If a person is 5 1/2 tall and cast a 3 1/2 shadow And there is a flag poll that is 28 feet tall what is the height of the shadow

The most appropriate choice for speed will be given by-

Speed of the flying carpet is 15.2 mph

What is speed?

The distance travelled by the body per unit time is called speed of the body.

If d is the distance travelled by the body and t is the time taken, then

speed = \(\frac{d}{t}\)

Speed is a scalar quantity as the direction is not taken into account.

Here,

Let the speed of the flying carpet be \(x\) miles

A flying carpet flies 2.4 miles with the wind

Time taken flying with the wind = \(\frac{2.4}{x +4}\)

The flying carpet flies 1.4 miles against the wind

Time taken flying against the wind = \(\frac{1.4}{x - 4}\)

By the problem,

                         \(\frac{2.4}{x +4} = \frac{1.4}{x-4}\)  

                         \(2.4(x - 4) = 1.4(x + 4)\\2.4 x - 9.6 = 1.4 x + 5.6\\2.4 x - 1.4 x = 9.6 + 5.6\\\)

                          \(x = 15.2\) mph

To learn more about speed, refer to the link:

brainly.com/question/24739297

#SPJ9

Answer:

259200

Step-by-step explanation:

so there are 86400 in one day. multiply by 3.

Answer:

259200

Step-by-step explanation:

60x24x3x60=

Answer:

Step-by-step explanation:

Option 1: 1000 + 2000 + 1238

Option 2: 1500 + 1700 + 2038

Answer:

1/8 paintings per week

Step-by-step explanation:

If the artist completes 1/4 of a painting in 2 weeks, then in half the time (1 week), the artist will complete half the work which is 1/8.

Hope this helps :)

Answer:

54%

Step-by-step explanation:

Answer:

Step-by-step explanation:

oh u do ?

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

PQ are the first two letters and AB are the first two letters.

Since the windows are similar the letters in one are in the same orientation as the other ones.

This means PQ would be the same as AB

PQ = 60

The answer is A. 60 in.

Answer:

a

Step-by-step explanation:

Answer:

you can make 12 cans of them

The area of the circular plate is approximately 43.14 square inches.

What is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.

The circumference of a circle can be calculated by the formula:

C = 2πr

where C is the circumference, π (pi) is a constant value approximately equal to 3.14, and r is the radius of the circle.

We are given that the circumference of the circular plate is 23.3 inches, so we can use this information to find the radius:

23.3 = 2πr

Dividing both sides by 2π, we get:

r = 23.3 / (2π) ≈ 3.71 inches

Now that we know the radius, we can use the formula for the area of a circle:

A = πr²

Substituting the value we found for r, we get:

A = π(3.71)²

A = 3.14 × 13.76

A ≈ 43.14 square inches

Therefore, the area of the circular plate is approximately 43.14 square inches.

To learn more about circle from the given link:

https://brainly.com/question/29142813

#SPJ1

After calculating The perimeter of rectangle is 46.52 in the given rectangle.

What is area of rectangle?

area of rectangle can be defined as the product of length and breadth.

Given ,

A rectangle has a length 20 5 /6 and

breadth = 2 3/7

The perimeter of rectangle  = 2 (l+b)

length = (120 + 5 ) / 6 = 125/ 6

breadth = (14+3) / 7  = 17/7

perimeter  = 2 (125/6 + 17/7 )

= 2 ( (125*7 + 17 * 6) / 42 )

= 2 (875+102) / 42

= 2 * 23.26

= 46.52

Hence, after calculating The perimeter of rectangle is 46.52 in the given rectangle.

To learn more about area of rectangle from the given link.

https://brainly.com/question/20693059

#SPJ1

Answer:

The unknown measures 40

Step-by-step explanation:

Use the proportion that derives from the properties of parallel lines intersected by common transversals:

X/24 = 25/15  and solve for x

x = 25 * 24 / 15

x = 40

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

Read more about  probability of random selection at: https://brainly.com/question/251701

#SPJ1

Answer:

$30.62

Step-by-step explanation:

12% of 40 is 4.8

(10% is 4, 2% is 0.8)

40- 4.8= 35.2

13% of 35.2 is 4.576

(10% is 3.52, 3% is 1.056)

35.2- 4.576= 30.624

then rounded to 2 decimal places

30.62

A linear model that best fits the overall pattern of points is given by the

regression line of the data.

Reasons:

a. Points on the graph are;

(6, 218),

The slope, b, regression line equation is given by the following formula;

\(b = \mathbf{\dfrac{\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right) }{\sum \left(x_i - \overline x\right )^2 }}\)

The regression line equation is; \(\overline y = b \cdot \overline x + a\)

Where;

\(\overline x\) = 18.732

\(\overline y\) = 187.24

\(\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right)\) = -4926.59

\(\sum \left(x_i - \overline x\right )^2\) = 792.3944

Therefore;

\(b = \dfrac{-4926.59}{792.3944 } \approx -6.2173\)

\(a = \overline y - b \cdot \overline x\)

Which gives;

a = 187.24 - (-6.2173) × 18.732 ≈ 303.70

The equation of the line is therefore; \(\overline y = \mathbf{-6.2173 \cdot \overline x + 303.70}\)

Using the above regression line equation, the linear model of the scatter

plot can be drawn as presented in the graph created with MS Excel.

b. The slope of the line is b = -6.2173

c. The relationship between price per serving and sodium per serving is

as follows;

When the price per serving increases by 1 cent, the sodium per serving

decreases by 6.2173 mg.

Learn more about the regression line formula here:

https://brainly.com/question/14747095

Based on the calculations, the area of a rectangle to the nearest hundredth is equal to 1143.92 ft².

Mathematically, the area of a triangle can be calculated by using this formula:

Area = 1/2 × b × h

Where:

By drawing a line between the points representing wicket 3 and wicket 9, we can logically deduce that wicket 2 forms a perpendicular bisector. Thus, the distance between the points representing wicket 3 and wicket 9 is given by:

Distance = 1/2 × 36.77

Distance = 36.77/2

Distance = 18.39 ft.

For the height of this triangle, we would apply Pythagorean's theorem:

h² = 25.02² - 18.39²

h² = 626.0004 - 338.1921

h² = 287.8083

h = √287.8083

h = 16.97 ft.

Area of triangle = 1/2 × b × h

Area of triangle = 1/2 × 36.77 × 16.97

Area of triangle = 311.99 ft².

For area of the rectangle, we have:

Mathematically, the area of a rectangle can be calculated by using this formula;

Area = LW

Area = 36.77 × 31.11

Area = 1143.92 ft².

Read more on area of a rectangle here: brainly.com/question/25292087

#SPJ1

Step-by-step explanation:

7000 × 0.2 = 1400 = 0.2% interest every 4 years.

0.2 × 0.5 = 0.1 = 0.1% interest every 2 years.

0.1 × 0.5 = 0.05 = 0.05% interest every year.

Now, to prove this we will multiply 0.2 × 0.25, since the half of 0.5 is 0.25:

0.2 × 0.25 = 0.05

Therefore, the answer would be:

0.2% interest every 4 years.

0.1% interest every 2 years.

0.05% interest every year.

Happy to help!

Answer:

30

Step-by-step explanation:

you have to look at carefully

Area of rectangle is,

A = 45 units²

And, Perimeter of rectangle is,

⇒ P = 28 units

We have to given that;

Vertices of rectangle are,

⇒ (- 4, - 5)  

⇒ (-4, 0)

⇒ (5, 0)

⇒ (5, - 5)

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, Length of rectangle is distance between (- 4, - 5) and (- 4, 0).

Which is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ d = √ (- 4 + 4)² + (0 + 5)²

⇒ d = √ 25

⇒ d = 5

And,  Width of rectangle is distance between (- 4, 0) and (5, 0).

Which is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

⇒ d = √ (- 4 - 5)² + (0 - 0)²

⇒ d = √ 81

⇒ d = 9

Thus, Area of rectangle is,

A = L x W

A = 5 x 9

A = 45 units²

And, Perimeter of rectangle is,

⇒ P = 2 (L + W)

⇒ P = 2 (5 + 9)

⇒ P = 2 × 14

⇒ P = 28 units

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ1

The function of the number of DVDs Angel owns (a) will be a = p + 10

From the information, Angel owns 10 more DVDs than Philip.

The number of DVD that Philip owns was represented asp.

Therefore, the function of the number of DVDs Angel owns (a) will be:

a = p + 10

Therefore the function is a = p + 10

Learn more about functions in:

brainly.com/question/25638609

#SPJ1

The length of the Akashi bridge is 13000 feet.

A fraction is a part of a whole.

It is expressed as a quotient, in which the numerator is divided by the denominator.

Example:

1/2, 4/5.

We have,

Golden Gate Bridge = 9000 feet

Akashi bridge = 1 and 4/9 times as long as Golden Gate Bridge

Here,

1 and 4/9 times can also be written as:

1 4/9 = 13/9 x 9000  

or

1 x 9000 + 4/9 x 9000

The length of the Akashi bridge:

= 1 x 9000 + 4/9 x 9000

= 9000 + 4 x 1000

= 9000 + 4000

= 13000 feet

Thus the length of the Akashi bridge is 13000 feet.

Learn more about fractions here:

https://brainly.com/question/10354322

#SPJ1

The value of side length x (DF) in the triangle is 4.

The figures in the image is that of two similar triangle.

Triangle ABC is similar to triangle DEF.

From the diagram:

Leg 1 of the smaller triangle DE = 5

Leg 2 of the smaller triangle DF = x

Leg 1 of the larger triangle AB = 30

Leg 2 of the larger triangle AC = 24

To find the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg DE : Leg DF = Leg AB : Leg AC

Plug in the values:

5 : x = 30 : 24

5/x = 30/24

Cross multiplying, we get:

30x = 5 × 24

30x = 120

x = 120/30

x = 4

Therefore, the value of x is 4.

Learn more about ratios and proportions at :brainly.com/question/29774220

#SPJ1

Answer:

$5

Step-by-step explanation:

Number of hours worked = 32

Total pay = $160

So, hourly rate

= Total pay/number of hours worked

= $160/32

= $5

SOLUTION:

Step 1:

In this question, we are given the following:

Solve the inequality and express your answer in interval notation using decimal forms for the numeric value.

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answer is:

1/3 of an hour is 60/3 = 20 minutes.

8:05 + 20 minutes = 8:25

8 :25 + 7 hours = 3:25

3:25 + 20 minutes = 3:45

She arrives home at 3:45

Answer:

3:45

Step-by-step explanation:

8.05 + .20 = 8.25

8.25 + 7 = 15.25

Change from military time to standard time.

3.25 + .20 = 3.45

3:45

Answer:

675/12

Step-by-step explanation:

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ1

we are given the following equation

We are asked to find the slope and the intercept of the equation. Let's first remember the slope-intercept form of a linear equation, that is:

where "m" is the slope and "b" the intercept. So, we have to solve for "y" in our equation in order to find the slope and the intercept.

We will first add 2x on both sides of the equation:

That that we solved for "x", we notice that the slope "m" is the number that multiplies the variable "x", that is 2, and the intercept "b" is the constant, that is 3. Therefore, the slope is 2, and intercept 3.