To find the height of a pole, a surveyor moves 129 feet away from the base of the pole and then with a transit 4.7 feet tall, measures the angle of elevation to the top of the pole
to be 38. What is the height of the pole?
Round your final answer to the nearest tenth of a foot.
Type your answer

Answer:

If the first one is a, next is b, ect., then answer is C

Step-by-step explanation:

Just take the first thing. Distributive property and it goes to 9x. From there only one choice has 9x, so ez.

Answer:

An equation in standard form for the line is:

\(\frac{5}{2}x-y=-4\)

Step-by-step explanation:

Given the points

The slope between two points

\(\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)\)

\(m=\frac{4-\left(-1\right)}{0-\left(-2\right)}\)

\(m=\frac{5}{2}\)

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

\(y-y_1=m\left(x-x_1\right)\)

Putting the point (-2, -1) and the slope m=1 in the line equation

\(y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)\)

\(y+1=\frac{5}{2}\left(x+2\right)\)

\(y=\frac{5}{2}x+4\)

Writing the equation in the standard form form

As we know that the equation in the standard form is

\(Ax+By=C\)

where x and y are variables and A, B and C are constants

so

\(y=\frac{5}{2}x+4\)

\(\frac{5}{2}x-y=-4\)

Therefore, an equation in standard form for the line is:

\(\frac{5}{2}x-y=-4\)

Answer:

D

Step-by-step explanation:

When you simplify the expression you start by subtracting 5 from both sides. This gives you 0.2x > -3. Then to isolate "x" you divide both sides by 0.2. This gives you x > -15, which is shown in the number line.

ANSWER:

32 minutes

STEP-BY-STEP EXPLANATION:

To know the waiting time we must subtract the arrival time of one with the arrival time of the other.

That is, he waited for his friend 32 minutes

The number of students who will be going on the trip is B. 40 students.

A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.

The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.

The total of the weekend trip = $4,030

The cost of cleaning for the bus = $30

The cost of food and lodging per student = $60

The bus charge per student = $40

Total cost per student = $100 ($60 + $40)

The total cost, y = 4,030 - 30 - 100x

The number of students = x

x= (4,030 - 30)/100

= (4,000/100)

= 40.

Thus, the number of students who will be going on the trip is B. 40 students.

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Answer:

(-y,x)

Step-by-step explanation:

You bring the y number up to the x coordinate and place a negative sign in front of it. If the y coordinate is already negative, it becomes positive. Negative x negative is a positive! Boom! Good Luck!

The equation of the line is x + 3y = 6

The line equation is represented as:

ax + by = c

Where:

x-intercept = 6 i.e. (6, 0)

y-intercept = 2 i.e. (0, 2)

Calculate the slope (m) as follows

m = (2 - 0)/(0 - 6)

This gives

m = -1/3

The linear equation is represented as:

y =mx + c

So, we have

y = -1/3x + c

y-intercept = 2 i.e. (0, 2) implies that

y = -1/3x + 2

Multiply through by 3

3y = -x + 6

Rewrite as:

x + 3y = 6

Hence, the equation of the line is x + 3y = 6

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The length of the rod that he could use to complete the triangle is 12 inches. This is solved based on the principle of Pythagorean Triples.

Pythagorean triples are a collection of three positive numbers that fit into the Pythagorean theorem formula, which is written as a² + b² = c², where a, b, and c are positive integers. In this case, 'c' is the 'hypotenuse,' or the triangle's longest side, while 'a' and 'b' are the other two legs of the right-angled triangle.

Pythagorean triples are denoted as (a,b, c). The most well-known Pythagorean triple example is (3, 4, 5). We can see that the numbers 3, 4, and 5 meet the equation a² + b² = c².

To prove that the length of the rod that should be used to complete the triangle is 12. Let's subject the values to the Principles of Pythagorean Triples.

Given:

9,

let's assume that 15 is the longest side.

Thus,

If we are correct,

9² + 12² should equal 15²

9² = 81

12² = 144

15² = 225

81 + 144 =225

Hence the length of the rod that must be used to complete the triangle is 12 inches.

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Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Answer:

x=12

Step-by-step explanation:

4(12)+17 equals 65

(12)+23 equals 35

180-80=100

65+35=100

Answer:

it's answer is D. 33°

Let the unknown angle be x Then.

x + 100° + 47° = 180° [ being sum of angles of triangle ]

x + 147° = 180°

x = 180° - 147°

x = 33°

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer:

$666.66

Step-by-step explanation:

4%/12=0.33333

0.33333*9= 3%

2,000/3=$666.66

2,000+666.66=$2,666.66

Answer:

63/100

Step-by-step explanation:

Answer:

(-32, 0)

Step-by-step explanation:

Answer:

(-32,0)

Step-by-step explanation:

Actual time is much longer than the 50-year timeframe suggested by the speaker.

How to verify the statement?

This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.

To verify this claim, we can use the following formula to calculate the expected total pollution after n years:

Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)

Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.

We can set the expected total pollution after n years equal to the present pollution level and solve for n:

\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)

Simplifying this equation, we get:

\(1 = 1.03^n \times 0.2^n\)

Taking the logarithm of both sides of the equation, we get,

\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)

Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.

It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.

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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).

To find an ordered triple representing \(3u - 2v\),

where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),

we can perform the following operations:

\(3u = 3(5, -2, 3)\)

\(3u = (15, -6, 9)\)

\(2v = 2(1, 1, 2)\)

\(2v = (2, 2, 4)\)

Now, subtracting 2v from 3u gives:

\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)

\(3u - 2v = (15-2, -6-2, 9-4)\)

\(3u - 2v = (13, -8, 5)\)

Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).

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Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Answer:

\(\{P^2: P\ E\ Z\ and\ 1\leq p\leq 10\}\)

Step-by-step explanation:

Given

Range: = 1 to 100 (Inclusive)

Required

Determine the notation that represents the perfect square in the given range

Represent the range with P

P = 1 to 100

Such that the perfect squares will be P² and integers

In set notation, integers are represented with Z

The set notation becomes

\(\{P^2: P\ E\ Z\ and\ 1\leq p\leq 10\}\)

The \(\leq\) shows that 1 and 100 are inclusive of the set

Using the z-distribution, as we are working with a proportion, it is found that the 75% confidence interval for the population mean of people that spend over 20 hours per week on their phones is given by:

CI = (74.36%, 75.64%).

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, the parameters are:

\(n = 6000, \pi = \frac{4500}{6000} = 0.75, z = 1.15\)

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.15\sqrt{\frac{0.75(0.25)}{6000}} = 0.7436\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.15\sqrt{\frac{0.75(0.25)}{6000}} = 0.7564\)

Using percentages, the interval is given by:

CI = (74.36%, 75.64%).

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Step-by-step explanation:

7! = 5040 ways

Answer: uh I want to help you but what work I don’t see your question or- did you put a picture...

Step-by-step explanation:

Answer:

Step-by-step explanation:

well when you need help on a question you can put (ask a question) or when you wanna help people you can answer there questions

Answer: 34,650 permutations

Answer:-3

Step-by-step explanation:

Answer:

p = -3

Step-by-step explanation:

5p + 2 = 4p - 1

-4p -2    -4p -2

p          =       -3

Answer:

x = 20

Step-by-step explanation:

For the lines to be parallel, the angles have to be equal

2x+15 = 55

Subtract 15 from each side

2x+15-15 = 55-15

2x = 40

2x/2 = 40/2

x = 20

Answer:

you collect the like terms then your answer should be10x=10 consult a tutor because he or she may know better than me

Answer:

inf > a > 13 || inf > n > 0

Step-by-step explanation:

we already know that n is positive so that means that a has to have a range starting 13 higher than n.

a. Solving for 'd' as the subject of formula gives d = P/64

b. The depth of a submerged object if the pressure is 672 pounds per square foot is 10. 5 feet

A function can be defined as an expression, law or rule that shows the relationship between two variables.

These variables are namely;

Given the function as;

P = 64d

Where;

Now, let's make the variable 'd' the subject of formula

Divide both sides of the equation with the coefficient of the variable 'd' which is 64. This is done so that the variable stands alone.

We have;

P/64 = 64d/64

d = P/ 64

If the pressure, P equals  672 pounds per square foot

Substitute the value of the variable into the formula, we have;

d = P/64

Then,

d = 672/64

Find the quotient

d = 10. 5 feet.

Thus, the value is 10. 5 feet

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Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.