An algebraic expression that represents the number of crayons that Jeremiah has is: B. 2s + 3.
How to write an equation to model this situation?In order to write an equation that model this situation, we would assign variables to the total number of pencils that Jeremiah has and the total number of pencils that Spencer has respectively, and then translate the word problem into algebraic equation as follows:
Let the variable J represent number of pencils that Jeremiah has.Let the variable p represent the total number of pencils that Spencer has.Since Jeremiah has three more than twice as many pencils as Spencer, a linear equation that models this situation correctly include the following:
J = 2s + 3
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Mia invests $7500 at a rate of 3.5% per year simple interest
Calculate the total amount she has after 5 years.
Answer:
$8812.50
Step-by-step explanation:
To calculate the simple interest earned on Mia's investment, we can use the formula:
I = Prt
where I is the interest earned, P is the principal amount invested, r is the interest rate as a decimal, and t is the time in years.
Plugging in the values, we have:
I = $7500 * 0.035 * 5
I = $1312.50
The total amount Mia has after 5 years is the sum of her original investment and the interest earned:
$7500 + $1312.50 = $8812.50
Which linear inequality is graphed with y > -X - 2 to
create the given solution set?
© y>x+1
© y
O y>x-1
O y
The linear inequality that is graphed with y > –x – 2 to create the given solution set is D. y < x + 1
How to explain the inequalityOne of the line is having the y intercept -2 and slope -1 having the equation y=-x-2. The shaded region is having the inequality y>-x-2.
The other line is having the y intercept 1 and slope of 1. Hence equation of line is y=x+1.
The shaded part is above the line .The inequality region is represented by the inequality y <x+1.
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Which linear inequality is graphed with y > –x – 2 to create the given solution set?
A=y > x + 1
B=y < x – 1
C=y > x – 1
D=y < x + 1
Kenji is deep-sea diving with two friends. Ezra is exploring a coral reef 12 meters in front of Kenji, and Tori is floating on the surface directly above Kenji. If Tori and Ezra are 20 meters apart, how far apart are Kenji and Tori?
Answer:
Step-by-step explanation:
We know that the hypotenuse is 20m and one leg is 12m.
Pythagorean Theorem= a^2 + b^2 = c^2
12^2 + b^2 = 20^20
144 + b^2 = 400
b^2 = 256
Square root of 256 = 16
Kenji and Tori are 16 meters away from each other.
a radioactive substance decays exponentially. a scientist begins with 100 milligrams of a radioactive substance. after 29 hours, 50 mg of the substance remains. how many milligrams will remain after 38 hours?
After 38 hours, there will be 43.1 mg of the radioactive substance remaining.This means that the amount of a radioactive substance decreases exponentially over time
Radioactive decay follows an exponential decay curve. This means that the amount of a radioactive substance decreases exponentially over time. The equation for this is: [tex]A(t) = A0*e^(-λ*t\\[/tex])Where A(t) is the amount of substance at time t, A0 is the initial amount of substance, and λ is the decay constant. In this problem, A0 = 100 mg, t = 29 hours, and A(t) = 50 mg. We can use this to solve for λ:50 mg = 100 mg * [tex]e^(-λ*29)λ =[/tex] -0.027Now that we have the decay constant, we can calculate the amount of substance remaining after 38 hours:A(38) = 100 mg * [tex]e^(-0.027*38[/tex]).A(38) = 43.1 mg.Therefore, after 38 hours, there will be 43.1 mg of the radioactive substance remaining.
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Please help as soon as possible
The number of hours taken to have the same number of pages completed is 5 hours.
The solution to the system of equations is (5, 50).
How to write the system of equations for this system?In order to write a system of linear equations that could be used to model the situation and determine the number of hours it would take to complete the workbook, we would assign variables to the number of hours and the number of pages respectively as follows:
Let the variable x represent the number of hours.Let the variable y represent the number of pages.Next, we would translate the word problem into system of linear equations as follows:
Isaiah: y = x + 45
Brenna: y = 9x + 5
When the same number of pages are completed, the number of hours taken can be calculated as follows;
x + 45 = 9x + 5
9x - x = 45 - 5
8x = 40
x = 5 hours.
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A book shop advertises that they will discount their maths book by 3/8 of the retail price what would the sale price of a book with a retail of R 100 and what would be sale price of a book with a retail of R 88
The Selling price of a book with a retail of R 100 and R 88 will be 99.625 and 87.625 respectively.
The selling price of a good or service is the final cost to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.
It is one of the most crucial things for a business to decide. It is significant since it determines whether or not it will survive. Sales of a product are directly impacted by its price.
According to the question,
Discount = 3/8 of the retail price.
Now,
When retail price is 100,
Selling price [tex]= 100-3/8[/tex]
[tex]=99.625[/tex]
When retail price is 88.
Selling price [tex]= 88-3/8[/tex]
[tex]=87.625[/tex]
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39. Tugboat A and Tugboat B are pulling a barge. Each tugboat is connected to the barge via a cable. If the length of the cables are 63 meters and 68 meters and the tugboats are 35 meters apart, find the angle formed between the cables.
The angle formed between the cables is 48.7°.
What is an angle?
An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
Here, we have
Given: Tugboat A and Tugboat B are pulling a barge. Each tugboat is connected to the barge via a cable. If the length of the cables is 63 meters and 68 meters and the tugboats are 35 meters apart.
a = 68 m
b = 63 m
c = Distance between the tugboats = 35 m
m∠C = Angle between the cables
c² = a² + b² - 2abcosC
m∠C = cos⁻¹(c² - a² - b²)/(-2ab)
m∠C = cos⁻¹(35² - 68² - 63²)/(-2(68)(63))
m∠C = 48.7°
Hence, the angle formed between the cables is 48.7°.
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classify each peptide chain as part of a parallel β sheet, part of an antiparallel β sheet, either type of β sheet, or not part of a β sheet.
The first figure represents Antiparallel β sheet. Second figure is parallel β sheet. Third figure represents neither of the two types. The fourth figure is also parallel β sheet and the fifth figure represents both types.
Antiparallel and parallel β-sheets are two different arrangements of the β-strands in a protein structure.
In an antiparallel β-sheet, the direction of the peptide bonds in the individual β-strands is opposed to each other, meaning that the N-terminal end of one strand points in the opposite direction from the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run perpendicular to the direction of the peptide bonds and hold the strands together.
In a parallel β-sheet, the direction of the peptide bonds in the individual β-strands is the same, meaning that the N-terminal end of one strand points in the same direction as the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run parallel to the direction of the peptide bonds and hold the strands together.
Both antiparallel and parallel β-sheets play important roles in the structure and function of proteins, and are found in many different types of proteins, including enzymes, transport proteins, and structural proteins.
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Complete question:
classify each peptide chain as part of a parallel β sheet, part of an antiparallel β sheet, either type of β sheet, or not part of a β sheet. options in document attached below.
Segment AC is the angle bisector of
The figure is not to scale.
Which of the following additional statements would allow us to prove that
the angle of depression from the top of a cliff to a nearby town is 23 degrees. if the top of the cliff is 360 feet above the town, how far is the town from the base of the cliff? do not round until you reach your answer, and then round your answer to the nearest tenth of a foot.
The length of town from the base of the cliff is 848.25 feet
Concept of height and distance
You can use trigonometry formulas to find height and distance from anything. If you know the distance from the Qutub Minar to your current location and the angle at which you can see the top of the Minar, you can find the altitude of the Qutub Minar. Use trigonometry to find the elevation. This is because the ground, minaret elevation, and contour lines all combine to form a 90 degree right triangle between the minaret and the ground.
The distance is usually the "base" of the right triangle formed by the minar's elevation and line of sight. The length of the horizontal plane also forms the base of a triangle parallel to the ground at a given height, so we know the distance. The line of sight forms the "hypotenuse" of a right triangle. Lines perpendicular to the ground form the "height" of the triangle.
To calculate elevation or depression you can use the following formulas:
sinθ = hypotenuse /height.
cosθ = hypotenuse /base,
tanθ = base /height
where θ is the elevation or depression angle.
and in this question the angle of depression is 23 degree and height is 360 feet and we have to calculate the base
tan 23 degree = 360/base
base = 360/tan 23
=360/0.4244
= 848.25 feet.
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Mr P’s had some car issues and he took it into the car shop. The mechanic told him that it will cost 50$ an hour to fix his car. How much it will it cost?
If the mechanic told Mr P that it will cost 50$ an hour to fix his car, then 50x will be the cost which Mr P has to pay.
What is Expression?An expression is combination of variables, numbers and operators.
Given that Mr P’s had some car issues and he took it into the car shop.
The mechanic told him that it will cost 50$ an hour to fix his car.
We need to find Mr P has to pay for car.
Let x represents the number of hours.
$50x represents the amount Mr P has to pay for car.
Hence, the expression 50x represents the cost Mr P has to pay for car.
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1. If LM = 6, what is the perimeter of APKQ?
X-6
P
3
X
M
5
Answer:
24.67
Step-by-step explanation:
6 x 3 = 18
18 plus 6 = 24
X-M=0.60
P-3=7
24.67
tom and saam are speed skaters. tom skates 44 ft/sec, and saam 50ft/sec. if saam is 120 ft behind tom when they are skating in the same direction, how long will it take saam to catch up to tom?
They are skating in the same direction, how long will it take Sam to catch up to tom
will take Sam 2.72 seconds to catch up to Tom.
Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
To find out how long it will take Sam to catch up to Tom, we can use the following formula:
time = distance / (rate of Sam- the rate of Tom)
In this case, the distance is 120 ft (the distance between Tom and Sam when they start speed skating) and rate of Sam is 50 ft/sec, and the rate of Tom is 44 ft/sec.
Plugging these values into the formula, we get:
time = 120 / (50 - 44) = 120 / 6 = 20
So it will take Sam 20 seconds to catch up to Tom.
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an inverse relationship is also called a: select one: a. direct relationship. b. negative relationship. c. proportional relationship. d. positive relationship.
An inverse relationship is also known as a negative relationship, because the correlation coefficient, is negative in an inverse relationship. Correct option is B.
An inverse relationship is a type of relationship between two variables in which they move in opposite directions. As one variable increases, the other variable decreases. In other words, when one variable changes, the other variable changes in the opposite direction.
For example, in the context of physics, the distance between two objects and the gravitational force between them have an inverse relationship. As the distance between the objects increases, the gravitational force between them decreases, and vice versa.
An inverse relationship is also known as a negative relationship. This is because the correlation coefficient, which measures the strength and direction of the relationship between two variables, is negative in an inverse relationship.
A correlation coefficient of -1 indicates a perfect inverse relationship, while a correlation coefficient of 0 indicates no relationship, and a correlation coefficient of 1 indicates a perfect positive relationship.
In contrast, a direct relationship, also known as a positive relationship, is a type of relationship between two variables in which they move in the same direction. As one variable increases, the other variable also increases, and vice versa.
In summary, an inverse relationship is a negative relationship in which two variables move in opposite directions, while a direct relationship is a positive relationship in which two variables move in the same direction.
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ratio of pirates to sailors was 18 to 19. If there were 198 sailors, how many pirates were there?
There were 198 sailors and the ratio of18 pirates, so 198 divided by 19 equals 10.4, meaning there were approximately 176 pirates.
Find the ratio of pirates to sailors
Ratio of pirates to sailors
= 18 : 19
Convert the ratio to a fraction
Ratio of pirates to sailors
= 18/19
Find the number of pirates
Number of pirates
= (18/19) × 198
Number of pirates = 176
The ratio of pirates to sailors is 18 to 19. This means that for every 19 sailors, there are 18 pirates. To figure out how many pirates there are when there are 198 sailors, we can use a proportion. First, set up the proportion with the ratio given. The ratio is 18:19, so the proportion is 18/19 = x/198. Then, cross multiply, 18 x 198 = 19x. Now, divide both sides by 19, and we get 18 x 198/19 = x. Then, solve for x by multiplying both sides by 19, and we get 18 x 198 = 19x. Finally, divide both sides by 198 to get x, and x =176. So, there were approximately 176 pirates.
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is it possible for a system of linear equations with fewer equations than variables to have no solution? if so, give an example.
Yes, it is possible for a system of linear equations with fewer equations than variables to have no solution. For example, consider the system of linear equations: x + y = 1, x + 2y = 3, x + 3y = 4.
The system of linear equations given is:
x + y = 1
x + 2y = 3
x + 3y = 4
This system has two variables (x and y) but only three equations. We can add and subtract the equations to see that the first two equations imply that y = 2, but the third equation implies that y = 1. This is a contradiction, so there is no solution to the system.
To solve this system, we can use techniques such as elimination or substitution. For example, we can subtract the first equation from the second equation to eliminate x, and get:
[tex]x + 2y - (x + y) = 3 - 1[/tex]
[tex]y = 2[/tex]
Similarly, we can subtract the first equation from the third equation to eliminate x, and get:
[tex]x + 3y - (x + y) = 4 - 1[/tex]
[tex]2y = 3[/tex]
[tex]y = 3/2[/tex]
However, we obtained two different values for y, which is a contradiction. As a result, the equation system cannot be solved. In other words, there is no pair of values of x and y that satisfy all three equations simultaneously.
Geometrically, this means that the system of equations represents three planes in three-dimensional space. However, these planes do not intersect at a common point, so there is no solution to the system.
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Dani leaves her house at 08 00 she drives 63 miles to work she drives at an average speed of 27 miles per hour at what time does dani arrive at work
10:40 am
63 mile distance and 27 mph. starting from 8 am
63/27 => 2 (2/3) hours. 2/3 of an hour is also, 40 minutes.
so 8 am plus 2 hours and 40 minutes means 10:40 am
Question 2 2 pts Tests for tuberculosis like all other diagnostic tests are not perfect: QFT-G is one of such tests for tuberculosis Suppose that for the population of adults that is taking the test; 5% have tuberculosis The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. Suppose that POS stands for the test gives a positive result and S means that the adult really has tuberculosis What is the probability of an adult getting a NEG result and truly NOT having tuberculosis? 0.0373 0.0127 0.2230 0.7270
The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.
The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270. This can be calculated using Bayes' Theorem, which states that [tex]P(A|B) = (P(B|A) * P(A))/(P(B)).[/tex]
In this problem, P(A) is the probability of having tuberculosis (5%), P(B|A) is the probability of correctly identifying a person with tuberculosis (74.6%), and P(B) is the probability of getting a positive result (the sum of correctly identifying a person with tuberculosis (74.6%) and incorrectly identifying a person without tuberculosis
Therefore, P(A|B) = 0.7270.
The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.
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Is either x=8 or x=10 solution 4x < 34
Answer:
x=8 is true for the this condition
Step-by-step explanation:
4x<34
if x=8
4*8<34
32<34
which is true
if x=10
40 is not greater than 34, so it not satisfied the condition
how many pattern block trapezoids would create 5 hexagons
The correct answer is "It takes 15 pattern block trapezoids to create 5 hexagons."
Pattern block trapezoids are a type of geometric shape commonly used in math education. They are one of several shapes that can be used to create tessellations, or repeating patterns, on a flat surface. Pattern block trapezoids come in different sizes and are made of different colored plastic or foam, with each color representing a different size and shape. In addition to their use in creating tessellations, pattern block trapezoids are often used to teach geometry concepts such as area, perimeter, and angles. They can also be used to help students develop spatial reasoning skills and problem-solving abilities. The most common set of pattern blocks includes six shapes: the trapezoid, hexagon, square, parallelogram, rhombus, and triangle. These shapes can be combined in a variety of ways to create different patterns and designs, making them a versatile and useful tool for math education.
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What will Amanda pay if she rents a truck and drives 45 miles and splits the total cost with two friends? Explain.
Using division operation, if Amanda and her two friends split the total cost of renting a truck equally, Amanda will pay $47.50.
What is the division operation?The division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.
The division operation involves the dividend (the total cost) divided by the divisor (3 friends), which results in a quotient.
Fixed cost for renting a truck = $120
The variable cost per mile = $0.50
The total miles Amanda and her two friends drove = 45 miles
The variable cost for 45 miles = $22.50 ($0.50 x 45)
The total costs = Fixed + Variable Costs
= $142.50
Cost paid by Amanda = $47.50 ($142.50/3)
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Question Completion:The fixed cost for renting a truck is $120 with a variable cost per mile of $0.50.
From a position 3.5 m above ground level in a building, an an observer measures the angle of elevation of the top of a flagpole to be 48°, and the angle of depression of the foot of the flagpole to be 35°
. a. How far away from the flagpole is the building?
b. How tall is the flagpole?
a. The flagpole is 5 feet away from the building.
b. The height of the flagpole is 8 feet.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
The distance from the building to the flagpole is,
tan35° = 3.5/x.
x = 3.5/0.7.
x = 5 feet.
Now, tan48° = x/5.
x = 5/1.11.
x = 4.5 feet.
Therefore, The height of the flagpole is 4.5 + 3.5 = 8 feet.
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When did Chicago first exceed phoenix in the percentage of calls answers within 10 seconds?
The correct option regarding when Chicago first exceeded Phoenix in the percentage of calls answers within 10 seconds is given as follows:
C. Between September and October.
How to interpret the situation?The output of the graph represents the percentage of calls answered within 10 seconds.
Chicago and Phoenix are represented as follows:
Chicago: Green line.Phoenix: Red line.At the beginning of September, the red line was above the green line, but at the beginning of October, the green line was above the red line, hence the correct option is given by option C.
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The wholesale price for a desk is $162.A certain furniture store marks up the wholesale price by 30%. What is the price of the desk in the furniture store?
Answer:
The price of the desk in the furniture store is $202.8
Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 140.
The probability that a randomly selected adult has an IQ less than 140 is 97.72%.
What is the standard deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
Given that the mean of adults' IQ is μ=100 and the standard deviation is σ=20.
The formula of z-score is z = (X - μ)/σ
Putting the value of μ = 100, σ=20, and X = 140:
z = (140 - 100)/20
z = 40/20
z = 2
From z table, we get the value of z is 0.9772 = 97.72%
P(X<140) = P(z = 2.0) = 97.72%
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The table represents a function.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.
What is f(5)?
–8
–1
1
8The table represents a function.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.
What is f(5)?
–8
–1
1
8
The value of function f(5) is 8.
What do you mean by function?A function is defined as a relation between a set of inputs having one output each. A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
The general representation of a function is y = f(x).
Injective function or One to one function: When there is mapping for a range for each domain between two sets.
Surjective Function or Onto function: When there is more than one element mapped from domain to range.
Polynomial function: The function which consists of polynomials
Inverse function: The function which can invert another function.
Given:
x with entries -4, -1, 3 and 5.
f(-4) = 2
f(-1) = 5
f(3) = 4
f(5) = 8
The value of f(5) is 8.
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Answer: f(5) is -8
Step-by-step explanation:
took the quiz
What is the length of CD
Answer:
Three months to five years
Step-by-step explanation:
look it up
Write a rule for the n th term of the sequence for which a = 30 and r= 1/2
A rule for the nth term of the sequence for which a = 30 and r= 1/2 the 5th term of the sequence is 1.875.
What is the geometric sequence?
A geometric sequence is often referred to as geometric progression or geometric series is defined as a sequential pattern of non-zero numbers in which the following number's value is a multiplication from the preceding number by another constant non-zero number.
The rule for the nth term of a geometric sequence is given by the formula:
aₙ = a * r⁽ⁿ⁻¹⁾
where "a" is the first term in the sequence, "r" is the common ratio, and "n" is the position of the term in the sequence.
In this case, we have "a" = 30 and "r" = 1/2. Substituting these values into the formula, we get:
aₙ = 30 x (1/2)⁽ⁿ⁻¹⁾
This is the rule for the nth term of the sequence with the first term 30 and common ratio 1/2.
To find the nth term of the sequence, we simply plug in the value of "n" into the formula. For example, the 5th term of the sequence would be:
a₅ = 30 * (1/2)⁽⁵⁻¹⁾ = 30 * (1/2)⁴ = 30 * 1/16 = 1.875
Therefore, the 5th term of the sequence is 1.875.
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Coins are placed into a treasure chest, and each coin has a radius of 1.6 inches and a height of 0.0625 inches. If there are 170 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? Round to the nearest hundredth and approximate using π = 3.14.
341.63 in3
106.76 in3
85.41 in3
0.50 in3
963.9 in³ cubic inches volume of the treasure chest is taken up by the coins .
What does math's volume mean?
The volume of a 3D object is the amount of actual space it occupies. It is a 2D shape's 3D equivalent of area. Cubic units, such as cm3, are used to measure it. You may calculate this by multiplying its length, height, and width.
Remember that the volume of a cylinder is given by:
volume = (height)*pi*(radius)^2
Where pi = 3.14
Then here the volume of each coin is:
V = (0.0625 in)*3.14*(1.7 in)^2 = 5.67 in³
And there are 230 coins, so the total volume is
V = 170 * 5.67 in³
= 963.9 in³
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Answer:
Step-by-step explanation:
the answer is 85.41 in^3
I got it right and I got to flvs .
The pivot point (P) of the main supporting arm (AP) of a construction crane is 46 metres above the top of a 96 metre tall office building. When the supporting arm is at an angle of 55° to the horizontal, the length of cable dropping from the point A to the ground is 215 metres. Find the length of the main supporting arm (AP), to the nearest centimetre.
Answer: Let's call the length of the main supporting arm AP = x.
We can use the Pythagorean theorem to find the length of the cable dropping from point A to the ground:
c^2 = x^2 + (46 - 96 + 215)^2
c^2 = x^2 + (175 - 50)^2
c^2 = x^2 + 125^2
c^2 = x^2 + 15625
Since the angle between the main supporting arm and the horizontal is 55°, we can use the trigonometric relationship between the length of the opposite side (the cable) and the length of the adjacent side (the main supporting arm) to find x:
tan 55° = c / x
x / c = tan 55°
x / 215 = tan 55°
x = 215 * tan 55°
The value of x can be calculated using a scientific calculator or by using a table of tangent values. To the nearest centimetre, x = 204 cm.
Step-by-step explanation:
