The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.
What is a Rhombus?A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.
What is the above proof?∠DEC ≅ ∠BFC Reason = All Right Angles with Equal dimensions are congruent.∠C ≅ ∠C Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.Δ DEC ≅ Δ BFC Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.\(\overline {DC}\) ≅ \(\overline {BC}\) Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.ABCD is a Rhombus Reason = Its sides are all congruent.Learn more about Rhombus at;
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0.009 ÷ 0.08 please help me I forgot how to divide decimals
Answer: 0.1125
Step-by-step explanation:
To divide decimals, you move the decimal (.) to the end.
In this case of 0.009 /0.08,
you move the period in 0.08 to the end so it become 8.
And since you moved it two spaces to the right, you do the same for the 0.009 (you move the period 2 spaces to the right), so it becomes 0.9
Then you divide.
Hopefully, that makes sense.
Question 3 of 10
Classify the following triangle. Check all that apply.
11.9 , 7,6,11.9
A.Scalere
B. Right
C. Isosceles
D. Equilateral
E. Obtuse
F .Acute
Answer:
Step-by-step explanation:
An isosceles triangle is a one that has two of its sides equal. Hence option (c) is correct because here two sides have length of 11.9.
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The Earth has a mass of about 6 x 10^24 kg. Neptune has a mass of 1.8 x 10^27kg. How many times bigger is Neptune than Earth
Answer:
300 times bigger.
Step-by-step explanation:
That would be (1.8 * 10^27 ) / (6 * 10^24)
= 0.3 * (10^27/10^24)
= 0.3 * 10^3
= 3 * 10^2
= 300.
This is my little sister’s homework. I have no clue how to do this, and neither does she. Does anyone know? It says evaluate each expression.
Answer:
It's 2.3.
Step-by-step explanation:
The absolute value of a number is always positive, so |-2.3| is equal to 2.3.
omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!
Answer:
The smaller number is 24
The larger number is 45
Step-by-step explanation:
smaller number = x
Larger: 2x - 3
Smaller + larger = 69
x + 2x - 3 = 69 Combine left
3x - 3 = 69 add 3 to both sides
3x - 3+3 = 69+ 3 Combine
3x = 72 Divide by 3
3x/3 = 72/3
x = 24
Larger number = 2*24 - 3
Larger number = 45
If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
(Thanks in advance)
Answer:
The first chocie (0,3), (1,6), (2,9)
Step-by-step explanation:
Just plug each point into the equation and see if it is correct.
y-3 = 3x
for (0,3) --> 3-3=3(0) -->0 = 0 true
for (1,6) --> 6-3 = 3(1) --> 3=3 true
fpr (2,9) -->9-3 = 3(2) --> 6=6 true
step by step 3(p−4) = 6p
Answer:
-4 = p
Step-by-step explanation:
3(p-4)=6p
1. Multiply the 3 by everything inside of the parenthesis.
3*p= 3p // 3*4= 12
3p-12=6p
2. divide both sides by 3 to make all the variables go to one side.
-12=3p
3. Divide both sides by 3 to make the variable stand on its own.
-4=p
What is the reciprocal of -7/16
Answer:
The reciprocal of -7/16 is -0.00892857142Answer:
The reciprocal of -7/16 is -0.00892857142
Step-by-step explanation:
Graph the system below and write its solution.
1
Y=3x+1
- 2x+y=6
Write the equation of the line in fully simplified slope-intercept form.
Answer: y= -3/2 -5
explanation:
The slope is 3/-2, and it slopes down. making it a negative slope/fraction
And the point is on -5 on the Y axis.
Making the answer y= -3/2-5
Explanation? Answer all these ..
Answer:
11. at the 5 minute point the object would have travelled 50 Meters.
12. The average speed of the object is 10 meters per minute.
13. It will take the object 12 minutes to reach 120 Meters.
Explanation:
The object would be the blue line, the numbers on the bottom row are each connected to the numbers on the left side as if it were a graph so for each minute it would be 10 meters. If it were to connect 2 to ten then the answer would be five meters per minute and if the one were connected to the 40 it would be 40 per minute and so on... if more explaining is needed comment down below and i´d be happy to assist you!
the vertical difference between a stair tread nosing and any structure or ceiling above the stairway is known as the _____.
The vertical difference between a stair tread nosing and any structure or ceiling above the stairway is known as the "headroom" or "clearance."
What is meant by "headroom" or "clearance"?Headroom refers to the vertical space between the nosing of a stair tread (the front edge of the step) and any overhead structure or ceiling above the staircase. It is an important consideration in stair design to ensure safe and comfortable passage for individuals using the stairs.
Sufficient headroom allows people to navigate the staircase without bumping their heads or feeling confined. Building codes typically specify minimum headroom requirements to ensure safety and to prevent accidents. Adequate headroom is essential to provide a clear and unobstructed pathway for individuals moving up or down the stairs.
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A popular pizza parlor charges $12 for a large cheese pizza plus $1.50 for each additional topp
total cost, C, of a pizza with T toppings can be represented by C = 1.50T + 12. What is the dom
the context of the problem situation?
The domain of the total cost function C = 1.50T + 12 is the set of non-negative integers.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The domain of the function is all non-negative integers, since the number of toppings on a pizza cannot be negative or a fraction of a topping.
Therefore, the domain is {0, 1, 2, 3, ...}
This means that the function is defined for any non-negative integer value of T.
If the customer orders a pizza with 3 toppings, then the total cost would be C = 1.50(3) + 12 = $16.50.
If the customer orders a plain cheese pizza with no toppings, then the total cost would be C = 1.50(0) + 12 = $12.
Therefore, the domain of the total cost function C = 1.50T + 12 is the set of non-negative integers.
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There where 72 people on one side of soccer stadium and 4 people out of 18 were wearing caps, what fraction is that?
Answer: \(\frac{2}{9}\)
Step-by-step explanation:
4 out of 18 is:
\(\frac{4}{18}\)
but dividing both the top and bottom by 2 gives you:
\(\frac{2}{9}\)
write two mixed so that all rules are applied: one number is larger than the other by 4 2/3, the difference of the numbers is equal to the smaller number, and the sum of the differences is a natural number
Answer:
write 2 mixed whats
Step-by-step explanation:
Which fraction has a value that's equal to 7/8?
A. 15/8
B. 21/24
C. 49/64
D. 56/8
Answer:
B
Step-by-step explanation:
If you divide 7/8 you will get 0.875 which is equivalent to 21/24 which is 0.875.
Unit measure in order from smallest to largest Pounds, kilograms, ounces, grams
The unit measures in order from smallest to largest are as follows: grams, ounces, pounds, kilograms.
The gram is the smallest unit of measurement, followed by the ounce, pound, and kilogram. One gram is equal to 0.035 ounces, while one kilogram is equal to 2.205 pounds. Understanding the relationships between these units can be helpful for converting measurements between them, which is often necessary in fields such as science and cooking.
Pounds and kilograms are both measures of weight or mass, with kilograms being the larger unit. One kilogram is equal to approximately 2.2 pounds.
Ounces and grams are also measures of weight or mass, but are smaller units. One ounce is equal to approximately 28.35 grams.
So if you were to list these units in order from smallest to largest, it would be: grams, ounces, pounds, kilograms.
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which property is needed to solve x/5=13
Answer: Multiplication property of equality
This is the idea that if a = b, then a*c = b*c for any real numbers a,b,c
It allows us to multiply both sides by the same number.
In this case, we multiply both sides by 5 to get
x/5 = 13
5*(x/5) = 5*13 ... multiplying both sides by 5
x = 65
HELP ME PLS! FOR THE FIRST & SECOND ONE! 10 POINTS EACH!!!
Answer:
y=(0,-1)
x= 2/3
Graph: I went to use Math...way and plug up the equation
Step-by-step explanation:
8.2x + 9y + 2(2.5x) + 10xy
plz Help
Answer:
13.2x + 9x + 10xyStep-by-step explanation:
=> 8.2x + 9y + 2(2.5x) + 10xy
=> 8.2x + 9y + 5x+ 10xy
=> 13.2x + 9y + 10xy
Since we can't simplify it from here, 13.2x + 9y + 10xy is our answer.
Find the maximum value of (x,y)=2x2y3+7 on the unit circle.Find the minimum and maximum values of (x,y)=x2y4+4f(x,y)=x2y4+4 subject to the constraint x2+2y2=6.
For the first question, we need to find the maximum value of the function f(x,y) = 2x^2y^3 + 7 on the unit circle. The unit circle is the set of all points (x,y) such that x^2 + y^2 = 1.
To solve this problem, we can use Lagrange multipliers. The idea is to find the maximum value of f(x,y) subject to the constraint that x^2 + y^2 = 1, which can be written as g(x,y) = x^2 + y^2 - 1 = 0. We can write the Lagrange function as:
L(x,y,λ) = f(x,y) - λg(x,y) = 2x^2y^3 + 7 - λ(x^2 + y^2 - 1)
To find the maximum value of f(x,y), we need to find the critical points of L(x,y,λ), which satisfy the following equations:
∂L/∂x = 4xy^3 - 2λx = 0
∂L/∂y = 6x^2y^2 - 2λy = 0
∂L/∂λ = x^2 + y^2 - 1 = 0
From the first two equations, we can solve for λ in terms of x and y:
λ = 2xy^3/x = 3x^2y^2/y
Therefore, 2xy^3/x = 3x^2y^2/y, which simplifies to 2x = 3y. Substituting this into x^2 + y^2 = 1, we get 13y^2/9 = 1, so y = ±√(9/13) and x = ±(2/3)√(13/9).
Plugging these values into f(x,y), we get f(2√13/3,√3/3) = f(-2√13/3,-√3/3) = 137/27. Therefore, the maximum value of f(x,y) on the unit circle is 137/27.
For the second question, we need to find the minimum and maximum values of the function f(x,y) = x^2y^4 + 4 subject to the constraint g(x,y) = x^2 + 2y^2 - 6 = 0.
Again, we can use Lagrange multipliers to solve this problem. The Lagrange function is:
L(x,y,λ) = f(x,y) - λg(x,y) = x^2y^4 + 4 - λ(x^2 + 2y^2 - 6)
To find the critical points of L(x,y,λ), we need to solve the following equations:
∂L/∂x = 2xy^4 - 2λx = 0
∂L/∂y = 4x^2y^3 - 4λy = 0
∂L/∂λ = x^2 + 2y^2 - 6 = 0
From the first two equations, we can solve for λ in terms of x and y:
λ = xy^3/x = x^2y^2/y
Therefore, xy^3/x = x^2y^2/y, which simplifies to x = ±y√2. Substituting this into x^2 + 2y^2 = 6, we get y = ±√(2/3) and x = ±√(4/3).
Plugging these values into f(x,y), we get f(√(4/3),√(2/3)) = f(-√(4/3),-√(2/3)) = 4/3 and f(√(4/3),-√(2/3)) = f(-√(4/3),√(2/3)) = 16/27. Therefore, the minimum value of f(x,y) is 4/3 and the maximum value is 16/27, subject to the constraint x^2 + 2y^2 = 6. To find the maximum value of the function f(x, y) = 2x^2y^3 + 7 on the unit circle, we must consider the constraint given by the unit circle equation: x^2 + y^2 = 1.
To find the minimum and maximum values of the function g(x, y) = x^2y^4 + 4 subject to the constraint x^2 + 2y^2 = 6, we can use the method of Lagrange multipliers. Define a function L(x, y, λ) = x^2y^4 + 4 + λ(x^2 + 2y^2 - 6), where λ is the Lagrange multiplier. To find the critical points, we take the partial derivatives with respect to x, y, and λ and set them equal to zero:
∂L/∂x = 2xy^4 + 2λx = 0
∂L/∂y = 4x^2y^3 + 4λy = 0
∂L/∂λ = x^2 + 2y^2 - 6 = 0
Solve this system of equations to find the critical points, and then evaluate g(x, y) at these points to determine the minimum and maximum values.
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Family is selected at random. find the conditional probability that the size of the family is less than 6 giventhat it is at least 3
The conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.
To find the conditional probability that the size of the family is less than 6 given that it is at least 3, we need to use the formula for conditional probability.
Let's denote A as the event that the size of the family is less than 6, and B as the event that the size of the family is at least 3.
The conditional probability of A given B, denoted as P(A|B), is calculated as follows:
P(A|B) = P(A and B) / P(B)
First, we need to find P(B), the probability that the size of the family is at least 3. Since the family is selected at random, we can assume that all possible family sizes have an equal chance of being selected.
Let's assume the total number of possible family sizes is n. The probability of selecting a family with at least 3 members is the sum of the probabilities of selecting a family with exactly 3 members, exactly 4 members, and exactly 5 members.
P(B) = P(3) + P(4) + P(5)
Next, we need to find P(A and B), the probability that the size of the family is both less than 6 and at least 3. Since any family size less than 6 is also at least 3, P(A and B) will be the same as P(B).
Finally, we can substitute the values into the formula for conditional probability:
P(A|B) = P(A and B) / P(B) = P(B) / P(B) = 1
Therefore, the conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.
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what is the density of 2.4kg of muscle that occupies 30cm^3 of space?
The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.
The density of an object can be calculated using the formula: density = mass/volume. In this case, the mass of the muscle is 2.4 kg and the volume it occupies is 30 cm³. To find the density, simply divide the mass by the volume:
Density = (2.4 kg) / (30 cm³)
Density ≈ 0.08 kg/cm³
So, the density of the 2.4 kg muscle occupying 30 cm³ of space is approximately 0.08 kg/cm³. The density of an object can be calculated using the formula: density = mass/volume. The density of 2.4kg of muscle that occupies 30cm^3 of space is approximately 80g/cm^3.
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What is the effect on total liabilities when a company buys a building in exchange for a 20-year note payable?
When a company purchases a building in exchange for a 20-year note payable, the effect on total liabilities is an increase by the value of the note payable.
When a company acquires a building through a 20-year note payable, it means that the company agrees to make regular payments over the course of 20 years to the seller or a lending institution. This transaction has a direct impact on the company's balance sheet, specifically on the liabilities side. The note payable represents a long-term liability for the company, as it is a debt that needs to be repaid over an extended period.
Upon the purchase of the building, the company records an increase in the building asset account to reflect the acquisition. Simultaneously, the company recognizes a corresponding increase in the note payable account on the liabilities side. This increase in the note payable represents the amount owed by the company for the building purchase. As a result, the total liabilities of the company rise by the value of the note payable.
It is important to note that the company will also incur interest expenses over the 20-year period, which will further impact its financial statements. The interest expense associated with the note payable will be recorded periodically, typically on a monthly or annual basis, depending on the terms of the agreement. This interest expense will be recognized in the income statement and will result in additional costs for the company over the life of the loan. However, the initial effect on total liabilities is primarily the increase in the note payable, representing the outstanding balance owed on the building purchase.
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Consider the given right triangle if A=20 and b =20 then
the volume of a cylinder is 375 pi m^3. if r= 5 m, find its height.
Answer:
Step-by-step explanation:
\(V=h\pi r^2\\ \\ h=\frac{V}{\pi r^2}\\ \\ h={375\pi}{25\pi}\\ \\ h=15m\)
please help! circled numbers only. tysm, will mark brainliest.
Answer:
Please mark as BRAINLIEST
Step-by-step explanation:
2) 1/5 = 3/15
4) 3/5 = 6/10
6) 8/9 = 32/36
8) 2/9 = 36/162
10) 5/12 = 30/72
12) 6/17 = 18/51
14) 9/15 = 3/5
16) 32/48 = 2/3
18) 54/72 = 3/4
20) 20/45 = 4/9
22) 3/4 = 24/32
a fair -sided die is repeatedly rolled until an odd number appears. what is the probability that every even number appears at least once before the first occurrence of an odd
The probability that every even number appears at least once before the first occurrence of an odd is 1/20.
Given:
A fair 6-sided die is repeatedly rolled until an odd number appears.
There are 6! ways to order the 6 numbers and 3!(3!) ways to order the evens in the first three spots and the odds in the next three spots.
so the probability = 3!*3! / 6!
= 3!*3! / 6*5*4*3!
= 3*2*1 / 6*5*4
= 6*1 / 30*4
= 6/120
= 1/20
Therefore the probability that every even number appears at least once before the first occurrence of an odd is 1/20.
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When conducting a significance test in practice, how should you choose the alpha level?.
Use a larger alpha when the consequences of mistakenly rejecting the null hypothesis are more serious. Always use alpha=0.05 since it's the most appropriate for every situation.
The significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant. The researcher determines the significance level before conducting the experiment.
The significance level is the probability of rejecting the null hypothesis when it is true.
For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. Lower significance levels indicate that you require stronger evidence before you will reject the null hypothesis.
Use significance levels during hypothesis testing to help you determine which hypothesis the data support. Compare your p-value to your significance level. If the p-value is less than your significance level, you can reject the null hypothesis and conclude that the effect is statistically significant. In other words, the evidence in your sample is strong enough to be able to reject the null hypothesis at the population level.
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Am I the only one who hates algebra :|
Answer:
No not at all
Step-by-step explanation:
Answer:
Nah
Step-by-step explanation:
I do too, I hate when fractions are included.