You should draw a picture to visualize the problem easier.
The circumference of inner circle = 44 ft
That means the radius of the inner circle:
2*pi*r = 44
r = 44/(2pi) = 22/pi
Using the picture you hopefully drew, we see that the radius of the outer circle:
22/pi + 2
To figure out the circumference of the outer circle:
2pi*(22/pi + 2) = 44 + 4pi
So how much bigger is the the circumference of the outer circle than the inner circle?
44 + 4pi - 44 = 4pi
It is 4pi bigger or 4 * (3.14) = 12.56 feet
Answer:
1. C = $100 = .25(m)
2. C = $150
3. 800 = m
Step-by-step explanation:
1. C = $100 (flat fee rate) + .25m
2. c = $100 + .25(200 miles)
↓
c = $100 + 50
↓
c = 150
3. 300 = 100 + .25(m)
-100 -100 (subtract on both sides)
--------------------------------
200 = .25(m)
------------------- (divide by .25 to get m by itself)
.25
Therefore being 800 = m
Answer:
One of the sides is 6 cm and the other is 8 cm
Step-by-step explanation:
Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:
a + b + hypotenuse = 24
a + b + 10 = 24
a + b = 14
b = 14 - a
So now we can right the Pythagorean theorem as follows:
and from this expression in factor form to be zero a must be 6 or a must be 8.
Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)
or a = 8 (and therefore b = 14 - 8 = 6)
11
125
85
------
210
2
---------
420
3
--------
$12.50
x=6
(6x+4) = (8x-8)
∠3 and ∠6 have to be equal since they are opposite interior angles (these angles are always equal to each other). Opposite interior angles prove that two lines are parallel if they are equal, so you just set them equal to each other and solve for x.
(6x+4) = (8x-8)
-6x -6x
4 = (2x-8)
+8 +8
12 = 2x
/2 /2
6 = x
CHECK
(6x+4) = (8x-8)
(6[6]+4) = (8[6]-8)
(36+4) = (48-8)
40 = 40
