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The angle of elevation of the fly's flight path is approximately 57.74 degrees.

In a right triangle, the hypotenuse is the side opposite the right angle. It is always the longest side of the triangle and is the side opposite to the 90 degrees angle. It is also the side that forms the "hypotenuse" of the right triangle.

The Pythagorean theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as c^2 = a^2 + b^2, where a and b are the legs of the triangle and c is the hypotenuse. This theorem can be used to find the length of the hypotenuse of a right triangle when the lengths of the other two sides are known.

Let's call the angle we're trying to find "theta". The horizontal distance is 30 feet, the vertical distance is 32 feet and the height is 9 feet.

Using pythagorean theorem:

$c^2 = a^2 + b^2$

$c = \sqrt{30^2 + 32^2}$ = $\sqrt{900 + 1024}$ = $\sqrt{1924}$

Now we can use the tangent function:

$\tan(\theta) = \frac{opposite}{adjacent} = \frac{32}{30}$

Now we can find the angle, theta, by using the inverse tangent function:

$\theta = \tan^{-1}(\frac{32}{30})$

The angle of elevation of the fly's flight path is approximately 57.74 degrees.

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Answer:

Kindly check explanation

Step-by-step explanation:

Sample 1 :

Mean = (79.2 + 78.8 + 80 + 78.4 + 81) / 5 = 79.48

Range = 81 - 78.4 = 2.6

Sample 2 :

Mean = (80.5 + 78.7 + 81 + 80.4 + 80.1) / 5 = 80.14

Range = 81 - 78.7 = 2.3

Sample 3 :

Mean = (79.6 + 79.6 + 80.4 + 80.3 + 80.8) / 5 = 80.14

Range = 80.8 - 79.6 = 1.2

Sample 4 :

Mean =(78.9 + 79.4 + 79.7 + 79.4 + 80.6)/5 = 79.6

Range = 80.6 - 78.9 = 1.7

Sample 5 :

Mean = (80.5 + 79.6 + 80.4 + 80.8 + 78.8)/5 = 80.02

Range = 80.8 - 78.8 = 2

Sample 6 :

Mean =(79.7 + 80.6 + 80.5 + 80 + 81.1)/5 = 80.38

Range = 81.1 - 79.7 = 1.4

Xbar = mean of the means

Xbar = (79.48+80.14+80.14+79.6+80.02+80.38) / 6 = 79.96

Rbar = Mean of the sample ranges

Rbar = (2.6 + 2.3 + 1.2 + 1.7 + 2 + 1.4) / 6 = 1.87

n =5 ;D4 = 2.11 ; D3 = 0

From table, D4 = 2.11 ; D3 = 0

Range chart :

Upper Control limit, UCL = D4 * Rbar ; 2.11*1.87 = 3.9457 = 3.95

Lower Control limit, LCL = D3 * Rbar ; 0*1.87 = 0

Mean chart :

Xbar ± A2 * Rbar

From the table :

n = 5 ; A2 = 0.58

Lower control limit(LCL) = Xbar - A2*Rbar

LCL = 79.96 - (0.58*1.87) = 78.8754 = 78.88

Upper Control Limit (UCL) = Xbar + A2*Rbar

UCL = 79.96 + (0.58*1.87) = 81.0446 = 81.04

(78.88 ; 81.04)

The value of Each sample mean falls within the mean interval, Hence, We can conclude that process is on control.

Answer: Both Rick and Jenny could be correct because we do not know what "x" is.

Step-by-step explanation:

The purpose of the variable "x" is to substitute it for an unknown number. Since we do not know what "x" is we can not solve the equation. We can only add like terms.

I hope this helps :)

Answer:

25

Step-by-step explanation:

2.5 =10%

2.5*4= 10

2.5*6=15

Answer:

25

Step-by-step explanation:

Using P=(%)w we can substitute the values. First, I will define the variables. P = part (is), % = percent, w = whole (of)

10 = (40%)w

The reason for this is because 10 is a PART and 40% is a PERCENT and we are solving for the unknown WHOLE. We now divide 10 by 0.40 because to convert a percent to a decimal you just move the point two places to the left:)

10 divided by 0.4 = 25. So, there is a total of 25 students in Mr. Lee's class. Now, we can check this by multiplying 25 and 0.4 to get 10! It is in fact correct.

PLEASE READ PRACTICE AND UNDERSTAND! DO NOT JUST TAKE THE ANSWER. KNOWLEDGE IS POWER :^)

9514 1404 393

Answer:

  T, F, F, T

Step-by-step explanation:

No irrational numbers are integers.

All whole numbers are irrational numbers.

Some whole numbers are not rational numbers.

Some rational numbers are not whole numbers.

Answer:

i dont understand this question but i think maybe 21

Step-by-step explanation:

30-9 =21

Answer:

21

Step-by-step explanation:

B and E Thank you for asking I'm good at fractions!!

Answer:

B'(-2, -3)

C'(7, -6)

D'(7, -1)

E'(-2, -1)

Step-by-step explanation:

When you move translate a coordinate horizontally, if it is to the left, you subtract the x value with how many units you move, and if its to the right, you add however many units you move to the x-value. and when you move vertically, if you move down, subtract the amount of units you moved from the y-value, and if you move up, add however many units you moved to the y-value.

Answer:

201.1 cm ^2 ( in

acellus )

Step-by-step explanation:

The surface area the sphere is 64π cm².

A sphere is a three-dimensional equivalent of a two-dimensional circle. A sphere is a collection of points in three-dimensional space that are all the same distance r from a particular point. hat given point is the center of the sphere, and r is the sphere's radius

Surface area: 4πr²

Given the radius of the sphere is 4 cm.

then apply the formula

surface area = 4π(4)²

                     = 4π(16)

                     = 64π cm²

Hence the surface area is 64π cm².

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Answer:

Mean: 11

Median: 10.5

Mode: 9

Answer:

343.2

Step-by-step explanation:

156 × 2.2

= (156 × 22)/10

= 3432/10

= 343.2

Answer:

3750

I wish you luck in your assignments.

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,-9)[/tex] -- point

[tex]x = -3[/tex] --- slope

Required

Plot the graph

First, we determine the equatio using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = -3*(x - 1) -9[/tex]

Open bracket

[tex]y = -3x + 3 -9[/tex]

[tex]y = -3x -6[/tex]

See attachment for graph

Answer:

Answer:x/6

Step-by-step explanation:

Here the value of x is not given and hence the answer to the question is

x/6

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Answer:

Step-by-step explanation:

Volume of a cone:

We have:

Substitute values and solve for h:

None of the choices is correct

Answer:

(-infinity,+infinity)

Step-by-step explanation:

Any real value of x can be defined with a unique output in this function.

Answer:

[tex]44 \frac{2}{15} [/tex]

Answer: y = 17x - 19

Step-by-step explanation:

17x + y = -19

Subtract 17 on both sides

Y= -19 - 17x

Then put it in y= mx + b

Y= -17x - 19

Answer:

y = -17x -19

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

17x+y = -19

Solve for y

y = -17x -19

Answer:

Step-by-step explanation:

So, first they spend $100

The next week, they spend 20% less than $100, so they spent $80 that week.

The 3rd week, they spend 3/4 of $80, so they spend $60 that week.

Finally, we add the spent money from the 3 weeks (100 + 80 + 60) and get $240. I hope this helps!

Answer: To solve a quadratic equation of the form ax^2 + bx + c = 0, there are several steps that Inga could use. Here are three options:

She could complete the square to rewrite the equation in the form (x + p)^2 = q.

She could use the quadratic formula: x = (-b +/- √(b^2 - 4ac)) / (2a).

She could factor the equation to rewrite it in the form (x + r)(x + s) = 0.

Option 1: Completing the square

To complete the square, Inga could add and subtract (b/2)^2 to the equation to get:

a(x^2 + bx + (b/2)^2) - (b/2)^2 = 0

Then, she could rewrite the equation in the form:

a(x + (b/2))^2 = (b/2)^2

Option 2: Using the quadratic formula

To use the quadratic formula, Inga could substitute the values of a, b, and c into the formula to get:

x = (-12 +/- √(12^2 - 4 * 2 * -3)) / (2 * 2)

= (-12 +/- √(144 + 24)) / 4

= (-

Step-by-step explanation:

The following is the proper response to this problem's inequality. The relationship between negative one fifth and negative two thirds is higher than or equal when y is bigger than or equal to three tenths.

In mathematics, an inequality is a link between two expressions or values that is not equal. Thus, inequality arises as a result of imbalance. An inequality in mathematics describes the connection between two values that are not equal. Many simple inequalities can be eliminated by modifying both sides until just the variables are left. However, a number of things lead to inequality: On both sides, divide or add negative values. Toggle between left and right.

Given

One fifth less is -1/5.

When a negative two thirds is added to a number, the result is -2/3x. Since the value is unknown, we refer to it as x.

The following is the sign for more than or equal inequality:

The inequality is therefore: -1/5 -2/3x.

So that it will be easier for us to isolate x:

2/3x ≥ 1/5

2x ≥ 3/5

x ≥ 3/10.

Since y is more than or equal to three tenths, the right answer for the inequality is: negative one fifth is greater than or equal to negative two thirds y.

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Answer:

350 is 87.5% of 400

350/400 = 87.5%

Answer:

Step-by-step explanation:

Hypotenuse = h

h^2 = 8^2 + 6^2

h^2 = 64 + 36

h^2 = 100

h = √100

h = 10

Hope that helps! :)

-Aphrodite

Answer: The equation Y-5 = -7/3(X-3) in standard form is:

3Y - 15 = -7X + 21

Step-by-step explanation:

Answer:

1.65

Step-by-step explanation:

you said one pound is $4.40

and that how much is 3/8 of a pound

so 3/8 multiplied by 4.40

Answer:

$1.65

Step-by-step explanation:

1 pound -------------4.40

3/8 pounds------------x

cross multiplication

1x = 4.40 x (3/8) =

x = 1.65

Answer:

31 hecause the èattern is adding 3

Step-by-step explanation:

Answer:

A. 1/18

Step-by-step explanation: