Answer:
17.5
Step-by-step explanation:
Since the triangles are similar, the side lengths are proportional. One way we can solve this is by finding the scale factor for the triangle on the left to the triangle on the right. We can use the two corresponding sides that we know.
Let x = the scale factor
385x = 175 Divide both sides by 385
x = [tex]\frac{175}{385}[/tex] Simplify by dividing the numerator and the denominator by 35
x = [tex]\frac{5}{11}[/tex]
Take the corresponding side of MK and multiply it by [tex]\frac{5}{11}[/tex] to find MK
38.5 x [tex]\frac{5}{11}[/tex] = 17.5
Plot the point on this function with a y-value of 4.
What is the x-value of this point?
Answer:
x value= 3
Step-by-step explanation:
Hope this helps!!
Kevin uses each of the digits 5, 7, 4 and 9, once and once only, to make
four-digit numbers.
c) What is the largest number that he can make?
d)
What is the smallest even number that he can make?
Answer:
largest number= 9754
smallest number = 4579
Step-by-step explanation:
largest number - 9754
9 is the larger number in 5,7,4,9
7 is the second largest
so you basically count it backwards
smallest number=4579
4 is the smalleat number in 5,7,4,9
so you basically count forward
What is the value of x in this figure?
The value of x in the figure is 5√3.
What is the trigonometry?
Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.
What does cos 30 mean?
The trigonometric function "Cosine" is denoted by the notation "Cos." The definition of cosine is the ratio of a right-angle triangle's hypotenuse to base length (the longest and slant side). Cos (x), where x is the angle formed by the two sides, equals base/hypotenuse, or b/h.
What is the formula of Cos 30?
Cos 30° = √3/2
3/2 is the value of Cos 30°, which is a trigonometric ratio or trigonometric function of a specific angle. The exact value of cos 30 degrees is expressed as 0.8660 roughly.
Cos 30°= b/h
√3/2 = x/10
X= √3/2 × 10
X= 5√3
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At a sale, dresses were sold for $76 each. If the dresses originally cost $200 each, what percentage of its original price was a dress sold for?
According to the given information 62% of its original price was a dress sold.
A percentage of what?A % is a quantity or ratio that, in mathematics, representing a portion of one hundred. A non - dimensional connection between two numbers can be represented in a variety of ways, such as through ratios, fractions, as well as decimals. The sign "%" is frequently put after the number to indicate percentages.
Briefing:Each dress price = $76
If Original price = $200
Formula = (price difference/ original price)100
Prince deference = 200-76 = $124
In percentage :
[tex]\left(\frac{124}{200}\right) \times 100[/tex]
= 12400/200
= 62%
Thus the final answer is 62% .
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(7 × 10) + (7 × 10%) + (7 × 10²) = 700 070.07
Write down a possible set of values for x, y and z.
The equation (7 × 10) + (7 × 10%) + (7 × 10²) = 700 070.07 can be rewritten as:
7x + 0.7y + z = 700 070.07
To find a set of values for x, y, and z that satisfies this equation, we can use trial and error. One possible set of values is:
x = 100
y = 10
z = 7000
If we plug these values into the equation, we get:
(7 × 100) + (7 × 0.1) + (7 × 7000) = 700 070.07
Which simplifies to:
700 + 0.7 + 49000 = 700 070.07
This equation is true, so the values x = 100, y = 10, and z = 7000 are a solution to the original equation.
(4b-7)^2 find the product
Answer:
16b2-56b+49
Step-by-step explanation:
hope this helps
(04.01 MC)
A retail company is studying how employees are divided by job classification, such as employee, manager, and senior manager. Which of the following displays could be used to represent the data, and why?
Box plot; because job classification is categorical
Box plot; because job classification is numerical
Bar chart; because job classification is categorical
Bar chart; because job classification is numerical
Answer:
Bar chart; because job classification is categorical.
Step-by-step explanation:
Categorical data: Data that can be divided into groups (categories).
Numerical data: Data that is in the form of numbers (also called "quantitative data").
Therefore, "job classification" is categorical data since the classifications such as employee, manager, senior manager, etc. are categories rather than numbers.
Box plots are used to show distributions of numerical data values.
Bar charts are used to show a comparison of values across different categories of data.
Therefore, a bar chart should be used to represent the data as the data is categorical.
Answer:
Step-by-step explanation: Bar chart; because job classification is categorical.
Find the annual percentage yield (APY) for the investment. $8000 at 5.75% compounded daily
The annual percentage yield (APY) for the investment $8000 at 5.75% compounded daily is; 5.918%
How to calculate the Annual Percent Yield?
The Annual percentage yield(APY) is defined as the amount of interest you'll earn in one year from a savings account.
Annual percentage yield (APY) is calculated by the usage of the formula;
APY= (1 + r/n )ⁿ – 1
Where;'
r is the said annual interest rate
n is the variety of compounding intervals every year.
Thus, we are given;
r = 5.75% = 0.0575
n = 365 days
Thus;
APY= (1 + (0.0575/365 )³⁶⁵ – 1
APY = 5.918%
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Given m||n, find the value of x ( x+1) (7x-5)
Answer: If two lines are parallel, it means that they have the same slope. Therefore, to find the value of x in this problem, you need to find the slope of line m and line n, and then set them equal to each other.
The slope of a line can be found using the formula:
slope = (y2 - y1)/(x2 - x1)
In this case, you are given the equation of line m in the form "x + 1", and the equation of line n in the form "7x - 5". To find the slope of each line, you can rewrite these equations in the form y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).
For line m, we have:
y = x + 1
The slope of this line is m = 1.
For line n, we have:
y = 7x - 5
The slope of this line is m = 7.
Since line m and line n are parallel, their slopes must be equal. Therefore, we can set these slopes equal to each other and solve for x:
1 = 7
This equation has no solution, which means that there is no value of x that will make these two lines parallel. Therefore, the answer is that there is no solution.
The two statements below are different ways to say that the sides of these similar triangles are proportional.
Complete the equations that go with the statements.
Drop down options
1: e,f
2: q,r
3: p,q,r
4: d,e,f
Step-by-step explanation:
it is simple : it always has to be the corresponding side of the other triangle. all sides must have the same scaling factor.
d/p = e/q = f/r
d/e = p/q
e/f = q/r
f/d = r/p
The equations that go with the statements are; e/f = q/r and f/d = r/p
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.
We want the different ways sides of similar triangles can be shown as proportional.
Corresponding sides
From shorter to longer, the corresponding sides in similar triangles are ...
Smaller ... Larger
b . . . . . . . e
a . . . . . . . d
c . . . . . . . f
d/p = e/q = f/r
d/e = p/q
e/f = q/r
f/d = r/p
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What can you divide to get 1.25
Dividing 1.25 by 1: 1.25 / 1 = 1.25
Dividing 1.25 by 5: 1.25 / 5 = 0.25
Dividing 1.25 by 8: 1.25 / 8 = 0.15625
Dividing 1.25 by 10: 1.25 / 10 = 0.125
Jazmin is completing an art project. She has two pieces of construction paper. The first piece is 444444 cm wide and the second piece is 333333 cm wide.
Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.
How wide should Jazmin cut each strip?
Pls Help ASAP) Willing to give 25 points) Pls show your work) If you don't know pls don't answer.
The value of h(-5) in the given function, h(x) = -3|x - 1| + 4, is h(-5) = -14
Evaluating a functionFrom the question, we are to evaluate the given function for the given value
The given function is
h(x) = -3|x - 1| + 4
We are to determine the value of h(-5).
To determine the value of h(-5), we will substitute -5 for x in the given function.
That is,
h(x) = -3|x - 1| + 4
h(-5) = -3|(-5) - 1| + 4
h(-5) = -3|-5 - 1| + 4
h(-5) = -3|-6| + 4
h(-5) = -3(6) + 4
h(-5) = -18 + 4
h(-5) = -14
Hence, the value of h(-5) is -14
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Reflect LUX across x= -1.
(PLEASE HELP!)
The coordinates will be after applying the transformation, L( 3, 1) --> (-5, 1) U(3, 5), -- > (-5, 5), and X(0, 5) --> (-2, 5)
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The graph is shown in the picture.
From the picture the coordinates are:
L( 3, 1)
U(3, 5),
X(0, 5)
After transformation:
L( 3, 1) --> (-5, 1)
U(3, 5), -- > (-5, 5)
X(0, 5) --> (-2, 5)
Thus, the coordinates will be after applying the transformation,
L( 3, 1) --> (-5, 1) U(3, 5), -- > (-5, 5), and X(0, 5) --> (-2, 5)
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Hannah took out a $600 loan from the bank. At the end of 5 years, she pays back the
principal, plus $60 simple interest. What was the annual interest rate?
Answer: 2%
Step-by-step explanation:
First, take $60 divided by $600, then times 100% = 10% rate for five years
Then take 10 divided by 5 = 2% per year
Augustus Galoop (from Willie Wonka & The Chocolate Factory) LOVED
chocolate. He loved it SO MUCH, he decided to create his very own chocolate
milk He made 30 gallons (he REALLY loves chocolatel). The mixture had to be
perfect, so he started with a recipe of 10% chocolate syrup and 90% milk It
was too weak, so he tried 30% chocolate & 70% milk That was even too
chocolaty for him. "Maybe, If I try 15% chocolate syrup & 85% milk, it'll be
perfect??" So he did, but he forgot how many gallons of chocolate syrup & milk he'd
used for the first two attempts. He DID remember the percentages, though. How
many gallons of chocolate syrup & milk did he use for his final mixture?
Augustus used a total of 12 gallons + 1.8 gallons = 12+1.8=13.8 gallons of chocolate syrup in the three mixtures.
What is a percentage?
Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) besides the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.
Since Augustus used 10% chocolate syrup and 90% milk for the first mixture and 30% chocolate syrup and 70% milk for the second mixture, the total percentage of chocolate syrup he used in the first two mixtures is 10% + 30% = 40%.
Since Augustus made a total of 30 gallons of chocolate milk, he used 30 gallons * 40% =3040.01=12 gallons of chocolate syrup in the first two mixtures.
For the final mixture, Augustus used 15% chocolate syrup and 85% milk. The total percentage of chocolate syrup he used for the final mixture is 15%.
Since Augustus used a total of 12 gallons of chocolate syrup in the first two mixtures, he used an additional 12 gallons * 15% = 1215.01=11.8 gallons of chocolate syrup for the final mixture.
Hence, Augustus used a total of 12 gallons + 1.8 gallons = 12+1.8=13.8 gallons of chocolate syrup in the three mixtures.
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Will give thanks and five stars for work shown and brainliest if multiple answers
The measure of arc PD is 56.
What is a measure of arc?
The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.
Here, we have
Given: DR = 4x +4
PR = 50°
The sum of the measure of arc PR + DR = 180°
50° + 4x +4 = 180°
x = 4
Now we can find the measure of the arc of PD. we put the value of x in 12x+ 8 and we get
12(4) + 8 = 56
Hence, the measure of arc PD is 56.
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Which expression is equivalent to the following complex fraction? startfraction 1 over x endfraction minus startfraction 1 over y endfraction divided by startfraction 1 over x endfraction + startfraction 1 over y endfraction startfraction y + x over y minus x endfraction startfraction (y minus x) (y + x) over x squared y squared endfraction startfraction x squared y squared over (y + x) (y + x) endfraction startfraction y minus x over y + x endfraction.
I believe that x²y²/((y+x)(y+x)) is identical to (1/x-1/y)/(1/x+1/y) based on the expression above.
What is expression?An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.
Here,
Expression:
=(1/x-1/y)/(1/x+1/y)
Option:
=((y+x)/(y-x))
=((y-x)(y+x))/x²y²
=x²y²/((y+x)(y+x))
=(y-x)/(y+x)
From the above expression, I think x²y²/((y+x)(y+x)) is equivalent to (1/x-1/y)/(1/x+1/y).
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Answer: aka (D) edg 2023
Step-by-step explanation:
trust ^.^ hoped this helped
Help with this geometry math please!!
Answer: 5x-3=3x+9=4y+20
2x+6+20=180
answer is 74
Step-by-step explanation:
In transformations, a line of _____ is also a perpendicular bisector.
Answer: perpendicular bisector
Step-by-step explanation: Hope you see it helpful!
Steven entered a number into his calculator.
To this number, he added the square of the original number and the cube
of the original number.
Steven got the answer 182.267
Use a trial and improvement method to find the number that Steven first
entered into his calculator. Show your working.
Show your working
Answer:
??????????????????????
Answer:
5.36^2+5.36^3=182.720256
Step-by-step explanation:
About 20% of software engineers in Silicon Valley earn approximately $50,000 per year.
In a random sample of 80 software engineers, let X represent the number of engineers that earn approximately $50,000 per year.
a. Find the probability that at most 20 earn approximately $50,000 per year.
solve for x -12x-14=24
PLEASE HELP NOW ILL DO ANYTHING
Answer: x= 38/11
Step-by-step explanation: x-12x-14=24
-11x-14=24
Add 14 to both sides
simplfy
-11x=38
Divide both sides by the same factor
x=11-38/11
Answer:
3
Step-by-step explanation:
A point is plotted on the number line at 3. A second point is plotted at 5.
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
PLEASE HELP!!
Answer:
[tex]\huge{\boxed{2 \text{ units}}}[/tex]
Step-by-step explanation:
N.B. I attached an image of the number line as presented by the problem.
The absolute value of a number is its distance from zero. A simple way to say that is that the absolute value of a number is the number made positive and is denoted by "||"
i.e.
|-4| = 4
|4| = 4
|-219| = 219
The distance between two points on a number line is the absolute value of their difference. Thus, simply do:
|5 - 3|
|2|
2
OR
|3 - 5|
|-2|
2
Thus, the length of the segment is simply 2.
Hope it helps :) and let me know if you want me to elaborate.
Mr. Bakie wants to use the interest from his High Savings Account to buy his next TV. The TV will cost $900. He would like his investment to grow over for two and a half years. If he has a rate of 3.5%, how much will he need to invest in order to cover the cost of the TV?
To invest in order to cover the cost of the TV is 964.62.
What is interest?In the simplest terms possible, interest is the cost of borrowing money. It's the portion of a credit card or loan balance you have to pay back to your lender. However, interest can also be paid to you; prominent ways to do so include certificates of deposit and savings accounts.
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
TV price was $900.
3.5% interest rate
Investment period of 2 1/2 years: p (1 +r/100)n 900((1 + 3.5)/100)2 1/2 964.62
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someone help me I need a good grade my mom gonna yell at my if i don't get it ):
The correct justification for the given steps are;
Step 1; Addition property of equality.
Step 2; Subtraction property of equality.
Step 3; Division property of equality.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
For the given condition,
⇒ 200 + 20w = - 100 + 25w
Where, 'w' is number of weeks.
Now,
Since, For the given condition,
⇒ 200 + 20w = - 100 + 25w
Where, 'w' is number of weeks.
Solve for w as;
⇒ 200 + 20w = - 100 + 25w
Apply Addition property of equality,
⇒ 200 + 20w + 100 = - 100 + 25w + 100
⇒ 300 + 20w = 25w
Apply Subtraction property of equality,
⇒ 300 + 20w - 20w = 25w - 20w
⇒ 300 = 5w
Apply Division property of equality,
⇒ 300/5 = 5w/5
⇒ 60 = w
⇒ w = 60
Thus, The correct justification for the given steps are;
Step 1; Addition property of equality.
Step 2; Subtraction property of equality.
Step 3; Division property of equality.
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you have ads personalization enabled for your property, but want to exclude specific events. what does this mean for the data for those events?
This mean for the data for those events is that data will only be used for measurement purposes.
Given :
You have ads personalization enabled for your property, but want to exclude specific events.
You may use digital advertising to help reach people online and drive conversions on your application and website when you enable personalization in analytics .
Example :
By activating you gain the ability to use your analytics audiences to personalize your digital , which can improve the performance of your campaigns.
You can adjust personalization for a specific event type or user property in your analytics property.
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Please help me solve!
Answer: the answer is 2
Step-by-step explanation: he explains how and why he individuals are being studied
The perimeter of a rectangular field is 298 yards. If the width of the field is 65 yards, what is its length?
Answer:
4.6
Step-by-step explanation:
298 divided by 65=4.58....
Find the distance between the point (3, 5) and a line with the equation 5x-3y+10=0
The distance between the points (3,5) and a line with the equation 5x-3y+10=0 is 10/√34 units.
Given that,
We have to find the distance between the points (3,5) and a line with the equation 5x-3y+10=0.
We know that,
We have a formula that is
Let (x₁, y₁) be the point and ax + by + c = 0 be the line.
Then the distance between a point and a line will be
d=|ax₁+by₁+c|/√(a²+b²)
Here,
(x₁,y₁)=(3,5)
a=5, b=-3 and c=10
So, substituting
d=|5(3)+(-3)(5)+10|/√(5²+(-3)²)
d=|15-15+10|/√25+9
d=|10|/√34
d=10/√34
Therefore, the distance between the points (3,5) and a line with the equation 5x-3y+10=0 is 10/√34 units.
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