Answers
Q=B
R=A
P=C
PQ=CB
QR=BA
Related Questions
Find the area of the surface. The part of the plane x + 2y + 3z = 1 that lies inside the cylinder x2 + y2 = 9.
Answers
The surface area of the plane is π√14 sq. units.
Given plane = x+2y+3z=1 and cylinder = x² + y² = 9
Let J be the projection on the plane x+2y+3z=1
We know that the surface area of an equation is
∫∫j √{1+(∂z/∂x)² + (∂z/∂y)²} dA
It is given that the plane is inside the cylinder.
We can use the coordinates of the cylinder to get
x = r cosθ and y = rsinθ
Therefore,
x² = r²cos²θ
y² = r²sin²θ
Therefore,
x² + y² = r²cos²θ + r²sin²θ
= r²(cos²θ + sin²θ)
= r² [Since cos²θ + sin²θ = 1]
Putting the value of x² + y² in the initial equation we get
r² = 9
or, r = 3
Therefore,
J = {(r,θ)/ 0 ≤ r ≤ 3, 0 ≤ θ ≤ 2π}
Now,
x +2y + 3z =1
or, z = 1/3(1 - x - 2y)
Partially differentiating z with respect to x gives us
∂z/∂x = -1/3
Partially differentiating z with respect to y gives us
∂z/∂y = -2/3
Hence,
Surface Area = ∫∫j √{1+(∂z/∂x)² + (∂z/∂y)²} dA
= ∫∫j √{1+ (-⅓) ² + (-⅔) ²} dA
= ∫∫j √(9+1+4)/√9 dA
= √14 /3∫∫j dA
=√14/2 [2π - 0]
= π√14 sq units
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Identify the measure of angle EHF:
Answers
Answer:
63
Step-by-step explanation:
h=90
90-27=63
Find the vector v with the given magnitude and the same direction as u. Magnitude ||v|| = 51 Direction u = ⟨-8,15
Answers
The vector [v] whose direction is same as that of vector [u] is given as -
[v] = -24i + 45j.
What is an expression? What is a expression? What is a mathematical equation? What is vector?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A vector quantity is a quantity that has both magnitude and direction.
We have the a vector [v] with the given magnitude and the same direction as u.
We can write vector [u] as -
[u] = - 8i + 15j
Unit vector {u} along vector [u] -
{u} = [u] / |u|
{u} = (- 8i + 15j)/17
We can write vector [v] as -
[v] = 51 x (- 8i + 15j)/17
[v] = 3(- 8i + 15j)
[v] = -24i + 45j
Therefore, the vector [v] is given by [v] = - 24i + 45j.
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Lauren and Hazel's families provide money for their school lunch accounts. Hazel starts with $200 in her account. She spends $30 each week on lunches. Lauren starts with $50 in her account and does not spend any of it. Her family adds $20 each week to her account. Write an equation to represent how much money (y) Hazel has in her account after a number of weeks (x).
Answers
y=200-30x
Help with question 13
Answers
The amount of stock that is wasted is given as follows:
1 - 21/64 inches.
How to obtain the amount of stock wasted?The total amount of stock is given as follows:
9 - 7/16 inches long = 144/16 - 7/16 = 137/16 inches long.
The total amount of stock used for the two punches is given by the sum of the two amounts, as follows:
4 - 1/64 + 4 - 3/32 = 8 - 7/64 = 505/64
Then the amount wasted is given by the subtraction of the total amount by the amount used, as follows:
137/16 - 505/64 = 548/64 - 505/64 = 43/64.
The decimal of this is of:
43/64 = 0.671875.
Hence the amount wasted is of:
1 - 43/64 = 64/64 - 43/64 = 21/64
Meaning that the third option is correct.
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What is the meaning of infinitives example?
Answers
Meaning of infinitive generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.
Explanation:
Meaning of infinitive :
Infinitive generally represents the some action or the purpose of the given word.Example of infinitive representing action is:
They will lock the front gate to prevent the house from theft.
To prevent represent the action.
As subject of the sentence.Example: To swim in the deep lake may be dangerous for a person.
As direct object :Example : i like to read in Sanskrit.
As an adverb infinitiveExample : I can't wait to eat.
Therefore, infinitive meaning generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.
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Which description of a figure and its image match the transformation described by (x,y) → (-x+1,y+1)
Answers
Answer:
the figue which is translated one unit up and one unit to the right
Step-by-step explanation:
5. Lenore had a coupon
for 50 cents off each box
of cookies. She bought two
boxes that were $4.50
each and 4 cans of soup.
If her total bill was $16.00,
how much were the cans
of soup?
Answers
Answer: $8 for 4 cans of soup!
Step-by-step explanation:
We know that a box is $4.50 each, but Lenore had a coupon off 50 cents each, so the price of the box is $4
Lenore bought 2 box
4 times 2 = $8
16 - 8 =8
So the 4 cans of soup cost is $8 or $2 each can of soup
How do you get 1/2 of a number?
Answers
Answer: to get 1/2 of a number, simply divide it by 2
Step-by-step explanation: the denominator, or the second digit after the numerator, is the one you use to divide a number. for example 1/3 of 33 = 11, as you divide 33 by 3, or 1/2 of 500 = 250.
908 × 65 please help me with this question
Answers
Answer:
Step-by-step explanation:
59,020
59,020
One thing that would help me with the hundred for multiplication is to “stack em” what I mean by that is to grab 908 and place it on ton of 65
EXAMPLE:
459
x 34
————
And that would be 15,606
First step is to multiply 459 by 4 multiply 4 by every number and after that you multiply everything by 3 but you can’t forget the magic 0 so in this case before adding your second line you add a zero
1. The line parallel to y=2/3x+1
that passes through the point (3, 6)
Answers
The equation of the line is y = (2/3)x + 4
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line.
y = m(1)x + c
The line is parallel to y = (2/3)x + 1
It is in the form of y = m(2)x + c
This means,
m(1) = m(2)
m(1) = 2/3
Now,
The line passes through the point (3, 6).
(3, 6) = (x, y)
y = mx + c
6 = (2/3)3 + c
6 = 2 + c
c = 6 - 2
c = 4
The equation of the line.
y = (2/3)x + 4
Thus,
The equation of the line is y = (2/3)x + 4
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Edgar wants to get ice cream for dessert. He looks up the prices at The Ice Cream Factory and Main Street Scoops. The Ice Cream Factory charges $1.75 per scoop and a $0.75 fee for unlimited toppings. Main Street Scoops charges $2 per scoop and a $0.25 fee for unlimited toppings. Which inequality can be used to find when Main Street Scoops would be the cheaper option?
A. 1.75x + 0.75 < 2x + 0.25
B. 1.75x + 0.75 > 2x + 0.25
C. 1.85 + 0.75x < 2 + 0.25x
D. 1.75x + 0.75 ≥ 2x + 0.25
Answers
1.75x + 0.75 < 2x + 0.25 inequality can be used to find when Main Street Scoops would be the cheaper option.
How do you explain inequality?The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different individuals, it is prone to misunderstanding in public discourse. However, certain distinctions are universal.Related ideas include lifetime inequality (the distribution of incomes over a person's lifetime), inequality of wealth (the distribution of wealth across households or individuals at a particular point in time), and inequality of opportunity (the effects on income of factors that people cannot control, like.1.75x + 0.75 < 2x + 0.25 inequality can be used to find when Main Street Scoops would be the cheaper option.
1.75x + 0.75 < 2x + 0.25
1.75x + 0.75 -0.75 < 2x + 0.25 -0.75.
x< - 0.0068
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Help please.................
Answers
The solution to the expression ( √7 - √2 )² will be - 9 - 2√14. The value of the second part is 2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is ( √7 - √2 )². The expression will be solved as below,
E = ( √7 - √2 )²
E = (√7)² + (√2)² - 2 x √7 x √2
E = 7 + 2 - 2√14
E = 9 - 2√14
The second part will be calculated as,
2/5√(25x3)+(2-√(2x2x6)
2/5 x 5√3 + 2 - 2√3
2√3 + 2 - 2√3
2
The value of the third part will be calculated as,
[tex]\dfrac{(2+\sqrt{2})(\sqrt(10-\sqrt{5}}{(15-10\sqrt{2}}[/tex]
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Identify the quadratic function that is in standard form and has zeros −2 and 8.
f(x) = x2 − 6x − 16
f(x) = x2 + 10x + 16
f(x) = x2 − 6x + 16
f(x) = x2 + 10x − 16
Answers
The quadratic function is f(x) = x² -6x + 16.
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Let the standard form of quadratic function polynomial is ax² + bx + c = 0
And the zeros of the equation is (x +2) and (x-8)
Now to find the polynomial,
we multiply both zeros
(x +2)(x -8)
= x² + 2x -8x + 16
= x² -6x + 16
And the function in the standard form.
Therefore, the quadratic function is f(x) = x² -6x + 16.
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The functions f(x) = x and h(x) = f(x + 7) are graphed on the same coordinate grid. Which
statement below is true? (select one)
a. The graph of f is steeper than the graph of h.
b. The graph of h is steeper than the graph of f.
C. To create h, f is translated 7 units to the right.
d. To create h, f is translated 7 units to the left.
Answers
Answer: d.
Step-by-step explanation:
To create h, f is translated seven units to the left.
Translate a point (x,y) 3 units left and 5 units up. Then translate the image 5 units right and 2 units up. What are the coordinates of the point after the translations?
Answers
Answer:
[tex](x+2, y+7)[/tex]
Step-by-step explanation:
[tex](x,y) \longrightarrow (x-3, y+5) \longrightarrow (x+2, y+7)[/tex]
What does a scale factor of greater than 1 indicate?
Answers
Scale factor of greater than 1 indicates the size of the shape will increases
The scale factor is defined as the ratio between the original size of the figure and the new size of the figure.
The scale factor of the figure maybe greater than 1 or the between 0 and 1
If the scale factor of the figure is between 0 and 1, then the size of the figure will decreases, the new size of the figure will be less than original figure
Similarly, if the scale factor is greater than 1, the size of the figure will increase, new figure will be larger than original figure
Therefore, if the scale factor is greater than 1 the figure will enlarge
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Is the coordinates of a point are 3 and 4?
Answers
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
The coordinates of point A = (-5, -4),
The coordinates of the point B = (-3, 3)
Let the point at the distance 3/4 from A to B = P
The coordinates of point 3/4 from A to B = P
At the x-coordinate, the distance from B to A is = -3-(-5) = 2 units.
At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.
Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)
P = (-5 + (3/4×(2), -4 + 3/4×(7))
P = (-3.5, 1.25)
Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).
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The complete question is -
What are the coordinates of the point 3/4 of the way from A to B?
What additional information could you use to show that δstu ≅ δvtu using sas? check all that apply. uv = 14 ft and m∠tuv = 45° tu = 26 ft m∠stu = 37° and m∠vtu = 37° st = 20 ft, uv = 14 ft, and m∠ust = 98° m∠ust = 98° and m ∠tuv = 45°
Answers
Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees by using congruence of triangles.
What is congruence triangle?Two triangles are congruent if their corresponding sides are the same length and their corresponding angles are the same size.
What exactly is SAS congruence?According to the SAS criterion for triangle congruence, two triangles are congruent if they have two pairs of congruent sides and the included angle (the one between the congruent sides) in one triangle is congruent to the included angle in the other triangle.
Given
See the attachment for the triangle.
What evidence do you have?
SAS is used by STU and VTU.
To demonstrate their resemblance, we must examine the corresponding sides and angles of both triangles.
To begin, UST must equal UVT.
As a result, UST=UVT=98⁰.
Then, UV must equal US.
So:
UV = US = 14⁰
Furthermore, ST must equal VT.
So:
Furthermore, ST must equal VT.
As a result, ST = VT = 200.
Finally, TUV must be equal to TUS.
So: TUV = TUS = 450
Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees.
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in last 20 years, 238 couples have divorced out of a random sample of 500 couples in a certain city. find a 95% confidence interval for the rate of couples who divorced in that city. find the upper bound of the confidence interval (round off to second decimal place).
Answers
The upper bound of the confidence interval is 0.52
What is confidence interval?
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
Out of 500 couples in a given city, 238 couples had divorced in the past 20 years. As a result, the sample proportion is calculated as follows:
[tex]P=238/500 = 0.476[/tex]
As a result, the following 95% confidence interval is calculated for the city's divorce rate: [tex]P +(Z_{a}*(\sqrt{\frac{P(1-P)}{y} } )[/tex]
[tex]Z_{a}= 1.96[/tex]
the upper bound of confidence interval = 0.0438 + 0.476
= 0.52
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hurry please!! - question on attached image
Answers
Answer:
the answer is y=2x+3 hope this helps
I need help with this question
Answers
Answer:b
Step-by-step explanation:
Ann work in a upermarket for $10. 00 an hour. If her pay i increaed to $12. 00, then what i her percent increae in pay?
Answers
Her pay will increase by 20% as a result of the percentage being the difference from the original.
What is Percentage ?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 78% grade if you answered 78 of 100 questions correctly on a test (78/100).
According to the given Information
Another name for the percentage is the signifying hundredths. As a result, 2% is equal to two hundredths, or 2%=2/100=0.02.
According to what has been stated,
Original price: $10
Pay increase = $12
% growth = (10 x 100 - (12 - 10))
⇒ 20%
Hence
Her pay will increase by 20% as a result of the percentage being the difference from the original.
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2: Angle 1 and Angle 4 are vertical angles. If the measure of angle 1 equals 3x + 14 and the
measure of angle 4 equals 5x − 52, what is the measure of Angle 1?
3: Suppose that ∠ = 3x + 8 and ∠ = 2/3x + 62
If ∠ and ∠ are supplementary
angles, what is the measure of ∠?
4:Angle 2 and Angle 3 are vertical angles. If the measure of angle 2 equals 13x + 27 and the
measure of angle 3 equals 9x + 59, find the value of .
Answers
Each part of the question is answered above and the angles are given below.
What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.Given are the angles as mentioned in the question.
[1] -
Since, angle [1] and angle [4] are vertically opposite angles, we can write-
3x + 14 = 5x - 52
14 + 52 = 5x - 3x
2x = 66
x = 33
∠1 = 3x + 14 = 3 x 33 + 14 = 99 + 14 = 113°
∠1 = 113°
[2] -
Since, angle [A] and angle [B] are supplementary angles, we can write-
(3x + 8) + {(2/3)x + 62} = 180
3x + 8 + 62 + (2/3)x = 180
3x + (2/3)x = 110
x{3 + 2/3} = 110
x{(9 + 2)/3} = 110
(11/3)x = 110
x = (110 x 3)/11
x = 30
∠A = 3x + 8 = 3 x 30 + 8 = 98°
∠A = 98°
∠A = (2/3)x + 62 = 2/3 x 30 + 62 = 82°
∠B = 82°
[3] -
Since, angle [2] and angle [3] are vertically opposite angles, we can write -
13x + 27 = 9x + 59
13x - 9x = 59 - 27
4x = 32
x = 8
∠2 = 13x + 27 = 13 x 8 + 27 = 104 + 27 = 131°
∠2 = 131°
∠3 = 9x + 59 = 9 x 8 + 59 = 72 + 59 = 131°
∠3 = 131°
Therefore, each part of the question is answered above and the angles are given above.
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f(x)=x^2. What is g(x)?
Answers
Answer:
g(x) = (1/2x)^2
Step-by-step explanation:
The function of g(x) is stretched in the graph, so the value is going to be less than 1, which eliminates choice A.
Because the graph g(x) lands on the point (2,1), input this in each of the expressions and see which one is true. C is the only one that truly works.
The school is having a fundraiser where each rose sold makes $1.25 in profit.
The school has to pay a flat shipping
cost of 50. How many roses must be
sold to earn a profit of $1000?
Answers
Answer: 800
Step-by-step explanation: 1.25$ x 800 is 1000
Answer:
840
Step-by-step explanation:
$1000+$50=$1050
$1050/$1.25=840
Answer=840
Lyme disease is an infection caused by bacteria. A test for Lyme disease may be affected by other medications and medical conditions. The testing results are summarized in the table.
Tested positive Tested negative Row Totals
Has Lyme disease 53% 17% 70%
Does not have Lyme disease12% 18% 30%
Column Totals 65% 35% 100%
What percentage of all patients who took the test had a true negative result?
35%
30%
18%
12%
Answers
Answer:
its 12%
Step-by-step explanation:
i took the test and got it right
Answer: 17%
Step-by-step explanation:
PLEASE HELP I NEED IT ASAP
Answers
Hope this helps
triangle ABC is being enlarged using a scale factor of 1/2 and center (1,9) to give triangle A' B' C'
Answers
Answer:
When a triangle is enlarged using a scale factor of 1/2 and center (1,9), the resulting triangle will be similar to the original triangle. This means that the angles of the new triangle will be the same as the angles of the original triangle, but the lengths of the sides will be scaled down by a factor of 1/2.
For example, if triangle ABC has vertices at (0,0), (3,0), and (3,4), then the coordinates of the vertices of triangle A'B'C' would be (1,9), (1.5, 9), and (1.5, 9.2), respectively. The side lengths of triangle A'B'C' would be half the length of the corresponding sides of triangle ABC, but the angles would be the same.
It is important to note that the center of the enlargement, (1,9), will not be a vertex of triangle A'B'C'. Instead, it will be the point at which the enlargement is centered, and the resulting triangle will be positioned relative to this point.
Step-by-step explanation:
How many inches are in 32 yards?
Answers
Answer:
1152
why cant you bing it?