A navigator on a boat measures the angle between the course of the boat and the lighthouse on shore to be 70 degrees. After the boat has traveled 3000 m, the navigator measure the angle to be 100 degrees. How far, to the nearest metre, was the boat from the lighthouse at the time of the first sighting?

Answer:

Option C: 74 is both a whole number and a rational number.

Step-by-step explanation:

A rational number is defined as a number which can be written as a fraction of two integers, an integer, a whole number and a natural number. The integer could be positive or negative.

Examples include -1/4, 1/2, 12

So it's obvious that the given number of 74 is a rational number.

Now, a whole number is simply a non - negative integer.

An integer is a number that is not a fraction.

Thus, examples of whole numbers are 0, 1, 2, 3, 4...

So 74 is clearly a whole number.

Therefore, we can conclude that 74 is both a whole number and a rational number.

Answer:

5.5

hope this helped!!!!!

Answer:

1.) Without compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year term.

2.) Using the compounded interest formula, you will earn $22883.01 after the 7 year term.

3.) Because of the negative interest, the compounded amount is only $695,929.30.

4.) Putting money in a saving account is saving money with a lower earning compared to investments. Investments have the higher potential of earning more than just having a basic savings account.

Step-by-step explanation:

If you don't have compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year plan.

Answer: 4/5

Step-by-step explanation:

Answer:

[tex]\%\ Increase = 175 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 4[/tex]

[tex]New = 11[/tex]

Required

Determine the percentage increase

This is calculated using the following formula:

[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]

[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]

[tex]\%\ Increase = 1.75 * 100\%[/tex]

[tex]\%\ Increase = 175 \%[/tex]

Answer:

BA = 11

Step-by-step explanation:

CB + BA = CA , substitute values

7x - 2 + 5x + 1 = 23, that is

12x - 1 = 23 ( add 1 to both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Thus

BA = 5x + 1 = 5(2) + 1 = 10 + 1 = 11

Answer:

[tex]\frac{32}{33}[/tex]

Answer:

Domain 1,3,5,7,9,11

Range 5,6,7,8,9,10

Answer:

14.5 hours/14 hours 30 minutes

Step-by-step explanation:

Answer:

g(1) = 0

There is a remainder of 10 so you can automatically cross out 3 and 4.

When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0

The given equation is:

[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0

Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]

Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0

Learn more here: https://brainly.com/question/24437791

−6x+7x+4x-3x-3y-2x+4x

−6x+7x+4x-3x-2x-+4x-3y

4x-3y

:)

Answer:

6

Step-by-step explanation:

Big brain

Answer:

i think the answer is 55.

Step-by-step explanation:

220 divided by 4 = 55.

Answer:

i don t think i completely understand but they drive 55 miles every hour

Step-by-step explanation:

if this is not your question plz clarify so i can help :)

The answer is 2,419.69

Answer:

d

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Answer:

47 DEGREES

Step-by-step explanation:

AOB + BOC = 180 (STRAIGHT LINE)

THEREFORE

(3x + 124) + (6x + 29)  = 180

9x + 153 = 180

9x = 27

x = 27/9

x = 3

THEREFORE

6x + 29

(6*3) +29

18 + 29

47 DEGREES = BOC

Answer: 5:8

Step-by-step explanation:

Given: Total animals in the pet store = 40

Number of animals that are puppies= 15

Number of animals that are not puppies= 40-  15 = 25

Now , the ratio of A to B = [tex]\dfrac{A}{B}[/tex] or A : B.

So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = [tex]\dfrac{25}{40}[/tex]

Divide numerator and denominator by 5 , we get [tex]\ \ \ \dfrac{5}{8}[/tex].

Hence, the required ratio = 5:8

Answer:

100km per hour

Step-by-step explanation:

16/16= 1 hour

1600/16= 100

Answer:

Horses can sleep both lying down and standing up.

Step-by-step explanation:

Answer:

Option A: f(x) = log_0.98 (n/74)

Step-by-step explanation:

We are told that that the number of species is decreasing by 2% per year.

Thus, number of species each year is 98% or 0.98 of number of species the previous year. .

We are told that there are currently 74 species of amphibians in the rain forest.

Thus, n/74 will represent a fraction of the current number of species.

Thus, the logarithmic function that models the time can be written as;

f(x) = log_0.98 (n/74)

Answer:

A. f(n) = log0.98(n/74)

(got it right on edmentum)

Answer:

y = -2/37x + 18/37

Step-by-step explanation:

2x + 37y = 18

-2x            -2x

37y = -2x + 18        (Divide 37 on both sides)

Y = -2/37x + 18/37

Answer:

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction

Step-by-step explanation:

Answer:

A. 6

Step-by-step explanation:

6/1 = 6

Answer:

16.16.16

Step-by-step explanation:

please let me know if I'm wrong

but I learned that you don't do 4×2 you have to multiply 4 twice by itself so it would be 16 because 4×4=16

Answer:

2

Step-by-step explanation:

Divide 45 and 3, then divide 26 and 2. subtract those answers and u get 2. (the dude that said your mom has no life and got his mom raped)

Grason's Bike is 2 miles/hour faster than Maya's if Grayson biked 45 miles in 3 hours. Maya bikes 26 miles in 2 hours.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

Grayson biked 45 miles in 3 hours. Maya bikes 26 miles in 2 hours.

As we know,

The speed = distance/time

Plug the respective values in the above formula:

For Grayson:

speed = 45/3 = 15 miles/hour

For Maya:

speed = 26/2 = 13 miles/hour

Difference in speed = 15 - 13 = 2 miles/hour

Thus, Grason's Bike is 2 miles/hour faster than Maya's if Grayson biked 45 miles in 3 hours. Maya bikes 26 miles in 2 hours.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ2

Answer:

A.

Step-by-step explanation:

It is the final step when doing math like that.

Answer:

0.25

Step-by-step explanation:

Answer:

0.1, 0.21, 0.28, 0.35, 0.38, 0.49, 0.51, 0.54, 0.60, 0.62.