What the complement of 54.6 degree

The ratio of the number of people who voted to the number of possible voters in the sheriff election is 1:6 after simplifying the original ratio of 210:1260.

In an election for sheriff where there are 1260 possible voters and only 210 people voted, the ratio of the number of people who voted to the number of possible voters can be written as 210:1260. To simplify this ratio, you divide both numbers by the greatest common divisor, which in this case is 210. So, when you divide both 210 and 1260 by 210, the simplified ratio is 1:6. This means that for every one person who voted, there were six possible voters.

The number of people who voted is 210 and the number of possible voters is 1260. So the ratio is 210:1260. Simplifying this ratio by dividing both numbers by their greatest common divisor, which is 30, we get 7:42. Therefore, the ratio to compare the number of people who voted to the number of possible voters is 7:42.

Final answer:

The length of Judy's rectangular patio is 11 meters, calculated using the perimeter formula for rectangles and the given width and perimeter measurements.

Explanation:

To find the length of Judy's patio, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Judy's patio has a known width of 9 meters and a perimeter of 40 meters. Substituting these values into the perimeter formula, we get:

40 = 2l + 2(9)

40 = 2l + 18

To solve for the length l, we first subtract 18 from both sides:

40 - 18 = 2l

22 = 2l

Now, we divide both sides by 2 to find the length:

22 / 2 = l

11 meters = l

Therefore, the length of Judy's patio is 11 meters.

Answer:  

The correct option is C. $12.00

Step-by-step explanation:

Annual Principal Rate = 10.95%

                                    = 0.1095

Time duration = 10 days

[tex]\text{Time duration in years =}\frac{10}{365}=0.027\:\:years[/tex]

First finding interest rate for $700

Interest = 700 × 0.1095 × 0.027

             = $2.10

Now finding interest rate for $1900

Interest = 1900 × 0.1095 × 0.027

             = $5.70

Then finding interest rate for $1400

Interest = 1400 × 0.1095 × 0.027

             = $4.20

Total Interest paid = 2.10 + 5.70 + 4.20

                                = $12.00

Hence, The correct option is C. $12.00

Final answer:

The explicit rule for the nth term of the sequence is an = -5 * 5ⁿ that is option A is correct.

Explanation:

The explicit rule for the nth term of the sequence is an = -5 * 5ⁿ

To find this rule, we notice that each term is 5 times the previous term but negative. So, the nth term can be represented as an = -5 * 5^(n-1), which simplifies to an = -5 * 5ⁿ.

Therefore, the correct answer choice is A) an = -5 * 5ⁿ.

Option: B is the correct answer.

              B.    $ 3.89

The price of a gallon of gas at five gas stations is given by:

       $3.64, $3.79, $3.70, $4.01, and $3.91

The mean of these data values is given by:

      [tex]Mean=\dfrac{3.64+3.79+3.70+4.01+3.91}{5}\\\\\\Mean=\dfrac{19.05}{5}\\\\\\Mean=3.81[/tex]

We know that if each of the quantity of the data set is increased by a fixed amount then the mean of the data set also increases by that fixed amount.

As we are given that each  gas station raised its price by $0.08.

This means that the mean is also increased by $ 0.08

i.e. Today's mean price of a gallon of gas at the five station is given by:

            [tex]Mean=3.81+0.08\\\\\\Mean=3.89[/tex]

             Hence today's mean is:

                   $ 3.89

The correct answer is  2.

To simplify the expression 3a • 3b ÷ 3c ÷ 3d, we need to apply the laws of exponents and combine the coefficients and variables.

Given expression: [tex]3a \cdot 3b \div 3c \div 3d[/tex]

[tex]\text{Step 1: Rewrite the expression using exponents}[/tex]

[tex](3^1 \cdot a) \cdot (3^1 \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]\text{Step 2: Apply the laws of exponents for multiplication and division}[/tex]

[tex](3^1 \cdot 3^1 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]= (3^{1 + 1} \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]= (3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]\text{Step 3: Simplify the expression by combining the exponents and coefficients}[/tex]

[tex](3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]= (3^2 \cdot a \cdot b) \div (3^{1 + 1} \cdot c \cdot d)[/tex]

[tex]= (3^2 \cdot a \cdot b) \div (3^2 \cdot c \cdot d)[/tex]

[tex]= \frac{a \cdot b}{c \cdot d}[/tex]

Therefore, the simplified expression is [tex]\frac{a \cdot b}{c \cdot d}[/tex], and the exponent on 3 is 2.

The first step to solve this problem is to compute first for the area of the bigger rectangle:

A = LW

A = 12m (10m)

A = 120 m^2

Next step is to find the area of the smaller rectangle:

A = LW

A = 7m (2m)

A = 14 m^2

The last step is to deduct the area of the smaller rectangle to the area of the larger rectangle:

Area of larger rectangle – Area of the smaller rectangle = Area of the shaded region

120 m^2 – 14 m^2 = 106 m^2

Therefore, the area of the shaded region is 106 square meters.

Let Yesenia's score in the third test be represented by the letter "x".

Now, we know that, by definition, the average in our case is the ratio of the sum of the points scored in the tests to the total number of tests taken.

We know that Yesenia scored 91 points on her first test and 73 points on her second test.We also know that Yesenia's average is 79. We have already assumed that she scored "x" in the third test. Thus, by definition of average, we get the following equation as:

[tex] 79=\frac{91+73+x}{3} [/tex]

Cross multiplication gives us:

[tex] 79\time 3=164+x [/tex]

Thus, [tex] x=237-164=73 [/tex]

Thus, Yesenia got a score of 73 in her third test.

By changing the 'v' in 'cave' to 'n', we solve the clue: A curved stick, given by the word 'cane'. Although a concave mirror was mentioned, it doesn't fit in this context.

The question asks you to change one letter in the word 'cave' to solve the clue: A curved stick. If we change the letter 'v' in 'cave' to 'n', we get the word 'cane'. A cane is typically curved at the top, resembling a stick. Although the reference to a concave mirror is interesting, it does not fit in this context as a concave mirror is a spherical mirror with its reflecting surface on the inner side of the sphere, forming a 'cave' shape. A useful tip to remember for distinguishing between concave and convex is: concave means caved in.

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The lifetime cost of the oven shows that A. The interest cost $94.12 more than the electricity.

From the given information, over ten years that she kept the oven, it used an average of $2.97 per week in electricity. This will be calculated as:

= 2.97 × (10 × 52)

= 2.97 × 520

= $1544.30

Then, using the interest, the computed value will be:

= [(53.78 × (12 × 7)] - 2879

= (53.78 × 84) - 2879

= 1638.52 - 1544.40

= $94.12

Therefore, the interest cost $94.12 more than the electricity.

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