A merry-go-round has a radius of 10 ft. To the nearest tenth of a foot, what distance does the merry-go-round cover when it rotates through an angle of 72°?For my first try, I got 62.9 as my answer, and it was marked wrong. I did this a second time, and got 12.6. I would like to check with anyone else to see if I got the answer right.
The answers for this question were:
62.9, 12.6, 25.1, or 125.7
Answers
Answer:
12.6
Step-by-step explanation:
The distance covered by the merry-go-round if makes a complete circle (360°) is its circumference:
circumference = 2*π*radius = 2*π*10 = 62.8 ft
This distance corresponds to 360°, for 72°:
62.8 ft / x ft = 360° / 72°
x = (72/360)*62.8
x = 12.6 ft
Using the formula of arc length, that is
s = rθ
where s = arc length, r = radius, θ = angle (unit must be in radian)
With r = 10 ft and θ = 72 deg ( π/180 deg) = 1.26 rad,
s = (10)(1.26) = 12.6 ft
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After lunch, you need to buy new shoes. You bought a pair last year and they cost $79.00. Now, the same shoes cost $86.00. By what percent has the price increased? Write your answer to 2 decimal places. *
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Answer:
false because each go up by two and I didnt even look it up
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The total area of the United State will be 3,537,438.
What is Addition?
The process of combining two or more numbers is called the Addition.
Given that;
The total land area of the United States is about 3,483,511 square miles more than the total land area of Tennessee, which is about 53,927 square miles.
Now,
Let the total area of the United State = x
Hence, We can formulate;
⇒ x = 3,483,511 + 53,927
⇒ x = 3,537,438
Thus, The total area of the United State = 3,537,438.
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g2 – 4g – 21 = (g – )(g + )
Answers
Answer:
Step-by-step explanation:
To complete the left side of the equation, we need to bring it to the form
expanding this expression we get:
Thus we have
from here we see that for both sides of the equation to be equal, it must be that
.
Getting rid of the negative signs we get:
At this point we can either guess the solution to this system (that's how you usually solve these types of problems) or solve for and
systematically.
The solutions to this set are and
. (you have to guess on this—it's easier)
Therefore, we have
which completes our equation
Answer: -7 and +3
did the assignment
Answers
m - slope
x₁, y₁ - the coordinates of a point
It passes through the points (1,-2) and (2,2).
a. 290 mod 26
b. 9^{-1} mod 26
c. -15 mod 26
Answers
We subtract the largest multiple of 26 which is less than 290. The answer we get after the subtraction is the answer.
Largest multiple of 26 is 286, because 26 * 11 = 286
290 - 286 = 4.
290 mod 26 = 4.
b). 9^(-1) mod 26 = 0.111 mod 26.
0 * 26 = 0.
The largest multiple of 26 which is less than 0.111 is 0.
We subtract this from 0.111
0.111 - 0 = 0.111
9^(-1) mod 26 = 9^(-1) = 0.111
c). -15 mod 26.
Take note this is negative numbers. But same rules applies here.
The largest multiple of 26 which is less than -15 is -26.
We subtract this from -15
-15 - (-26) = -15 + 26 = 11
-15 mod 26 = 11
Final answer:
The results of the modulo operations are: 290 mod 26 results in 2; 9^{-1} mod 26 is equivalent to 3; and -15 mod 26 equals 11.
Explanation:
To simplify each of the following with justifications:
- 290 mod 26: When you divide 290 by 26, the remainder is 2. Therefore, 290 mod 26 = 2.
- 9^{-1} mod 26: First, you need to find the multiplicative inverse of 9 in mod 26. The multiplicative inverse of an integer a modulo m is an integer b such that (ab) mod m = 1. For 9, the multiplicative inverse is 3, since (9*3) mod 26 = 27 mod 26 = 1. Therefore, 9^{-1} mod 26 = 3.
- -15 mod 26: In modular arithmetic, if you end up with a negative number, you add the modulus until you get a positive result. Here, adding 26 once to -15 gives you 11. Therefore, "-15 mod 26 = 11".
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Answers
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divide 60(hour to minutes)
Answer is 0.95 ft/min