Answer:
16 ft
Step-by-step explanation:
The length of the ladder is 16\ ft16 ft
Step-by-step explanation:
Let
L ----> the length of the ladder
we know that
Applying the Pythagoras theorem
L^{2}=15^{2} +6^{2}L
2
=15
2
+6
2
L^{2}=261L
2
=261
L=\sqrt{261}\ ftL=
261
ft
L=16\ ftL=16 ft
In 1995, the standard bus fare in a city was $0.25. In 2022, the standard bus fare was $3.25. Find the percent
increase. (Round to the nearest tenth of a percent.)
Answer: 1200 percent increase
Step-by-step explanation:
Increase = New Number - Original Number
divide the increase by the original number and times 100
3.25-0.25=3
3/0.25=12*100
1200 percent
Please someone help me in 1985, there were 285 cell phone subscribers in the small town of glenwood. the number of subscribers increased by 75% per year after 1985. Find out the number of subscribers in 2008?
If the number of subscribers increases by 75% each year, then the number of subscribers each year is 175% the number of the previous year. So we need to multiply by 1.75 each year to get the next years number.
Since 2008 is 23 years after 1985, we'd have to multiply the 1985 number by 1.75 twenty-three times:
285 (1.75)^23 ≈ 110,845,988
That seems a bit crazy, since Glenwood is a small town, but so is a 75% growth each year for 23 years.
Which one doesn't belong?
1. 5 + 7 = 7 + 5
2. 5 * 7 = 7 * 5
3. 2 = 7 - 5
4. 5 - 7 = 7 - 5
Write a post sharing which equation you think doesn't belong and why.
Answer:
3 does not belong because its not long enough
help asappppp i dont understand graphs
The function that is represented by the graph is defined as follows:
A. f(x) = (x - 1)(x + 2)(x + 4).
How to obtain the function represented by the graph?The function represented by the graph is obtained using the Factor Theorem, as we can identify the roots of the function from the graph.
The Factor Theorem states that the function can be declared according to it's linear factors, as follows:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which:
a is the leading coefficient of the polynomial.[tex]x_1, x_2, \cdots, x_n[/tex] are the roots of the polynomial.From the graph given in this problem, the roots of the polynomial are listed as follows:
-4, -2 and 1.
Hence the function can be defined as follows:
f(x) = (x - 1)(x + 2)(x + 4).
Considering a leading coefficient of 1, option A is correct.
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Khalil earns $106.50 for 6 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings.
The table that represents the relationship between the number of hours Khalil works and his total earnings is Table A.
How to represent the table?The ratio connecting two given values in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
Mathematicians use the constant of proportionality to determine whether a relationship is direct or indirect and what kind of proportionality it is. Equations involving ratios and proportions can be resolved with the aid of the proportionality constant.
It should be noted that the information given relates to a constant of proportionality. In this situation, Khalil earns $106.50 for 6 hours of work.
The amount that will be earned per hour will be:
= Amount earned / Number of hours
= $106.50 / 6
= $17.67
In this case, 7 hours will be:
= $17.67 × 7
= $123.7
The correct option is A.
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reteaching 5-5 using proportional Reasoning (PLEASE HELP)
1. The cost 7 Books is $10. 85
2. He can lay 336 bricks
3. n= 1
4. n= 1
5. n= 18
6. n= 5
7.n= 3
8. n=6
9. n= 6
10. n= 2
11.n= 12
12. n= 66
13. n= 10
14. n= 5
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
1. The cost 7 Books is = 7.75/ 5 x 7
= $10. 85
2. He can lay = 144/3 x 7
= 336 bricks
3. 4/24 = n/6
6 x4 = 24n
n= 1
4. 30/5 = 6/ n
30 n = 30
n= 1
5. n/6 = 27/ 9
9n = 162
n= 18
6. 50/ 70= n/7
n= 5
7. 14/7 = 6/n
2n= 6
n= 3
8. n/15= 2/5
n=6
9. 4/10 = n/ 15
n= 6
10. 4/200 = n/ 100
n= 2
11. 6/n= 5/10
n= 12
12. 32/22 = 96/ n
n= 66
13. 6/3 = n/5
n= 10
14. 2/n = 4/ 10
n= 5
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how to divide 3.5 by 70
calculator is going to be the most accurate
Need some help with this!
Answer:
4 liters
Step-by-step explanation:
We need to first figure out what the proportional value is.
(Y ×? = X)
10(Y) × 2.5 = 25 (X)
If the capacity of X is equivalent to 10 liters, then we need to use the same proportional value to get the number of liters for Y.
10 ÷ 2.5 = 4
Trough Y can contain 4 liters
Pregunta rápida, que responderían cuando alguien dice: "sigue soñando :)"
Answer:
Si es un chiste, me reiría. Pero si es un insulto, agradecería que se preocuparan por mí.
Step-by-step explanation:
What is 1+1
A. 2
B. 3
C. -24,000
D. Some ridiculous number
Answer:
a
Step-by-step explanation:
ik my math
not allowed
a) Find the mode shown below.
15, 8, 21, 2, 12, 22, 19, 8, 19, 8
Answer:8
Step-by-step explanation: Mode is the value or values in the data set that occurs most frequently.
Please help:
given that ∠QRS and ∠EFG are supplementary angles, find M∠QSR and M∠EFG
Anna is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=3+2. 3xy=3+2. 3x, where yy represents the total cost in dollars and cents, and xx represents the number of miles she travels. What could the number 3 represent in the equation?.
Answer:
The number 3 represents the fixed cost in the equation which is the flat charge.
A rectangular box has dimensions 40 cm by 35 cm by 30 cm.
calculate the largest number of cubes of length 10 cm that can be placed inside the box.
The largest number of cubes that can be placed in the rectangular box is 42
How to find the cubes the box can containThe problem is solved by solving for the volume of the rectangular box and dividing by the given size of cube
The formula for the volume of rectangular box is given by
= length * width * height
= 40 * 35 * 30
= 42000 cm³
A cube of length 10 cm has a volume of 1000
= 10 * 10 * 10 = 1000
the largest number of cubes of length 10 cm that can be placed inside the box.
= 42000 / 1000
= 42
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Evan saved $30 on a new TV. If the percent of discount was 20%, how much money did the
TV originally cost?
Answer:
$150
Step-by-step explanation:
we can make a ratio
20/100=30/x
cross multiple
20x=30(100)
20x=3,000
/20 /20
x=150 hopes this helps
Solve each system by elimination: 2x+y=5 3x-2y=4
Answer: 2x+y +5 we know that because if u get 2x+y we do 2xxy and get 2xy
Step-by-step explanation:
How do you write 142/00 as a percentage
Answer: 14200%
Step-by-step explanation:
To convert 142 to percent multiply 142 by 100. The result is 14200 percent, or, using the percent sign, 14200 %.
Put simply, to change 142 to % move the ″.″ two places to the right.
Check out the next plus one section on how to express 142 as a percent. And, in case you have a number different from 142, then use our decimal to percent calculator above.
If our calculator has been of help to you make sure to bookmark it now. Besides 142 into percent, it can convert any decimal to percent and vice versa.
What is 142 as a Percent?
You already know the answer to what is 142 as a percent. Ninety-one as a percent is 14200%.
If you have been looking for 142 as %, 142 in %, 142 in percentage or what is 142 as a percentage then you have also found what you have been looking for.
Note that you can find many decimal to percent conversions, including 142 in percentage, by using the search form in the sidebar.
Enter, for instance, 142 to percents.
BTW: Similar conversions include, for example:
147 as a percent
148 as a percent
149 as a percent
Next we explain how do you write 142 as a percent.
Write 142 as a Percent
To write 142 as a percent multiply 142 by 100 to obtain 14200. Then append the percent sign (%). To learn about the spacing check out the reference section of decimal to percent.
In a table and in texts with space restrictions you write 14200%, whereas in a running text, like this one, you write it spelled out as 14200 percent in American English, and 14200 per cent else.
Particularly in the UK, the abbreviations pc, pct., and pct are also used sometimes, e.g. 14200pc.
These days, the old forms 14200 per centum and per cent followed by a period, 14200 per cent., are hardly seen anymore and can be considered obsolete in daily life.
There is no difference in meaning between the two-word per cent and percent. Choosing between 14200 per cent and 14200 percent is merely a matter of preference.
142 as a Percentage
142 as a percentage of certain number x can be calculated by dividing 142 by x, and multiplying the result by 100. For example, 142 as a percentage of 10 = (142 / 10) x 100% = 1420%.
Feel free to use our decimals to percents calculator below. Enter 142 in the number field, then insert your value in the field labelled “% of”.
To start over, press reset first.
At this stage the 142 in percent conversion will be conducted automatically. Observe that the result is rounded to ten decimal places.
[tex]142/100[/tex] can be written as [tex]142[/tex][tex]%[/tex]%.
The Latin word "per centum," which means "by the hundred," was the source of the English word "percentage." Fractions with a denominator [tex]100[/tex] are called percentages.
A percentage is a certain number or part of every hundred. It is a fraction with a denominator [tex]100[/tex], and the symbol for it is "%."
Finding the percentage of a whole in terms of [tex]100[/tex] is what percentage calculation refers to.
There is no dimension to percentages. As a result, it is known as a dimensionless number.
A fraction or a decimal can also be used to represent a percentage.
Therefore, the answer is [tex]142[/tex]%.
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The correct question is :
How do you write 142/100 as a percentage?
13) An airline know from experience that the ditribution of the number of uitcae that
get lot each week on a certain route i approximately normal with μ = 15. 5 and σ = 3. 6. In one year, how many week would you expect the airline to loe between 10 and 20
uitcae?
The probability of losing 10 to 20 suitcase between a week is 0.8313 by the airline company.
Given what we know,
μ = 15. 5 and σ = 3. 6
Additionally, the weekly distribution of missing baggage along a particular route is roughly average.
z =( x - μ ) / σ
Therefore,
z(20) = (20-15.5)/3.6
= 1.25
P(x < 20)
= P(z < 1.25)
= 0.8944
Therefore, the probability that during a given week the airline will lose between 10 and 20 suitcases = 0.8313
The ratio of good outcomes to all possible outcomes of an event is known as the probability.
The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results
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Find the measure of each angle indicated.
Answer:
answer is 124 degree ....
find the range for 46 22 46 49 45 39 40 42 41 39 40 36
Answer: 27
Step-by-step explanation: 46 22 46 49 45 39 40 42 41 39 40 36
The range is calculated by subtracting the lowest value from the highest value.
So the lowest number is 22 and the highest is 49.
Then we subtract 22 from 49 to find the range.
Convert 1400 pounds into kilograms. Round your answer to the nearest whole number.
Answer:
635 kg
Step-by-step explanation:
1 pounds = 0.453592 kg
1400 = 0.453592 x 1400
=635.0288
=635 kg
a rhombus has sides of length 51 units each and a shorter diagonal of length 48 units. what is the length, in units, of the longer diagonal?
The length of the longer diagonal of the given rhombus with side length 51units and shorter diagonal 48 units is equal to 90units.
As given in the question,
Side length of the given rhombus 's' = 51 units
Length of the shorter diagonal of given rhombus 'a' = 48 units
Let us consider length of the longer diagonal of the given rhombus be 'b'
As per the property of the rhombus:
Diagonals of the rhombus bisects each other at right angle
Triangle formed by side length bisecting diagonals is right angled triangle.
Using Pythagoras theorem we have,
(Side length)² = (a/2)² + (b/2)²
Substitute the values
⇒ (51)² = (48/2)² + (b/2)²
⇒2601 = 576 + (b/2)²
⇒(b/2)² = 2601 -576
⇒(b/2)² = 2025
⇒b/2 = √2025
⇒ b/2 =45
⇒ b = 90units
Therefore, the length of the longer diagonal of the given rhombus is equal to 90units.
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After a reflection of the figure, the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1). What is the line of reflection?
After a reflection of the figure, the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1). What is the line of reflection?
y = 2x
y = –x
x = 2
y = 2
Line of reflection for the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) will be x = 2..
What is mean by Reflection?
Reflection is the process of taking the time to think deeply about the experiences, events, and choices that shape our lives. Reflection allows us to consider how our views and opinions have changed over time, and to take stock of our successes and failures. Reflection can also help us understand our personal values and beliefs and how we can use them to make more informed decisions in the future. Reflection involves looking inward and assessing our thoughts and feelings, as well as looking outward and considering our interactions with the world around us. Taking time for reflection can help us gain insight into our behaviors and motivations, as well as identify areas of our lives that need improvement. It can also help us stay mindful of our goals and stay on the path to achieving them. Reflection is an important part of personal growth and development, and can be a valuable tool for gaining self-awareness and increasing our emotional intelligence.
Given that;
After a reflection of the figure,
The image vertices are A'(5, 1), B'(3, –1), and C'(7, –1).
And, In the figure;
The vertices are A(-1, 1), B'(1, –1), and C'(-3, –1).
Now, When we take the reflection about the line x = 2.
Then, we get the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) of the vertices A(-1, 1), B'(1, –1), and C'(-3, –1).
Therefore, Line of reflection for the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) will be x = 2.
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What is the image point of (0,1) after translation right 5 and up 5 units?
Answer: (5,6)
Step-by-step explanation: 5 units right is adding 5 to your X. 5 units up is adding 5 to your Y.
For left and down, you'd subtract 5. For instance, "What is the image point of (8,9) after a translation of 5 units left, and 5 units down. The answer would be (3,4)
Find the length of the segment. Write the mixed number in simplest form.
Answer:
[tex]1 \, \dfrac{3}{8}[/tex]
Explanation:
It's 1/8 less than 1 1/2.
[tex]1 \, \dfrac{1}{2} - \dfrac{1}{8} = 1 \, \dfrac{4}{8} - \dfrac{1}{8} = 1 \, \dfrac{3}{8}[/tex]
I need your assistance please
Answer:
subtraction property of equality
Step-by-step explanation:
2.0 2.8
2.5 1.1
3.0 –0.8
3.5 –1.2
4.0 –0.3
4.5 0.7
For the given table of values for a polynomial function, where must the zeros of the function lie?
The zeros of the polynomial function should be between
(2.5, 1.1) & (3.0 -0.8) and (4.0, -0.3) & (4.5, 0.7)How to know the zeros of the polynomial functionThe zeros of a polynomial function is the point where the polynomial crosses the x axis
At this point, the y axis has a value of zero. This point can be seen on the graph easily as the graph will show the x intercept,
For the table, examining the values of the y coordinate to see where the signs change will help to know where the zero will lie.
The table shows that the y values changed sign at 1.1 to -0.8 and -0.3 to 0.7 and hence the zeros will lie between (2.5, 1.1) & (3.0 -0.8) and (4.0, -0.3) & (4.5, 0.7)
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seasonality causes comparability problems in ratio analysis. a common solution is to use an average account balance as opposed to an ending account balance. t or f
The given statement is true.
Seasonal inventory or revenue fluctuations that are not based on sales can artificially inflate or deflate the value of the company's assets.
What is Seasonal inventory ?
Products with a seasonal inventory are those that sell more frequently at particular times of the year. Weather, events, and holidays can affect how much demand there is for these products.
Holiday merchandise was probably your first thought when thinking about seasonal inventory. Labor Day weekend, Halloween, and Christmas are a few examples of holiday inventory. Every one of them sells particular goods that people only purchase around the holidays.
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NEED help asap!!help me
Answer:
132 square inches
Step-by-step explanation:
The surface area of a pyramid is the sum of the areas of all of its faces. Since the base of the pyramid is a square with an edge length of 6 inches, the area of the base is 36 square inches (6 inches x 6 inches).
To find the surface area of the pyramid, you also need to find the area of the lateral faces of the pyramid. The lateral faces of a pyramid are the triangular faces that are not the base. The lateral faces of a pyramid are all congruent, meaning that they are all the same size and shape.
To find the area of a lateral face of the pyramid, you can use the formula for the area of a triangle: A = 1/2bh, where A is the area of the triangle, b is the base of the triangle, and h is the height of the triangle.
In this case, the base of the triangle is 6 inches (the edge length of the base of the pyramid) and the height of the triangle is 8 inches (the slant height of the pyramid). The area of each lateral face of the pyramid is therefore 1/2 x 6 inches x 8 inches = 24 square inches.
Since there are 4 lateral faces on the pyramid, the total area of the lateral faces is 4 x 24 square inches = 96 square inches.
To find the surface area of the pyramid, add the area of the base to the area of the lateral faces: 36 square inches + 96 square inches = 132 square inches. Therefore, the surface area of the pyramid is 132 square inches.
Choose the system of inequalities that best matches the graph below.
y
5
4
3
KE
-6-5-4-3-2-1 01 23 4 5 6
-1
IN
03
3
S
X
The inequalities that represent the line in the graph will be y < x - 3 and y = -(2/3)x. Then the correct option is B.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the graph, the blue line has a slope of 1 and the y-intercept is at (0, -3), then the inequality is calculated as,
y < x - 3
The red line is passing through the origin and (3, -2), then the equation is given as,
y - 0 = [(-2 - 0) / (3 - 0)](x - 0)
y = -(2/3)x
The disparities that address the line in the chart will be y < x - 3 and y = - (2/3)x. Then the right choice is B.
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