Answer:
shown below
Step-by-step explanation:
a) V = h(pi)r²
let x = height
and c = the constant radius
V1 = 2x(pi)c²
V2 = x(pi)c²
let c = random number, such as 2
let x = 3
2x(pi)4
x(pi)4
pi(4) = 12.57
3 x 12.57 = 37.7
6 x 12.57 = 75.4
We can compare these ans realise that the cylinder with double the height will also have double the volume.
b) SA = h(pi)2c
SA1 = 2x(pi)2c
SA2 = x(pi)2c
let c = 2
let x = 3
2(3)(pi)(2(2))
6(pi)4
24(pi)
3(pi)(2)(2)
3(pi)(4)
12(pi)
I don't need to finish the calulation to see that this is also halved. So the surface area of the one with the double length is twice the surface area of the one with a smaller height.
Comparatively, both the volume and surface area are doubled when the height is doubled.
QED.
Which sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent?A)reflection and dilationB)reflection and rotationC)rotation and reflectionD)translation and rotation help please
The sequence of transformations will be relection and dilation. Then the correct option is A.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself and it maintains some spatial correlation between figures.
The sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent.
Reflection does not change the size and shape of the geometry.
Rotation does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
Dilation does not change the shape but changes the size of the geometry.
Then the correct option is A.
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a rectangular prism is 5m long, 4m wide, and 6m hight. what is the sum of the lengths of its edges?
Answer:
60
Step-by-step explanation:
4(5+4+6)
4(15)
60
Please please help! translate the phrase into a variable expression. use the letter p to name the variable. if necessary, use the asterisk (*) for multiplication and the slash (/) for division
... the total number of parrots in the jungle and the 2 parrots your neighbor owns ...
The expression p+2 will denote the statement given
What is a Variable ?A variable is a unknown quantity in an equation , which is used to denote the parameter that needs to be determined.
It is given that
the total number of parrots in the jungle and the 2 parrots your neighbor owns
Let p be the total parrots in the jungle
p+2 will denote the statement given
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Help with Pre Calculus
Answer:
The first option
Step-by-step explanation:
The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.
So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. [tex]x(2x^2-x-15)[/tex]. So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\[/tex]. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15
[tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(-15)}}{2(2)}\\\\x=\frac{1\pm\sqrt{1-4(2)(-15)}}{4}\\\\x=\frac{1\pm\sqrt{121)}}{4}\\\\x=\frac{1\pm11}{4}\\\\x=\frac{12}{4}\\x=3\\\\x=\frac{-10}{4}\\x=-\frac{5}{2}[/tex]
The composition Do,0.75(x,y). Do,2(x,y) is applied to LMN to create L”M”N”
Transformation involves changing the position and size of a shape.
The true statements are:
∠m≅∠m'Δlmn≅Δl'm'n'The coordinates of n" are .N''(3,-1.5)The complete question is as follows:-
The composition do,0.75(x,y) ∘ do,2(x,y) is applied to △lmn to create △l''m''n''. which statements must be true regarding the two triangles? check all that apply. ∠m ≅ ∠m'' △lmn ~ △l''m''n'' △lmn ≅ △l''m''n'' the coordinates of vertex l'' are (-3, 1.5). the coordinates of vertex n'' are (3, -1.5). the coordinates of vertex m'' are (1.5, -1.5).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
The coordinates of the triangle are:
L =(-1,2)
M = (-1,-1)
N = ( 2,-1)
The transformation rule is given as:
do 0.75 (x,y) 2 (x,y)
The transformation rule is a dilation by a factor of 0.75, and then a factor of 2.
Uniform dilation changes the size of a shape, but the angles remain unchanged. This means that:
∠l≅∠l''
∠m≅∠m''
∠n≅∠n''
Δlmn⇒Δl'm'n'
The above highlights mean that:
The angles of both triangles are congruent
The triangles are similar
Next, we apply the rule on the coordinates of the triangle
L'' = 0.75 x 2 x (-1,2)
L'' = ( -1.5,3)
M'' = 0.75 x 2 x (-1,-1)
M'' = ( -1.5 , -1.5)
N'' = 0.75 x 2 x (2,-1)
N'' = (3 , -1.5)
Hence, the true statements are: The coordinates of n" are.
∠m≅∠m'Δlmn≅Δl'm'n'The coordinates of n" are . N''(3,-1.5)Read more about transformations at:
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Which of the following is an example of a quadratic equation?
A. y = 216+6
B. x²-64 = 0
C. y = 4x+6
D. x+10 = 33
Answer: B
Step-by-step explanation:
A quadratic equation has degree 2.
Solve: −4b+4b≥6(−5b+7)−3(b+3)
Answer:
Inequality Form:
b ≥ 1
Interval Notation:
[1,∞)
Step-by-step explanation:
2. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays.
$7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125? I
Write a system of inequalities to represent this situation.
Answer:
Look down below and you will know the answer↓:
Step-by-step explanation:
He will have to work as between the range (of 20,0) and (0,20) points to earn more than $125.
So, What is inequality?
Inequality means is the relationship between two expressions that are not equal, so employing a sign such as ≠ “is not equal to,” > “greater than,” or < “less than.”.
Since then: Liam can work at most 20 hours a week, but he also needs to earn at least $125. His dog-walking job pays $7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125.
He Let the Dog walking hours are represented by x and Car wash hours will be represented by y. The inequality will be formed as:
7x + 11y ≥ 125
x+y = 20
When we plot these two equations on the graph, we will get the range for the time from (20,0) and (0,20).
We Suppose that we will take a random point-like (5,15) when we put this value in the inequality, we get the total earning greater than $125.
7x + 11y ≥ 125
7 (5) + 11 ( 15 ) ≥ 125
35 + 165 ≥ 125
200 ≥ 125
Therefore, He has to work between the range (of 20,0) and (0,20) points to earn more than $125.
Mark me as brainlist, thanks me, and rate. Hope it helps you!!!3. Error Analysis A classmate began an indirect
proof as shown below. Explain and correct
your classmate's error.
Given: AABC
Prove: LA is obtuse.
Assume temporarily that LA is acute.
Solve for x.
x2 + 2x + 1 = 0
Answer:
x = -1
Step-by-step explanation:
factor and you get
(x + 1)(x + 1) or (x + 1)^2
now set it equal to zero
x + 1 = 0
subtract one from both sides
x = -1
Find the measure of angle AEC.
Answer:
∠ AEC = 49°
Step-by-step explanation:
the sum of the angles in Δ ACE = 180° , that is
∠ AEC + 90° + 41° = 180°
∠ AEC + 131° = 180° ( subtract 131° from both sides )
∠ AEC = 49°
Answer:
49°
Step-by-step explanation:
<AEC = 180°_(41°+90°)
=180°_131°
<AEC= 49°
**90° (Complementary Angles)**
[And if u add: 41°+90°+49°= 180°]
{180° is the area of all triangles}
Hope I helped :)
Workers in an office of 40 staff were asked
their favourite type of take-away.
The results are summarised in the table.
Take-away
Pizza
Curry
Fish & chips
Kebab
Other
Frequency
9
6
11
10
4
Angle
a
b
с
d
e
What fraction of a person is one degree?
Give your answer in its simplest form.
Answer:
1/
Step-by-step explanation:
There are 360 degrees in a circle. There are 40 people in this survey. Each person is 9 degrees, so 1 degree is 1/9 of a person.
I need help with this math question (pic induced)
Answer:
A
Step-by-step explanation:
Set the equation equal to bx.
[tex](3x + 3)(ax - 2) - {x}^{2} + 6 = bx[/tex]
[tex]3a {x}^{2} - 6x + 3ax - 6 - {x}^{2} + 6 = bx[/tex]
Cancel out the constants
[tex]3 {ax}^{2} - 6x + 3ax - x {}^{2} = bx[/tex]
In order to cancel out the quadratics, we must solve for a.
[tex]3 {ax}^{2} - {x}^{2} = 0[/tex]
[tex]3 {ax}^{2} = {x}^{2} [/tex]
[tex]3a = 1[/tex]
[tex]a = \frac{1}{3} [/tex]
So plug in 1/3 for a.
[tex]3( \frac{1}{3} ) {x}^{2} - 6x + 3( \frac{1}{3} )x - {x}^{2} = bx[/tex]
[tex] - 6x + x = bx[/tex]
[tex] - 5x = bx[/tex]
[tex]b = - 5[/tex]
Question 4 of 10
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
B and D
Step-by-step explanation:
A is not a intersecting angles they are like doodles, B makes intersecting lines, C doesnt intersect properly its only like a Y with and extra angle and D is absolutely perfect. So, thats why its B and D
What is the cosiner fade when the sign of fada equals 2/5
The value of cosine theta (cosθ) for the given triangle is determined as 4.58/5.
Complete side lengths of the triangleFor a given sine value of a triangle, the remaining side length of the triangle can be calculated as follows;
sinθ = opp/hypo = 2/5
opposite side = 2hypotenuse side = 5Adjacent side of the triangleb² = 5² - 2²
b² = 21
b = 4.58
Value of cosine θ
Cosθ = adj/hypo
Cosθ = 4.58/5
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A group of 35 people are running a race. The top 9 finishers advance to the finals. The number of possibilities for this situation involves a combination. A group of 35 people are running a race. The top 9 finishers advance to the finals. The number of possibilities for this situation involves a combination. True False
Answer:
false
Step-by-step explanation:
falswe
PLS HELP ME OUT THANK YOU I’m studying for my mid-term!!
Answer:
∠ ABD = 20°
Step-by-step explanation:
since BD bisects ∠ ABC , then
∠ ABD = ∠ CBD ( substitute values )
3x - 1 = 34 - 2x ( add 2x to both sides )
5x - 1 = 34 ( add 1 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Then
∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°
Find the value of x to the nearest tenth.
Answer: 44
What is [tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] ?
[tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] is an abbreviation for how to making finding the angle measurements of right triangles easier!
[tex]S\frac{O}{H}[/tex] is also known as sine. Using the opposite side length of the triangle [O] and the hypothenuse [H], can help you find the missing angle measurement of a triangle.
C is cosine and T is tangentA is adjacent side lengthAs stated before, this abbreviation is typically used to help find missing angles, but in this question, you already have your angle measurements. You are missing a side length.
Using the angle 54° as a reference point, the side length 32 is adjacent to it, so you have [A]. With A, you can use either Cosine or Tangent.
The missing side is opposite the 54° angle, so you have [O]. The only ratio with O and A belongs to Tangent, so we will use this ratio to solve for the missing side.
Write this equation down and use your calculator to solve for x:
*make sure your calculator is in degrees*
tan (54°) = [tex]\frac{x}{32}[/tex]
32 × tan (54°) = x
44.04 ≈ 44 =x
NEED SOME HELP ASAP PLEASE!!
Step-by-step explanation:
if it is cloudy, then it is snowing. False. This is obviously not true since sometimes it's just cloudy and it's also cloudy when it rains.
all quadrilaterals are rectangles. False. A quadrilateral has four straight sides which don't have to be parallel to each other unlike a rectangle which has four straight sides with all four sides being parallel to one other side.
All chocolates like students? False? Not sure if I'm writing the converse correctly for this one but if I am this isn't true because chocolate doesn't have feelings...
All triangles with two or more congruent angles are a right triangle. False. This is only true when those two congruent angles add up to 90 which is when they're both 45. But they could also both be 30, 29, 28, etc... which won't result in a right triangle.
Answer:
If it is cloudy, then it is snowing.
Counter-argument: It can be cloudy in the summer.
If a figure is a quadrilateral, then it is a rectangle.
Counter-argument: Trapezoids are not rectangles.
If someone likes chocolate, then they are a student.
Counter-argument: many people like chocolate who are not students.
If a triangle has 2 or more congruent angles, then it is a right triangle.
Counter-argument: Equilateral tr6iangles have 3 congruent angles.
None are right angles.
Step-by-step explanation:
Converse statements reverse the If Then in the original.
Answer? Having trouble understanding this question
Answer:
[tex]\frac{k+5}{k-2}[/tex]
Step-by-step explanation:
[tex]\frac{1-\frac{25}{k^2} }{1-\frac{7}{k}+\frac{10}{k^2} }[/tex]
multiply numerator and denominator by k² to eliminate fractions
= [tex]\frac{k^2-25}{k^2-7k+10}[/tex] ← factor numerator and denominator
------------------------------
k² - 25 ← is a difference of squares
= (k - 5)(k + 5)
k² - 7k + 10
= (k - 5)(k - 2)
------------------------------
= [tex]\frac{(k-5)(k+5)}{(k-5)(k-2)}[/tex] ← cancel (x - 5) on numerator / denominator
= [tex]\frac{k+5}{k-2}[/tex]
Which best describes the function on the graph?
O direct variation; k =1/4
O direct variation; k = 4
O inverse variation; k =1/4
O inverse variation; k = 4
The option that best describes the graphed function is: D. inverse variation; k = 4
What is an Inverse Variation?Given two variables x and y has an inverse variation, the equation that models the relationship of the inverse variation is: y = k/x, where k = xy.
This means that as x increases, y decreases. This is the same for the graph given. So, it is an inverse variation.
When x = 2, y = 2. Therefore:
k = (2)(2)
k = 4
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How do u calculate pythagoras therorem
Answer:
a^2+b^2=c^2
Step-by-step explanation:
You can apply this formula to any quadratic equation.
The Pythagorean Theorem is basically a way to find the side of a right triangle from the other two sides.
Take a look at this triangle labeled, a, b, c. (attachment)
Side a and b are called the legs. The largest side, c is called the hypotenuse.
In order to find a side, we have to use the formula…
a^2 + b^2 = c^2Let’s do an example.
Consider the following triangle.
(attachment)
We want to find side c, which is actually the hypotenuse as it is unknown.
In order to find the missing side, we have to use the formula or the Pythagorean theorem. We substitute our values into a and b, while leaving the c-side as it is because that is what we are trying to find.
[Math Processing Error]
What does 13=c mean? It means that the missing side, c, from the triangle above is 13.
Fatoumata just accepted a job at a new company where she will make an annual salary of $43000. Fatoumata was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Fatoumata make as a salary after 3 years working for the company? What would be her salary after tt years?
Fatoumata's salary after 3 years will be $58,000.
Fatoumata's salary after tt years will be $43,000 + (5,000tt).
What is Fatoumata's salary?
The linear equation that can be used to determine Fatoumata's salary after the passage of time is:
Initial salary + (yearly increase x number of years)
$43,000 + 5000t
$43,000 + 5000(3) = $58,000.
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The second number in an ordered pair that represents the position of a point relative to the vertical axis is called ______________.
It is called the y-coordinate
The point itself is called a coordinate, vertically, the vertical component of the coordinate is called the y-coordinate, while horizontally, the horizontal component of the coordinate is called the x-coordinate.
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They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.
If they decide to double the width to create the family-sized box, by what factor must they increase the height?
Answer:
Given that A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box. They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.
If original dimensions are l,w and h then volume = lwh
Volume of new box is= 3lwh
But here w becomes 2w and l remains the same. Let h' be the new height
Then we have
So by 1.5 factor height should be dilated.
Step-by-step explanation:
HELPPPP RIGHT NOW !!!!!!!!!
The equation can be used to find the time it took student to hike the trail will be 3t= 5(3-t)
What is the equation?
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The formula for the distance for the to and fro motion is;
x= v × t
The total time required for to and fro motion is;
[tex]\rm t_1 + t_ 2 = 3 \\\\ \frac{x}{v_)1} +\frac{x}{v_2}=3 \\\\ \frac{x}{3} +\frac{x}{5}= 3 \\\\ x = \frac{45}{8} \\\\ x = 3 \times \frac{15}{8} \\\\\ x =v \times \frac{15}{8} \\\\ x = v \times t[/tex]
From the equation B;
3t= 5(3-t)
3t=15-5t
8t=15
t=15/8
The equation can be used to find the time it took Stu to hike the trail will be 3t= 5(3-t)
Hence option B is correct.
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Thankyou guys for all your help….I need help with one more plsss
Round to the nearest tenth
I don't understand your question
A set of equations is given below.
Equation C: y = 7x + 12
Equation D: y = 7x + 2
How many solutions are there to the given set of equations?
O One solution
OTwo solutions
O Infinitely many solutions
O No solution
Answer:
2
Step-by-step explanation:
lucky guess from my boi tony
A company manufactures school desks. The table shows the number of units that the company sold each month over a nine-month period
beginning in January.
Month, x
Units, y
Which equation best models the situation?
1
800
2
500
3
400
4
300
5
200
6
300
7
450
8
600
9
800
Based on the values of x and y for the company and its school desks, the equation that best models the situation is D. y = 34x² - 334x + 1,075.
How does this equation model the situation?The best equation would be the one that gives the closest value of y to the value of the actual value of y on the table.
The first two equations can be ruled out because the table shows that this is not a linear model as there is no constant rate of change.
Test the other two equations:
x=1:
y = -34(1)² + 334(1) + 1,075
= 1,075
This is too high.
Other equation:
y = 34(1)² - 334(1) + 1,075
= 775
This is close to 800 so this is the best equation.
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Hi can I have help on this question with a simple explanation as I find things difficult to understand. Thank you :)
Step-by-step explanation:
Line L → 2x - 3y = 6
Where a = 2 and b = -3
• So, we can use this formula to find the gradient of Line L.
m = -a/b
m = -2/-3
m = 2/3 IS THE ANSWER
Answer:
gradient = 2/3
Step-by-step explanation:
Here is another way....manipulate the equation to y = mx+ b form
where m = slope ( gradient)
2x - 3y = 6 add 3 y to both sides
6 + 3y = 2x subtract 6 from both sides
3y = 2x - 6 divide by 3
y = 2/3 x - 2 gradient = 2/3
