Answer:
The answer is 0.60b + 0.30w = 150; 60 + 0.30w = 150
Step-by-step explanation:
Wei can purchase 300 balloons.
The model used for the problem is .
Step-by-step explanation:
Let the number of white balloons = x
The cost of blue balloons and white balloons are 60 cent = $0.6 and 30 cents = $0.3 respectively.
Wei purchased 100 blue balloons and have $150 to buy both balloons
Step-by-step explanation:
3cos2x +sinx=1
3(1-2sin²x)+sinx=1
3-6sin²x+sinx=1
sinx(-6sinx+1)=1
either
sinx=1
sinx=sin(90)
:.x=90
or
-6sinx+1=1
-6sinx=1-1
sinx=0/-6
sinx=sin0,sin180
:.x=0,180and90
The answer is: The first triangle. The reasons are shown below:
1. All the triangles are rigth triangles, because they have an angle of 90°. So, let's calculate the others angles of the first one:
Tan(α)^-1= opposite leg/adjacent leg
Opposite leg=5
Adjacent leg=5√3
Tan(α)^-1= 5/5√3
Tan(α)^-1=30°
2. Let's calculate the other angle:
Tan(α)^-1= opposite leg/adjacent leg
Now, the opposite leg will be 5√3 and the adjacent leg will be 5. Then:
Tan(α)^-1= 5√3/5
Tan(α)^-1=60°
As you can see, the angles of first triangle are: 30°,60° and 90°.
30 is the value of x given of above quertion