Answer:
The radius of the pie is 6.17 in.
Step-by-step explanation:
The formula for arc length as a function of radius is
s = r·Ф, where Ф is the central angle in radians.
Here we know that the arc length is 7.85 in. Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is
2π / 8, or π /4 (radians).
thus, s = r·Ф, solved for r, is r = s/Ф
and in this instance r = (7.85 in)/(π/4). Evaluating this, we get:
r = 6.17 in
The radius of the pie is 6.17 in.
Answer:
B. x = 7, y = 4√2
Step-by-step explanation:
Drop a vertical from the upper left corner
This creates a rectangle and a 45-45-90 triangle
The bottom of the rectangle is 3
The legs of the triangle are 4
Therefor
x = 4 + 3
x = 7
For a 45-45-90 triangle
the hypotenuse = leg * √2
y = 4√2
Answer:
34
Step-by-step explanation:
$1.25 = 125 cents.
$42 = 4200 cents
Tickets sold at 75 cents = x
Tickets sold at 125 cents = y
x + y = 40
75x + 125y = 4200
Multiply the first equation by 75
75x + 75y = 3000
75x + 125y = 4200
Subtract the the second equation from the first.
75x + 75y = 3000
- 75x + 125y = 4200
-------------------------------
0 - 150y = - 1200
Divide both sides by - 150
-150y/-150 = -1200/-150
y = 8
Substitute y = 8 into the first equation
x + y = 42
x + 8 = 42
x = 42 - 8
x = 34
34 tickets were sold for 75 cents
8 tickets were sold for $1.25
Answer:
Step-by-step explanation:
y>x+1
B of course i think i hope