How to find angles of rotation that will carry 12 sided polygon

Answers

Answer 1
Answer: Hello. To find it you divide 360 by 12 , and you'll have your polygon. What do you think ?

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Can someone please show how to solve this ln(5x-1)+ln(x-6)=ln6 ???

Answers

when you add ln, you multiply
ln((5x-1)(x-6)=ln6  do now FOIL
ln(5x^2-30x-x+6)=ln6
therefore
5x^2-31x+6=6 and 
5x^2-31x=0 furthermore 
x(5x-31)=0
one solution is 0, which we will reject
the other solution is 5x=31
x=31/5
ln(5x - 1) + ln(x - 6) = ln(6)
ln((5x - 1)(x - 6)) = ln(6)
            ln(5x(x - 6) - 1(x - 6) = ln(6)
ln(5x(x) - 5x(6) - 1(x) - 1(-6)) = ln(6)
ln(5x² - 30x - x + 6) = lm(6)
ln(5x² - 31x + 6) = ln(6)
     5x² - 31x + 6 = 6
5x² - 31x + 6 - 6 = 6 - 6
     5x² - 31x + 0 = 0
x = -(-31) +/- √((-31)² - 4(5)(0))
                       2(5)
x = 31 +/- √(961 - 0)
                 10
x = 31 +/- √(961)
              10
x = 31 +/- 31
           10
x = 31 + 31    x = 31 - 31
          10                  10
x = 62             x = 0
      10                  10
x = 6²/₅            x = 0

Example 1. Increase 120 by 10%. 2. Decrease 2 500 by 7%.​

Answers

Answer:

Step-by-step explanation:

E1 = 120 * 110% = 132

E2 = 2500*93%=2325

If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?A) 0.01
B) 0.02
C) 0.04
D) 0.33

Answers

Answer:

that was wrong it was 0.04 so C

Step-by-step explanation:

The answer is 0.33

Took the test

Assume that the sales of a computer retail store are approximated by a linear function. Sales were $990,000 in 1983 and $2,830,000 in 1988. Let x=0 represent 1983. Find the equation given yearly sales. Estimate sales in 1991.

Answers

To find the equation for the linear function representing the sales, we need to find the slope (m) and the y-intercept (b).

The slope, m, can be calculated using the formula: m = (y2 - y1) / (x2 - x1),where (x1, y1) and (x2, y2) represent points on the line. Using the given data, (1983, $990,000) and(1988, $2,830,000),we have: m = (2,830,000 - 990,000) / (1988 - 1983) = 568,000Substituting one of the points, say (1983, $990,000), into the equation y = mx + b, we can solve for b: 990,000 = 568,000 * 0 + b b = 990,000

Therefore, the equation representing the sales is: y = 568,000x + 990,000. To estimate the sales in 1991, we substitute x = 8 (since 1991 corresponds to x = 8) into the equation: y = 568,000 * 8 + 990,000 y = 4,544,000 + 990,000 y ≈ $5,534,000.Therefore, the estimated sales for 1991 would be approximately $5,534,000.

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The answer is $3,934,000

See attached calcs

You went to the mall with $80 you spend 25% of your money on a pair of shorts and 65% of the remainder on sandels how much did you spend on the sandels.

Answers

80*0.25=20
20*65=13
You spend $13 on the sandals
well 80 is total
25% of 80 is 20
so total now is 60
65% of 60
10% is 6
60% is 36
5 % is 3
36 +3 is 39
you spend 39 on the sandels

What is the nth term of the sequence? 4, –1, –6, –11, …a. 5n – 9
b. n + 3
c. –5n + 9
d. –5n + 4

Answers

C. -5n + 9
When you sub in 1 for n you get -5(1)+9 which is 4 and when 2 is subbed in for n it is -10+9 which is -1 so it checks. After -11, the next number would be -5(5)+9= -16