Tyler is observing the ascent of a
steel beam being lifted by a crane
from a position about 250 feet
away. What function models the
height h in feet of the beam as a
function of the angle of inclination
from Tyler's position to the steel
beam?
Answers
Answer:
Step-by-step explanation:
tanθ = h/250
h = 250tanθ
The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ feet
What is angle of inclination?"The angle inclination of a line is the angle formed by the intersection of the line and the x-axis."
What are trigonometric functions?"The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."
We have
Adjacent side = 250 feet
From the figure,
We can write trigonometric function
Tanθ = [tex]\frac{AB}{BC}[/tex]
Tanθ = [tex]\frac{h}{250}[/tex]
⇒ h = 250 tanθ feet
Hence, The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ
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Related Questions
Zaire needs to purchase 600 cans of juice for a birthday party. Juicy juices sells a 6 packs of juice at $3.35 each. Tasty juices sells a cause of 24 juices for $13.50 each
Answers
Answer: 6 packs are cheaper by $2.50 or 0.42 c per can.
Step-by-step explanation:
In 6 packs, 600 cans = 100 packs at 3.35 = 335
in 24s, 600 cans = 25 cases at 13.50 = 337.50
WILL MARK BRAINLIEST ASAP HELP (a-b)^2*x-y(b-a)^2
Answers
Answer:a2x2 + a2y2 + 2axy - b2x2 + 2b2xy - b2y2
Step-by-step explanation:
i hope it helps
simplify the following expression, show all work you did to get the results
Answers
Answer:
(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...
Step-by-step explanation:
Simplify the following:
(sqrt(14))/(sqrt(18))
Hint: | Simplify radicals.
sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
(sqrt(14))/(3 sqrt(2))
Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).
Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):
(sqrt(14) sqrt(2))/(3×2)
Hint: | Multiply 3 and 2 together.
3×2 = 6:
(sqrt(14) sqrt(2))/6
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).
sqrt(14) sqrt(2) = sqrt(14×2):
(sqrt(14×2))/6
Hint: | Multiply 14 and 2 together.
14×2 = 28:
(sqrt(28))/6
Hint: | Simplify radicals.
sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):
(2 sqrt(7))/6
Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.
2/6 = 2/(2×3) = 1/3:
Answer: (sqrt(7))/3
Seven times a certain number plus the number is equal to 88. Find the number.
Answers
Answer:
11
Step-by-step explanation:
11 * 7= 77
77 + 11= 88
how do I simplify each expression by combining like terms for this problem
-7+13x+2x+8
Answers
Answer:
the answer would be 15x+ 1
Step-by-step explanation:
Answer:
1 + 15x
Step-by-step explanation:
-7+13+2x+8 separate the terms
-7+8 = 1
13x + 2x = 15x put them together
1+15x
The radius of a parachute is shown below.
What is the diameter of the parachute? What is the circumference of the parachute?
Answers
Step-by-step explanation:
Diameter is 6 ft
3 ft + 3ft
One year Hank had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 3.36 . Also, Jane had the lowest ERA of any female pitcher at the school with an ERA of 3.49 . For the males, the mean ERA was 4.449 and the standard deviation was 0.792 . For the females, the mean ERA was 5.091 and the standard deviation was 0.669 . Find their respective z-scores. Which player had the better year relative to their peers, Hank or Jane
Answers
Answer:
Hank had a z-score of -1.375.
Jane had a z-score of -2.39.
Jane had the better year relative to their peers, due to her lower z-score.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Hank:
ERA of 3.36. For the males, the mean ERA was 4.449 and the standard deviation was 0.792. This means that we have to find Z when [tex]X = 3.36, \mu = 4.449, \sigma = 0.792[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.36 - 4.449}{0.792}[/tex]
[tex]Z = -1.375[/tex]
Hank had a z-score of -1.375.
Jane
ERA of 3.49. For the females, the mean ERA was 5.091 and the standard deviation was 0.669. This means that we have to find Z when [tex]X = 3.49, \mu = 5.091, \sigma = 0.669[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3.49 - 5.091}{0.669}[/tex]
[tex]Z = -2.39[/tex]
Jane had a z-score of -2.39.
Which player had the better year relative to their peers, Hank or Jane
Low ERA is good, high is bad. This means that whoever had the lower z-score had the better year, and in this case, it's Jane
A red t-shirt costs $9.50. A black t-shirt costs 4 times as much as the red t-shirt. How much does the black t-shirt?
A. $36.50
B. $28.25
C. $36
D. $38
Answers
Answer: D or $38
Step-by-step explanation:
Answer: The answer is D) $38.
Step-by-step explanation:
When you multiply $9.50 by 4 you get $38.
find all the numbers whose absolute value is -6
Answers
Answer:
6
Step-by-step explanation:
:-)
What is the solution to the system of equations? 3x - 6y = - 12 x - 2y = - 8 Use the substitution method to justify that the given system of equations has no solution.
Answers
Answer:
There is no solution to this system.
Step-by-step explanation:
The left side of the first equation is 3 times the left side of the second one.
If we multiply the whole of the second equation by 3 we get:
3x - 6y = -16.
As the first equation is 3x - 6y = -12 we see that there is no solution to this system. 3x - 6y can't be equal to -12 and -16.
A train travels 4.4 miles in
4 minutes. At this rate, how many miles will it
travel in 58 minutes?
Answers
Answer:
63.8 miles
Step-by-step explanation:
If the train travels 4.4 miles in 4 minutes, then you have to divide 4.4/4 to find the miles the train travels per minute.
4.4/4 = 1.1
So, since the train travels 1.1 miles per minute, and we want to know how fast it travels in 58 minutes, we have to multiply 1.1 by 58. Since 1.1 is a decimal number, we have to multiply both sides by 10 to get 11x580.
11x580 = 5800+ 580 = 6380
Since we multiplied both numbers by 10, we have to divide 6380 by 100.
6380/100 = 63.8
So, the train travels 63.8 miles in 58 minutes.
if the length of a box is 17 cm breadth is 6 cm and volume is 1020 cube find the height of the box
Answers
Answer:
10 cm
Step-by-step explanation:
17×6×h=1020
102h=1020
h=1020/102=10
h=10 cm
It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the company’s monthly production cost, y, in terms of the number, x of bikes it makes. y=?
Answers
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]
PLEASE HELP PLSS IM ON A TIME LIMIT!!!
Answers
Answer:
so on the first one all your doing is multiplying 65 by the number on top so the graph should look like this.
2 3 4 5
130 195 260 325
On the second one all your doing is putting the dot where the numbers meet up so for example. I'm going to try my best at this to create a drawing so pretend ! is a line and - is also a line.
10!
!
8!
!
4!_|●_|_|_|_|_|_|
!_|_|_|_|_|_|_|_|
!_|_|_|_|_|_|_|_|_
0!_|_|_|_|_|_|_|_|_|_
2
so I hope this made sense so where I put my dot is where the blue dot should go on the graph
if the measure of angle a is 109, what is the measure of angle b
Answers
Answer:
71
Step-by-step explanation:
Those are supplementary angles meaning they add up to 180 degrees
180 - 109 = 71
That would make b 71 degrees
Answer:
71 degrees !!
Step-by-step explanation:
Since the angles A and B both are next to each other, they form a linear pair. Since they are a linear pair, they both add up to 180 degrees (same as a straight angle!) So, if A is 109, you would simply subtract that from 180, and you'd get 71 !!
180-109= 71 !!
I hope this helps... have a great day !
In a population of 400,000 people, 160,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). Of the people who are infected, 4% will die each year and the others will recover. Of the people who have never been infected, 15% will become infected each year. How many people will be infected in 4 years
Answers
Answer:
Number of people that will be infected in 4 years is 252,610.
Step-by-step explanation:
The number of people that will be infected in 4 years can be calculated as follows:
Number of people that will be infected in year 1 = 160,000
Number of people that will not be infected in year 1 = 400,000 - 160,000 = 240,000
Number of people that will be infected in year 2 = Number of people that will not be infected in year 1 * 15% = 240,000 * 15% = 36,000
Number of people that will not be infected in year 2 = Number of people that will not be infected in year 1 - Number of people that will be infected in year 2 = 240,000 - 36,000 = 204,000
Number of people that will be infected in year 3 = Number of people that will not be infected in year 2 * 15% = 204,000 * 15% = 30,600
Number of people that will not be infected in year 3 = Number of people that will not be infected in year 2 - Number of people that will be infected in year 3 = 204,000 - 30,600 = 173,400
Number of people that will be infected in year 4 = Number of people that will not be infected in year 3 * 15% = 173,400 * 15% = 26,010
Therefore, we have:
Number of people that will be infected in 4 years = Number of people that will be infected in year 1 + Number of people that will be infected in year 2 + Number of people that will be infected in year 3 + Number of people that will be infected in year 4 = 160,000 + 36,000 + 30,600 + 26,010 = 252,610
what is this 12 x ? = 5
Answers
0.416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
I'm really confused about this question is 7f=49
Answers
Step-by-step explanation:
given
7f = 49
f = 49/ 7
f = 7
Hope it will help :)
Answer:
7
Step-by-step explanation:
[tex]7f = 49 \\ divide \: both \: sides \: by \: 7 \\ \frac{7f}{7} = \frac{49}{7} \\ f = 7[/tex]
1/8 x a number equals 2
Answers
Answer:
The number should be 16.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
1/8 * x = 2
x = 16
2 z − 22 facorise fully
Answers
Answer:
Factorising fully
then
2z - 22
= 2( z - 11)
The flower shop has 40 times as many flowers in the cooler as Kendall has in her bouquet. Kendall has 15 flowers. How many flowers are in the cooler?
Can anyone help me thank you
Answers
Answer:
tu debes de saber las respuestas por qué tú estás como en onceavo
Which of these best describes a pair of supplementary angles?
a . Two angles whose sum is 90°.
b . Two non-adjacent angles formed by the intersection of two lines.
c . Two angles whose sum is 180°
d . Two angles that share a common side and vertex with no common interior points.
Answers
Answer:
c . Two angles whose sum is 180°
Step-by-step explanation:
Hope it helps you in your learning process
Each day, Martin lifts weights for 10 minutes and runs on the
treadmill for 25 minutes. Write two equivalent expressions and
then find the total minutes that Martin exercises in 7 days.
Answers
Answer:
Martin Exercised 35 minutes in 7 days. Correct me if I'm wrong
Each square in the grid is a 1 x 1 centimeter square.
What is the area of the shape?
Answers
8square centimeters
Step-by-step explanation:
1 square is 1cm2. theres 8 squares so 8cm2
If the markup rate is 50%, then the cost of a shirt that regularly sells for $60 is $40. true or false?
Answers
Answer:
false
Step-by-step explanation:
half of 60 dollars is 30
think of it as half of 6
The accompanying specific gravity values describe various wood types used in construction. 0.32 0.35 0.36 0.36 0.37 0.38 0.40 0.40 0.40 0.41 0.41 0.42 0.42 0.42 0.42 0.42 0.43 0.44 0.45 0.46 0.46 0.47 0.48 0.48 0.49 0.53 0.54 0.54 0.55 0.58 0.61 0.66 0.66 0.67 0.68 0.76 Construct a stem-and-leaf display using repeated stems. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stem
Answers
Answer:
Follows are the responses to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]Stem\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Leaf\\\\[/tex]
[tex]3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0,0,0,1,1,2,2,2,2,2,3,4\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8,8,8\\\\5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1,4,4\\\\[/tex]
[tex]5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,8\\\\6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6,6,7,8\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ NONE\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\[/tex]
The stem & leaf show demonstrates that 0.55 for both the data is indeed a reasonable value.
The probable outlier is the data value 0.76.
The variability of the techniques is relatively large.
It show isn't symmetrical and seems to be optimistic.
18 Which expression below is equivalent to -3x + 5(x + 2)? Circle the
correct answer.
A 2x + 2
B.
-x+ 2
C 2x + 10
D
- 8x + 10
Kaitlin chose A as the correct answer. How did she get that answer?
Answers
Answer:
C
Step-by-step explanation:
First, use the distributive property to open the parentheses:
-3x + 5x + 10
2x + 10
The correct answer is C
Kaitlin forgot to use the distributive property on both the x and 2.
Hope this helps!
A quality control inspector is testing microprocessor chips made during a single day by a new machine to determine the proportion of defective chips. She selects an SRS of 80 chips from the 3000 chips produced by the machine on that day. it turns out that six of the chips are defective. Which of the following conditions for constructing a confidence interval for the proportion of defective chips has been violated?
A. np>10 and n(1-p) > 10
B. An SRS has been taken from the population of interest.
C. The population is at least 10 times the size of the sample.
D. The population is approximately Normally distributed.
E. There appear to be no violations.
Answers
Answer:
The answer is "Choice A".
Step-by-step explanation:
[tex]\to \hat p = \frac{6}{80} = 0.075\\\\\to n \hat p = 6 \ngeq 10[/tex]
In this question, "choice A" violates the population size at a minimum of ten times the magnitude including its sample, and therefore does not violate its requirement that is the sample, which was taken in change.
Pls help me with this question thanks
Answers
Answer:
7 Hours
Step by Step:
150 pages divided by 25 page per hour is 7 Hours
If we do 150/25 we have 7 which is the answer
The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?
Do not include the units in your answer.
Answers
At a speed of 48 miles per hour, it would take 13 hours.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours.
Distance is constant.
And we know the formula:
Distance = speed x time
= 52 x 12
= 624 miles
Now to find the time:
Now for speed = 48 miles per hour
time,
t = distance / speed
= 624/48
= 13 hours
Therefore, 13 hours would it take at a speed of 48 miles per hour.
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