Curt is installing a picket fence around his garden which is 45.45 ft by 14.63 ft. When he gets to the hardware store he finds that each picket fence slat is two feet wide. If Curt does not want any spaces between each slat, use estimation to determine how many slats of fencing he should buy.

Using the law of sines, the length of side a to the nearest tenth is 58.1 units.

Law of sines states that When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C.

In ΔABC,

∠A=72°

∠B=16°

∠A + ∠B + ∠C = 180° (angle sum property)

72° + 16° + ∠C = 180°

∠C = 180° - (72° + 16°) = 92°

Using sine law, (refer to the figure attached)

[tex]\frac{sin\ A}{a} = \frac{sin\ B}{b} =\frac{sin\ C}{c} \\\\\frac{sin72}{a} = \frac{sin16}{b} = \frac{sin92}{61} \\\\\frac{sin72}{a} =\frac{sin92}{61} \\\\a = sin72 * \frac{61}{sin92} \\\\= 0.9511 * \frac{61}{0.9994} \\\\=58.05193116\\\\= 58.1[/tex]

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total = 450

 parts = 150

450-150 = 300

 50 per hour

300/50 = 6

it took 6 hours

Answer:

A   12 chairs per 3 table

Step-by-step explanation:

4/1 is equivalent to 12 chairs for every 3 tables.

Fractions are used to represent smaller pieces (or parts) of a whole.

Given a statement, 12 chairs for every 3 tables.

The statement represents 12 chairs per 3 tables, which means 12/3 = 4/1

Therefore, there are 4 chairs for every table.

Hence, 4/1 is equivalent to 12 chairs for every 3 tables.

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20.25 -18.90 = 1.35

1.35 / 18.90 = 0.071428571

= 7.14%

check:

18.90 x 1.34946 Round to 1.35

18.90 + 1.35 = 20.25

 Sales tax = 7.14%

x = business man's salary
y = employee's salary

x + 10y = 64000
x = 6y

6y + 10y = 64000
16y = 64000
y = 64000/16 = 4000

x = 6*4000
x = 24000

 business man's salary was $24,000

Answer:

b^2 + 5b +4

Step-by-step explanation:

Answer:

50 miles / hours.

Step-by-step explanation:

Speed may be defined as the distance covered by the object per unit time.

Speed = [tex]\frac{distance}{time}[/tex]

the distance of the business trip = 375 miles.

the time taken by the business trip = 7 hours 30 minutes = 7.5 hrs.

Speed = [tex]\frac{375}{7.5}[/tex]

Speed = 50 miles / hours.

Here, the average of miler per hour is 50 miles / hours.

We are given the following variables:

Normal distribution

u = sample mean = 74

s = standard deviation of the samples = 7

x = sample value = 81

Since we are asked to find percent of the scores less than 81, this means we have to find the proportion using the z-score. The formula for z score is:

z = (x – u) / s

Substituting the given values:

z = (81 – 74) / 7

z = 1

Using the standard normal distribution tables for z, we find that:

P = 0.8413            at z = 1

Therefore this means that 84.13% of scores are less than 81.

The Answer is the two small boxes just got it right For Plato

FAR LEFT FAR RIGHT

The value of 4 + (27 - 12·2) ÷ 2 would be 5.5.

Usually, simplification involves proceeding with the pending operations in the expression.

Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

A Simplification usually involves making the expression simple and easy to use later.

WE follow the rule PEMDAS parenthesis, exponent, multipy, divide, add, substart.

4 + (27 - 12·2) ÷ 2

4 + (27 - 24 ) ÷ 2

4 + (3) ÷ 2

4+3/2,  do 3/2=1.5

then add it

4+1.5 = 5.5.

Therefore, the correct answer is 5.5

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Answer:

1/2

Step-by-step explanation:

Answer:

line graph

Step-by-step explanation:

Answer:

Given the series : 83 , 79 , 75 ,  71 , 67, ?

Difference of two consecutive terms;

79 -83 = -4

75 -79 = -4

71-75 = -4

67-71= -4

Since, you can see that the number is decreases by 4 every time.

Let unknown term be x

then;

x - 67 = -4

x = 67-4

x = 63.

Therefore, the next term in the series is 63.

The next number in the series is 63.

In the given series, each number is decreasing by 4.

We can observe that the first number, 83, is decreased by 4 to get the next number, 79.

Similarly, each subsequent number is obtained by subtracting 4 from the previous number.

Following this pattern, the next number would be obtained by subtracting 4 from the last number in the series, which is 67.

67 - 4 = 63

Therefore, the next number in the series is 63.

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Final answer:

To find the median using quickselect, choose a pivot value, partition the list, and repeat the process with the appropriate partition until the pivot index matches the desired median index.

Explanation:

The median of a list of numbers is the middle value when the numbers are arranged in ascending order. To apply quickselect to find the median, start by choosing a pivot value from the list. Partition the list and move all values smaller than the pivot to the left and all values larger than the pivot to the right. If the pivot index is equal to the desired median index, then the pivot value is the median. Otherwise, if the pivot index is smaller, repeat the process with the right partition; if the pivot index is larger, repeat with the left partition.

In the given example, let's apply quickselect to find the median:

Choose a pivot value, let's say 17.

Partition the list: 5, 8, 9, 12, 17, 20, 30

The pivot index is 4, which is less than the desired median index.

Repeat the process with the right partition: 17, 20, 30

Choose a new pivot value, let's say 20.

Partition the list: 17, 20, 30

The pivot index is 1, which is equal to the desired median index.

Therefore, the median of the list of numbers 9, 12, 5, 17, 20, 30, 8 is 17.

110-75+50-85 =

110+50=160

75+85 = 160

160-160=0

her balance is 0

The first term of the given arithmetic sequence is 7. This can be determined by finding the common difference and moving backwards from the third term using this value.

The subject of this question is Arithmetic Sequence which is a topic in mathematics. An arithmetic sequence is defined by a common difference (d) between consecutive terms.

To solve this problem, we have to find the common difference first. The difference between the 8th term (56) and the 3rd term (21) is 35. But since there are 5 steps from the 3rd term to the 8th term, each step (or the common difference) must be 35 ÷ 5 = 7.

Now that we have the common difference (7), we can reverse it from the 3rd term (21) back to the 1st term which gives us: 21 - 2(7) = 7. So, the first term is 7.

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