Answer:18
Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18
SUBJECT: GEOMETRY
Hello!! Could somebody please solve this for me asap, I'm having a bit of trouble? The problem is shown in the picture.
The length of the side CD is 5.195 cm and the Area of ΔABC is 31.17 cm²
How to use trigonometric ratios?
The basic trigonometric functions are;
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
From the given triangle ABC, we can see that it is a right angle triangle where ∠ACD = 60°, and as such, ∠CAD = 30°.
Thus;
BC/AC = tan 30°
6/AC = 0.5774
AC = 10.39cm
Thus;
CD/AC = cos 60
CD = 10.39 * 0.5
CD = 5.195 cm
Formula for area of a triangle is;
Area = ¹/₂ * base * height
Area = ¹/₂ * 6 * 10.39
Area = 31.17 cm²
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Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?
The probability that the area of the triangle is at most 20 is 5/9
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. Thus area of triangle XYZ is
1/2×12×6=36
Now if the area of the triangle is at most 20 then the required probability is = 20/36
=5/9
Hence, The probability that the area of the triangle is at most 20 is 5/9
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Mr. Smith has saved $1,800 each year for 20 years. A year after the saving period ended, Mr. Smith withdrew $7,500 each year for a period of 5 years. In the sixth and seventh years, he only withdrew $5,000 per year. In the eighth year, he decided to withdraw the remaining money in his account. If the interest rate was 6% per year throughout the whole period, what was the amount he withdrew at the end of the eighth year?
At the end of the eighth year, the amount Mr. Smith withdrew was $41,757.68.
How the ending withdrawal is determined?The amount that Mr. Smith withdrew at the end of the eighth year is a product of a series of computations, involving future value determination.
In this situation, we have used an online finance calculator to determine the future value of the investment at each leg.
First Leg:N (# of periods) = 20 years
I/Y (Interest per year) = 6%
PV (Present Value) = $0
PMT (Periodic Deposits) = $1,800
Results:
FV = $66,214.06
Sum of all periodic payments = $36,000 ($1,800 x 20)
Total Interest = $30,214.06
Second Leg:N (# of periods) = 5 years
I/Y (Interest per year) = 6%
PV (Present Value) = $,
PMT (Periodic Withdrawal) = $-7500
Results:
FV = $46,331.15
Sum of all periodic payments = $-37,500 ($7,500 x 5)
Total Interest $17,617.09
Third Leg:N (# of periods) = 2 years
I/Y (Interest per year) = 6%
PV (Present Value) = $46,331.15
PMT (Periodic Withdrawal) = $-5000
Results:
FV (Final Withdrawal) = $41,757.68
Sum of all periodic payments = $-10,000 ($5,000 x 2)
Total Interest = $5,426.53
Thus, the amount of $41,757.68 was withdrawn by Mr. Smith at the end.
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In a survey, 13 out of 20 teachers respond yesto a proposal for a new after-school club. In the same survey, 37 out of 50 students respond yes. a.Which group is more in favor of the new after-school club, teachersor students? Show your work
Answer: To compare the level of support for the new after-school club between teachers and students, we can calculate the percentage of individuals in each group that responded "yes" to the proposal.
For teachers: 13 out of 20 is equivalent to 13/20 = 0.65 or 65%
For students: 37 out of 50 is equivalent to 37/50 = 0.74 or 74%
Based on the percentage of individuals in each group that responded "yes," we can see that students are more in favor of the new after-school club than teachers. 74% of students responded "yes" to the proposal, while only 65% of teachers responded "yes."
It's worth mentioning that it's important to keep in mind that this comparison is based on the sample size of teachers and students that responded to the survey and not the whole population, also if the sample size isn't representative of the population and not randomly selected it can't be generalized.
Step-by-step explanation:
An item on sale costs 80% of the original price. The original price was 33%
The sale price of the item is given by the equation A = $ 26.40
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the sale price of the item be represented as A
Now , the equation will be
The original price of the item = $ 33
An item on sale costs 80% of the original price
So , the sale price of the item A = 80 % x original price of the item
Substituting the values in the equation , we get
The sale price of the item A = ( 80 / 100 ) x 33
The sale price of the item A = 0.80 x 33
The sale price of the item A = $ 26.40
Therefore , the value of A is $ 26.40
Hence , the sale price is $ 26.40
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help me pls
Angle Relationships
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
Define angle.When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.
Here,
You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.
Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."
For instance, two lines or line segments that cross each other create two pairs of vertical angles.
When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
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) If x, x+10 makes a right angle, find them.
Answer:
x+x+10=90 being Right angle triangle.
2x=90-10
2x=80
x =40
then x+10= 40 + 10
= 50
BRAINLIEST FOR ANSWER UNDER 10 MINUTES The table shown represents a linear relationship.
x 0 1
3
4
y-8-6-20
Based on the table, what is the equation of the linear relationship in slope-intercept form?
Oy=2x-8
Oy = 2x+8
Oy = -2x + 4
Oy=-2x - 4
Answer: y = 2x-8
Step-by-step explanation:
Let's try to determine by substitution method. Starting from the first equation:
y = 2x-8
2·0-8 = -8
2·1-8 = -6
2·3-8 = -2
2·4-8 = 0
The first equation satisfies the conditions of the table.
Compare 8.002 to 8.20. Which is greater?
Answer:
8.20
Step-by-step explanation:
8.20 is greater than 8.002 due to 0.20 being greater than 0.002
helppppppppo please
Step-by-step explanation:
the area of a trapezoid is
(a + b)/2 × x
a and b being the 2 bases. and x, as requested, is the height.
A
it does not matter which base is which, as long as we keep using them consistently.
so, let's assume a is the first base :
a = x + 5
and then for the second base
b = 2x - 1
now we use that in the main formula :
(x + 5 + 2x - 1)/2 × x = (3x + 4)/2 × x = (3x² + 4x)/2
A = (3/2)x² + (4/2)x = (3/2)x² + 2x ft²
B
now the height is increased by 4 ft.
that means we need to replace x by x + 4.
(3/2)(x+4)² + 2(x+4) = (3/2)(x² + 8x + 16) + 2x + 8 =
= (3/2)x² + (24/2)x + (48/2) + 2x + 8 =
= (3/2)x² + 12x + 24 + 2x + 8 =
= (3/2)x² + 14x + 32 ft²
with x being the original height, of course.
A parent function is a linear function of the form y=b true of false
False
Step-by-step explanation:The parent function is the simplest function within a family of functions that defines the general form of that family.
Parent Functions
Parent functions are given in terms of y and x, where y is the output and x is the input. In linear functions, b represents a constant, specifically the y-intercept. Since the form y=b does not have an input it cannot be the parent function of linear lines. The graph of y=b would be a horizontal line with no slope. This does not define the general form of most linear functions. Additionally, since the slope has been changed to zero, it is not considered the simplest form of linear functions.
Linear Parent Function
The true parent function of linear functions is y=x. This function is the simplest linear function and has no transformations. Additionally, when graphed it is a diagonal line that defines the general shape of lines.
To create new linear functions the parent function, y=x, can be transformed by changing the coefficient of x to change the slope or by adding a constant to shift the graph vertically.
4x+5y=-7
-5x-3y=-1
I need help with this question since im not smart
Answer:
To solve this system of equations, you can use the method of elimination. To do this, you can add the two equations together:
4x + 5y - 5x - 3y = -7 - 1
-x + 2y = -8
Then, you can divide both sides of the equation by -1 to solve for y:
x - 2y = 8
y = (x - 8) / 2
Now that you have solved for y, you can substitute this expression back into either of the original equations to solve for x. For example, you can substitute y = (x - 8) / 2 into the first equation to get:
4x + 5((x - 8) / 2) = -7
4x + 5x - 40 = -7
9x = 33
x = 3.67
Now that you have solved for both x and y, you can find the solution to the system of equations:
x = 3.67
y = (3.67 - 8) / 2 = -2.17
So, the solution to the system of equations is x = 3.67 and y = -2.17.
3) Mr. Johnson uses 2.34 yards of yarn to knit a scarf. If Mr. Johnson has a total of 30.42 yards of yarn, how many scarfs will he be able to knit?
she will be able to knit 13 scarfs
Given ,
Mr. Johnson uses 2.34 yards of yarn to knit a scarfMr. Johnson has a total of 30.42 yards of yarnTo Find : Scarfs Mr John will be able to make if he has 30.42 yards of yarn
2.34 yards of yarn = 1 scarf
30.42 yards of yarn = [tex]\frac{30.42}{2.34}[/tex]
= 13 scarfs
Hence , the number of scarfs Mr John will make with 30.42 yards of yarn is 13
2. A gallon of gas cost $3.50 at the
beginning of the month. At the e
of the month it cost $3.75. What
was the percent change in the
price of a gallon of gas?
Answer: 0.071%
Step-by-step explanation:
To get from $3.50 - $3.75, there was an increase of $0.25.
(Sorry if I'm getting the currency bit wrong, I'm British.)
Divide 0.25 by the original cost of 3.50, and you get:
0.07142857142857142857142857142857
Round this and you get a 0.071% increase
Answer:
The percent change in the price of a gallon of gas is 0.0714%.
Step-by-step explanation:
Given;A gallon of gas costs $3.50 at the beginning of the month.At the end of the month it costs $3.75.Here, The price increased from $3.50 to $3.75, a change of $0.25.
To find What is the percent change.Formula[tex] \frac{changed \: \: price}{original \: \: price} \times 100\% \\ [/tex]So,
$0.25 ÷ $3.50 × 100% = 0.0714%
Thus, The percent change in the price of a gallon of gas is 0.0714%.
While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile. She decides to remove this value from further analysis.
What might happen to the mean, median, and mode of the data set after the value's removal?
(select all right answers)
The mode will increase.
The median may stay the same.
The mean will increase.
The mode will stay the same.
The median may decrease.
The mean will decrease.
The required correct options of data set after the value's removal.
1. The mean will increase. 3. The median may stay the same. 5. The mode will stay the same.
What is the value's removal?The Index Sponsor computes the Removal Value in the same way that Fund Interests in the linked Fund are valued.
Here,
While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile.
As for the properties of statistics, Change in the IQR does affect the median and mode, So options 3 and 5 are correct.
And also mean will increase.
Thus, the correct options are shown above.
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Which expression is equivalent to 10 ?
0 x²(√²)
Ox2.2
O
**(√)
5
Mark this and retur
Save and Exit
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Submit
The expression 10+(-8) is equivalent to 10 - 8.
What is expression?Different branches of mathematics exist. The branch of knowledge that deals with numbers and operations is arithmetic. We learned how to add, subtract, multiply, and divide two or more numbers through arithmetic.
Shapes and how they are created with various tools, such as a compass, ruler, and pencil, are the focus of geometry. Another fascinating area of study is algebra, which helps us communicate the numerical and alphabetic aspects of daily life (variables).
Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.
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Full question
What expression is equivalent to 10-8?
What is a remainder
A remainder is the remaining amount of a number than comes out of a division. I'm not sure how to explain it better, so I'll give you an example:
Let's say you want to divide 5 by 2. We know that 5 can't be divided by 2 evenly, it won't give you a whole number. Instead it will give you a decimal 2.5.
In this case, 1 is the remainder and I will explain why! Do the long division for 5/2. 2 fits into 5 two times, so you multiply 2 * 2, which gives you 4. If you subtract that number from 5, you get 1. We know that 2 can't fit into one, therefore, 1 is the remainder. once you start getting into decimals, you can fit numbers into other numbers, which is why technically you can fit 2 into 5, but you can't fit it in evenly, if that makes sense!
I hope this example helps see what a remainder is. It's just the number in a long division that the divisor (in my example, 2 is the divisor) can't fit in!
How many triangles can be formed with the angle measures: 20, 100, and 60 degrees?
There are infinite many triangles that can be formed with the angle measures 20, 100, and 60 degrees
How to determine the number of trianglesFrom the question, we have the following parameters that can be used in our computation:
Angles = 20, 100, and 60 degrees
The above parameters are angles
When only angles are given, the triangle can have as many side lengths as possible
This means that there are infinite many triangles
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someone please help
A model of a railroad car has a Scale Ratio of 1:87.1. If the model railroad car is 1.4 in high, how
tall is the actual railroad car?
Please answer this for me quick it’s due on Monday for me!!!
Answer:
The scale ratio of 1:87.1 means that for every 1 unit of measurement on the model (in this case, inches), there are 87.1 units of measurement on the actual railroad car. This means that the actual railroad car is 87.1 times larger than the model in every dimension. If the model is 1.4 inches tall, the actual railroad car would be 1.4 x 87.1 = <<1.4*87.1=122.54>>122.54 inches tall.
Please help answer question
Answer: x = 9
Step-by-step explanation: To find the value of x, we must understand a few things:
- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.
Now, with that out of the way, I have one more thing to explain.
- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:
22 - 4 = ?
? = 18
18 / 2 = ?
?(x) = 9
Therefore, x = 9
We can check our answer by doing:
| 2(9) + 4 | = 22
2 x 9 = 18
18 + 4 = 22
22 = 22
So, both answers add up, so x = 9
I hope this helps!
10,14,18,22,26 find the 12 term of the sequence
Answer:
30,34,38,42,46,50,54,58,62,66,70
Someone please solve this pageee!!
On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here, the equation from the graphs is
[tex]y^2 = x^8 -7.8x-9,=.43y[/tex]
and y = 8
x = 59
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At a cell phone assembly plant, 82% of the cell phone keypads pass inspection. A random sample of 101 keypads is analyzed. Find the probability that the proportion of the sample keypads that pass inspection is between 0.75 and 0.87.
The z-score for the 0.75 proportion is -1.95.
What is z-score?The Z-score calculates the deviation of the measure from the mean in standard deviations. We seek for the p-value linked with this Z-score after locating the Z-score in the z-score database.
The likelihood that the value of the measure will be less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.
In a set with mean X and standard deviation μ, the z score of a measure X is given by:
Z=(X-μ)/σ
In this problem, we have that:
n=100,p=0.82
So,μ=E(X)=np=100×0.82=82
Therefore, √V(X)=√np×(1-p)=√100×0.82×0.18=3.841
For Finding the probability that less than 75 in the sample keypads pass inspection.
Using continuity correction, this is (P(75-0.5)<=P(74.5)), which is the p-value of Z when X = 74.5.
=>z= (74.5-82)/3.841
=>z= - 7.5/3.841
=>z= - 1.95 has a p-value to 0.
Hence, if a random sample of 100 keypads is analyzed and 75 pass inspection, then the z-score for 0.75 proportion is -1.95
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when a fraction has a small numerator and a bigger denominator what you notice about the percent
when a fraction has a small numerator and a bigger denominator, the percent would be a proper fraction.
What is percent?A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100.
As a result, the percentage denotes a part per hundred. The term % refers to one hundred percent. The symbol “%” represents it.
Therefore, When a fraction has a small numerator and a large denominator, it is a proper fraction.
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Dana's survey showed that 3 out of 8 students preferred pepperoni pizza and
1 out of 8 preferred cheese pizza. How many more of the 72 students surveyed by
Dana preferred pepperoni pizza than preferred cheese pizza?
Answer:
18 more students preferred pepperoni pizza over cheese pizza in the survey.
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] x [tex]\frac{72}{1}[/tex] Can be rewritten
[tex]\frac{3}{1}[/tex] x [tex]\frac{9}{1}[/tex] = [tex]\frac{27}{1}[/tex] = 27 I cross canceled the 8 and 72. They have a common factor of 8. 8 goes into 8 once and 8 goes into 72 9 times.
27 students preferred pepperoni pizza.
[tex]\frac{1}{8}[/tex] x [tex]\frac{72}{1}[/tex] = [tex]\frac{1}{1}[/tex] x [tex]\frac{9}{1}[/tex] = 9
9 students preferred cheese pizza.
27 - 9 = 18
8. If you got 27 questions correct on
a test that has 32 questions, what
percent of the questions did you
correct on the test?
salve for y √(7-x)²+(9-y)²
The solution for y in the equation √(7 - x)² + (9 - y)² is infinite many solutions
How to determine the solution for yFrom the question, we have the following parameters that can be used in our computation:
√(7-x)²+(9-y)²
Express tthe equation properly
So, we have the following representation
√(7 - x)² + (9 - y)²
The above is an expression, not an equation
This means that the value of the variable y can take any value and the equation will be true
In other words, it means that the variable y has infinite many solutions because it is not an equation but it is an expression
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What is the inverse of the function [tex]y=x^{2} +4x+4[/tex]
Answer:
y = 2 ± √x is the inverse but it's not a function. (See note below for additional info)
Step-by-step explanation:
Given the quadratic function:
[tex] \displaystyle{y = {x}^{2} + 4x + 4}[/tex]
We can rewrite the function above using perfect square form:
[tex] \displaystyle{y = {(x + 2)}^{2} }[/tex]
Finding an inverse, we swap the terms of x and y:
[tex] \displaystyle{x = {(y + 2)}^{2} }[/tex]
Square root both sides, solving for y:
[tex] \displaystyle{ \sqrt{x }= \sqrt{ {(y + 2)}^{2}} } \\ \\ \displaystyle{ \sqrt{x }= \left| y+ 2\right| } \\ \\ \displaystyle{ \pm \sqrt{x }= y + 2}[/tex]
Subtract both sides by 2:
[tex] \displaystyle{ \pm \sqrt{x } - 2= y+ 2 - 2} \\ \\ \displaystyle{ \pm \sqrt{x } - 2= y} \\ \\ \displaystyle{y = 2 \pm \sqrt{x} }[/tex]
Therefore the inverse of y = x² + 4x + 4 is y = 2 ± √x.
Note: While it's possible to find the inverse of quadratic function, but the inverse version itself is not really a function. So if you want to go by definition or theorem, you can say there's no inverse function. Otherwise, the answer above is the solution.
9x9 = ? whattttttttttttttttt
Answer:
81
Step-by-step explanation:
9x9 = 81