Nicole shines a light from a window of a lighthouse on a cliff, 175 feet above the water level.
Nick, 10 feet above the water level in a ship off shore, finds that the angle of elevation of the light is 5; Find the length of the line of sight (light beam) from the ship to Nicole. Round to the
nearest tenth.

According to given information the correct answer is [tex]$t =[/tex] [tex]\frac{5}{4}$[/tex] seconds.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), with the expression on the left side equal to the expression on the right side. The equals sign indicates that the two expressions have the same value for some or all values of the variables involved.

The equation that gives the height [tex]($S$)[/tex] of the ball at time [tex]($t$)[/tex] is:

[tex]$$S = 140 + 128t - 16t^2$$[/tex]

To find the time [tex]($t$)[/tex] when the ball is at a certain height, we can set the equation equal to that height and solve for [tex]t$.[/tex]

For example, if we want to find the time when the ball is at a height of 200 feet, we would set [tex]$S = 200$[/tex] and solve for [tex]t$:[/tex]

[tex]$$200 = 140 + 128t - 16t^2$$[/tex]

Rearranging and simplifying, we get:

[tex]$$16t^2 - 128t + 60 = 0$$[/tex]

Dividing both sides by 4, we get:

[tex]$$4t^2 - 32t + 15 = 0$$[/tex]

We can solve for [tex]$t$[/tex] using the quadratic formula:

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

where  [tex]a = 4$, $b = -32$,[/tex]  and  [tex]c = 15$.[/tex]

Plugging in these values, we get:

[tex]$$t[/tex] = [tex]\frac{-( -32) \pm \sqrt{(-32)^2 - 4(4)(15)}}{2(4)}$$[/tex]

Simplifying, we get:

[tex]$$t =[/tex] [tex]\frac{32 \pm \sqrt{484}}{8}$$[/tex]

[tex]$$t =[/tex][tex]\frac{32 \pm 22}{8}$$[/tex]

Therefore, the possible values of [tex]$t$[/tex] are:

[tex]$$t =[/tex] [tex]\frac{7}{2} \quad \text{or} \quad t = \frac{5}{4}$$[/tex]

Since the ball is thrown upward, the time when the ball is at a height of 200 feet is the time it reaches the height of 200 feet on its way up, not on its way down.

Therefore, according to given information the correct answer is [tex]$t =[/tex] [tex]\frac{5}{4}$[/tex] seconds.

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The area of the triangle ABC is (c) 36√3 square units

From the question, we have the following parameters that can be used in our computation:

Side length, l = 12 units

Triangle type = Equilateral triangle

The side lengths of an equilateral triangle are congruent, and the area of a triangle is equal to half of the product of the base and the height of the triangle.

Using the above as a guide, we have the following:

Area = 1/4√3 * l^2

Substitute the known values in the above equation, so, we have the following representation

Area = 1/4√3 * 12^2

Evaluate

Area = 36√3

Hence the area is 36√3

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there are 3 cups of lemonade in each cup

The exponential equation that models the population of Lime County would be: y = 711,500(0.979)^x

We can use the information from the question. When Leslie moved to Lime County, the population was 711,500, i.e.:

Let's then use this information to set up two equations:

Let's now substitute the value of a into the second equation:

Therefore, we find the exponential equation that models the population of Lime County, which is:

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Answer: Your welcome!

Step-by-step explanation:

a. Yes, this makes a triangle. It is an acute triangle.

b. Yes, this makes a triangle. It is an acute triangle.

c. Yes, this makes a triangle. It is an obtuse triangle.

d. No, this does not make a triangle. The side lengths do not add up to more than the other two sides combined.

e. Yes, this makes a triangle. It is an obtuse triangle.

Answer: Its C

Step-by-step explanation:

Answer: 36

Step-by-step explanation: plug in 3 for n.

40-2(2)= 36

Answer:

Option 4 4/9

Step-by-step explanation:

Sure! Tidal energy is a type of renewable energy that is harnessed from the movement of ocean tides. There are different approaches to harnessing tidal energy, but the three options given in the question are:

I. Floating platform with turbines: This approach involves anchoring a floating platform in the tidal zone, where the rise and fall of the tides can be used to turn turbines and generate electricity. The turbines are connected to generators, which convert the mechanical energy of the turning turbines into electrical energy. This approach is commonly used in commercial tidal energy projects, such as the MeyGen tidal energy project in Scotland.

II. Floating ship with turning pendulum: This approach, also known as the "pendulor" or "pendulum" system, involves a floating ship or barge that is anchored in the tidal zone. The ship is designed to swing back and forth with the movement of the tides, and this movement is used to turn a pendulum, which in turn drives a generator. The idea behind this approach is that the ship's movement can be used to generate more energy than just the up-and-down motion of a floating platform with turbines. However, this approach is still in the experimental phase and has not yet been deployed on a commercial scale.

III. Having water spin turbines attached to fence: This approach involves installing turbines directly in the flow of tidal currents. The turbines are attached to a fence-like structure, which guides the flow of water and increases the speed of the current as it passes through the turbines. The spinning turbines generate electricity, which is then sent to a generator and converted into usable power. This approach is also known as "barrage" or "fence" technology, and it has been used in a few commercial tidal energy projects, such as the La Rance tidal power plant in France.

So, to answer the question, the correct answer is "I and III" since both involve using turbines to generate electricity from the movement of ocean tides.

Floating platform with turbines and Having water spin turbines attached to fence best  describes an approach used to harness tidal energy.

Energy is the capacity to do work

The approach used to harness tidal energy is described by option I and III.

I. Floating platform with turbines - This involves placing turbines on floating platforms that are anchored to the seabed.

As the tide comes in and out, the water flows through the turbines, generating electricity.

III. Having water spin turbines attached to fence - This involves building a fence-like structure across a tidal inlet.

As the tide comes in and out, the water flows through the fence and spins turbines, generating electricity.

Option II, floating ship with turning pendulum, does not describe an approach used to harness tidal energy.

Therefore, floating platform with turbines and having water spin turbines attached to fence best  describes an approach used to harness tidal energy.

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The boulder's maximum height is 242.6 feet.

It takes the boulder 3.79 seconds to reach its maximum height

Motion is the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed.

here, we have,

From the question, we are to determine the maximum height of the boulder

First, we will calculate the time it took the boulder to reach its maximum height

Using the formula,

v = u - gt

Where v is the final velocity

u is the initial velocity

g is the acceleration due to gravity (g = 32.1741 ft/s²)

and t is the time

From the given information

u = 122 ft/s

At maximum height, v = 0 ft/s

Putting the parameters into the equation, we get

0 = 122 - 32.1741t

32.1741t = 122

t = 3.79 s

This means it takes the boulder 3.79 seconds to reach its maximum height.

Now, substitute the value of t into the function that gives the height of the boulder

From the given information,

The height of the boulder is given by

H(t)= -16t² + 122t + 10

Then,

H(3.79) = -16(3.79)² + 122(3.79) + 10

H(3.79) = -229.8256 + 462.38 + 10

H(3.79) = 242.5544

H(3.79) ≅ 242.6 ft

Hence, the boulder's maximum height is 242.6 feet.

It takes the boulder 3.79 seconds to reach its maximum height

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Answer:

3.5?

Step-by-step explanation:

sorry that's all i can do..

Answer: 3.5714286e^-10 or 0.00000000035714286 or 3.5714286 × 10^-10

Step-by-step explanation:

First, we divide 0.0001 by 28, which equals 3.5714286e-6.

And since we added 4 zeros to the equation, the negative (e) will be pushed by -4. So, it should look like this: 3.5714286e-10, and the equation is complete.

Answer:

I think z>1.5 because it is not bold and underlined

The trigonometric ratio for the cosine of the angle W derived as 48.18712, is equal to 0.6667.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

cos W = 10/15 {adjacent/hypotenuse}

cos W = 2/3

W = cos⁻¹(2/3) {cross multiplication}

W = 48.18712

cos W = cos 48.18712

Therefore, the cosine of the angle W is equal to using the trigonometric ratio.

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Answer:

Any series of temperatures between -4° and 4° could occur during the day, as long as they stay within that range. For example, the temperature could start at -3°, then rise to 1°, fall to -2°, and rise again to 3°, and so on. Another example could be the temperature staying constant at 0° throughout the day. Therefore, there are many possible series of temperatures that could occur during the day, as long as they stay within the given temperature range.

The equation that shows the total cost of renting the car from the company is y = 0.45x + 20

An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.

Let y represent the total cost of renting a car from a company and travelling x miles.

The rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car, hence:

y = 0.45x + 20

The equation is y = 0.45x + 20

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Given:-

[tex] \: [/tex]

[tex] \: [/tex]

Solution:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

Therefore , the value of x is 6 !

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer: three million eight hundred eleven thousand four hundred fifty nine

1 000 000 = million

100 000 = hundred thousand

10 000 = ten thousand

1 000 = one thousand

100 = one hundred

10 = ten

1 = one

When I would look at questions like this I would use this chart and replace the numbers and I found that this really helped

The variable b is greater than 2

The graph (see attachment) represents the given parameter

The function g is given as

g(x) = a * b^x -- the red line

Using the points on the graph, we have

b = 12/3

b = 4

So, b is greater than 2

In (a), we have

g(x) = a * b^x -- the red line

Where

a = g(x) when x = 0

So, we have

a = 3

The function becomes

g(x) = 3(4)^x

Based on the function definitions, the intersecting of f and g represent the year when the organizations have the same number of followers

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The required container can hold approximately 1570.8 cubic inches of soil.

By enclosing units in containers—that is, by circling, boxing, or otherwise enclosing units—container numbers indicate magnitude. The worth of each container's contents is multiplied by the number system's fundamental unit. Typically, the basis is either 2 or 10 (the decimal system) (the binary system).

To find the volume of the container, we can use the formula for the volume of a cylinder:

[tex]$$ V = \pi r^2 h $$[/tex]

where r is the radius of the base (half the diameter) and $h$ is the height of the cylinder.

In this case, the diameter of the container is 10 inches, so the radius is half that, or 5 inches. The height is given as 20 inches. Substituting these values into the formula, we get:

[tex]$$ V = \pi (5\text{ in})^2 (20\text{ in}) = \pi (25\text{ in}^2)(20\text{ in}) \approx 1570.8 \text{ in}^3 $$[/tex]

Therefore, the container can hold approximately 1570.8 cubic inches of soil.

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Complete question:

Thomas loves tomatoes he plans to fill the container with soil to grow his own tomato plant the diameter of the container is 10 inch and height 20 inch how much soil will the container hold.

Therefore , the solution of the given problem of equation comes out to be x has a value of 4.

The equation y=mx+b is the basis of a linear regression model. B is the slope, and m is the y-intercept. The aforementioned sentence is repeatedly alluded to as a "math problem with two variables," despite the fact that y and y are distinct parts. In bivariate linear equations, there are only two variables. The application regions for linear equations have no definitive solutions.

Here,

We could use segment addition principle to write: since B is situated between A and C.

=> AB + BC = AC

Inputting the numbers provided yields:

=> -3 + 6x = 3x - 3 + 9

When we simplify the solution, we get:

=> 6x - 3x = 9 + 3

=> 3x = 12

=> x = 4

Consequently, x has a value of 4.

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Answer:

18 dollars

Step-by-step explanation:

he is left with 8 dollars. He buys one granola bar (2), one smoothie (3), and one sandwich (5).

This means that he has spent 2 dollars, 3 dollars, and 5 dollars, which totals  10 dollars (2 + 3 + 5 = 10). He is left with 8 dollars, so we know that he originally had 18 dollars because 10 + 8 = 18.

Answer:

Step-by-step explanation:

I first move the dot left by 4 by counting them. Then move it down by 2.

Answer: So What you want to do is Move left 4 and down 2, then do it again

Step-by-step explanation:

Answer: Isaac is unfortunately incorrect.

Step-by-step explanation: We want to determine if -2(3x-5)=-6x-10. We can apply the distributive property to the parentheses on the left side of the equation to see if this statement is true.

-2(3x-5)=-2*3x+-2*-5=-6x+10

The left side simplifies to -6x+10 which is not equivalent to -6x-10.

Hope this helps!

The measure of angle WUX is 78⁰.

option D.

The measure of angle WUX is calculated by applying the following triangle principles.

∠ VUX  + ∠VXU = 90 ( complimentary angles )

7x + 11 + 11x + 7 = 90

18x + 18 = 90

18x = 72

x = 72/18

x = 4

The measure of angle VXU is calculated as;

∠VXU = 11x + 7

= 11 x 4    + 7

= 51⁰

The measure of angle UWV is calculated as;

∠ UWV = 6x + 27

= 6 x 4   +  27

= 51⁰

The measure of angle WUX is calculated as;

∠ WUX = 180 - ( 51 + 51 ) ( sum of angles in a triangle )

∠ WUX = 180 - 102

∠ WUX = 78⁰

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Answer: The equation x = 7y + 2 is a linear equation in two variables, x and y. To find ordered pairs of x and y that satisfy this equation, we can choose values of y and then solve for x.

For example, if we choose y = 0, then:

x = 7y + 2

x = 7(0) + 2

x = 2

Therefore, the ordered pair (2, 0) satisfies the equation x = 7y + 2.

Similarly, if we choose y = 1, then:

x = 7y + 2

x = 7(1) + 2

x = 9

Therefore, the ordered pair (9, 1) satisfies the equation x = 7y + 2.

We can continue in this manner to find more ordered pairs. However, note that there are infinitely many ordered pairs that satisfy this equation, as the equation represents a line with a slope of 7 and a y-intercept of (0, 2). Therefore, we can choose any value of y and obtain a corresponding value of x that satisfies the equation.

Step-by-step explanation:

In a working week of 40 hours, 120 articles A and 60 articles B will be produced.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, 'a' be the number of articles A produced and 'b' be the number of articles B produced.

Therefore, From the given information the equation can be modeled as,

12a + 16b = 60×40.

12a + 16b = 2400, and a = 2b.

12×2b + 16b = 2400.

24b + 16b = 2400.

40b = 2400.

b = 60 and hence a = 120.

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Answer:

f (3) = 142

Step-by-step explanation:

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Answer:

your ans please mark me brainiest

Answer:

Once you have the cable, it will be simple to connect your phone to your laptop. On your phone, go to Settings and then the System page. Scroll down until you find the section entitled “OTG storage,” and turn on the option. When you connect the USB OTG cable to the physical keyboard, you will be able to use the keyboard to type on your phone.

Step-by-step explanation:

Answer:

Step-by-step explanation:

XDXDXDXDXDXDXDXDXD get rick rolled

Answer:

48.2 degrees

Step-by-step explanation:

look at photo