Answer:
x = ⅓ acos(y/7) + π/18, [-7, 7/2]
Step-by-step explanation:
y = 7 cos(3x − π/6)
Solving for x:
y/7 = cos(3x − π/6)
acos(y/7) = 3x − π/6
acos(y/7) + π/6 = 3x
x = ⅓ acos(y/7) + π/18
The domain of x is the same as the range of y.
When x = π/6:
y = 7 cos(3π/6 − π/6)
y = 7 cos(π/3)
y = 7/2
When x = 7π/18:
y = 7 cos(21π/18 − π/6)
y = 7 cos(π)
y = -7
So the domain of x as a function of y is [-7, 7/2].
<u>Answer:</u>
0.8 meters
<u>Step-by-step explanation:</u>
We know that One Shell Square is the tallest building in New Orleans with a height of about 212 meters and Marlie is creating a scale model of this building, using the scale 250 meters : 1 meter.
So to find the height of the scale model, we can simply use the ratio method.

= 
Therefore, the height of the scale model to the nearest tenth of a meter will be 0.8 meters.
Answer:
1)b
2)d)80/360×36π≈25.12cm²
4)d)32.5
5)c)135°
6)d)4π/3
Step-by-step explanation:
1) because as we know
Circle equation
=(x-a)²+(y-b)²=r²
=(x-5)²+(y+1)²=36 (given)
=(x-(+5))²+(y-(-1))²=6²
So
C(5,-1)and r=6
2)as we know area of sector
=Theta/360×πr²
=80/360×6²π
80/360×36×3.14
80/10×3.14
=25.12
4)to figure out 4 we have to separate the shape into 2 parts
First semi-circul
Second rectangle
So the parameter of the shape
=Circumference of semi-circul + the parameter of the rectangle
=[10π×½+2(10+3.4)]-10 (as the dashed line is not a part of parameter)
=[15.7+26.8]-10
=32.5
5)3π/4
3×180/4
540/4
135
6)240°
240°×π/180°
4π/3
Answer:
The answer is not a function
Step-by-step explanation:
I think at least
Answer:
<em>x = -11</em>
Step-by-step explanation:
<u>Equations</u>
The image shows a right triangle with angles 70°, 90°, and x+31.
The sum of the internal angles of a triangle is 180°, thus:
70 + 90 + x + 31 = 180
Simplifying:
191 + x = 180
Subtracting 191:
x = 180 - 191
x = -11