What is the perimeter of a triangle having side lengths of 8 cm, 10 cm and 6 cm?
Answers
Soooo
8 + 10 + 6 = 24
So the perimeter of this triangle is 24cm
love, the Pineapple.
8 + 10 + 6 = 24 cm
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If you are riding on a Ferris wheel that is 60 feet tall and it takes you 5 minutes to make one revolution, what is your linear velocity?a. 0.62 feet per second b. 0.31 feet per second c. 37.68 feet per second d. 3.14 feet per second e. 9.42 feet per second
Mr Smith class has 45 students 23 of the students are men and the rest are women what is the fraction best represent the number of women on the class
Answers
a(n) = a(1)*r^(n-1), where a(1) is the first term, n is the counter and r is the common ratio.
I first noted that 243 is a power of 3; specifically, 243=3^5, or 243=3(3)^4, or 243=(3^2)(3)^(4-1). Notice that I'm trying here to rewrite 243=3^5 in the form a(n) = a(1)*r^(n-1): a(4) = a(1)(3)^(4-1), or a(4) = a(1)(3)^3 = 243. Then by division we find that a(1) = 243/27 = 9. Is it possible that a(1)=9?
Let's try out our formula a(n)=9(3)^(n-1). Steal n=9 and see whether this formula gives u s 59049:
n(9) = 59049 = 9(3)^(9-1), or 9(3)^8. True or false? 3^8= 6561, and 9(3)^8 = 59049.
YES! That's correct.
Therefore, the desired formula is
a(n) = 9(3)^(n-1). The first term, a(1) is 9(3)^(1-1) = 9(3)^0 = 9*1 = 9.
Final answer:
The first term of the geometric sequence is 3. Calculation is done using the formula for the nth term of a geometric sequence and substituting the given values.
Explanation:
To find the first term of the geometric sequence, one can use the formula for the nth term of a geometric sequence, which is a = arn-1. Here, 'a' is the first term, 'r' is the common ratio and 'n' is the term position. As provided in the table, when n=4, an=243 and when n=9, an=59049. We can setup the equation 243 = a*r3 and 59049 = a*r8. Dividing the second equation by the first we get r5 = 243, leading to r=3. Substitute r=3 into the first equation to find 'a' and we get a= 3.
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Answers
21x>2 should be the answer
7.5
12.5
20
Answers
The term "y varies directly with x" means that the formula is a direct variation. We need to look for the constant of variation.
y = kx ; where k is the constant of variation.
k = y/x
k = 5/2.5
k = 2
We then use the direct variation formula to get the value of y when x is a certain number.
y = kx
y = 2 * 10
y = 20
The value of when y varies directly with x using the direct variation is 20.
In direct variation, the relationship between x and y can be expressed as:
y = k x
Where k is the constant of variation.
The value of k can be calculated using the data provide in the question
if x = 2.5 then y = 5
5 = k 2.5
The value of k can be calculated by dividing both side by 2.5
k =
k = 2
The value of y can be calculated by substituting x is 10.
y = 2 10
y = 20
Therefore, the value of y is 20 when y varies directly with x.
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Answers
Answer:
Volume = 680 ft³
Step-by-step explanation:
Given
Floor Area = 85 ft²
Height = 8 ft
Required
Volume of the Kitchen
To solve this, it'll be assumed that Tony's kitchen has a regular shape.
Having said that, the volume of Tony's kitchen is calculated as thus.
Volume = Floor Area * Height.
Substitute the values of floor area and height
Volume = 85ft² * 8ft
Volume = 680 ft³
Hence, the volume of Tony's kitchen is 680ft³
True
False
Answers
Answer:
false
Step-by-step explanation:
Answers
Miguel goal is to practice the piano more than x hours per week.
h >= x
hence depending on the amount ot hours needed to practice each week, you have to set them to be the minimum, and any other larger quantity satisfies the proposition as well.