The coordinates of vertex D of the parallelogram is; (0, 1)
How to find the coordinates of a Parallelogram?We are given the coordinates of the parallelogram as;
A(2,4), B(5,2) and C(3,-1)
Now, we know that the diagonals of a parallelogram bisect each other. So, the midpoint of AC is same as the mid point of BD.
The formula for the midpoint between two coordinates is;
(x1 + x2)/2, (y1 + y2)/2
Thus;
Midpoint of AC = (2 + 3)/2, (4 - 1)/2 = 5/2, 3/2
Midpoint of BD = (5 + x)/2, (2 + y)/2
Thus;
(5 + x)/2 = 5/2
x = 0
(2 + y)/2 = 3/2
2 + y = 3
y = 1
Coordinate of D = (0, 1)
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Find the surface area of a cylinder with radius 5.9 ft and height 4.4 ft. Use a calculator. Round to the nearest tenth.
The surface area of a cylinder with radius 5.9 ft and height 4.4 ft is 381.8 square feet.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
We have to find the the surface area of a cylinder with radius 5.9 ft and height 4.4 ft.
The surface area of cylinder=2πr(r+h)
r=5.9
h=4.4
The value of pi is 3.14
The surface area of cylinder=2×3.14×5.9(5.9+4.4)
=37.052(10.3)
=381.8 square feet.
Hence, the surface area of a cylinder with radius 5.9 ft and height 4.4 ft is 381.8 square feet.
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Martha has a box of assorted chips. There are 2 bags of Doritos, 4 bags of Cheetos, and 5 bags of plain
potato chips.
a. What is the probabilty that Martha will grab a bag of potato chips? Write your answer as an unreduced
fraction & a percent.
b. If Martha grabs a bag of potato chips and takes them to eat with her lunch, what is the probability that her
friend, Jamie, will grab a bag of potato chips out of the box next? Write your answer as an unreduced fraction
& a percent.
c. Is this an independent or dependent event? EXPLAIN.
Marsha uses 8.3 pints of blue paint and white paint to paint her bedroom walls. 3 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls? Express your answer in fraction and decimal form.
Answer:
Step-by-step explanation:
4.8
i got u brainliest please it helps a lot
Emma was ranked 54th in his graduating class of 296 students. At what percentile is Emma’s ranking?
Answer: 54 is 18.24% of 296
Step-by-step explanation:
54:296*100 =
(54*100):296 =
5400:296 = 18.24
Now we have: 54 is what percent of 296 = 18.24
Question: 54 is what percent of 296?
Percentage solution with steps:
Step 1: We make the assumption that 296 is 100% since it is our output value.
Step 2: We next represent the value we seek with x
Step 3: From step 1, it follows that 100% = 296
Step 4: In the same vein, x% = 54
Step 5: This gives us a pair of simple equations:
100% = 296 (1)
x% = 54 (2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have
100% over x% = 296 over 54
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% over 100% = 54 over 196
x=18.54
show that the wave function y=e^(b(x-vt)) is a solution of the linear wave equation (eq. 16.27), where b is a constant
To show that the wave function y=e^(b(x-vt)) is a solution of the linear wave equation (eq. 16.27), we need to plug the wave function into the equation and see if it satisfies the equation.
The linear wave equation (eq. 16.27) is given by:
∂^2y/∂x^2 = (1/v^2) ∂^2y/∂t^2
Plugging in the wave function y=e^(b(x-vt)) into the equation, we get:
∂^2(e^(b(x-vt)))/∂x^2 = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2
Taking the second derivative with respect to x, we get:
b^2 e^(b(x-vt)) = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2
Taking the second derivative with respect to t, we get:
b^2 e^(b(x-vt)) = (1/v^2) b^2 v^2 e^(b(x-vt))
Simplifying, we get:
b^2 e^(b(x-vt)) = b^2 e^(b(x-vt))
This shows that the wave function y=e^(b(x-vt)) satisfies the linear wave equation (eq. 16.27) and is therefore a solution of the equation.
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i need help with this one?
Answer: No, because not all of the corresponding sides are proportional
Step-by-step explanation:
If you set up ratios for corresponding sides, you will see they all evaluate to different numerical results. This means that the sides are not in a fixed ratio, which leads us to conclude the the shapes are not scalar multiples of each other. Two of those angles are congruent though!
The bag of pretzels contains four pounds. Two pounds were eaten on Monday, and 6 ounces were eaten on Tuesday. How many ounces of pretzels remain in the bag? (1 pound = 16 oz. )
Answer:
26 oz
Step-by-step explanation:
4 lb x 16 oz/lb = 64 oz
64 oz - (2 lb)(16 oz/lb) - 6 oz = 26 oz are left
Which procedure correctly simplifies the expression 2(4x + 3) + (x - 3)?
To simplify the expression 2(4x + 3) + (x - 3), we need to use the distributive property of multiplication over addition, and then combine like terms.
The expression 2(4x + 3) + (x - 3) contains parentheses and addition and multiplication operations, so we need to follow the order of operations to simplify it. The order of operations is:
1. Simplify any expressions inside parentheses.
2. Evaluate any exponents.
3. Perform multiplication and division, from left to right.
4. Perform addition and subtraction, from left to right.
Let's follow these steps to simplify the expression,
1. Simplify any expressions inside parentheses.
There are two sets of parentheses in the expression: (4x + 3) and (x - 3).
We can use the distributive property of multiplication over addition to eliminate the parentheses:
2(4x + 3) + (x - 3) = 8x + 6 + x - 3
2. Evaluate any exponents,
There are no exponents in the expression.
3. Perform multiplication and division, from left to right.
There is no multiplication or division to perform.
4. Perform addition and subtraction, from left to right.
We can now simplify the expression by combining like terms:
8x + 6 + x - 3 = (8x + x) + (6 - 3) = 9x + 3
Therefore, the simplified expression is 9x + 3.
In summary, the correct procedure to simplify the expression 2(4x + 3) + (x - 3) is to use the distributive property to eliminate the parentheses, and then combine like terms to obtain the simplified expression 9x + 3.
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according to internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while the remaining 10% are legitimate. a system administrator wishes to see if the same percentages hold true for the e-mail traffic on her servers. she randomly selects e-mail messages and checks to see whether or not each one is legitimate. (unless otherwise specified, round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 12.34%). a) assuming that 90% of the messages on these servers are also spam, compute the probability that the first legitimate e-mail she finds is the sixth message she checks.
The probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.
What is probability?
The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.
Here, we have
Given: according to internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while the remaining 10% are legitimate.
For each message, we have the following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four are all spam, each with a 90% probability.
The fifth is legitimate, with a 10% probability.
P = (0.9)⁴×0.1
P = 0.0656
Hence, the probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.
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2
1²/
3
in all did Jane study for the two tests?
Last weekend Jane studied 4
x
x
3
A 8-2-201
8-hours
7
3
8- hours
4
B 8
C 911212
с
hours
11
D
8 hours
12
1 of 5
08:14
1
hours for her history final and 4
hours for her math exam. How many hours
4
Ne
The total number of hours that Jane studied for her two tests were 8 ¹¹ / ₁₂ hours
How to find the number of hours ?To find the number of hours that Jane studied, you first need to convert the hours studied for history and math, from mixed fractions to improper fractions.
4 ² / ₃ hours :
= ( 4 x 3 + 2 ) / 3
= 14 / 3 hours
4 ¹ / ₄ hours :
= ( 4 x 4 + 1 ) / 4
= 17 / 4 hours
Add up both hours by using a common denominator of 12 :
= ( ( ( 12 / 4 ) x 17 ) + ( ( 12 / 3 ) x 14 ) ) / 12
= ( 51 + 56 ) / 12
= 8 ¹¹ / ₁₂ hours
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The full question is:
Last weekend Jane studied 4 2 3 hours for her history final and 4 1 4 hours for her math exam. How many hours in all did Jane study for the two tests?
I would really appreciate your help. Thank you.
Answer:
75
Step-by-step explanation:
trust me bro
Convert (-z-2)^2 into a quadratic trinomial and (-n+4)^2 and (-m-10)^2
(please help)
The quadratic trinomial of the given expressions are z² + 4 + 4z, 16 + n² - 8n, m² + 100 + 20m respectively.
What do you understand by Quadratic Trinomial?A trinomial is an algebraic expression that has three terms. An algebraic expression consists of variables and constants of one or more terms.
A polynomial is an algebraic expression that has one or more terms and is written as [tex]a_0x^n + a_1x^{ n - 1} + a_2x^{n-2} + ...+ a_n x^0[/tex] in the standard form. Where [tex]a_0, a_1, a_2, ....,a_n[/tex] are constants and n is a natural number.
A quadratic trinomial is a type of algebraic expression with variables and constants. It is expressed in the form ax² + bx + c, where x is the variable and a, b and c are non-zero real numbers. A quadratic trinomial also describes the discriminant D where it defines the quantity of an expression and it is written as D = b² - 4ac.
Given:
(-z - 2)²
⇒ [-(z + 2)]²
⇒ (z)² + (2)² + 2(z)(2)
⇒ z² + 4 + 4z
(4 - n)²
⇒ (4)² + (n)² - 2(4)(n)
⇒ 16 + n² - 8n
(-m - 10)²
[-(m + 10)]²
⇒ (m)² + (10)² + 2(m)(10)
⇒ m² + 100 + 20m
So, the expressions are converted into quadratic trinomial.
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find the volume of the cylinder 9in and 5in
706.5 in³
Step-by-step explanation:The volume of a shape describes the amount of space a shape takes up.
Volume Formula
For a cylinder, the volume formula is V = πr²h. In this formula, V represents the total volume. Additionally, π represents the constant pi, which is approximately 3.14. The variable r represents the radius. Remember that radius is the distance from the center of the circle to the edge. Finally, h is the height of the cylinder.
Solving for Volume
The diagram shows that the radius is 5in. We know this because the distance from the center to the edge of the circle is 5in. Additionally, the height is 9in. Now, we can plug these values into the formula.
V = π(5)² * 9V = 225πV ≈ 706.5For this calculation, I used 3.14 for π. The unrounded volume in terms of pi is 225π.
The volume of the cylinder is 706.5 in³.
geometric: you vs serena williams* you are playing serena williams (who has one hand tied behind her back) in tennis. your probability of losing is 98% and thus probability of winning is 2%. you will stop playing after you beat her. what is the probability you win on the 20th game played?
Probability determines the likelihood of an event occurring: P(A) = f / N. Odds and probability are related but odds depend on the probability. You first need probability before determining the odds of an event occurring.
P(A) = f / N.
probability = 2%/100=0.0002
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.
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Kurram was born on June 12, 2002, and his brother was born on February 10, 2004. Who is the elder among them and by how many months?
Answer:
Kurram is elder by 19 months
!URGENT HELP! 100 points to any who are willing ^-^
Consider the function f(x) = [tex]2^{x}[/tex]. Find b so that the graphs of each of the functions listed are the same as the graph of function f.
• [tex]g(x) = 4^{bx}[/tex]
• [tex]h(x) = 8^{bx}[/tex]
• [tex]j(x) = (\frac{1}{2}) ^{bx}[/tex]
Side note:
To whom it may concern!
I do deeply appreciate all your help if you did or were willing to help me! Thank you for taking the time out of your day and life to bring aid to my little situation! Bless your kind soul.
An equilateral triangle is similar to a scalene triangle.1) Always2) never3) sometimes
Option 3) Sometimes is the correct answer, Sometimes an equilateral triangle is similar to a scalene triangle.
If the respective sides are proportional and the corresponding angles are congruent, two triangles are comparable. An equilateral triangle has three congruent sides and three congruent angles, so any triangle that is similar to an equilateral triangle must also have three congruent angles. However, a scalene triangle has no congruent sides and no congruent angles, so it is possible for a scalene triangle to be similar to an equilateral triangle only if it has the same angle measurements as an equilateral triangle, but with different side lengths. Therefore, a scalene triangle can be similar to an equilateral triangle, but it is not always the case.
In general, if two triangles are similar, it means that they have the same shape but possibly different sizes. In the case of an equilateral triangle and a scalene triangle, if they are similar, then it means that the scalene triangle has the same angles as the equilateral triangle, but its sides are of different lengths. So it is possible for a scalene triangle to be similar to an equilateral triangle, but not in all cases.
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composition is sometimes referred to as a(n) . 1) is-a relationship. 2) has-a relationship. 3) many-in-one relationship. 4) one-to-many relationship.
Composition is sometimes referred to as has-a relationship.
A form of aggregation, a composition association relationship represents a whole-part relationship. The lifetime of the part classifier is a function of the lifetime of the whole classifier, according to a composition association relationship.
Data typically only flows in one direction (from the whole classifier to the part classifier) in a composition association relationship. For instance, if a student is removed from a class that has a composition association relationship with a schedule class, the schedule is also removed.
Any association may be named to describe the type of connection between the two classifiers; however, names are not required if association end names are used.
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Find the value of each variable show proofs
The sides of the right triangle are as follows:
x = 18 units
y = 15.6 units
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the sides of the right triangle using trigonometric ratios
tan 30° = opposite / adjacent
tan 30° = 9 / y
cross multiply
y = 9 / tan 30
y = 15.5884645362
y = 15.6 units
Let's find x
sin 30 = opposite / hypotenuse
sin 30° = 9 / x
x = 9 / 0.5
x = 18 units
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Using the image below, identify the following angles:
Column A
1.
<1 and <4
2.
<2 and <6
3.
<1 and <8
4.
<3 and <5
Column B
a. Corresponding
b. Alternate Exterior
c. Same-Side Interior
d. Vertical
Answer:
1) Vertical angles
2) Corresponding
3) Alternate exterior
4) Same-Side Interior
Step-by-step explanation:
Nicole james and jenny shared one - third of pizza. What fraction of the the whole pizza did each of them receive
The fraction of pizza that each of them gets out of the whole pizza is 1/9.
What is meant by a fraction?
The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. A piece or sector of any quantity is another name for the fraction. Some of the different types of fractions are:
proper fractions, improper fractions, mixed fractions and so on.
Given 1/3rd portion of the pizza is shared by Nicole, James and Jenny.
Let us are assuming they shared the 1/3rd portion equally among themselves.
Then,
1/3 pizza = 3 people
1 person = 1/(3*3) = 1/9
Therefore the fraction of pizza that each person gets out of the whole pizza is 1/9.
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question 2
help me plsssss
Answer:
∠ CAB = 144°
Step-by-step explanation:
the central angle CAB is twice the measure of ∠ BDC , that is
∠ CAB = 2 × 72° = 144°
The graph represents the amount of money, in thousands, that you make over a
time period of years. According to the graph, what is the original price you invested?
Answer:
$2,000
Step-by-step explanation:
The initial investment price is given by the y-value where the graph intersects the y-axis
This is at y = 2
Since the scale is in thousands of $, that would mean $2,000 as the original price
Identify the function shown in this graph. PLEASEEE.
The function shown in this graph is y = x + 4
How to determine the function shown in this graphFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see a straight line
This means that the graph is a linear function
This can be represented as
y = mx + c
From the graph, we have
c = 4 (because the graph intersects the y-axis at y = 4)
m = 1 (because a unit change in x gives a unit change in y)
So, we have
y = x + 4
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The perimeter of a rectangle is 30 inches. The width of the rectangle is two-thirds of its
length, as shown.
What are the length and the width of the rectangle? Check your solution.
Answer:
The length is [tex]9[/tex] inches and the width is [tex]30[/tex] inches.
Step-by-step explanation:
The perimeter of the rectangle is [tex]2x + \frac{4x}{3} = 30[/tex]. We multiply [tex]3[/tex] by both sides which will give us [tex]6x + 4x = 90[/tex]. Adding, we have [tex]10x = 90[/tex]. Dividing [tex]10[/tex] by both sides will give us [tex]x = 9[/tex]. The length of the rectangle is [tex]9[/tex], and the width is [tex]\frac23 \cdot 9 = 6.[/tex] Checking our answer, we have [tex]6 + 6 + 9 + 9 = 30.[/tex] Therefore, the length of the rectangle is [tex]\boxed{9 \text{ inches}}[/tex] and the width of the rectangle is [tex]\boxed{30 \text{ inches}}[/tex].
Hope that helps!
Ok I know it’s late but I really need help with these problems and no one can help me so can someone please help and explain. I know it’s a lot but I’m really confused, thank you so much.
answers are on the picture
Step-by-step explanation:
Explain why 2. 8x0. 5 only one decimal place in the produc
Only one decimal place in the product of 8x0. 5 because the final zeros in the product do not change the value of the number.
One decimal place to the left of the decimal point is the ones place. One decimal place to the right of the decimal place is the tenths place.
This is a result of the rules of significant figures. These are the digits of the numbers that matter. For operations involving multiplication, the product should have the same significant numbers with the least significant numbers of the given data. In this case, that would be 0.5. Since 0.5 has one significant figure, then the product should be reported with one significant number. That should be 4.0.
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1 Triunghiul dreptunghic ABC, A = 90°, este înscris într-un cerc de rază 13 cm.
Ştiind că AC = 10 cm, calculați:
a perimetrul și aria triunghiului;
b distanțele de la centrul cercului la laturile AB şi AC.
i don't speak that language so i don't know what your saying. im sorry
Cans of soda are packaged in boxes containing the same number of cans.
There are 36 cans in 4 boxes.
a) How many cans are there in 7 boxes?
b) How many boxes are needed to package 99 cans of soda?
a)
63 cans in 7 boxes.
b)
11 boxes are needed for 99 cans.
What is a unit rate?It is a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
36 cans in 4 boxes.
This means,
1 box = 36/4 cans
1 box = 9 cans
Multiply 7 on both sides.
7 box = 63 cans ______(1)
1 box = 9 cans
Multiply 11 on both sides.
11 box = 99 cans ______(2)
Now,
From (1) and (2)
a)
63 cans in 7 boxes.
b)
11 boxes are needed for 99 cans.
Thus,
63 cans in 7 boxes.
11 boxes are needed for 99 cans.
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5. Pilihan ganda5 menit1 ptQ. An equilateral triangle has an altitude of 15 m. What is the perimeter of the triangle? Leave your answer in radical form.Pilihan jawaban30√3 m10√3 m5√3 m30 m
If an equilateral triangle has an altitude of 15 meters, then the perimeter of the equilateral triangle is 30[tex]\sqrt{3}[/tex] meters
The altitude of the equilateral triangle = 15 meters
The equilateral triangle is the triangle with equal side. The interior angle of the equilateral triangle will be 60 degrees. Number of vertices and edges will be three . The line of symmetry is 3
The altitude of of the equilateral triangle h = [tex]\sqrt{3}[/tex]a /2
Where h is the altitude of the equilateral triangle
a is the side of the equilateral triangle
Then the equation will become
15 = [tex]\sqrt{3}[/tex] a /2
[tex]\sqrt{3}[/tex]a = 15 × 2
Multiply the terms
[tex]\sqrt{3}[/tex]a = 30
Move [tex]\sqrt{3}[/tex] to the right hand side of the equation
a = 30 / [tex]\sqrt{3}[/tex]
a = 10[tex]\sqrt{3}[/tex] meters
The perimeter of the equilateral triangle = 3 × 10[tex]\sqrt{3}[/tex]
= 30[tex]\sqrt{3}[/tex] meters
Therefore, perimeter of the equilateral triangle is 30[tex]\sqrt{3}[/tex]
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