Answer:
d. [tex]90^{\circ}[/tex]
Step-by-step explanation:
This is the definition of perpendicularity.
DIRECTIONS: Use this information to answer Parts A and B. The width of a rectangle is shown. The length is twice the width. Part A 5-1x Write an expression for the perimeter listing each side separately.
Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.
Define perimeter.In geometry, a shape's perimeter, or overall length, is referred to as its perimeter. The lengths of all a shape's sides and edges are added up to determine its perimeter.
Here,
Given : length = 5 - 1(x) or
=> length = 5-x
Width is twice the length
thus,
=>Width = 2(5-x)
=>Width = 10-2x
So ,To find the perimeter
We use,
=> Perimeter = 2(length + width)
=> Perimeter = 2( 5-x + 10-2x )
=> Perimeter = 2( 15 -3x)
=> Perimeter = 30 -6x
Therefore , the solution of the given problem of perimeter comes out to be the perimeter is represented by the expression of Perimeter = 30 -6x.
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Given the circle below with secants \overline{UVW} UVW and \overline{YXW} YXW . If YW=40, YX=16YW=40,YX=16 and VW=22VW=22, find the length of \overline{UV} UV . Round to the nearest tenth if necessary.
The length of UV in the circle is given as follows:
13.2.
How to obtain the length of UV?We are given two secant segments in the circle for this problem.
For two secants, the product of the lengths of one secant segment and it's external segment equals the product of the lengths of the other secant segment and it's external segment.
Hence, from the circle given by the image presented at the end of the answer, the relation for this problem is given as follows:
(22 + 17) x 17 = (20 + UV) x 20
Hence we must simply solve the expression to obtain the length of UV, as follows:
39 x 17 = 400 + 20UV
663 = 400 + 20 UV
20 UV = 263
UV = 263/20
UV = 13.2.
Missing InformationThe circles are given by the image presented at the end of the answer.
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-50 POINTS- Already asked 3 times someone help pls. Don’t guess either.
Answer:
To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).
A mechanic charges $45 per hour for labor plus $55 for a computer diagnostic test. The mechanic charges a customer $595 to repair a vehicle. How many hours did the mechanic spend on the repair?
Answer:
The mechanic spent 12 hours on the repair.
Step-by-step explanation:
$595-$55=£540. £540 is the total of the amount the mechanic charges for an hour, MINUS the computer diagnostic testTo find out how many hours the mechanic spent on the repair, we have to do $540 divided by $45, which is 12.The mechanic spent 12 hours on the repair.
Determine which two numbers come next in the sequence 5,5,10,15,25, __, __
The two numbers that come next in the sequence 5,5,10,15,25, are 40 and 65.
How can the two numbers that come next in the sequence be calculated?To calculate this , You can figure it out by taking the first number, which is 5. However, since the previous number is 0, the sum is 5, and you proceed in the same manner.
5 + 5 = 10
(5 + 10) = 15
(10 + 15) = 25
(15 + 25) = 40
(25 + 40) = 65
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Parallel, intersecting, and perpendicular
The conditions of the line to be intersecting, parallel, and coincident are explained below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
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.
The types of lines are as follows:
If the slope of the lines is different, then the lines are intersecting lines.If the slope of the lines is the same but the y-intercept of the lines is different, then the lines are parallel lines.If the slope and y-intercept of the lines are the same, then the lines are coincident lines.More about the linear equation link is given below.
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Drag and drop the numbers into the table to complete the table of values for the equation y=4x+9
These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
What exactly is circumcenter?the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.
The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.
The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.
The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.
These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
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Melinda, Zachary, and heather went to the mall to shop for school supplies
Heather spend $33.1 on school supplies.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Melinda, Zachary, and heather went to the mall to shop for school supplies
Melinda spent $14.25 on her supplies.
Melinda=$14.25
Zachary spent $2.30 more than Melinda spent
Zachary=$14.25+$2.3
=$16.55
Heather spent 2 times as much money as Zachary spent
Heather=2×$16.55
=$33.1
Hence, Heather spend $33.1 on school supplies.
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Determine the amount of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15years.
The amount (present value) of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15 years is $80,000.
What is the price of a bond?The price of a bond is its present value.
The present value can be determined as the discounted cash inflows.
In this situation, we can determine the present value of the bond using an online finance calculator as follows:
N (# of periods) = 30 (15 years x 2)
I/Y (Interest per year) = 3%
PMT (Periodic Payment) = $1,200
FV (Future Value) = $80,000
Results:
Present Value (PV) = $80,000.00
Sum of all periodic payments = $36,000.00
Total Interest = $36,000.00
Thus, the amount of the bond is $80,000.
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A biology class examined some flowers in a local meadow. They saw 36 flowers, of which 25% were perennials. How many perennial flowers did the students see?
Answer: nine
Step-by-step explanation: 36 - 25 = 9 or 25% x 1 + 36 = 9
Answer:
9
Step-by-step explanation:
1 first split 36 by 4 because 25% is 1/4
2 once when divided you should get 9 because 9x4 is 36
Mario had 8 1/5
yards of ribbon for a project. Sue gave him 2 3/4 more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?
The closest to the number of yards of ribbon Mario had altogether will be ;
⇒ 11 yards
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
Mario had 8 1/5 yards of ribbon for a project.
And, Sue gave him 2 3/4 more yards of ribbon.
Now,
Since, Mario had 8 1/5 yards of ribbon for a project.
And, Sue gave him 2 3/4 more yards of ribbon.
Hence, Total ribbon for the project Mario have = 8 1/5 yards + 2 3/4 yards
= 41/5 + 11/4
= (164 + 55) / 20
= 219 / 20 yards
= 10.95 yards
≈ 11 yards
Thus, Total ribbon for the project Mario have = 11 yards
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What is the meaning of conditionally promoted in school
a company has issued 8% debentures of rs 10 each at a discount of 10% repayable after 10 years, find out the cost of capital
If a company has issued 8% debentures of INR 10 each at a 10% discount repayable after 10 years. then the cost of capital or pretax cost of debt is 8%.
What is pretax cost of Debt?A bond or other sort of financial instrument that is secured by collateral is referred to as a debenture. Debentures must rely on the issuer's trustworthiness and reputation for support because they lack a collateral backstop. Debentures are commonly issued by both businesses and governments to raise cash or money. The interest paid on these security can be termed as cost of Debt or pretax cost of Debt.
The pretax cost of debt is interest paid on debenture security without giving effect of corporate tax on the rate of interest to be yearly or as per terms and conditions attached to it.
When debt security issued on discount then the loss on issue of these debenture instrument shall also be form part of cost of security or cost of capital.
Thus the year one pretax cost of Debt capital will be Rs. 1 per debenture and 8% cost of debt.
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If a jacket is marked up 75% to be $350 and a month later is 20% off and then two weeks later is 30% off how much money did the company gain or lose
PLEEEEASE HELP!!!!!
280 AND 245 RS the company GAIN,20% OFF it is 280 rs and 30% off it is 245 rs
How to calculate discount price in rupees?For example, you may want to calculate the sale price of a shirt that regularly costs Rs 1,000. If the shirt is 20% off, you must convert 20% to a decimal (20/100 = 0.2). You have Rs 1,000 * 0.2 = Rs 200. You then subtract the discount from the original price as Rs 1,000 – Rs 200 = Rs 800.Discount is the difference between the marked price (list price) and the selling price of an article. Therefore, the formula used to calculate discount is: Discount = List price - selling price.For example, $100 invested today in a savings scheme that offers a 10% interest rate will grow to $110. In other words, $110, which is the future value (FV), when discounted by the rate of 10% is worth $100 (present value) as of todayTo learn more about discount price refers to:
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PLEASE HELP
All numbers less than 17 and greater than or equal to -8
Answer: C
Step-by-step explanation: it says that it's smaller or equal to x and x is smaller than 17
Factorize the expression, 10ab (a − 2b)³ +24ab² (3a − 6b)²
Answer:
226a³b² - 824ab³ + 984b⁴
Step-by-step explanation:
We can factorize the given expression by expanding the two binomials and then combining like terms.
First, expand the two binomials:
10ab (a − 2b)³ +24ab² (3a − 6b)² = 10ab(a³ - 6a²b + 12ab² - 8b³) + 24ab²(9a² - 36ab + 36b²)
Then, combine like terms:
= 10ab(a³ - 6a²b + 12ab² - 8b³) + 24ab²(9a² - 36ab + 36b²)
= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)
= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)
= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)
= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)
= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)
= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)
= 226a³b² - 824ab³ + 984b⁴
Suppose $28,000 is deposited into an account paying 5.25% interest, which is compounded continuously. How much money will be in the account after 4 years if no withdrawals or additional deposits are made?
The formula for continuously compounded interest is:
A = P * e^(rt)
where:
A is the final amount
P is the initial amount (the principal)
r is the annual interest rate (in decimal form)
t is the number of years the interest is compounded
Substituting in the given values, we get:
A = $28,000 * e^(0.0525 * 4) = $28,000 * e^0.21 = $28,000 * 1.23 = $28000*1.23 = 34,540
Therefore, there will be $34,540 in the account after 4 years.
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50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?
1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90
Answer:
3
Step-by-step explanation:
A physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight. A nutritionist recommends that no more than 30% of those calories should come from simple sugars What is the maximum number of calories per day that should come from simple sugars?
Answer:
844.5 calories.
Step-by-step explanation:
If a physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight, and a nutritionist recommends that no more than 30% of those calories should come from simple sugars, the maximum number of calories per day that should come from simple sugars is:
2815 calories * 30% = <<281530.01=844.5>>844.5 calories
So, the maximum number of calories per day that should come from simple sugars is 844.5 calories.
Answer
844.5
Step-by-step explanation:
80+100=180
180÷100=1.80
1.80×2815=844.5
Find the value of x .
Answer:
x = 45°
Step-by-step explanation:
x° + 45° + 90° = 180°
x° + 135° = 180°
x° = 180° – 135°
x° = 45°
i hope this helped
4 glasses cost £24 in total how much do seven glasses cost
Using simple unitary method process in the given problem with the provided values, The answer is £42 .
What is unitary method?The unitary method is a method of solving mathematical problems in which the relationship between a quantity and its unit of measurement is used to find an unknown quantity. It involves expressing the given quantity in terms of a unit, then solving for the unknown quantity in terms of the same unit.
What are arithmetic operators?Arithmetic operators are used to perform basic mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/), and modulus (%). They take numerical values (either literals or variables) as their operands and return a single numerical value. These are widely used in mathematical computations, like in programming languages, spreadsheets and calculator apps.
4 glasses cost £24.
1 glass cost £24/4 = £6
7 glasses cost = £6 * 7 = £42
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Which radicals are already in the simplest form?
Solve the following quadratic equation for all values of xx in simplest form.
4(x^2-5)-1=
4(x
2
−5)−1=
\,\,3
3
The quadratic equation 4(x² − 5) − 1 = 3 has its solutions to be are √6 and -√6
How to determine the solutions to the equation?From the question, we have the following parameters that can be used in our computation:
4(x 2−5)−1=3
Express properly
This gives
4(x² − 5) − 1 = 3
Subtract -1 from both sides of the equation
So, we have the following representation
4(x² − 5) = 4
Divide both sides by 4
This gives
x² − 5 = 1
Subtract -5 from both sides of the equation
So, we have the following representation
x² = 6
Take the square root of both sides
x = ±√6
Hence, the solution is ±√6
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3 2/3 Divided by 1 2/7
Answer:
[tex]2 \frac{23}{27} [/tex]
I wish you luck in your assignments.
While taking a hike 80% or 20 of the participants wore hiking boots. How many participants were on the hike?
20 beacuse you need hiking boots to hike
Answer:
25
Step-by-step explanation:
let x = # of participants on the hike
(.80)x = 20
x = 20/0.80 = 25
What is the value of m in the figure below? If necessary , round your answer to the nearest tenth of a unit
Using the concept of similar triangles, the value of m to the nearest tenth of a unit in the given figure is 6.71.
What are similar triangles?Triangles with the same geometry but different sizes are said to be similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are similar have corresponding sides that are proportionate equal and corresponding angles that are similar.
From the concept of the similar triangle,
3/BD = BD/12
BD² = 12 × 3
BD² = 36
As triangle BDC is a right-angled triangle, use Pythagoras' theorem
m² = BD² + 3²
m² = 36 + 9
m² = 45
m = √45
m = 6.708
m ≈ 6.71
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88 student said they watch TV everyday. This number represents 80% of the students body. What is the total number of students in the student body? And i need you to give me the part,whole,and percent
The total number of students in the student body is 110.
How many students are in the student body?Percentage is the ratio of an amount expressed as a number out of 100. The sign that is used to represent percentage is %.
In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.
In order to determine the total number of students in the student body, divide the number of students that watch TV everyday by the given percentage.
Number of students in the student body = number of students that watch TV everyday / percentage
88 / 80%
= 88 / 0.8 = 110
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Finding area of composite figure
Answer:
73
Step-by-step explanation:
so basically this process is rather easy, okay what u have to do is find the area but since u cant u just have to try your best and go over the answer with a friend, oh you have none? Sorry for assuming, so just ask siri if you have 0 friends, the formula should look a little like this:
A=l*w or A=b*h
which than u would have to add up the circumference (sorry for not mentioning that earlier) so the new formula would be a little like this
A+C=
than thats your answer (it should be 12.)
Use the decimals 2.49, 9.19, and 6.7 to write two different addition facts and two different subtraction facts.
The solution to the equations is
Addition : 2.49 + 6.7 = 9.19 ; 6.7 + 2.49 = 9.19
Subtraction : 9.19 - 6.7 = 2.49 ; 9.19 - 2.49 = 6.7
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 equation be represented as A
Now , the value of A is
Let the three decimals be represented as set x = { 2.49 , 6.7 , 9.19 }
Now , the addition facts are given by equations ,
2.49 + 6.7 = 9.19 be equation (1)
6.7 + 2.49 = 9.19 be equation (2)
And , the subtraction facts are given by the equations ,
9.19 - 6.7 = 2.49 be equation (3)
9.19 - 2.49 = 6.7 be equation (4)
Hence , the equations are solved
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5+1r-2=9
Please explain step by step
Answer: 6
Step-by-step explanation: