by-step explanation:
we know that
The scale is 
That means
2.4 cm in the model represent 1 foot in the real
In this problem
The restaurant is 20 feet tall
Find the height of the model
Multiply the actual height of the restaurant by the scale 2.4
A bottle cap is 1.2 cm tall
To find out the number of bottle caps divide the height of the model by 1.2
Answer:
x = 
Step-by-step explanation:
Given
9 - 3x = 7 ( subtract 9 from both sides )
- 3x = - 2 (divide both sides by - 3 )
x = 
=
Answer:
5
Step-by-step explanation:
10 / 2 = 5
5 times smaller also means 1/5 as big.
Answer:
8
Step-by-step explanation:
J'espère que cela t'aides! si c'est le cas, puis-je avoir un brainliest ?
