To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4
What is transformation?
Transformation is the movement of a point from its initial location to a new location.
Types of transformation are rotation, translation, dilation and reflection.
To prove that circle A is similar to circle B, it needs to be moved 1 unit right and 6 units up and then dilated by a scale factor of 3/4
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Please help, I’ll mark your answer as brainliest.
Answer: the answer is
Step-by-step explanation:
8 x 2/3 = 16/24 = 2/3 Identify and explain the error
Answer:
8. = 0.1x = -0.12. 8yz. 88. D. – 1.2. = y 2 3
Step-by-step explanation:
Drag each tile to the correct box.
The given steps for constructing a line tangent to circle O that is tangent to the circle at point P on the circle are listed out of order. Arrange the steps in the correct sequence.
A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S.
B. Draw a line through P and S.
C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.
D. Draw a straight line from the center, O, through P and extending past P.
E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle
Answer:
D, C, E, A, B
Step-by-step explanation:
This is essentially the construction of a perpendicular bisector.
D. Draw a straight line from the center, O, through P and extending past P
C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.
E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle
A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S
B. Draw a line through P and S.
How to find arc in math?Arc length is the distance between 2 points in the arc of a circle. The arc of the circle could be calculated by using the following formula: Arc: Length = Θ x r
What does arc mean?
In general, the arc is a portion of the curve. In mathematics, unless otherwise begain, then arc usually refers to the portion of the circle. Types of arcs. A chord, or the central angle and an inscribed angle may divide the circle into 2 arcs.
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Having difficulty finding the correct explanation for the boxes.
Answer:
agree - the central angle is 360°/nagree - a hexagon has 6 degrees of rotational symmetryagree - the altitude is r×cos(180°/n)Step-by-step explanation:
a)Agree. All radii of a circle are the same length, so any triangle drawn from the center of a circle to points on the circle will be an isosceles triangle. By definition, all interior angles and all side lengths of a regular polygon are congruent. So, an n-sided regular polygon inscribed in a circle can be divided into n non-overlapping congruent isosceles triangles. That means the central angle is 360°/n, a value found based on the rotational symmetry of the figure.
__
b)Agree. See the explanation in part (a). A regular hexagon has six congruent sides. Each of those can form the base of an isosceles triangle. Hence, the hexagon can be decomposed into 6 congruent isosceles triangles.
__
c)Agree. The altitude divides each of the isosceles triangles of parts (a) and (b) into two congruent right triangles. The length of the altitude can be found as the product of the radius of the circle and the cosine of half the central angle of the isosceles triangle. That is, trigonometry can be used to find the altitude.
The altitude (apothem of the polygon) is ...
a = r·cos(180°/n)
_____
Additional comment
A "correct" explanation is one that makes sense to you and your grader. The explanation you read here may not be "correct" in that sense. YMMV
Which of the following is a rational number(s)?
6
7
a.
b.
-1
10
Gold
-3
d. All of these
-15
Convert 30% to a fraction in lowest terms
Answer:
3/10
Step-by-step explanation:
Hope this helped
help! complete the table with the missing measurements. the perimeter is 40ft is that helps
therer sorry for the cropped pic btw lol
What is the surface area of the figure made from this net?
Answer:
there is no net? Maybe you forgot to include your attatchement, and without it, I cannot answer your question. sorry...
Step-by-step explanation:
can someone plssss help
manipulating algebraic fractions
Answer:
the answer is 5x divide by 12
Please help! 1/2 (18 + 14) - (18 - 14)^2
Answer:
the answer should be -185
Answer:
0
Step-by-step explanation:
1/2 (18 + 14)- (18 - 14)^2
=1/2 (32) - 4^2
=16 - 16
=0
Im deseperate. Find x, y, and z such that x³+y³+z³=k, for each k from one to 100
Answer:
x = 1, y = -1, and z = 2
Select all the expressions that are equal to 12x + 36
12(x + 24)
x(12 + 36)
3(4x + 12)
4(3x + 9)
4(3x + 9x)
Answer:
The answer are
12(x + 24) ❌
x(12 + 36) ❌
3(4x + 12) ✅
4(3x + 9) ✅
4(3x + 9x) (Again?) ✅
Step-by-step explanation:
12x + 36 equals 12(x + 3) (Keep that in mind)
12(x + 24) is not correct because the result is 12x + 288. Therefore, the first option is incorrect. ❌
x(12 + 36) isn't correct either. This is because the result is 48x. Therefore, the second option is incorrect too. ❌
3(4x + 12) is correct because the result is 12x+36, but wait! Remember how I told you to keep 12(x + 3) in mind? Well, when you solve 12x+36, the result is 12(x + 3). Therefore, the third option is correct. ✅
4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too.✅
4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too. (Again?) ✅
Hope this helped! Keep strong and good luck! :)
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The two figures shown below are similar. What is the value of x?
12
24
19
30
Answer: 24
Step-by-step explanation:
Corresponding sides of similar figures are proportional.
What's the answer pls help
Answer:
x = 8
Step-by-step explanation:
Both these angles are equal because they are equal. So we make this equation:
8x + 36 = 5x + 60
-5x -5x
3x + 36 = 60
-36 -36
3x = 24
Divide both sides by 3:
x = 8
six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?
Answer:
1200
Step-by-step explanation:
600 in grams = 600 x 1000
= 6 x 10^5
(6 x 10^5) / 500 = 1200.
Answer:
1200 packets
Step-by-step explanation:
1 kg = 1000 gram
600 kg = 1000 × 600 = 600,000
now,
packets of tea were ( 600000 ÷ 1000) = 1200 packets
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4
The generalization of the weighted average is the expected value of a distribution. The score that is most likely to occur is 3.
How to find the mean (expectation)?The generalization of the weighted average is the expected value of a Probability distribution. It is given by the formula,
[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]
As we need to calculate the score that is most likely to occur, therefore, we need to calculate the expected value of the given probability distribution, therefore, the expected value can be written as,
[tex]E(x) = \sum xP[/tex]
where x is the score and P is the probability of the score occurring.
[tex]E(x) = (1 \times 0.06)+(2 \times0.20)+(3 \times 0.48)+(4 \times 26)\\\\E(x) = 2.94[/tex]
Since 2.94 is the most expected value to occur which is close to 3, therefore, the score that is most likely to occur is 3.
Also, the probability of score 3 coming is maximum which is equal to 0.48.
Hence, the score that is most likely to occur is 3.
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Answer:c
Step-by-step explanation: just took the test
Write a numerical expression to represent the phrase.
5 more than the product of 12 and 8
Answer:
(12x8) + 5
Step-by-step explanation:
The product of 12 and 8 would be multiplication, so you can represent that as. (12x8) or 12x8.
Hello!
First of all, "the product" of 2 numbers means you multiply these 2 numbers.
Then, "5 more" means we add 5.
This is how the phrase "5 more than the product of 12 and 8" is written as a numerical expression:
(12×8)+5
[In case you need to simplify it]
96+5
101
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Helpp me with my sister's math
Answer:
the 1/2w +22 one is a binomial
Step-by-step explanation:
a binomial is a equation with one two separate numbers AFTER simplifcation. so "1+1" is not a binomial because its equal to just 2, but "1 + x" is a binomial because its simplifed
9 and 12 are relatively prime.
True or false
Answer:
False.
Step-by-step explanation:
Because 12 and 9 are both multiples of 3.
-
Find the equation of the line that
is perpendicular to y = -2x - 9 and
contains the point (8, -4).
Answer:
[tex]y=\frac{1}{2} x-8[/tex]
Step-by-step explanation:
The final answer is in the slope-intercept form, which is y=mx +c, where m is the slope and c is the y-intercept.
The slope of a perpendicular line is the negative reciprocal of the slope of the given line (the line it is perpendicular to). Thus, let's find the slope of the given line first.
Given line: y= -2x -9
The above equation is already in the slope-intercept from and thus, the slope is the coefficient of x.
Slope of given line= -2
The coefficient is the number that comes before a variable and it includes the positive or negative sign, which explains why the slope of the given line is -2 instead of 2.
Slope of perpendicular line= [tex]\frac{1}{2}[/tex]
Substitute the value of the slope into the equation:
[tex]y=\frac{1}{2} x+c[/tex]
To find the value of c, substitute a pair of coordiantes the line passes through.
When x= 8, y= -4,
[tex]-4=\frac{1}{2}(8)+c[/tex]
-4= 4 +c
c= -4 -4
c= -8
Thus, the equation of the perpendicular line is [tex]\bf{y=\frac{1}{2} x-8}[/tex].
What is reciprocal?
The reciprocal of a number is 1 divided by that numberFor example, the reciprocal of 2 is [tex]\frac{1}{2}[/tex]In this question, we are interested in negative reciprocal. This means that if the slope of the given line is m, the slope of the perpendicular line is [tex]-\frac{1}{m}[/tex].What are the linear equations for the lines passing through the following points (3,4) and (5,8)
Answer:
The equation of the line is y = 2x + 2
Step-by-step explanation:
Given:The two points are (3, 4) and (5, 8)To find:- Equation of a linear line Solution:-
Equation of a linear line can be placed in the format:
y = mx + cFormula for finding the slope(m):
[tex] \sf{}m = \frac{x- x_1}{y - y_1} = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ \sf{}m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex] \sf{}m = \frac{8 - 4}{5 - 3} = \cancel \frac{4}{2} = 2[/tex]
Form the intermediate equation:
y = mx + c
[tex] \mathtt{y = 2x + c}[/tex]
Find the y-intercept:
Substitute (3,4) into the equation
[tex] : \longrightarrow \: \mathtt{y = 2x + c} \\ \\ : \longrightarrow \:\mathtt{4 = 2(3) + c} \\ \\ : \longrightarrow \: \mathtt{4 = 6 + c} \\ \\ : \longrightarrow \: \mathtt{c = 6 - 4} \\ \\ : \longrightarrow \: \mathtt{c = 2}[/tex]
Form the equation:
[tex]: \longrightarrow \: \mathtt{y = 2x + c} \: \\ \\ \mathtt{putting \: values \: of \: c} \\ \\ : \longrightarrow \: \mathtt{y = 2x + 2}[/tex]
The equation of the line is [tex]\underline\mathfrak\red{{{y = 2x + 2}}}[/tex]
For the rotation 379°, find the coterminal angle from 0 <0 360°, the quadrant
and the reference angle,
To find the coterminal angle, it is similar to going around the entire circle once and then a bit more.
379 - 360 = 19
Coterminal Angle = 19 degrees
---All the way around and a bit more
Quadrant = 1
---Where the angle is
Reference Angle = 19 degrees
---Distance between the x-axis and the angle
Hope this helps!
Answer please!!!
Best answer gets brainliest!!!
Answer:
8
Step-by-step explanation:
hope this is right????
im not sure if i did it correctly but i tryed
The current temperature is 48°F. It is expected to drop 1.5°F each hour.
Which equation can be used to find in how many hours, h, the temperature will be 36°F?
A) 36 + 48h = 1.5
B) 48 – 1.5h = 36
C) 48 + 1.5h = 36
D) 36 - 1.5h = 48
Answer:
B
Step-by-step explanation:
A dairy farmer plans to enclose a rectangular pasture (of length x and width y) adjacent to a river to provide enough grass for the herd, the farmer has 240m of fencing material. No fencing is required along the river. What should be the dimensions of the pasture that will provide the maximum area of pasture?
explain with steps. Tnx
Answer:
Step-by-step explanation:
The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.
In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80
Hope this helped :)
Plan 1 costs $35 per month + $5 per gigabyte of extra data used
Plan 2 costs $50 per month + $2 per gigabyte of extra data used
The computation of the equation shows that the extra data that will be used to have the same amount will be 5 gigabytes.
How to compute equation?Let the amount of extra data used be represented by x.
Plan 1 = 35 + (5 × x) = 35 + 5x
Plan 2 = 50 + (2 × x) = 50 + 2x
35 + 5x = 50 + 2x
Collect like terms
5x - 2x = 50 - 35
3x = 15
x = 15/3 = 5
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Answer:
17.5
Step-by-step explanation:
The area for a triangle is (base*height)/2 this means
(5*7)/2 = 17.5 units^2
Answer:
Step-by-step explanation:
base = b = 5 units
height = h = 7 units
[tex]\bf \boxed{\text{Area of triangle = $\dfrac{1}{2}bh$}}[/tex]
[tex]=\dfrac{1}{2}*5*7\\\\\\=\dfrac{35}{2}\\\\\\= 17.5 \ square \ units[/tex]
helpppp
Solve for x.
Answer:
x = 28.744
Step-by-step explanation:
Seeing as this is a right triangle, and you're given an angle, an unknown measurement to the opposite side, and the measure of the adjacent side. You can use trig functions. In this case, tangent, because you are given the opposite and adjacent, and tangent covers opposite/adjacent.
Tan(32)=x/46
Tan(32)46=x
28.744=x
I have 936 pencil . A box holds a dozen pencil . How many boxes will I be able to fill
Answer:
you will fill 78 boxes
Step-by-step explanation:
dozen = 12
936 divided by 12=78
Write the equation in spherical coordinates. (a) x2 y2 z2 = 64
The equation in spherical coordinates will be a constant, as we are describing a spherical shell.
r(φ, θ) = 8 units.
How to rewrite the equation in spherical coordinates?The equation:
x^2 + y^2 + z^2 = R^2
Defines a sphere of radius R.
Then the equation:
x^2 + y^2 + z^2 = 64
Defines a sphere of radius √64 = 8.
Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:
r(φ, θ) = 8 units.
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The equation in spherical coordinates is r(φ, θ) = 8 units.
What are the spherical coordinates?Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three-dimensional systems.
The equation of the spherical coordinates is written as;
[tex]\rm x^2 + y^2 + z^2 = R^2[/tex]
Where R is the sphere of radius.
The given equation of the spherical coordinates is;
[tex]\rm x^2 + y^2 + z^2 = 64^2[/tex]
Here 8 is the sphere of radius.
Hence, the equation in spherical coordinates is r(φ, θ) = 8 units.
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