Answer:
Multiply the radius (r), by 2 then divide the angle measure, x, by 4.
Step-by-step explanation:
Answer:
Sydney is 52 years old, and Tristan is 30.
Step-by-step explanation:
Represent Tristan's age by t and Sydney's by s.
Then s - 8 = 2(t - 8), and t = s - 22
Substituting s - 22 in the first equation, we get:
s - 8 = 2(s - 22 - 8), or
s - 8 = 2s - 60
Solving for s: -2s + s = -60 + 8, or -s = -52.
Sydney is 52 years old, and Tristan is 30.
Answer: 25%
Step-by-step explanation:
From the question, we are informed that Allison earned $200 the first month she worked and $250 the second month she worked.
The percentage increase in her salary will be calculated as:
= Salary Increase / Old salary × 100
= (250 - 200) / 200 × 100
= 50/200 × 100
= 1/4 × 100
= 25%
The percentage increase is 25%
Answer:
Step-by-step explanation:
Since the original price of the sofa is 1,029.00 and the sale price of the sofa is 1/3 the original price, it means that the sale price is
1/3 × 1029 = 343
A customer can get an additional 5%off discount off the sale price for paying with cash. This means that the amount that this customer would pay since he is paying cash is
343 - (5/100 × 343) = 325.85
Since at checkout, a 6.5% sales tax on the final price is added to the cost of the sofa, then the total cost of the sofa for this customer is
325.85 + (6.5/100 × 325.85) = 347.03025
Answer:
The number of ways is equal to 
Step-by-step explanation:
The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are
n1 x n2 x ... x ni
Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.
For example : We want to put 4 different objects in a row.
The total ways to do this are 
ways.
Using the multiplication principle and the n-factorial number :
The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒
