Find the perimeter of the quadrilateral, round to the nearest tenth if necessary

12 ft * 10 ft = 120 sq ft

½ * 6 ft * 7 ft = 21 sq ft

120 sq ft - 21 sq ft = 99 sq ft (it is area of the composite shape)

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

\(2n=-12\)

STEP 2: Divide each term by 2 and simplify.

\(n=-6\)

Answer:

4

Step-by-step explanation:

2 / 1/2. Flip it. 2*2 which is 4

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The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot

A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.

A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.

With this type of Table, the top is always X and the bottom is always Y.

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The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

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Answer:

\(8\frac{1}{5} acres\)

Step-by-step explanation:

\(7\frac{1}{4} + 3\frac{1}{5} - 2 \frac{1}{4} \\\\7\frac{1}{4} - 2 \frac{1}{4} = 5\\\\then:\\\\7\frac{1}{4} + 3\frac{1}{5} - 2 \frac{1}{4} = 5 + 3\frac{1}{5} = 8 \frac{1}{5}\)

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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Answer:

9/4 inches

Step-by-step explanation:

42 is 3x more than 14. therefore, what is 3x more than 3/4 is 9/4

Answer:

9/4

Step-by-step explanation:

14 times 3 = 42

3/4 times 3 = 2.25

2.25 in fraction form is 9/4

The actual length and actual width in meters of the community pool are respectively; 28 meters and 10.5 meters

In the scale drawing of Joe as attached, we see that the community pool has a length to width ratio of;

(length : width) = 8 : 3

Let the actual length of the pool be 8x meters and the actual width be 3x meters.

We are told that the actual pool has a perimeter of 77 meters.

Thus;

2(8x + 3x) = 77

22x = 77

x = 3.5

Therefore, the length of the pool is 8x = 8(3.5) = 28 meters.

The width of the pool is 3x = 3(3.5) = 10.5 meters

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Complete Question is;

Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width in meters?

Answer:

39

Step-by-step explanation:

difference=28

other number=11

so:

11+28=39

39 is your other number

Answer:

Just simply add the given two numbers and you ll get the answer 39 now to check whether its right or wrong subtract 11 from 39 and you ll get 28 which proves that its correct

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer:

1/3

Step-by-step explanation:

It takes 3 spots for the line to hit an intersection of y and x axis so therefore the slope is 1/3

Answer:

Answer:8x3=24

Step-by-step explanation:

8 across the x axis and

3 across the y axis

8x3=24

The Sales Volume Variance of the car manufacturer for the twelve-month period is $96,000.

The sales volume variance measures the financial impact of not meeting or exceeding the budgeted sales for a period.

It can be computed by finding the difference between actual and budgeted sales quantities and then multiplied by the unit selling price.

Budgeted sales units = 50,000

Actual sales units = 48,000

Sales price per unit = $60

Actual sales revenue = $2,904,000

Budgeted sales revenue = $3,000,000 ($60 x 50,000)

Sales volume variance = $96,000 ($3,000,000 - $2,904,000)

Thus, the Sales Volume Variance is $96,000.

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Answer:

b = 5

Step-by-step explanation:

All quadratic equations are formed in the format of \(a^{2}\) + bx + c = 0

Using this formula, we can re-arrange the equation to fit the given format.

\(3x^{2}\) - 2 = -5x
\(3x^{2}\) + 5x - 2 = 0

5 is plugged in for "b" in this equation, therefore b = 5.

Answer:

line RQ

Step-by-step explanation:

The points on a line can be flipped when naming. For example, line AB is the same as line BA.

\(f(x)=3x+2+x\) find f(2)

Substitute:

\(f(2)=3(2)+2+(2)\)

\(f(2)=6+2+2\)

\(\fbox{f(2) = 10}\)

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

-9-9x=27+9

-9x=36÷(-9)

x=-4

Step-by-step explanation:

prove me wrong

Answer:

24%

Step-by-step explanation:

6/25=0.24

0.25*100=24%

ok

To solve this problem, I'll use trigonometric functions.

The trigonometric function that relates the opposite side and the adjacent side is tangent.

tan 53 = x/50

Solve for x

x = 50*tan 53

Simplify

x = 50*1.33

Result

x = 66.35

Conclusion

The height of the three is 66.35 ft

Answer:

Using 60°

Let side CB be x

Cos60= x/52

Cross multiply=

x= 52cos60

x= 26 cm

Answer:

150

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

Answer:

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Step-by-step explanation: