if a 65 ft flagpole casts a shadow of 30 ft. Long, What if the angle of elevation of the sun from the tip of the shadow? (with solution)​

(a) The community will use approximately 1.21449 billion units of electricity 5 years from now.

(b) It will take approximately 35 years for the consumption to double.

(a) To calculate the electricity consumption of the community 5 years from now, we need to apply the annual growth rate of 2% to the current consumption of 1.1 billion units.

The formula to calculate the future value with a constant growth rate is:

Future Value = Present Value * (1 + Growth Rate/100)^Number of Years

Let's calculate the future value:

Future Value = 1.1 billion * (1 + 2/100)⁵

Future Value = 1.1 billion * (1.02)⁵

Future Value ≈ 1.1 billion * 1.10408

Future Value ≈ 1.21449 billion

Therefore, the community will use approximately 1.21449 billion units of electricity 5 years from now.

(b) To find the number of years it will take for the consumption to double, we need to determine the time it takes for the initial consumption to increase by 100% or multiply by 2.

Let's set up the equation:

Future Value = Present Value * (1 + Growth Rate/100)^Number of Years

2 * Present Value = Present Value * (1 + 2/100)^Number of Years

Dividing both sides by Present Value:

2 = (1 + 2/100)^Number of Years

Taking the natural logarithm of both sides:

ln(2) = Number of Years * ln(1 + 2/100)

Number of Years = ln(2) / ln(1 + 2/100)

Using a calculator, we can determine the approximate value of Number of Years:

Number of Years ≈ 34.66

Therefore, it will take approximately 34.66 years for the consumption to double. Rounded to the nearest year, it will take about 35 years.

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Answer:

regular price

Step-by-step explanation:

regular price

Answer:

P represents the usual price of a sandwich

The constant (1.5) represents the discount

Step-by-step explanation:

Answer:

A = 50.24m

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THANK YOU.

I don't think anyone can, that's the wrong pic

Answer:

im pretty sure its d

Step-by-step explanation:

Answer:

D would be the correct answer.

have a blessed day

Step-by-step explanation:

The total distance the object will fall in 6 seconds is 176 feet.

From the information, the distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third.

In this case, the arithmetic sequence will be represented by:

= a + (n - 1)d.

where a = first term = 16

n = number of terms = 6

d = common difference = 48 - 16 = 32

The 6th term will be:

= a + (n - 1)d.

= 16 + (6 - 1)32

= 16 + (5 × 32)

= 16 + 160

= 176

The distance is 176 feet.

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Let x be the number of players the team can bring to the tournament. Members of a soccer team raised $1719 to go to a tournament. They rented a bus for $1051.50 and budgeted $44.50 per player for meals.

According to the problem statement, $44.50 was budgeted per player for meals. Then the total amount budgeted for meals will be $44.50x. Subtracting the amount spent on the bus rental, we can set up the following equation:$$1719 = 44.5x + 1051.50$$.

Subtracting 1051.50 from both sides gives us

$$1719 - 1051.50 = 44.5x$$ Therefore,

$$668.50 = 44.5x$$ Finally, we can solve for x by dividing both sides by 44.5:$$\frac{668.50}{44.5} = x$$$$x

= 15$$ Therefore, the team can bring 15 players to the tournament.

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Answer:

- \(\sqrt{5}\)

Step-by-step explanation:

using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

simplifying radicals

\(\sqrt{20}\)

= \(\sqrt{4(5)}\)

= \(\sqrt{4}\) × \(\sqrt{5}\)

= 2\(\sqrt{5}\)

and

\(\sqrt{45}\)

= \(\sqrt{9(5)}\)

= \(\sqrt{9}\) × \(\sqrt{5}\)

= 3\(\sqrt{5}\)

Then

4\(\sqrt{20}\) - 3\(\sqrt{45}\)

= 4(2\(\sqrt{5}\) ) - 3(3\(\sqrt{5}\) )

= 8\(\sqrt{5}\) - 9\(\sqrt{5}\)

= - \(\sqrt{5}\)

Answer: distance 1min = 10in

In 1 minute the snail travels 10 inches  

In 2 minute the snail travels 20 inches

In 3 minute the snail travels 30 inches

In 4 minute the snail travels 40 inches

In 5 minute the snail travels 50 inches

y=10x

Answer:

268 in²

Step-by-step explanation:

The surface area is basically the entire area of the figure. You can do it multiple ways, but this is how I did it. I found the area of each side and added them all together. There are three sets of identical sides. First, we'll calculate the area of the side with lengths 10" and 8".

10 · 8 = 80

There are two of these sides, so currently we have 80 + 80.

Next, the area of the sides with lengths 8" and 3". These are the sides at the top and bottom.

8 · 3 = 24

So to our equation we now have 80 + 80 + 24 +24.

For the final two sides, we have the dimensions 10" and 3".

10 · 3 = 30

To our equation, we add this to get 80 + 80 + 24 + 24 + 30 +30.

Add all these numbers together for 268.

In the correct form, we add the square symbol to show that we are talking about area. The answer is 268 in². Good luck :D

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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the correct number line is the third one (the oe you already marked as the correct answer).

First, let's try to estimate the square root of 24.

We know that 5*5 = 25

Which means that √25 = 5, then √24 ≈ 5

Also note that 4*4 = 16, then √16 = 4

Clearly, we can see that √24 will be closer to 5 than to 4, then:

√24 > 4.256

This means that the square root of 24 should be at the right of 4.256.

Now, getting the exact value:

√24 = 4.9

Then we conclude that the correct number line is the third one (the oe you already marked as the correct answer).

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The Euclidean Parallel Postulate is proven from the Converse of the Alternate Interior Angle Theorem in Hilbert's plane and vice versa. To prove this statement, it is necessary to show that the alternate interior angle theorem's converse is valid, which implies that Hilbert's parallel postulate is true.

That is, two lines, l and m, in the Euclidean plane are parallel if they do not intersect, and given a point P that is not on l, there is a unique line m that goes through P and is parallel to l. That is, given two lines cut by a transversal such that a pair of congruent alternate interior angles is formed,

the lines are parallel. We will prove this statement by contradiction.Assume two lines, l and m, intersected by a transversal, t, have a pair of congruent alternate interior angles (i.e., ∠1 ≅ ∠2 and ∠3 ≅ ∠4 in the figure below) such that l and m are not parallel.

Draw a line through P that intersects m and n at C and D, respectively. Then, by the Exterior Angle Theorem, ∠BPC ≅ ∠DPC and ∠CPA ≅ ∠DPB. Hence, ∠CPA ≅ ∠DPB, which is impossible since CP is not collinear with PD by construction. Thus, this case cannot occur, and m = n. Therefore, there is only one line through P that is parallel to l, and Hilbert's Euclidean parallel postulate holds.

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Answer: 672.6410

i'm not kidding this the answer

Answer:

0.08

Step-by-step explanation:

2 / 25 = 0.08

0.08 is the answer.

Answer:

0.08 is the answer

Step-by-step explanation:

divide 2 by twenty five

Answer:

D is the answer  (4x - 1)(4x + 1)

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Have a great day, be safe and healthy

Thank u  

XD

Answer:

Can I have more information please? ...Or a Picture?

Step-by-step explanation:

Only then, can I edit this and give you an actual answer...

Solve the system of Equations:

Using the graphical method, plot the system of equations on the same graph as shown below:

The solution to the system of equations is the point of intersection of the graphs.

From the graph, the solution is:

Answer:

13a + 6b

Step-by-step explanation:

Given

(a + 3b) + 3(4a + b) ← distribute parenthesis

= a + 3b + 12a + 3b ← collect like terms

= 13a + 6b

Answer: 13a+3b+18

Step-by-step explanation:

First distribute the 3 to 4a+b

Then you get 12a+18

Add 12a+18 with a+3b

The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\)

The missing information, not present in this question are:

Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.

Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.

Thus, we get:

\(\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\\)

Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

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Answer:

option B

Step-by-step explanation:

Answer: Slope = 3/2 or 1.5

Answer: y= 1.5 x+2 or y=3/2x+2

Step-by-step explanation:Slope (m) =

ΔY

ΔX

=

3

2

= 1.5

θ =

arctan( ΔY )

ΔX

= 56.30993247402°

ΔX = 4 – 2 = 2

ΔY = 8 – 5 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

y = 1.5x + 2

or

y =

3 x

2

+ 2

When x=0, y = 2

When y=0, x = -1.3333333333333

Answer:

100ft I'm not completely sure but

Step-by-step explanaon                                                                                                                    5x5=25 2x2=4 25x4=100    

Step-by-step explanation:

hope this helps. I worked out then posted.

The slope of a line does not necessarily correspond to the true rate constant, k. The slope of a line in a plot of ln([A]t/[A]0) vs time is equal to -k, but this is only true under certain conditions, such as when the reaction is first-order with respect to reactant A.

In general, the slope of a line can only give an estimate of the rate constant. The expression that the slope equals is dependent on the specific plot and reaction conditions.

The slope of the line does not necessarily correspond to the true rate constant, k, directly. This is because the relationship between the slope and the rate constant depends on the order of the reaction.

For a first-order reaction, the equation is ln[A] = -kt + ln[A₀]. In this case, the slope of the line (when plotting ln[A] vs. time) corresponds to the true rate constant, k, and is negative.

For a second-order reaction, the equation is 1/[A] = kt + 1/[A₀]. In this case, the slope of the line (when plotting 1/[A] vs. time) corresponds to the true rate constant, k, and is positive.

So, the expression that the slope equals depends on the order of the reaction. For a first-order reaction, the slope equals -k, and for a second-order reaction, the slope equals k.

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Answer:

b.

Step-by-step explanation:

.

Answer:

B 112 ounces.....

nice to see you again

Answer:

i think an right angle

Step-by-step explanation: