The area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.
What is the Area under the Standard Normal Distribution Curve?The standard normal distribution curve's total area under the curve is 1. We can therefore calculate the likelihood of a value less than or larger than that if we know the Z score, which measures how far a value is above or below the mean. Under the typical normal curve when using the Normal Distribution P(Z>z)=1-P(Z<z) determines the region to the right of z.In this question:
Area right to the right of the z = 2.12
Using a TI-83 Plus/TI-84 Plus calculator,
P(Z> 2.12)
= P(Z<-2.12)
= 0.0170
Therefore the area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.
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4. Algebra The deductions from Emily's monthly pay are FIT of $112,
state income tax of 4% of her gross pay, city income tax (CIT) of 1.5% of
her gross pay, Social Security, and Medicare. Her monthly net pay is
$3,223. Find her monthly gross pay.
Answer:
Let G be Emily's gross pay.
Deductions:
FIT = 112
State Tax = 0.04G
City Tax = 0.015G
Social Security and Medicare
Net pay = Gross pay - Deductions
3,223 = G - 112 - 0.04G - 0.015G - Social Security - Medicare
We can then solve for G by isolating it on one side of the equation:
3,223 + 112 + 0.04G + 0.015G = G - Social Security - Medicare
3,223 + 0.055G = G - (Social Security + Medicare)
Now we can solve for G by dividing both sides by 1.055
G = 3223 / 1.055 + (Social Security + Medicare)
So we can find the gross pay but we don't have the exact amount for Social Security and Medicare that are being deduced.
Charlie works in a beauty salon.
He has three appointments today.
The time needed for each appointment is
Mr Brown (1 1¹hours)
Ms Pryce (1 hour 10 minutes)
Sam (31¹ hours).
He will have a 45 minute break.
Charlie will start work at 9:15 am
He wants to finish work by 4:30 pm
Will Charlie finish work by 4:30 pm?
Yes, Charlie can finish the work by 4:30 pm
With Mr. Brown, he has an appointment for 1 × [tex]1^{1}[/tex] hour
[tex]1^{1}[/tex] = 1
∴ 1 × 1 = 1 hour
So if he starts work at 9:15 am, he will finish an appointment with Mr. Brown at 10:15 am
9:15 means 9 hours 15 minutes
9 hours 15 minutes + 60mins [1 hour = 60 mins]
9 hours 75 mins ⇒ 10:15 am
With Mr Pryce he has an appointment for 1 hour 10 mins. He willl finish with him at 11:25 am
1 hour 10 minutes ⇒ 60 + 10 = 70 minutes
At 10:15am he starts work with Mr Pryce,
⇒10:15 + 70 minutes = 10:85 minutes = 11:25 am
Then if he takes a 45 minutes break,
11 hours 25 mins + 45 mins = 11 hours 70 mins = 12:10 pm
With Sam he has an appontment for 3 × [tex]1^{1}[/tex] hours. He will complete with him at 3:10 pm
⇒ 3 × 1 = 3 hours
At 12: 10 he starts with Sam,
12:10 means 12 hours 10 mins.
12 hours 10 mins + 3 hours = 15 hours 10 mins
⇒ 3:10 pm
Thus he finishes his work by 3:10 pm which is 1 hour 20 mins before 4:30 pm.
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the radius of a sphere is increasing at a constant rate of 8 meters per second. at the instant when the radius of the sphere is 22 meters, what is the rate of change of the volume? the volume of a sphere can be found with the equation v
So, on solving the provided question we can say that the rate of change of the volume with respect to radius = [tex]1770 = 4/3 \pi r^3S = 4 \pi r^2[/tex] [tex]dS/dt = 8 \pi r dr/dt[/tex]
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
Taking the derivative of the volume formula
[tex]DV/dt = 4\pi r*2 dr/dt\\5471 = 4 \pi r*2 dr/dt[/tex]
This equation r and dr/dt
We can solve for r...
sphere is 1770 cubic inches
[tex]1770 = 4/3 \pi r^3S = 4 \pi r^2dS/dt = 8 \pi r dr/dt[/tex]
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which three antifraud measures are associated with the largest reduction in median losses (though not among the most commonly implemented antifraud controls)?
The three anti-fraud measures associated with the largest reduction in median losses are proactive data monitoring/analysis, management review, and hotline.
The ACFE claims that one of the primary characteristics of fraud is the deliberate attempt to conceal evidence and that many instances of fraud go undetected because of this. In order to reduce the likelihood of fraud occurring, businesses are urged to develop internal anti-fraud measures like a Code of Ethics.
The first step in deciding which internal controls to put in place is to gain an understanding of how occupational fraud is committed.
Asset misappropriation, bribery, and financial statement fraud are the three main types of occupational fraud schemes identified by the research. In addition, a crucial step in creating an efficient control environment across the company that may help in avoiding and detecting fraud is to gain an in-depth understanding of and analyze each of these categories.
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Round each angle to the nearest degree and round each Side to the nearest hundredth. Do not use rounded answers in your calculations to find missing measures.
The value of angle A = 57°
angle B = 33°
c = 7.16
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then asin/A=bsin/B=csin/C.
using Pythagoras theorem, c² = 3.96² + 5.96²
c² = 15.682+35.522
c²= 51.204
c = √51.204
c = 7.16 ( nearest hundredth)
c/sinC = b/sin B
7.16 /sin90 = 3.96/sinB
sinB = (3.96× sin90)/7.16
sinB = 3.96/7.16
sinB = 0.55
B = sin^-1 0.55
B = 33° ( nearest degree)
Therefore A = 180-(90+33)
A = 57°
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if the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score e(x y)?
The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y).
e(x+y)
e = expected
x = points earned on part 1
y = points earned on part 2
So, the expected recorded score is the total of points earned on both parts: e(x+y).
The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y). This formula is useful for quickly calculating the total score of an assignment, allowing the grade book to be updated quickly and accurately.
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in the first year of the gryffindor house, hermione notices that the ratio of girls to boys is four to three. if there are 35 total students in their first year, how many total girls and total boys are there?
On solving the provided question we can say that the value of the equation will be 20-15=5 B
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Girls 4/(4+3)* 35= 20
Boys: 35-20= 15
Ans 20-15=5 B
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The hypotenuse of a right triangle measures 15 cm and one of its legs measures 13 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
other leg ≈ 7.5 cm
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x represent the other leg , then
x² + 13² = 15²
x² + 169 = 225 ( subtract 169 from both sides )
x² = 56 ( take square root of both sides )
x = [tex]\sqrt{56}[/tex] ≈ 7.5 cm ( to the nearest tenth )
Anton want to make 5lb ugar yrup. How much water and how much ugar doe he need for 75% yrup
Anton needs 3.75 lbs of sugar and 1.25 lbs of water to make 5 lbs of 75% sugar syrup.
To make a 75% sugar syrup, Anton will need 75% sugar and 25% water by weight. To find out how much sugar and how much water he needs, we can use the following formulas:
Sugar weight = 5lbs x 75% = 3.75lbs
Water weight = 5lbs x 25% = 1.25lbs
So Anton needs 3.75 lbs of sugar and 1.25 lbs of water to make 5 lbs of 75% sugar syrup.
It's important to note that syrup with 75% sugar content is heavy syrup, it is mostly used for preservation and not as a sweetener.
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a) [x] = [y] = [z] = 1.0 m
When Kp = 1.00 at 300K, for X(g) + Y(g) <==> Z(g), where [X] = [Y] = [Z] = 1.0 M, the reaction is in equilibrium.
Therefore the answer is c) reaction is at equilibrium.
Given the equilibrium constant Kp = 1.00 at 300K, this means that the reaction is already at equilibrium. Therefore, the net reaction will not proceed in any direction. The concentration of all the species X, Y, and Z in the reaction mixture will remain constant. So the answer is [c] reaction is at equilibrium.
It's important to note that the equilibrium constant Kp is the product of the concentration of the products raised to their stoichiometric coefficients divided by the product of the concentration of the reactants raised to their stoichiometric coefficients.
When Kp = 1, it means that the product of the concentrations of the products raised to their stoichiometric coefficients is equal to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, the reaction is at equilibrium.
--The question is incomplete, answering to the question below--
"In which direction will the net reaction proceed.
X(g) + Y(g) <==> Z(g) … Kp = 1.00 at 300k
for each of these sets of initial conditions?
A) [X] = [Y] = [Z] = 1.0 M
[a] net reaction goes to the left [this one?]
[b] net reaction goes to the right
[c] reaction is at equilibrium"
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Is absolute value function all real numbers?
If the absolute value is greater than or greater than or equal to a negative number, the solution is all real numbers.
If the absolute value is less than zero, there is no solution.
If the absolute value is less than or equal to zero, there is one solution.
If the absolute value is greater than zero, the solution is all real numbers
except for the value which makes it equal to zero. This will be written as a union.
The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.
It is represented as |a|, which defines the magnitude of any integer ‘a’.
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin of a number line or coordinate system.
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Answer the screenshot
The polynomial of degree 3 with the given zeros and a leading coefficient of 1 is:
P(x) = x^3 - 5x^2 - 14x
How to find the polynomial?Remember to do one post per question, I will answer the first one.
We know that for a polynomial of degree N with the given N zeros:
{x₁, x₂, ..., xₙ}
We can write the polynomial as:
P(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)
Where the leading coefficient is a.
Here the degree of the polynomial is 3, and the 3 zeros are:
-2, 0, 7
And the leading coefficient is 1.
Then we can write it as:
P(x) = 1*(x + 2)*(x - 0)*(x - 7)
P(x) = (x^2 + 2x)*(x - 7)
P(x) = x^3 + 2x^2 - 7x^2 - 14x
P(x) = x^3 - 5x^2 - 14x
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PLEASE HELP
A line passes through the point (2, 1) and has a slope of 3. Write the equation of the line in standard form.
Solve these simultaneous equations and explain how you worked your answer out
а) x+y=24
y=2x
b)2x+y=100
y=2(x-10)
c)x+y=26
3x+y=56
Answer:
a)
x+y=24---1
y= 2x ---2
subs 2 in 1
x+2x=24
3x=24
x=8
when x=8 subs in 2
y=2(8)
y=16
b)
2x+y=100---1
y=2(x-10)---2
subs 2 in 1
2x+2(x-10)=100
2x+2x-20=100
2x+2x=100+20
4x=120
x=30
when x=30 subs in 2
y=2(30-10)
y=2(20)
y=40
c)
x+y=26---1
3x+y=56---2
from 1
x+y=26
y=26-x---3
subs 3 in 2
3x+26-x=56
3x-x=56-26
2x=30
x=15
when x=15 subs in 3
y=26-15
y=11
how many positive three-digit integers have a remainder of 2 when divided by 8, a remainder of 7 when divided by 11, and a remainder of 5 when divided by 12?
Five positive three-digit integers have a remainder of 2 when divided by 6, a remainder of 7 when divided by 11, and a remainder of 5 when divided by 9.
Looking at the values, we notice that,
11-7=4, 9-5=4 and 6-2=4
This means we are looking for a value that is four less than a multiple of
11, 9, 6
The least common multiple of these numbers is 198
we can write 198k - 4 ,where k is a positive integer.
This value is only a three-digit integer when k is 1, 2, 3, 4, 5 giving us 194, 392, 590, 788, 986.
The quantity that is "left over" after conducting a calculation is referred to as the remnant in mathematics. The residual is the integer that remains after dividing one integer by another to create an integer quotient in mathematics (integer division).
The polynomial that remains after dividing one polynomial by another is known as the "remainder" in algebra of polynomials. When a dividend and a divisor are provided, the modulo operation is the one that results in such a remainder.
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a unit vector lies in the xy plane, at an angle of 158 degrees from the x axis, with a positive y component. what is the unit vector? (it helps to draw a diagram.)
If a unit vector lies in the xy plane, at an angle of 158 degrees from the x-axis, with a positive y component. The unit vector is ( -0.927, 0.374).
The unit vector is defined as a vector that points in the same direction as our vector (158 degrees from the x-axis) and has a magnitude of 1.
As we know that for a radius R and an angle A, the rectangular coordinates can be written as:
x = R × cos(A)
y = R × sin(A)
And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 158°
x = 1 × cos(158°) = -0.927
y = 1 × sin(158°) = 0.374
Then the unit vector is: ( -0.927, 0.374)
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whats the answer for this question
By the Pythagorean theorem, [tex]y=\sqrt{6^2-3^2}=3\sqrt{3}[/tex].
By the geometric mean theorem, [tex]y^2=3x \implies x=9[/tex].
h(x)=−3x+1
g(x)=2x
Find h(g(x))
Answer:
h(g)x)) = - 6x + 1
Step-by-step explanation:
to find h(g(x)), substitute x = g(x) into h(x) , that is
h(g(x))
= h(2x)
= - 3(2x) + 1
= - 6x + 1
define light-year. define light-year. the distance that light can travel in 1 year, which is approximately 149.6 trillion kilometers. the distance that light travels in 1 year, which is about 9.46 trillion kilometers. the distance that earth travels around the sun in 1 year, which is about 9.46 million kilometers. the average distance between earth and the sun, which is about 9.46 billion kilometers. the distance that light can travel in 1 year, which is approximately 149.6 billion kilometers.
A light-year is the distance light can travel in one year. It is equal to 9.46 trillion kilometers or 5.88 trillion miles. This is equal to about 6 trillion kilometers (3.7 trillion miles). It is the most common unit used to measure interstellar distances.
1. One light-year is equal to the distance light can travel in one year.
2. Distance light can travel in one year = speed of light x time
3. Speed of light = 300,000 km/sec
4. Time = 1 year
5. Distance light can travel in one year = 300,000 km/sec x 1 year
6. Distance light can travel in one year = 9.46 trillion km
7.The annual distance that light can cover is 5.88 trillion miles.
A light-year is a unit of distance used to measure interstellar distances. It is equal to 9.46 trillion kilometers, or 5.88 trillion miles. This is equal to approximately 6 trillion kilometers (3.7 trillion miles). This is calculated by multiplying the speed of light (300,000 km/sec) by one year (365.25 days). Light-years are commonly used to measure distances between stars and galaxies.
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The expression -250+12.1m represent a submarine that begins at a depth of 250 feet below sea level and ascended at a rate of 12.1 ft.per min. what was the depth of the submarine after six minutes 
Answer:
Step-by-step explanation:
The depth of the submarine after 6 minutes would be -182.9 ft. below sea level. This is calculated by taking the starting depth of -250 ft. and adding 12.1 ft. for each minute (6 minutes x 12.1 ft. = 72.6 ft.). Therefore, -250 + 72.6 ft. = -182.9 ft. below sea level.
Sometimes you can use the distributive property to expand an expression.
You can expand 23(5 2 x) into the equivalent expression 215 1 3x. Show
how you can use the distributive property to expand 24(2a 1 2) to get an
equivalent expression.
The distributive property shows that (2x + 3)(4x - 5) will give a value of 8x² + 2x - 15.
What is a distributive property?The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
Here is an example of using the distributive property to expand:
(2x + 3)(4x - 5)
Using the distributive property, this can be expanded as:
2x * 4x + 2x * -5 + 3 * 4x + 3 * -5
Which simplifies to:
8x² - 10x + 12x - 15
Combining like terms:
8x² + 2x - 15
Note that your information wasn't well written and another example was issued for your understanding.
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for an arbitrary collection of closed intervals, will the intersection of all of those intervals always be a closed interval if it is nonempty?
The intersection of all of those intervals always be a closed interval if it is nonempty
Given that
for an arbitrary collection of closed intervals
the intersection of all of those intervals always be a closed interval if it is nonempty it's true
An arbitrary (finite, countable, or uncountable) intersection of
closed sets is closed.
Let C0 = [0, 1], C1 = [0, 1/3] ∪ [2/3, 1], and
C2 = [0, 1/9] ∪ [2/9, 1/3]∪ [2/3, 7/9] ∪ [8/9, 1]
In general, let
Cn =(1/3 [tex]C_{n-1}[/tex])U(1/3[tex]C_{n-1}[/tex] + 2/3)
Let C = ∩n>1Cn, called Cantor’s middle-third set. Show that C is
a closed set.
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What is half of 1 2 US?
Answer: 6
12 divided by 2 is 6 or 6 + 6 = 12
A ball is launched from a 70.56-foot tall platform. The equation for
the ball's height h at time t seconds after launch is h (t) = -16t² +
70.56, where h is in feet. What is the maximum height the ball
achieves before landing?
Answer:
In this case the equation is already in vertex form. The vertex of the parabola is the maximum point and the value of h(t) at that point is the maximum height.
Since the equation is h(t) = -16t² + 70.56, the maximum height is 70.56 feet.
Uday Tahlan
Can you please find the value of f(4)?
The value of f(4) is -122.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(1) = 5
f(n) = -3 x f(n - 1) + n
Now,
For n = 4,
f(4) = -3 x f(4 - 1) + 4
f(4) = -3 x f(3) + 4
f(4) = -3 x f(3) + 4 ______(1)
We need to find f(3).
For n = 3,
f(3) = -3 x f(3 - 1) + 3
f(3) = -3 x f(2) + 3 _____(2)
We need to find f(2).
For n = 2,
f(2) = -3 x f(2- 1) + 2
f(2) = -3 x f(1) + 2
f(2) = -3 x 5 + 2
f(2) = -15 + 2
f(2) = -13
Substituting f(2) = -13 in (2)
f(3) = -3 x -13 + 3
f(3) = 39 + 3
f(3) = 42
Substituting f(3) = 42 in (1)
f(4) = -3 x f(3) + 4
f(4) = -3 x 42 + 4
f(4) = -126 + 4
f(4) = -122
Thus,
f(4) = -122.
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The website for company A recieves 8x10(6) visitors per year. The website for company recieves 4x10(3) visitors per year.
determine how many times more visitors per year the website for company a recieves than the website for company B.
PLEASE ANSWER ASAP
On solving the provide question, we can say that by linear equation the value 2000 times
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
[tex]8*10^6/(4*10^3)\\=(8/4)*(10^6/10^3)\\=2*(10^3)\\=2*1000\\=2000 times[/tex]
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The students in a fourth-grade class wanted to analyze the opinions of all teachers in the district about creating an after-school computer club. The class surveyed a sample of 150 teachers who have children at the school. The survey showed that the majority of those sampled were in favor of the club. Which of the following is true about the fourth grade class' survey
The survey conducted by the fourth-grade class can provide an estimate of the opinions of the teachers in the district, but it is subject to sampling error and the sample is not random and may not be representative of the population of all teachers in the district.
The fourth-grade class' survey is a sample survey of a subset of teachers in the district, not a census of all teachers in the district. As such, it can provide an estimate of the opinions of all teachers in the district, but it is subject to sampling error. This means that if the class were to survey a different sample of teachers, the results might be slightly different. The sample size of 150 teachers may or may not be big enough to provide a reliable estimate of the population of the teachers.
Another thing to keep in mind is that the sample is not random and it's composed only of teachers who have children at the school, so the results may not be representative of the population of all teachers in the district. Also, because the survey indicates that the majority of those sampled were in favor of the club, it does not necessarily mean that the majority of all teachers in the district are in favor of the club.
Thus, In summary, The survey conducted by the fourth-grade class can provide an estimate of the opinions of the teachers in the district, but it is subject to sampling error and the sample is not random and may not be representative of the population of all teachers in the district.
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find the cost of polishing a circular table top of diameter 1.6 M if the rate of polishing is rupees 15 m square take Pi 3.14 .
Answer:
30.144 or 3.14 if rounded.
Step-by-step explanation:
First you need to find the area of the table top
a = [tex]\pi r^{2}[/tex]
a = (3.14) ([tex].8^{2}[/tex]) The radius is the half of the diameter 1.6/2 = .8
a = 3.14(.64)
a = 2.0096
The area is 2.0096 [tex]m^{2}[/tex]
the cost will be
2.0096 x 15 = 30.144 rupees
Doe you round rupees to the nearest hundredths' place? I am not sure. Rounded the number would be 30.14
What are the tables in math?
Information organised in rows and columns, such as numbers and descriptions is known as table.
General tables and summary tables are the two broad types into which statistical tables can be divided.
General tables
General tables include a compilation of specific data that is all pertinent to the topic or theme. Such tables are typically included in the appendices of reports and serve the primary function of assembling all the information on a given issue for quick reference.
Summery tables
Summary tables are made to accomplish a number of distinct tasks. They are typically included into the text, smaller in size than regular tables, and focus on a particular component of the data. Because they are generated from the general tables, the summary tables are also known as derivative tables. The data in the summary table is intended for analysis and inference. They are also known as interpretative tables as a result.
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A 4-ft vertical post casts a 10-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the cell phone tower?
The cell phone tower's height is ft.
(Simplify your answer.)
Answer: The height of an object can be determined using the relationship between the height of an object, the length of its shadow, and the length of a reference shadow. This relationship is given by the formula:
Height of object = (Height of reference object x Length of object's shadow) / Length of reference shadow
Given that a 4-ft vertical post casts a 10-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow, we can use this formula to find the height of the cell phone tower:
Height of the cell phone tower = (4 ft x 10 in) / 125 ft
To find the height of the cell phone tower, we have to convert the 10 inches to feet, since the reference object's height is in feet.
10 inches = 10/12 ft = 5/6 ft
Height of the cell phone tower = (4 ft x 5/6 ft) / 125 ft
Height of the cell phone tower = 20/125 ft = 16/125 ft = 128/1025 ft = 128/1025 * 12/12 in = 128/85 ft
So the cell phone tower is 128/85 ft or (128/85) * 12 = 128/7 ft = 18.285714 ft tall.
The cell phone tower's height is 18.285714 ft.
Step-by-step explanation:
