Find the Volume (look at the picture)

Question:

A boat is travelling at 30 mph has  a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.

a) Draw a labelled diagram of the situation

b) Determine the angle of elevation of the parasail rider

c) Parasailing boats traveling at the same speed will have the same angle of elevation

Answer:

a) Please find the attached drawing of the parasail boat created with MS Visio

b) The angle of elevation of the parasail rider from the boat is approximately 48.6°

Step-by-step explanation:

a) Please find the labelled diagram of the parasailing boat created with MS Visio

b) sing trigonometric ratios, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

The opposite leg = The height of the parasail rider above water = 300 ft.

The hypotenuse = the length of the tow line = 400 ft.

θ = The angle of elevation of the parasail rider

[tex]\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75[/tex]

θ = Arctan(0.75) ≈ 48.6°

The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°

c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,

Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same

Answer:

4

Step-by-step explanation:

By intersecting chords theorem:

[tex]12x = 3(x + 12) \\ \\ 12x = 3x + 36 \\ \\ 12x - 3x = 36 \\ \\ 9x = 36 \\ \\ x = \frac{36}{9} \\ \\ x = 4[/tex]

Answer: 38/9

Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).

Answer:

412.5

Step-by-step explanation:

If 1cm = 125 miles, then 3.3cm = 412.5

Answer:

320 adults and 120 children

Step-by-step explanation:

First set up two sets of equations. One will equal the total amount of money sold and the other will equal the total amount of tickets sold.

5a + 2.5c = 1900 where a is the # of adult tickets sold and c is the # of children tickets sold

a + c = 440

Now solve for either a or c in the second equation. I chose to solve for a. a=440-c

Use that to substitue into the other equation.

5 (440-c) +2.5c = 1900

2200-5c +2.5c = 1900

-5c+2.5c = -300

-2.5c=-300

c=120

Now plug 120 into the equation a+c=440 and solve for a

Answer: The answer is B,C, and D

Step-by-step explanation:

Answer:

75 gallons

Step-by-step explanation:

285/ 3.8= 75

so the the answer is 75

Answer:(1,2)

Step-by-step explanation:

The image of point P = (2, -1) is (1, 2)

For given question,

We have been given a point P = (2, -1)

We know that if point (x, y) is rotated 90 degrees counterclockwise about the origin then the coordinates of image is (-y, x)

So, when point P is rotated 90 degrees counterclockwise about the origin then the coordinates of the image would be (-(-1), 2) = (1, 2)

Therefore, the image of point P is (1, 2)

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Answer:

D

Step-by-step explanation:

It catches fire at or above. so greater than or equal to. so D

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

12=100+0.3x

-100  -100                        subtract 100 both side

-88=0.3x                 divide -88 into 0.3

x=-293.3

Answer:

x=9/80

Step-by-step explanation:

Answer:

9/80

Step-by-step explanation:

[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]

[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]

[tex]5)\ x = \frac{9}{80}[/tex]

Answer:

(-3,-5)

Step-by-step explanation:

Quadrant III is on the bottom left corner.

Answer:

answer is d

Step-by-step explanation:

hope it helps!!!

Answer:

It is C

Step-by-step explanation:

Answer:

$1.27 per song

Step-by-step explanation:

15 / 11.85 =   1.2658 -> rounded to $1.27

18 / 14.22 = 1.2658 -> rounded to $1.27

20 / 15.80 = 1.2658 -> rounded to $1.27

Answer:

4

Step-by-step explanation:

stem is the first number so it would just be all the numbers in the stem 3.

Answer:

Hey, read below!! :)

Step-by-step explanation:

Both sides are the same length. X = 70

Answer: 6 possible outcomes

Step-by-step explanation:

blue shirt - blue pants

blue shirt - black pants

black shirt - blue pants

black shirt - black pants

white shirt - blue pants

white shirt - black pants

6 outcomes

The total number of outcomes is given by the equation A = 6 outcomes

The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the number of outcomes be represented as set A

Now , the shirts be represented as set 1

The value of set 1 = { blue shirt , black shirt , white shirt }

The number of elements in set 1 = 3

The pair of pants be represented as set 2

The value of set 2 = { blue pair , black pair }

The number of elements in set 2 = 2

Now , the total number of possible outcomes A = number of elements in set 1 x number of elements in set 2

Substituting the values in the equation , we get

The total number of possible outcomes A = 3 x 2

The total number of possible outcomes A = 6 outcomes

Therefore , the value of A is 6 outcomes

Hence , the number of outcomes is 6

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The percentage increase from the initial population of 397,000 to 412,880 is 4%

From the question, we have the following numbers:

397,000 and 412,880.

The numbers are increments from 397,000 to 412,880.

The percentage increase is calculated as:

%Percentage = (Old number - New number)/Old Number

Substitute the numbers in the above equation

%Percentage = (412880 - 397000)/397000

Evaluate the difference

%Percentage = 15880/397000

Evaluate the quotient

%Percentage = 0.04

Express 0.04 as percentage

%Percentage = 4%

Hence, the percentage increase from the initial population of 397,000 to 412,880 is 4%

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Answer:

60x^15y^5

Step-by-step explanation:

60x to the power of 15 times y to the power of 5

Hope this helps!

Answer: 23 cm

Step-by-step explanation:

Given

[tex]a=3.5\ cm\\b=9.4\ cm[/tex]

Triangle in the figure is right-angled triangle. Therefore, Pythagoras theorem can be applied. Suppose the unknow length of the triangle is x

[tex]\Rightarrow x^2=a^2+b^2\\\Rightarrow x^2=3.5^2+9.4^2\\\Rightarrow x^2=12.25+88.36\\\Rightarrow x^2=100.61\\\Rightarrow x=10.03\ cm[/tex]

The perimeter of triangle is the sum of the lengths of sides.

[tex]\text{Perimeter }P=3.5+9.4+10.03\\\Rightarrow P=22.93\ cm\approx 23\ cm[/tex]

Answer: X<Y, X>0

Because -4 is less than 0 and -4 is greater than 0

Answer:

I think 3.

Step-by-step explanation:

You make a right triangle, an isosceles, and a scalene. You can't make an equilateral, because those sidelengths are not the same size.

Answer:

Step-by-step explanation:

make the other half of the triangle on top one and then you make another triangle out of the bottom one and make the other half so you just want to put  a line from one line on the right side to the bottom line so then you just need  do the same thing on the left side

Answer:

Non-isosceles Trapezoid: "0" (No) number of lines of symmetry

Rotational symmetry order: 0 , Rotational Symmetry angle: none

Step-by-step explanation:

Non-isosceles Trapezoid: "0" (No) number of lines of symmetry

Rotational symmetry order: 0 , Rotational Symmetry angle: none

Answer:

0.4 or 2/5

Step-by-step explanation:

Answer:

1,50 2,100 4,150 8,400

Step-by-step explanation:

multiply each number by the time (days)

Answer:1,50 2,100 4,200 8,400

Step-by-step explanation:

If 1=50 then 2=100 just repeat that easy