Answer:
<em>The perimeter of the pizza slice is 20.1 cm</em>
Step-by-step explanation:
<u>Perimeter of a Sector of a Circle</u>
The arc length of a sector of a circle of radius r and angle θ is given by:
L = rθ
The angle must be expressed in radians.
The total perimeter of the circular sector, including the two radii, is:
P = rθ + 2r
The pizza slice has a radius of r=7 cm and a central angle of θ=50°
Converting to radians:

The perimeter is:

Calculating:
P = 20.1 cm
The perimeter of the pizza slice is 20.1 cm
Answer:
10 years
Step-by-step explanation:
We can use the equation for simple interest: <em>I = P(1 + (R*T))</em>, and change some of the numbers: <em>2P = P(1 + (0.11*T))</em>
Divide: <em>2 = 1 + (0.11*T)</em>
Subtract: <em>1 = 0.11*T</em>
Divide: <em>T = 100/11 ≈ 9.09</em> ⇒ 10 years (rounded up because it won't be doubled until the next year)
There are several ways to confirm that the two expressions are equal. One method is to simply factor the first expression and see it you get a result equal to the second expression. An easier method is to set a value for x and substitute it to the two expressions. If the resulting value is that same, this means that the two expressions are equal.
Answer
The distance between to her house and the school is 1.575 miles.
Step by step explanation
Eugene walked all the way to school = 3mph
She ran back at the rate (r) = 7 mph
Let's "d" is distance between her house and the school.
time(t) = distance/rate
Time taken = 45 minutes
d/3 + d/7 = 45/60
Now we have to find the LCD of 3 and 7, that is 21
(7d + 3d)/21 = 45/60
10d/21 = 45/60
Cross multiply and find the value of "d"
10d * 60 = 45*21
600d = 945
d = 945/600
d = 1.575 miles
The answer would be $856 per month since you have to add it all together. If you need more months then multiply 856 with the number of months. It is very simple if you read it with understatement.