Answer:
26.3 rev/min
Step-by-step explanation:
The angular velocity (ω) is the linear velocity divided by the radius ( r= 80 feet)
ω = 220/80 = 2.75 rad/s
The angular velocity and the frequency are related by:
ω = 2π*f
2.75 = 6.28*f
f = 2.75/6.28
f = 0.438 rev/s * 60s/1min
f = 26.3 rev/min
The scale factor is 1.5. The dilation rule is : (x,y)-------(.15x,1.5y)
Step-by-step explanation:
Dilation is a transformation that maps an object to an image of the same shape as the original object to form a different size image.When a larger image is produced it's called an enlargement where as when a small image is produced, it's called a reduction.
The rule of dilation, with center as the origin follows;
(x,y)------(sx,sy) where s is the scale factor. To find the scale factor, select one of the vertices of the object and of the image at divide the coordinate of image with that of object.
Taking O(2,16) and O'(3,24), the scale factor will be;
s*2=3
2s=3
s=3/2 =1.5
or
s*16=24
16s=24
s=24/16=3/2=1.5
The scale factor is 1.5, hence the dilation rule is;
(x,y)-------(.15x,1.5y)
Learn More
Dilation:brainly.com/question/10945890
Keywords: dilation, vertices, origin, scale factor, translation
#LearnwithBrainly
Answer:
Value of p is 11 and value of q is -11 .
Step-by-step explanation:
x^2 - 121
= x^2 - 11^2
= ( x+11 ) ( x-11 )
Answer:
<u>y = 10/11 x + 2.45</u>
Step-by-step explanation:
Equation of the line
First find the gradient
formula = 
= 
=
= 10/11
m is the gradient
equation of a line
y- y1 = m(x-x1)
y-7 = 10/11 (x-5)
y-7 =
- 
<u>y = 10/11 x + 2.45</u>
<u />
<em>NB i rounded of -50/11 +7 = 2.4545..... to 2.45 </em>
45+1.99x=68.88
Subtract 45 from both sides
1.99x = 23.88
Divide both sides by 1.99
X=12