There is a lighthouse on top of a cliff. The light of the lighthouse is 200 feet above sea level. It can be seen on the deck of a ship that is 25 feet above sea level. If the angle of depression from the light of the lighthouse to the deck of the ship is 30 degrees, then how far from the cliff is the ship, to the nearest foot?

Answer:

329.5ft

Step-by-step explanation:

First one: ((4+18+26)x10)/2

Second: +(18x4)

Third: (7x5)/2

=240+72+17.5

=329.5

Here the picture, :D

The magnitude of the complex number -5 + 12i is 13 which we obtained by using formula, Magnitude [tex]= \sqrt{ a^2 + b^2}[/tex].

To find the magnitude of a complex number in the form of a+bi, where a and b are real numbers, the formula can be used is:

Magnitude = |a+bi|

[tex]= \sqrt{ a^2 + b^2}[/tex]

The  given complex number is -5 + 12i.

we have a = -5 and b = 12.

Plugging these values into the formula, we get:

Magnitude = | -5 + 12i |

[tex]= \sqrt{ (-5)^2 + 12^2}[/tex]

[tex]= \sqrt{ 25 + 144}[/tex]

[tex]= \sqrt{ 169}[/tex]

= 13

Therefore, the magnitude of -5 + 12i is 13.

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Answer:

Hope this helps

Step-by-step explanation:

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Answer:

First box: 15 * 10^10.

Second box: 300,000,000 meters per second.

Third box: 48 * 10^-13 meters.

Fourth box: 167 * 10^-29 meters.

Step-by-step explanation:

These should be correct! I put them in order from the top empty box to the bottom empty box!!!

Please mark brainliest if correct!!!

Answer:

Step-by-step explanation:

Answer:

The Y-axis intercept is 2

Step-by-step explanation:

Answer:

The y-intercept is 2

Step-by-step explanation:

Given: 3y=2x+6

Convert to y=mx+b form: y=2/3x+2

Therefore, the y-intercept is 2.

Answer:

Step-by-step explanation:

https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me

Answer:

Rate in still water = 48 mph.

Rate of current = 14 mph.

Step-by-step explanation:

Let the rate in still water be x and rate of the current be y miles per hour.

Upstream:

x - y = 102/3

Downstream:

x + y = 186/3

Adding the 2 equations

2x = 102/3 + 186/3 = 34 + 62

2x = 96

x = 48 mph.

So 48 - y = 34

y = 48 - 34 = 14 mph.

Answer:

Can't help you on an ASIT

Step-by-step explanation:

Answer:

a. H0: p1=p2 versus Ha: p1>p2

Step-by-step explanation:

Given that

p1 represent the proportion of the population for young allots 20-39

And, p2 denotes the proportion of the population for all older adults that are above 60

So,

We need to find out the hypotheses

The null & alternative hypothesis is

H_o: P_1 = P_2

H_a: P_1>P_2

This shows the right tailed test

Answer:

Length = 22.98 feet

Width = 9.66 feet

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Area of rectangle = 222 feet²

Translating the word problem into an algebraic expression, we have;

L = 3W - 6 ...... equation 1

We know that the area of a rectangle is given by the formula;

A = L * W

Substituting

222 = L * W ....equation 2

Substituting eqn 1 into eqn 2, we have;

222 = (3W - 6) * W

222 = 3W² - 6W

Rearranging the equation, we have;

3W² - 6W - 222 = 0

Next, we would use the quadratic formula to solve for the roots.

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 3, b = -6 and c = -222

Solving the quadratic equation using the quadratic formula;

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the equation, we have;

[tex] x = \frac {-(-6) \; \pm \sqrt {6^{2} - 4*3*(-222)}}{2*3} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - (-2664)}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 + 2664}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {2700}}{6} [/tex]

[tex] x = \frac {6 \pm 51.96}{6} [/tex]

[tex] x_{1} = \frac {6 + 51.96}{6} [/tex]

[tex] x_{1} = \frac {57.96}{6} [/tex]

x1 = 9.66

We do not need the negative value of x, so we proceed.

Therefore, Width, W = x1 = 9.66 feet

For the length;

L = 3W - 6

L = 3(9.66) - 6

L = 28.98 - 6

L = 22.98 feet

The percentage equivalent is 20.

Given,

Percentage .

Now,

Firstly calculate the fractional form,

193/965 = .2

Now to convert fraction into percentage , multiply by 100.

So,

0.2 * 100

= 20%

Thus 193 is 20% of 965 .

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Answer:

FV= $6,750

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the future value of the investment, we need to use the following formula:

FV= (P*r*t) + P

FV= (5,000*0.05*7) + 5,000

FV= 1,750 + 5,000

FV= $6,750

Answer:

y = x - 10

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope = 1

b is the y intercept = -10

Therefor

y = x - 10

Answer:

Answer:

1cm:20cm

Step-by-step explanation:

10cm:2m

1m=100cm

10cm:200cm

÷10

1cm:20cm

Answer:

E) 6

Step-by-step explanation:

a/b = 6

36/b = 6

6b = 36

b = 36/6 = 6

b/x = 36

6/x = 36

36x = 6

x = 6/36 = 1/6

hence 1/x = 6

Answer:

E) 6

Step-by-step explanation:

a/b=6, b/x=36, and a=36

=>a = 6b

36 = 6b => b =6

b/x = 36 => x = b/36 = 6/36

so, 1/x = 36/6 = 6

Answer:

OMG

Step-by-step explanation:

I had the same question

Answer:

$10.79

Step-by-step explanation:

x =  original cost of one t shirt

We can build this equation

x - (20/100) x + 3x- 5 = 36

-1/5x + 4x = 41

-x + 20x = 205

19x  = 205

x = $10.79

Answer:

the answer is 500ml

Step-by-step explanation:

1500/3=500

Answer:

Fish tanks come in all different sizes. I can't answer unless you tell me the dimensions (Length, width, height)

Step-by-step explanation:

Answer:

it's 99 .................

Answer:

40 mi

Step-by-step explanation:

a² + b² = c²

24² + 32² = c²

1600 = c²

√1600 = c

c = 40

Answer:

since you are helping me with my answer on my other account, cutiepatato about the discrimination

imma try my best to help answer yours <3

the picture is in the box

Step-by-step explanation:

Answer:

4/10

Step-by-step explanation:

2/5 times 2/2

Make sure To multiply with the SAME denominators and numerators.

I hope this helps!!

Answer:

6/15

Step-by-step explanation:

2/ 5 x 3/3 = 6/15

Note that to find equalivalent fractions multiply “BOTH” the numerator and the denominator

Answer:

Circumference of circle = 31.4 square meter

Step-by-step explanation:

Given:

Radius of a circle = 5 meter

Value of π = 3.14

Find:

Circumference of circle using formula "2πr"

Computation:

Circumference of circle = 2πr

By putting value of 'r' and 'π' in given formula

Circumference of circle = 2(3.14)(5)

Circumference of circle = (6.28)(5)

Circumference of circle = 31.4 square meter

Answer:

B D F are the binomials

Step-by-step explanation:

hope it helps

Answer:

Infinite solutions

Step-by-step explanation:

A linear equation is given to us and we need to tell the no. of solutions. The equation is ,

=> -2-5x = - ( 5x +2)

If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,

=> -(5x) -(+2)

=> -5x -2

=> -2 - 5x

This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .

Answer:

j

Step-by-step explanation:

h