Figures of same shape and size are similar .Two circles C1&C2 will be similar.
Circle 1 has a center of (-4,5) and circle 2 has a center of (2,1) .The x of the center is having the translation x+6 and the y is having a translation of y-4.The center of the circle is dilated by 3 units.
The circles are similar because you can translate Circle 1 using the transformation rule (x+6,y-4 ) and then dilate it using a scale factor of 3.
2) Area of sector = 
÷360.
Where α is the angle made at center.
Area of given sector= π(12)(12)(60)÷360 =24π.
Answer:
D. The correct value of c = 7.4
Step-by-step explanation:
According to Tangent-Secant theorem:
"When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment."
Here, the external length of tangent segment = 10
Also, the length of internal segment is 14 and c.
So, by the SECANT THEOREM:
or, c = 7. 1428
Now, rounding off the value of c = 7. 14 to the nearest tenth, we get
c = 7. 4
Hence the correct value of c = 7.4
Answer:
Step-by-step explanation:
We have to find the points that are on the graph by finding the order pair (x, y) We are given the x value, so substitute x in the given equation f(x) and find y.
The graph is a line
Try writing it in point-slope form and you will see why you have a problem.
slope m is equal to (y2-y1)/(x2-x1):
m = (y2-y1)/(x2-x1) = (2-6)/(-6 - -6) = -4/0
The denominator has a zero, so it is undefined.
Since the point-slope form requires "m" to be defined, you can't write the equation of the line using point-slope form.
Answer:
8.27 ft.
Step-by-step explanation:
Using trigonometry of a right angled triangle:
cos 74 = x / 30 where x is the required distance
x = 30 cos 74
= 8.269 ft
