The longer ladder can reach 3 8/7 feet higher than the shorter one.
The Proportionality Theory.The longer ladder can reach 4 2/7 feet higher than the shorter ladder. To calculate this, we need to subtract the shorter ladder's height (12 5/7 feet) from the taller ladder's height (16 3/7 feet).We can represent this calculation with a fraction equation, as follows:[tex]\frac{16 \frac{3}{7}}{12 \frac{5}{7}} - 12 \frac{5}{7} = \frac{4 \frac{2}{7}}{1}[/tex]To solve this equation, we first need to convert the fractions into equivalent fractions with a common denominator. In this case, the denominator is 7. This means that the first fraction becomes 16 3/7, the second fraction becomes 12 5/7, and the third fraction becomes 4 2/7.Once we have the fractions in the same denominator, we can now subtract the shorter ladder's height (12 5/7 feet) from the taller ladder's height (16 3/7 feet). This gives us a result of 4 2/7 feet. This means that the longer ladder can reach 4 2/7 feet higher than the shorter ladder.To put this into perspective, if we were to use the ladders to reach a height of 16 3/7 feet, the shorter ladder would only reach 12 5/7 feet, while the longer ladder would reach 16 3/7 feet. This means that the longer ladder can reach 4 2/7 feet higher than the shorter ladder.To learn more about The Proportionality Theory refer to:
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What literary device did Oscar Wilde use?
Oscar Wilde creates a hilarious tone by using puns, situational irony, dramatic irony, satire, and epigrams.
Who is Oscar Wilde?Oscar Fingal O'Flahertie Wills, an Irish poet, and playwright, lived from 16 October 1854 to 30 November 1900.
He wrote in a variety of genres throughout the 1880s before becoming one of London's most well-known playwrights in the early 1890s.
The Picture of Dorian Gray, his plays and epigrams, as well as the circumstances surrounding his meningitis-related early death at age 46 and criminal conviction for gross indecency for consensual homosexual activities in "one of the earliest celebrity trials," is what people will remember him for most.
Using puns, situational irony, dramatic irony, satire, and epigrams, Oscar Wilde establishes a humorous tone.
Therefore, Oscar Wilde creates a hilarious tone by using puns, situational irony, dramatic irony, satire, and epigrams.
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3. ) Copy Center charges $0. 08 a page for machine fed copies and $0. 20 per page for hand-fed copies. I lagan's
bill for 80 copies of his movie script is $13. 00, how many copies of each type were made?
The number of machine fed copies are 25 and the number of hand fed copies are 55. This is solved forming simultaneous equations.
What are simultaneous equations?
Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations. These equations alone could have an infinite number of solutions.
Given cost per page of machine fed copies = $0.08
cost per page of hand fed copies = $0.20
Let,
number of machine fed copies = x
number of hand fed copies = y
Given the total number of copies = 80
So we can write the equation as
x + y = 80 ⇒ (1)
It is also given that the total cost of the movie script is $13
So we can the equation as
0.08x + 0.20y = 13 ⇒ (2)
Solving the simultaneous equations (1) and (2)
From (1),
x = 80 - y
Substituting the above in (2)
0.08(80 - y) + 0.20y = 13
0.12y = 6.6
y = 55
x = 80 - 55 = 25
Therefore the number of machine fed copies are 25 and the number of hand fed copies are 55.
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2x. 4
Find the measure of the
exterior angle shown.
75°
(13x - 1990
Answer:
75 hope it helps you
thank you
Please help me! Urgent, thanks!
The lowest common multiple of 60, 156 and n is 10920. Find the smallest possible value of n.
60 = 2² x 3 x 5
156 = 2² x 3 x 13
10920 = 2³ x 3 x 5 x 7 x 13
Answer:
2 cube into 3 into 5 into 13 into 7
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Answer:
I think a but I'm not sure
Which expression is not equivalent to logp 36? 1. 6 log 2 2. log 9+ Iog, 4 O 3 2 logb 6 4. log 72 logp 2
log 30+ log 6 is not equivalent to log 36
What is equivalent expressions?Equivalent expressions are expressions that perform the same function not with standing their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).
The original phrase is as follows
Log 36
Following that, we write the alternatives (a) log 2+ log 18
Apply the logarithmic rule log 2+ log 18 log (218)
Log 2 plus log 18 log (36)
Remove the bracket
Log 2 plus log 18 log36
(a) Log 2+ Log 18 is the same as log 36.
(b) Log 30 plus log 6
Use the logarithms’ law. 30 logs or more 6 logs (30 x 6)
Log 30 plus log 6 Equals log (180)
Remove the bracket
Log 30-plus log 6-log180
Hence,
(c) Log 30+log 6 does not equal log 36.
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What is a real solution example?
Solutions refers to the answer to the problem, The example of real solution can be the solution for the value of 'x' in a equation.
What do you mean by a solution?In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
example:
x+2=0
x=-2
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A kite is attached to a 20 foot string that is staked to the ground . how far above the ground is the kite?
Answer:
12ft
Step-by-step explanation:
Answer:
The kite is 15ft from the ground
Step-by-step explanation:
The diameter of a circle is 8 cm. Find its area in terms of π.
Answer:
[tex]16\pi[/tex] [tex]cm^2[/tex]
Step-by-step explanation:
Area of a circle is equal to [tex]\pi r^2[/tex], where r is the radius
[tex]A=\pi r^2[/tex]
A diameter is twice the length of the radius. ([tex]8/2[/tex])
So the radius is 4 cm.
[tex]r^2=4^2=16[/tex]
so the Area is [tex]16\pi[/tex]
a) 3.2 ÷ 0.8 = ? please explain how you got it and b) 7.5 ÷ 0.5 also please explain how you got it i'll give the brain thing
Answer: To solve a division problem of the form a ÷ b = c, you need to find the value of c that makes the equation true. This means that if you multiply b by c, the result should be equal to a.
a) In the problem 3.2 ÷ 0.8 = ?, we are looking for the value of c that makes the equation true.
To solve this problem, we can multiply 0.8 by c to find the value of c that makes the equation true:
0.8 * c = 3.2
Dividing both sides of the equation by 0.8, we get:
c = 4
Therefore, the value of c that makes the equation 3.2 ÷ 0.8 = ? true is 4.
b) In the problem 7.5 ÷ 0.5 = ?, we are looking for the value of c that makes the equation true.
To solve this problem, we can multiply 0.5 by c to find the value of c that makes the equation true:
0.5 * c = 7.5
Dividing both sides of the equation by 0.5, we get:
c = 15
Therefore, the value of c that makes the equation 7.5 ÷ 0.5 = ? true is 15.
P.S. I don't need a brainliest, i am just happy that I am helping someone
Step-by-step explanation:
Which equation shows how to use equivalent fractions to evaluate 7/6-4/5
Answer:How do you evaluate equivalent fractions?
Summary:
You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount.
You only multiply or divide, never add or subtract, to get an equivalent fraction.
Only divide when the top and bottom stay as whole numbers.
Step-by-step explanation:
Factor by gcf 5x + 20 please someone
Answer:
5 (x + 4)
Step-by-step explanation:
5x = 5 * x
20 = 5 * 4
5 is the only thing thye have in common, so we put 5 in front and add x + 4
5 (x + 4)
5(x+4) is the correct answer
el numero decimal 3,1 representa a la fraccion 3 entre 10
Answer:
ne cheaso le uprenta singil layu ka bts dung lyr
What is the negation of ∃?
In order to find the negation of an expression we simply put the not operator in front of them . Therefore, the negation of ∃ is that â is not ^ to f.
The term negation means opposite , that is the negation of a statement is the opposite of the given mathematical statement. If we will take the example of P , let P be a statement, then the negation of P will be represented by ~P.
There are two symbols which are used to represent the negation of a statement which are “~” or “¬”. Therefore, ~P is known as the negation of P.
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find x using the trig ratios please
Answer:
12.9
Step-by-step explanation:
cos 72 = 4/x
x = 4/cos72
x = 12.9
Solve for x. The triangles in each pair are similar.
Apply arithmetic operations on both sides of the equation to move the variable to one side and all other values to the opposite side.
How Do You Solve for x?Let's begin with a basic equation: x + 2 = 7.
How may x be obtained on its own?
x + 2 - 2 = 7 - 2 x = 5 after deducting 2 from both sides.
Put the solution, x = 5, back into the equation to confirm it. We get 5 + 2= 7.
Since LHS = RHS
In the triangle, find x.
Use triangle properties or the Pythagorean theorem to find the value of x, the unknown side or angle in a triangle.
Let's use an example to better understand how to solve for x in a triangle.
Using the Pythagorean theorem, we obtain AC2 = AB2 + BC2 where x2 = 72 + 242 x = 49 + 576 x = 625 x = 25 units.
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pls helpp i'll give u brainliest
Answer:
(-5, -1)
Step-by-step explanation:
Equation Form:
x = -5
y = -1
Answer:
Solve the System of Equations
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−5,−1)
Equation Form:
x= −5, y= −1
b) Felipe is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Number in group
Cost (in dollars)
2
10
3
9
15 45
The cost for each person is not always the same.
O The cost for each person appears to be the same.
Predicted number in group for a cost of $50:
Answer:The cost for each person is not always the same. It is not a linear relationship between number in group and cost in dollars. Since we have only 4 rows it's difficult to make an accurate prediction for cost of $50, In addition, we don't have any formula or equation that can represent this data set.
The best way to find out how many people will go to movie with $50 is by looking at the table.
So the answer is, We don't have any information that can give us a prediction of number in group for a cost of $50,
Step-by-step explanation:
Seacausus stadium has a seating capacity for 25,000 spectators. The stadium has 25 exits and can be vacated in 20 minutes. The time taken to exit the stadium varies directly with the number of spectators and inversely with the number of exits. Determine the time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional.
The time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional is 28 minutes
How to determine the time taken for 21,000 spectators to vacate the stadium?
A variation is a relation between a set of values of one variable and a set of values of other variables
Let E, N and T represent the number of exits, the number of spectators and the time taken to exit the stadium respectively
We can write the variation as:
T α N/E
T = kN/E (where k is constant of proportionality)
when N = 25,000, E = 25, T = 20:
T = kN/E
k = TE/N
k = (20×25)/25000 = 0.02
when N = 21,000 and E = 15:
T = kN/E
T = (0.02×21,000)/15 = 28 minutes
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Need help on both plz help me ASAP!
Answer:
graph 1= 3. graph 2= -3
Step-by-step explanation:
the y-intercept is where it cuts the line
therefore,
graph 1=3
graph 2=-3
A horse walks 4224 feet in 12 minutes at this rate how many yards does a horse walk in twelve minutes.
Answer:
1408 yards
Step-by-step explanation:
A horse walks 4224 feet in 12 minutes, so to find out how many yards the horse walks in twelve minutes, we need to convert 4224 feet to yards. Since there are 3 feet in a yard, we can divide 4224 by 3 to find the number of yards:
4224 feet / 3 feet/yard = 1408 yards
So a horse walks 1408 yards in 12 minutes.
Encircle the correct formula in getting the area of the shaded region
Answer:
1. A=bh/2
2. I don’t know, I‘m sorry :(((( but if I had to guess I’d pick A = s x s
3. A = πr² (might be wrong, i’m so sorry)
Step-by-step explanation:
1. The formula for area of a triangle is A = bh/2
2. The formula for area of a square is s x s.
3. The formula for area of a circe is A = πr².
The formula used in getting the area of the shaded region is (1/2)bh, s * s and πr²
What is an area?
An area is the amount of space occupied by a two dimensional shape or object.
1) The area of a triangle = (1/2) * base (b) * height (h) = (1/2)bh
2) Area of square = side (s) * side(s) = s * s
3) Area of circle = π * radius (r)²= πr²
The formula used in getting the area of the shaded region is (1/2)bh, s * s and πr²
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heyy! i’ll give brainliest please help
Answer:
Name as a person
Step-by-step explanation:
Answer:
In the name of a person.
Step-by-step explanation:
The seasons are not written with capital letters unless they form part of a name. For example:
I am leaving in the winter.
I live near Winter Mountain River.
If 4, 6 and 8 and 14, 21, and x are the lengths of the corresponding sides of two similar triangles, what is the value of x
Question 1 of 10
How many lines of symmetry are there in the object pictured below?
A. O
B. 1
C. 3
D. 2
Answer:
B. 1
Because of the shape you can have only one line of symmetry
The length of AB (the minor arc) is 40 cm. What is the circumference of C?
A. 360 cm
B. 120 cm
C. 60 cm
D. 240 cm
E. 6.67 cm
F. 24 cm
Answer: 240 cm
Explanation : the circumference of C is: 6 X 40=240
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pleaseeee helpppppppppp
Answer:
A
Step-by-step explanation:
Fill in the missing number. % of 70 = 63
Hiiooo! Can someone please help with this!❤️:)