4.5 divided by 39.6=
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Perimeter of the parking plot is, 134.8 meter.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, According to the question , the area of the trapezoid shaped parking lot is 846 square meters.

A = Area of the parking lot = 846 square meters

And, H = Height of the parking lot = 18 meter

b₁ = One of the parallel side = 40 meter

b₂  = another parallel side

Hence, We get;

1/2 × 18 (40 + b₂) = 846

40 + b₂ = 846 / 9

b₂ = 54

Hence, Perimeter of the parking plot is,

= (40 + 18 + 54 + 22.8) meter

= 134.8 meter.

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Answer:

18

Step-by-step explanation:

First, we have to find out the scale factor of the triangles. So, we go from 20 to 30 by:

\(20s=30\\s=3/2\\s=1.5\)

1.5 is the scale factor. We're looking for x. We go from 12 to x by:

\(12*1.5=x\\18=x\)

Answer:

(10,-10)

Step-by-step explanation:

Answer:

$7x+14.7x^2+22$

Step-by-step explanation:

Steps

$7x+14.7x^2+22$

Answer:2.6

Step-by-step explanation:

Answer:

2.6

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

3x+13<28

Subtract 13 from each side

3x+13-13<28-13

3x < 15

Divide each side by 3

3x/3 <15/3

x < 5

There is an open circle and 5 and a line going to the left

Step-by-step explanation:

x equals 40

.... good luck!

Answer:

12:44

12:16

12:08

12:32

12:28

Correct answer:

12:16

Step-by-step explanation:

Explanation:

The path traveled by the tip of the minute hand over the course of one hour is a circle of radius r=6. The circumference of that circle is

C=2πr=2π⋅6=12π.

The tip has traveled 10 inches since noon, so the fraction of the circle traveled is 1012π,

and the number of minutes that have expired since noon is 1012π⋅60≈16.

Therefore, to the nearest minute, the time is 12:16.

Answer:

55 square feet jsjjjis the answer

Answer:

d(m) can range up to 1500 meters

Step-by-step explanation:

multiply 20 by 75 since she will be swimming at a constant speed of 75 for 20 minutes

Answer: the third option

Step-by-step explanation:

all of the red lines on the black lines are showing that everything is congruent. also, those two angles equal the same. so, the answer is that they are equal,

It will take 2/3 minutes to run 1 mile.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Amal can run 1/8 mile in 1/12 minutes.

If Amal can maintain that pace,

it will take him to run 1 mile,

= 1/12 ÷ 1/8

= 1/12 x 8/1

= 8/12

= 2/3 minutes.

Therefore, the required time is  2/3 minutes.

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Answer:greengrocer should Dell 17 kg before profit. 500$ profit

Step-by-step explanation:

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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The distance is 864 m.

Speed of the bee when it travels from hive to flowerbed = 9 ft/s

Speed of the bee when it travels from flowerbed to hive = 6 ft/s

The time taken for the bee to travel from hive to flowerbed = t1

The time taken for the bee to travel from flowerbed to hive = t2

Time the bee remained in the flower bed = 17 minutes

Time the bee was away from the hive = 19 minutes

Time to go the the flowerbed and return = 19 - 17 = 2 minutes or 120 seconds

t1 + t2 = 120

t1 = 120 - t2

distance = speed * time

9t1 = 6t2

9(120 - t2) = 6t2

t2 = 144 s

Distance = 6 * 144 = 864 m

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1 foot is equal to 12 inches. So one feet is equal to 12 inches. The conversion factor between feet and inches is 1 ft = 12 in.

Inches (in) and feet (ft) are both units of measurement for length, but they are not directly interchangeable. To convert a measurement of length from feet to inches, you will need to use a conversion factor.

To convert a measurement of length from feet to inches, you will multiply the number of feet by the conversion factor of 12.

For example,

if you have a measurement of 2 feet, you would multiply 2 x 12 to get 24 inches. So, 2 ft = 24 in.

It's important to note that when measuring length, it's important to use the same system of measurement as the requirement, as using the wrong measurements can greatly affect the outcome of the calculation. It's always good to know the conversion factors to make your calculations easier.

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The trigonometry expression is sin(x) = 3/5

The triangle is a right triangle.

So, we can make use of the following equations:

Using the sine expression, we have:

sin(x) = 3/5

Hence, the trigonometry expression is sin(x) = 3/5

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It is not possible to provide a precise explanation or calculation for constructing a confidence interval or fitting a regression model in this context.

To construct a confidence interval, several key components are needed:

With these components, a confidence interval can be calculated to estimate the true population parameter (e.g., mean, proportion) within a certain range.

The formula for constructing a confidence interval depends on the specific parameter being estimated and the distribution of the data.

In the case of a regression model, additional information is needed, such as the equation or relationship between the dependent variable (Y) and explanatory variable (X).

This equation is used to estimate the fitted values and residuals.

Fitted values are the predicted values of the dependent variable based on the regression model, while residuals are the differences between the observed values and the fitted values.

Without the specific details of the sample size, mean, standard deviation, and the regression equation.

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Answer:

\(7,500\)

Step-by-step explanation:

Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be \(x\).

We have the following proportion:

\(\frac{1}{1,500}=\frac{2}{x},\\x=2\cdot 1,500=3,000\)

Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be \(y\).

We have:

\(\frac{2}{3,000}=\frac{5}{y},\\2y=5\cdot 3,000,\\2y=15,000\\y=\boxed{7,500}\)

Therefore, there were 7,500 books in 2013.

Answer:

7,500 books

Step-by-step explanation:

Answer:

she has 4 minutes per question

Step-by-step explanation:

60x3=180

180/45=4

Answer:

4

Step-by-step explanation:

60 min in an hour there are 3 so

60×3=180

since there are 45 questions dived by 45

180÷45=4

12%

The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.

Now, we follow the simple rules of percentage change

Increase divided by original times 100.

So, 60 divided by 500( not 700) times 100 = 12

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

You take the 15 he had and subtract 9.52 from that which would look like this

15 - 9.52 = 5.48

Now with our new value 5.48 we divide it by two.

5.48 / 2 = 2.74

So he saved $2.74

The answers are:

(a) The x component of the vector is 41.568 m.
(b) The y component of the vector is 24.0 m.

(a) The displacement vector \(\( \vec{r} \)\) in the xy plane has a magnitude of 48.0 m and is directed at an angle of \(\( \theta = 30.0^\circ \)\) in the figure.
To determine the x component of the vector, we can use the trigonometric identity \(\( \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \).\)
In this case, the adjacent side represents the x component, and the hypotenuse is the magnitude of the vector.

So, the x component can be calculated as:
\(\( \text{x component} = 48.0 \, \mathrm{m} \times \cos(30.0^\circ) \)\( \text{x component} = 48.0 \, \mathrm{m} \times 0.866 \)\( \text{x component} = 41.568 \, \mathrm{m} \)\)
Therefore, the x component of the vector is 41.568 m.

(b) To determine the y component of the vector, we can use the trigonometric identity\(\( \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \).\)
In this case, the opposite side represents the y component, and the hypotenuse is the magnitude of the vector.

So, the y component can be calculated as:
\(\( \text{y component} = 48.0 \, \mathrm{m} \times \sin(30.0^\circ) \)\( \text{y component} = 48.0 \, \mathrm{m} \times 0.5 \)\( \text{y component} = 24.0 \, \mathrm{m} \)\)
Therefore, the y component of the vector is 24.0 m.

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Explanation:

We'll use the tangent ratio to connect the opposite and adjacent sides with the reference angle

tan(angle) = opposite/adjacent

tan(A) = 14/7

Then use the arctangent function (aka inverse tangent) to fully isolate A

A = arctan(14/7)

A = 63.4349 degrees approximately; make sure your calculator is in degree mode

Round this to the nearest whole number to get 63.

Answer:

800

Step-by-step explanation:

0℅ decrease of 800=800

Answer:

-6 is the rate of change per year

Step-by-step explanation:

The amount in dollars decrease by 6 every year.

It went from $27 to $21 to $15 and finally to $9.

Hope I helped you!!

x^2=37 ===》 x = + radical 37( acceptable )

===》 x = - radical 37(unacceptable)