Answer:
.05
Step-by-step explanation:
Answer: 50 calories
Step-by-step explanation:
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:
= 90/150 = 3/5
One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:
= 12/120 = 1/10
The fat that are provided by a 100 calorie serving of the microwave popcorn would be:
= 3/5 × 100
= 60
The fat that are provided by a 100-calorie serving of the pretzels would be:
= 1/10 × 100 = 10
The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:
= 60 - 10
= 50 calories
Use the Pythagorean theorem. The Pythagorean Theorem uses the following formula:

Plug in the known values into the equation:



Subtract both sides by 36.

Square root both sides to get b by itself.


The value of x is 8.
Answer:
1. Percent
2. Number
Step-by-step explanation:
The approximate length of rail that needs to be replaced is 7.1 ft
<h3>Length of arc</h3>
Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where
- Ф = central angle of rail section = 27° and
- D = diameter of circular pool = 30 ft
<h3>Approximate length of rail</h3>
So, substituting the values of the variables into the equation, we have
L = Ф/360° × πD
L = 27°/360° × π × 30 ft
L = 3/40 × π × 30 ft
L = 3/4 × π × 3 ft
L = 9/4 × π ft
L = 2.25 × π ft
L = 7.07 ft
L ≅ 7.1 ft
So, the approximate length of rail that needs to be replaced is 7.1 ft
Learn more about length of an arc here:
brainly.com/question/8402454