4. A plane at an altitude of 10,000 feet is approaching an island. At a given moment, the angle of depression to the near side of the island is 56° and the angle of depression to the far side of the island is 24º. Determine the length of the island, in miles, as seen in the figure below. (8 points) Show all of your work, using correct mathematical notation, on a different piece of paper Answer the question in a complete sentence. Clearly define all of your variables. You may define your variables by labeling the picture or drawing appropriately. The abbreviations opp, adj, and hyp may not be used as variables.
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Answer:

rectangle

Step-by-step explanation:

Answer:  Rectangle

Step-by-step explanation: Hope this helps ! :)

Answer:

degree 3

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of the term within the polynomial.

4x²y = 4x²[tex]y^{1}[/tex] ← with exponent 2 + 1 = 3

x² ← exponent 2

- 2y² ← exponent 2

The term with the largest exponent is 4x²y with exponent 3

Then the polynomial is of degree 3

Step-by-step explanation:

Given

-2 [4 - 3x] + 5x - 2

= - 8 + 6x + 5x - 2

= 11x - 10

Hope it will help :)❤

Answer:

11x-10

Step-by-step explanation:

-8+6x+5x-2

11x-10

Answer:

148 degrees

Step-by-step explanation:

360 - 74 - 138 = 148 degrees

Answer:

1:4

Step-by-step explanation:

Since the first circle has an area of 50.24 and the second circle is 4 times that, the ratio is 1:4 because for every 50.24 units of the first circle, there are 200.96 units of the second circle (which is 4 times the amount of the first circle).

Answer:

34.41º

Step-by-step explanation:

0.93 times 9=8.37 degrees per minute

7 times 8.37=58.59

93-58.59=34.41

Answer:

100 miles

Step-by-step explanation:

Given data

let the number of miles driven be x

and the total charge for x miles be y

Hence the expression for the total charge is

Rapid Rental Car

charges a $55.00 rental fee plus $0.25 per mile driven.

y= 55+0.25x--------------1

Capital Cars charges a $45.00 rental fee and $0.35 per mile driven.

y= 45+0.35x--------------2

Equate 1 and 2

55+0.25x= 45+0.35x

collect like terms

55-45=0.35x-0.25x

10=0.1x

x= 10/0.1

x= 100 miles

Hence the mile is 100 miles

Answer:

He can buy no more than 4 earrings.

Step-by-step explanation:

25-9.50= 15.50

15.50÷3.75= 4.1333333

Answer:

Step-by-step explanation:

Answer:

Jacoby is correct.

Step-by-step explanation:

Shop A= $6 ÷ 2 = $3/pound

Shop B= $15 ÷ 5 = $3/pound

Step-by-step explanation:

Given - f(t)=110(1.35)^{\frac{t}{40}}

To find - Write the function in the form f(t)=ae^{kt}. Round all coefficients

               to four decimal places.

Proof -

Given that , the function is  f(t)=110(1.35)^{\frac{t}{40}}

Now,

We can write it in the form of  [tex]f(t) = 110(1.35)^{\frac{t}{40} }[/tex]

By comparing with the form  [tex]f(t) = ae^{kt}[/tex] , we get

a = 110.0000

k = [tex]\frac{1}{40}[/tex] = 0.0250

Answer:

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Answer:

x = 25.46

Step-by-step explanation:

[tex]x^2+9^2=27^2\\x^2+81=729\\x^2=648\\\sqrt{x^2} =\sqrt{648} \\x=25.46[/tex]

Answer:

x = 17

Step-by-step explanation:

corresponding interior angles are supplementary, meaning they have to add up to 180 degrees so

6x + 8 + 4x + 2 = 180°     then combine like terms ( 6x and 4x, 8 and 2 )

10x + 10 = 180         subtract 10 from both sides

        -10     -10

10x = 170            divide each side by 10

/10     /10

x = 17

Answer:

I'm sorry for not answering but have you got the answer to this question

Answer:

See Explanation

Step-by-step explanation:

Given [Missing Information]

[tex]Red = 12[/tex]

[tex]Blue = 10[/tex]

[tex]Green = 15[/tex]

[tex]Yellow = 13[/tex]

Way 1:

Add up the total marbles that are not red.

[tex]Not\ Red = Blue + Green + Yellow[/tex]

[tex]Not\ Red = 10 + 15 + 13[/tex]

[tex]Not\ Red = 38[/tex]

Divide by total marbles to get the probability;

[tex]Probability = \frac{Npt\ Red}{Total}[/tex]

[tex]Probability = \frac{38}{38 + 12}[/tex]

[tex]Probability = \frac{38}{50}[/tex]

[tex]Probability = 0.76[/tex]

Way 2:

Calculate the probability of choosing red

[tex]P(Red) = \frac{Red}{Total}[/tex]

[tex]P(Red) = \frac{12}{50}[/tex]

[tex]P(Red) = 0.24[/tex]

Apply complement rule (i.e. subtract it from 1)

[tex]P(Not\ Red) = 1 - P(Red)[/tex]

[tex]P(Not\ Red) = 1 - 0.24[/tex]

[tex]P(Not\ Red) = 0.76[/tex]

Answer:

xy-3x=40, x=5

x(y-3)=40

y-3=(40/x)

y=(40/x)+3

y=(40/5)+3

y=8+3

y=11

If the variables x and y vary inversely then when x=-3 and y =-8

Two or more expressions with an Equal sign is called as Equation.

Since x and y vary inversely, we can write the equation:

x y = k, where k is a constant of variation.

Using the given values, we can find k:

(-4)(-6) = k

k = 24

So the equation relating x and y is:

x y = 24

To find y when x = -3, we substitute x = -3 into the equation and solve for y:

(-3) y = 24

y = -8

Therefore, when x = -3, y = -8.

To learn more on Equation:

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Answer:

Mean

I'm gonna take a guess

Answer:

Find the area of each room and add the areas

Step-by-step explanation:

Please find the full question in the attached image

the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together

for example ,

dimension of room 1 = 5 x 3

dimension of room 2 = 2 x 3

dimension of room 3 = 4 x 5

area of room 1 = 15

area of room 2 = 6

area of room 3 = 20

total area = 15 + 6 + 20 = 41

Answer:

Step-by-step explanation (how to solve):

I hope this helps!

The value of x is 17

An equation between two variables that gives a straight line when plotted on a graph.

Given,

x represents a certain number

Number is multiplied by 3 = 3x

Adding 34 to the number = x+34

Given,

The number x is multiplied by 3 the result is the same as adding 34 to the number x​

Therefore

3x = x+34

3x-x =34

2x =34

x = 17

Hence, the value of x is 17

Learn more about Linear equation here

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Answer:

$10.25

Step-by-step explanation:

Set up a system of equations, so 3c + 2m = 7 and 2c + 4m = 8, where c = the cost of coffees, and m = cost of muffins

To solve multiply the first equation by -2(3c + 2m=7) so you get -6c -4m = -14 now add the two equations

-6c - 4m = -14

2c + 4m = 8   notice that -6c + 2c = -4c and -4m + 4m cancels, then -14+8=-6

so we have -4c = -6 so c = $1.50

To solve for m, substitute c = 1.50 so 3(1.50) + 2m = 7, so solve for m so

4.5 + 2m = 7, 2m = 2.5, so m = $1.25

So now solve the final problem 6(1.50) + 1(1.25) = $10.25

Answer:

a; 3.45 * 10^3

b) 2.34 * 10^18

c) 80%

Step-by-step explanation:

a) 3450 in standard form

To write in standard form, we have to place a decimal at the back of the first non-zero number

we have this as ;

3.450

The count of numbers after the decimal point is 3

This will be the power to which 10 will be raised

We have this as;

3.45 * 10^3

b) 234 * 10^16

Let us write 234 in standard form

That will be;

234 = 2.34 * 10^2

So we have ;

2.34 * 10^2 * 10^16

Using the law of indices, we have;

2.34 * 10^(2 + 16) = 2.34 * 10^18

c) From the question, Kuwait is 4/5 of Hong kong’s population

Let Honk Kong’s population be x

4/5 * x = 2.4 million

4x = 5 * 2.4 million

x = 5 * 2.4/4

x = 5 * 0.6

x = 3 million

so writing the population of Kuwait as a percentage of that of Hong kong, we have

2.4/3 * 100%

= 0.8 * 100% = 80%

Answer:

32

Step-by-step explanation:

Answer: I would find that the anwser would be, It requires only ½ the effort to lift the load because there is more than 1 rope arm.

Step-by-step explanation

Just took a test on this, I passed

Answer:

NO

Step-by-step explanation:

Either 3, 5 and 6 satisfy the Pythagorean Theorem or they do not.  Here we start with a^2 + b^2 = c^2 and substitute 6 for c (because 6 is the largest of the set):  Is 3^2 + 5^2 = 6^2?  9 + 25 = 36?  NO