Answer:
The angular speed is 3,227 rad/min
Step-by-step explanation:
Remember that
1 mile=63,360 inches
step 1
Find the circumference of the wheels
The circumference is equal to
we have
substitute
step 2
we know that
The speed of the wheel is 55 mi/h
<em><u>Convert to mi/min</u></em>
55 mi/h=55/60 mi/min
<u><em>Convert to in/min</em></u>
(55/60) mi/min=55*63,360/60 in/min= 58,080 in/min
we know that
The circumference of the wheel subtends a central angle of 2π radians
so
using proportion
Find out how much radians are 58,080 inches
therefore
The angular speed is 3,227 rad/min
Answer:
Step-by-step explanation:
I didn’t see any choices but an inverse function switches the x and y values.
For every (x,y) of f(x) the inverse function will have (y,x) of f^-1(x)
Answer:
The total cost of the dried fruit.
Step-by-step explanation:
$2.50 is the cost of the dried fruit per pound.
2.5x means the total cost of the dried fruit ( x is the number of pounds of dried fruit and total cost = 2.5 times x in dollars).
ABCSolve for x
x + 30 + 2x - 4 + 4x = 180 All triangles have 180°. collect like terms.
7x + 26 = 180 subtract 26 to both sides.
7x = 154 Divide by 7
x = 154/7
x = 22
A = x + 30 = 22 + 30 = 52
B = 2x - 4 = 2(22) + 30 = 44 - 4 = 40
C = 4x = 4*22 = 88
Check<A + <B + <C = 180
<52 + <40 + <88 = 180°
180 = 180
It checks and we are done with this triangle.
A'B'C'
2x + 8 + x + 18 + 5x - 22 = 180 Collect the like terms.
8x + 4 = 180 Subtract 4 from both sides.
8x = 180 - 4
8x = 176 Divide by 8
x = 176 / 8
x = 22
A' = 2x + 8
A' = 2(22) + 8 = 44 + 8 = 52
B' = x + 18 = 22 + 18 = 40
C' = 5x - 22 = 5*22 - 22 = 110 - 22 = 88
ConclusionA = A'
B = B'
C = C'
All three angles of one triangle are equal to all three angles of the other. So by AA the two triangles are similar.
CommentNote: the dilation of 12 has nothing to do with this answer. If you were asked about similarity of sides then the 12 would be something to do with the problem.
four multiplied by twelve, plus three
