Answer:
nope
Step-by-step explanation:
If it's already a negative number it's going to stay as a negative number
Answer:
θ = 83°
Step-by-step explanation:
For acute angles, the sine of an angle is the cosine of its complement, and vice versa.
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sin(θ) = cos(90° -θ) . . . . relation between sine and cosine
sin(θ) = cos(7°) . . . . . . . . given
90° -θ = 7° . . . . . . . . . matching arguments of cos( )
θ = 83° . . . . . . . . . add θ -7° to both sides
The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
brainly.com/question/3457976
The Solution:
From the graph, there is a point of intersection between the graphs of the two equations in the system. This implies that:
There is a viable solution to the given system of equations at the point where the two lines intersect, that is, at the point (26,34).
So, the correct answer is [option 3]
