Answer:
The diameter is equal to
Step-by-step explanation:
we know that
The area of a circle (pizza) is equal to
In this problem we have
substitute and solve for r
simplify
square root both sides
Find the diameter
Answer: There are 196.85 cm in 500 inches.
Step-by-step explanation:
Since we have given that
1 inch = 2.54 centimeters
We need to find the number of centimeters are in 500 inches.
Since 1 inch = 2.54 centimeters
1 inch =
500 inches =
Hence, There are 196.85 cm in 500 inches.
Answer:
Concept: Sequences & Series
The hint here is to try to find the common factor, you asked us to solve 1 so see the solution below.
- 1,-3,9, -27 : We see a common base of 3 hence we can find that the series representation is
Next we can find the next 3 terms by just plugging in the values
We want the 6th, 7th, and 8th term
So we plug 6 in for n and 7 in for n and 8 in for n
So we get the 6th term=-243
The 7th term= 729
The 8th term= -2187
Answer:
The best course grade your friend can earn is 0.867 = 86.7%.
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.
Step-by-step explanation:
This is a weighed average problem, in which we multiply each grade by its weight.
We have that:
In 70% of the course, the friend has a grade of 81%.
In the other 30%, he will have x.
What is the best course grade your friend can earn?
This will happen if he earns 100% = 1 on the final test. So
The best course grade your friend can earn is 0.867 = 86.7%.
What is the minimum score would your friend would need on the final to earn a 75% for the course?
This is x, when the grade is 0.75. So
The minimum score would your friend would need on the final to earn a 75% for the course is of 0.61 = 61%.
Answer:
- Part A Option B
- Part B 5.71 l and 4.29 l
Step-by-step explanation:
<h3>Part A</h3>
Let x be the volume of 5% solution
<u>Then the volume of 40% solution is </u>
<u>Amount of acid is 10*0.20 for resultant solution, x*0.05 for 5% solution and (10- x)*0.40 is for 40% solution:</u>
- 10*0.20 = x*0.05 + (10 - x)*0.40
Correct equation is B.
<h3>Part B</h3>
<u>Solving</u>
- 2 = 0.05x + 4 - 0.4x
- 0.35x = 2
- x = 2/0.35
- x = 5.71 l of 5% solution
and
- 10 - x = 10 - 5.71 = 4.29 l of 40% solution