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A cruise ship is 1480 feet from a light house off a Caribbean Island.
If the angle of elevation from the cruise ship to the top of the light
house is 4º, what is the height of the lighthouse? Round to the
nearest whole foot.

Answer:

2485.04

Step-by-step explanation:

Count the number of 20s in the given expression: 3

⇒ 3 × 20 = 60

Count the number of 25s in the given expression: 4

⇒ 4 × 25 = 100

Count the number of 40s in the given expression: 4

⇒ 4 × 40 = 160

Count the number of 50s in the given expression: 15

⇒ 15 × 50 = 750

Count the number of 60s in the given expression: 3

⇒ 3 × 60 = 180

Count the number of 80s in the given expression: 2

⇒ 2 × 80 = 160

Count the number of 100s in the given expression: 6

⇒ 6 × 100 = 600

Finally, there is one each of 125, 150, 200 and 0.04

To find the total, sum the numbers:

Total = 60 + 100 + 160 + 750 + 180 + 160 + 600 + 125 + 150 + 200 + 0.04

        = 2485.04

Answer:

2485.04

Step-by-step explanation:

I just used a caculcalculator

we're given that x is greater than 4 (the symbol ">" indicates "greater than)

5 is greater than 4. Let's plug it in :

|5-4|

|1|

1 (remember, absolute value is always positive).

Now let's try 6 :

|6-4|

|2|

2

hope helpful ~

Answer:

y = -1.4x + 16

Step-by-step explanation:

the slope is -1.4x

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

Plug in the values:-

[tex]\displaystyle\frac{9-2}{5-10}[/tex]

Simplify:-

[tex]\displaystyle\frac{7}{-5}= -\frac{7}{5}[/tex]

 [tex].~~~~~~~\uparrow\sf{Slope}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

1 2/3 = 1.66666

3/5 = 0.6

Step-by-step explanation:

Step-by-step explanation:

sin(0) is opposite over hypotenuse which in this case is 12/15

tan (0) is opposite over adjacent 12/9

you can simplify if you like to 4/5 and 4/3 if you want to.

sinØ

tanØ

Answer:

Hope the picture will help you. Make sure to mark my answer brilliant

Answer:

49ft²

Step-by-step explanation:

A=bh

A=bh=9.8·5=49

Let's do

★a²-b²=(a+b)(a-b)

Hence option D is correct

Answer:

The 4th answer is correct

Step-by-step explanation:

We know that,

( a - b ) ² = ( a + b ) ( a - b )

In the same way, let us solve this sum.

4b² - 9

2²b² - 3²

( 2b - 3 ) ( 2b + 3 )

Therefore, 4th answer is correct.

Answer:

B.

Step-by-step explanation:

After looking at the graph you see the coordinates in the table are equal to the coordinates on the graph

Answer:

multiple tasking them right

Answer:

results-driven

Step-by-step explanation:

Answer:

4 < x < 12

Step-by-step explanation:

Given:

[tex]\displaystyle \large{9|x-8| < 36}[/tex]

Divide both sides by 9:

[tex]\displaystyle \large{|x-8| < 4}[/tex]

Theorem:

For [tex]\displaystyle \large{|x-a| < b}[/tex], since absolute is less than a constant, the interval or solution is:

[tex]\displaystyle \large{-b < x-a < b}\\\displaystyle \large{-b+a < x < b+a}[/tex]

Therefore:

[tex]\displaystyle \large{|x-8| < 4 \to -4 < x-8 < 4}\\\displaystyle \large{-4+8 < x < 4+8}\\\displaystyle \large{4 < x < 12}[/tex]

Therefore, the solution is 4 < x < 12

Answer:

4 < x < 12

Step-by-step explanation:

9|x - 8| < 36

Divide both sides by 9:

|x - 8| < 4

Solution 1

(x - 8) < 4

Add 8 to both sides:

x < 12

Solution 2

-(x - 8) < 4

-x + 8 < 4

Subtract 8 from both sides:

-x < -4

Divide both sides by -1 (remembering to change the direction of the sign):

x > 4

Therefore, the solution to the inequality is   4 < x < 12

Answer:

the amount of space inside a shape composed of basic shapes put together.

Step-by-step explanation:

hope this helps.

The arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

The break even point is the point at which the cost of production of an item to produce is equal to the revenue generated after selling it.

Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Thus,

Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown in the following table.

It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Thus, the total AC sold is,

[tex]n=51+43+54\\n=148[/tex]

Now, the selling price is $142.50. Thus, the revenue after selling 148 units is,

[tex]R=148\times142.50\\R=21090[/tex]

The cost price is  $61.25. Thus, the cost of production of 148 units is,

[tex]R=148\times61.25\\R=9065[/tex]

Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. Suppose, Mary sells 43 units; Jay sells  units; Abby sells 54 units. Thus, the total cost,

[tex]C_t=7622.25++9065+43\times36.25 +51\times28.50 +54\times25.75\\ C_t=21090[/tex]

The total cost is equal to the total revenue. This point is break even point.

Thus, the arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

Learn more about the break even point here;

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Answer:

c.

Mary sells 43 units; Jay sells 51 units; Abby sells 54 units

Answer:

  86.7%

Step-by-step explanation:

For questions regarding values related to a normal distribution, a suitable calculator is required. Numerous calculators, apps, web sites, and spreadsheets are capable of answering this question.

__

One standard deviation above the mean is 327 +27 = 354, so the value is expected to be slightly more than 50% +34% = 84%. It is no surprise, then, that a calculator tells you 86.7% of the data is below 857.

_____

Additional comment

The "empirical rule" tells you 68% of the area is within 1 standard deviation of the mean. The distribution is symmetrical, so half that, 34%, is between the mean and 1 standard deviation above the mean. Of course, 50% of the data is below the mean.

Answer:

456*567=4890998

46766-6755=566888

Answer:

FGM and reproductive health

Answer:

231

Step-by-step explanation:

5 minutes + 15 seconds = 5.25 minutes
44 × 5.25 minutes = 231 copies

Answer:

y = (4/3)x

Step-by-step explanation:

Two points on the line are the origen (0, 0) and the given (9, 12).

Starting at the origin and moving to (9,  12), we see the change in x being 9 and that in y being 12.  Thus, the slope of the line through these two points is m = rise/run = 12/9 = 4/3.

Thus the equation of the line in slope-intercept form is y = (4/3)x + 0, or

just y = (4/3)x

Answer:

810 m

Step-by-step explanation:

Split the polygon into two parts

(Small and Big rectangle)

SR : 18(18+3) = 378

BR : 18(3+3+18) = 432

378+432 = 810

Hope this helps :)

Answer:

The cat is faster.

Step-by-step explanation:

Compare the animals' speeds in feet per second.

Rabbit:

feet/sec = 35/7

= 5ft/sec

Cat:

feet/sec = 18/2

= 9 ft/sec

9 ft/sec is faster than 5ft/sec.

The cat is faster.

In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.

Speed is the ratio of distance to time.

For Jada:

Speed = 2 miles / 12 minutes = 0.167 miles per minute

For Jada cousin:

Speed = 1 mile / 24 min = 0.0417 miles per minute.

Hence, in 15 minutes:

Jada distance = 15 min * 0.167 miles per minute = 2.5 miles

Jada cousin distance = 15 min * 0.167 miles per minute = 0.625 miles

In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.

Find out more on speed at: https://brainly.com/question/4931057

Answer: C

Step-by-step explanation:

635 - 356 = 279

279 + 506 = 785

         $785

Answer: TThere is no picture

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Scale factor is 5

So

Answer:

Points of kite JKLM:

J = (1, -2)

K = (2, -1)

L = (1, 2)

M = (0, -1)

To dilate a figure about a point, draw a line from the point to each point of the figure, then extend (or reduce) the line so that it is the length of the original line multiplied by the scale factor.

So to dialate JKLM about the origin by scale factor of 5, draw a line from (0, 0) to each point of the kite.  Extend the lines so that they are each 5 times the original lengths.  These are the dilated points

Points of kite dilated by sf 5 (shown in blue on the attached diagram):

J' = (5, -10)

K' = (10, -5)

L' = (5, 10)

M' = (0, -5)

Answer:

15÷86400=???×86400

Step-by-step explanation:

O 15 sendo dividido pelo 86400 dará o resultado e multiplicando o resultado com 86400

The surface area of the given figure is 90 feet².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

The given figure is a rectangular prism.

A rectangular prism consists of 4 rectangular lateral faces and 2 rectangular bases.

Surface area of the rectangular prism is the area of each of the faces.

Combining all these area, area of a rectangular prism can be found by the formula,

Area = 2 (lw + wh + lh)

where l is the length, w is the width and h is the height.

Given, l = 3 feet, w = 3 feet and h = 6 feet

Area = 2 [ (3 × 3) + (3 × 6) + (3 × 6)]

        = 2 (9 + 18 + 18)

        = 90 feet²

Hence the surface area is  90 feet².

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Answer: 7

Step-by-step explanation: