Amount in march = $300
By August, his savings has increased by 20%,
The value of this increase is
\(\begin{gathered} \text{ 20\% of \$300} \\ =\frac{20}{100}\text{ x 300} \\ =\text{ \$60} \end{gathered}\)The total amount by August is $300 + $60
= $360
The answer is $360
Quadrilaterals EFGH and ABCD are congruent. Which of the following sequences of transformations maps EFGH onto ABCD?
Sequence A:
A -90⁰ rotation about point H, then a translation along the directed line segment HD
Sequence B:
A -90⁰ rotation about point F, then a translation along the directed line segment FA
A) Only sequence A
B) Only sequence B
C) Both
D) Neither
Therefore, both sequence A and sequence B can be used to map EFGH onto ABCD, so the answer is C) Both.
What is transformation?In mathematics, a transformation is a process of changing the position, size, or shape of a geometric figure. Transformations can be performed on two-dimensional or three-dimensional objects and include operations such as translation, rotation, reflection, scaling, and shearing. Translation involves moving an object in a straight line without rotating it. Rotation involves turning an object around a fixed point. Reflection involves flipping an object across a line or plane of symmetry. Scaling involves changing the size of an object, making it larger or smaller. Shearing involves distorting an object by pushing or pulling one of its sides. Transformations are often used in geometry and in other areas of mathematics and science to explore the properties of objects and to solve problems related to symmetry, similarity, and congruence. They are also used in computer graphics, animation, and other areas of computer science to create and manipulate images.
Here,
Both sequences of transformations can be used to map quadrilateral EFGH onto ABCD.
To see why, consider that a -90⁰ rotation about point H followed by a translation along HD will map H to A, E to D, F to C, and G to B. Similarly, a -90⁰ rotation about point F followed by a translation along FA will map F to A, G to D, H to C, and E to B.
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Answer:
(A) Only sequence A
Step-by-step explanation:
You want the sequence of transformations that maps parallelogram EFGH to ABCD.
RotationWe note that segment EF points to the right, and corresponding segment AB points down. The rotation required to change the direction in that way is a rotation of -90°, that is, 90° CW.
TranslationThe translation that will work in this context is translation of the center of rotation to its corresponding point on the image. The given choices of center are ...
point Hpoint FPoint H corresponds to point D, so the translation vector would need to be HD after rotation about point H. This matches sequence A.
Point F corresponds to point B, so the translation vector would need to be FB after rotation about point F. Sequence B erroneously has the vector as FA.
Only sequence A maps EFGH to ABCD, choice A.
<95141404393>
Is my answer correct?
Answer:
Yes Your answer correct because i know that
Step-by-step explanation:
(◍•ᴗ•◍)❤
\( \: \: \: \: \: \: \: \: \huge{ \mathrm{ \underbrace{ A nswer s}\: \: }}\)
Figure : 1The value of an exterior angle is equal to the sum of values of two opposite interior angles.
That is :
\(40 \degree + 40\degree = 3x + 20\degree\)\(80\degree = 3x + 20\degree\)\(3x = 60\degree\)\(x = 20\degree\)Therefore, value of x is 20°
And the measure of missing angle is :
\(3x + 20\degree\)\((3 \times 20\degree) + 20\degree\)\(60\degree + 20\degree\)\(80\degree\)Figure : 2The Value of an Exterior angle is equal to the sum of values of two opposite interior angles .
Hence,
\(v + 71\degree = 107\degree\)\(v = 36\degree\)And therefore measure of missing angle is 36°, since v was the missing angle here.
_____________________________
\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)
Please any math experts can help me convert this thank you so much
Step-by-step explanation:
First comes the turn of 5 / 9
Lets see how it is done
1 covert it to decimal by division
By division we get 0.555555555
2 now converting it to percentage by multiplication
Multiply 0.55555555 by 100
We get 55.555555 this the percent form
Same process can be repeated to get the answer to second part
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
A solid right pyramid has a square base with an edge
length of x cm and a height of y cm.
X
y
Which expression represents the volume of the
pyramid?
Oxy cm³
0x²y cm³
Oxy² cm³
0x²y cm³
The volume of the solid right pyramid is, x²y cm³.
What is a pyramid?A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.
The number of sides on its base is equal to the number of lateral faces.
The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.
We know, Area of a square is a product of it's any two sides.
Now, If we want to determine the volume we have to multiply the height also(another dimension).
Therefore, From the given information and options, A pyramid with square bases(x) and a height of 'y' will have a volume,
= x×x×y cm³.
= x²y cm³.
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Can someone help me on this?
Answer:
X+15 is the answer..................
Write an equation that represents the perimeter of the rectangle. The width of a rectangle is 9 less than one-third it's width, when the perimeter is 45.
Answer:
The equation that represents the perimeter of the rectangle is:
\(\text{Perimeter} = \frac{2}{3} \times [4l-27]\)
Step-by-step explanation:
The perimeter of a rectangle is given by the formula:
Perimeter = 2 × [l + w]
It is provided that the width of a rectangle is 9 less than one-third it's length.
That is:
\(w = \frac{1}{3}l-9\)
The perimeter is given as 45.
The equation that represents the perimeter of the rectangle is:
\(\text{Perimeter} = 2 \times [l + \frac{1}{3}l-9]\\\\\text{Perimeter} = 2 \times [\frac{3l+l-27}{3}]\\\\\text{Perimeter} = 2 \times [\frac{4l-27}{3}]\\\\\text{Perimeter} = \frac{2}{3} \times [4l-27]\)
Thus, the equation that represents the perimeter of the rectangle is:
\(\text{Perimeter} = \frac{2}{3} \times [4l-27]\)
Three watches and five lamps cost $176 in all. Five watches and three lamps cost $208 in all. What is the cost of one lamp?
$200/5 lamps= $40 per lamp
Final answer: $40
Using the elimination principle, the cost of one lamp is $16
Let :
watches = a Lamps = b3a + 5b = 176 - - - - (1)
5a + 3b = 208 - - - (2)
Multiply (1) by 5 and (2) by 3
15a + 25b = 880 - - - - (3)
15a + 9b = 624 - - - - - (4)
Subtract (3) and (4)
16b = 256
b = (256 ÷ 16)
b = $16
Therefore, the cost of one lamp is $16
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Si 10 obreros construyen un consultorio médico en 12 dias.¿Con cuántos obreros se hará la misma obra en 15 dias?
A total of 8 workers are required for a building time of 15 days.
How many workers are needed to complete a building?
In this problem we find a case of inverse relationship, in which the number of workers (n) is inversely proportional to building time (t), in hours. The situation is represented by following formulas:
n ∝ 1 / t
n = k / t
Where k is the proportionality ratio, which can be eliminated by building the following formula:
n₁ · t₁ = n₂ · t₂
If we know that n₁ = 10, t₁ = 12 and t₂ = 15, then the required number of workers is:
n₂ = n₁ · (t₁ / t₂)
n₂ = 10 · (12 / 15)
n₂ = 10 · (4 / 5)
n₂ = 8
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Line segment ON is perpendicular to line segment ML, and PN = 10.
Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 25 and the length of P N is 10. Angle O P L is a right angle.
What is the area of triangle MOL?
200 square units
250 square units
300 square units
500 square units
i think its c 300
Answer:
C. 300 square units
Step-by-step explanation:
Answer:
it´s c edg 2021
Step-by-step explanation:
2. Solve based on the diagram below.
What is the value of angle x? How do you know (what type of angle pairs are they)?
Answer: 160
Step-by-step explanation: The straight line or line X is 180 degrees. So subtracted 20. This is because X is intersected by another line which makes the upper notch 20 degrees.
In a class of students, the following data
table summarizes how many students have a
cat or a dog. What is the probability that a
student chosen randomly from the class has
a cat?
Has a dog
Does not have a
dog
Has a cat
2
3
Does not have a
cat
12
10
The table can be summarized as follows:
| | Has a dog | Does not have a dog |
|----------|-----------|---------------------|
| Has a cat | 2 | 3 |
| Does not have a cat | 12 | 10 |
To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.
The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.
The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.
So, the probability that a student chosen randomly from the class has a cat is 5/27.
What the meaning of statement this?
{x: f(x) ∈ X} denotes a set of values of x for which f(x) belongs to the set X and this specifies that the inverse function \(f^(^-^1)\)(x) maps values of x to the set of values for which f(x) belongs to the set X.
How do we calculate?The statement you provided is an expression involving the notation for the inverse function.
The inverse function of a function, represented as f(-1)(x) for a function f(x), is a new function that "reverses" the operation of the original function, meaning that if you input the output of the original function into its inverse function, you will get back the original input.
The expression in this scenario specifies that the inverse function\(f^(^-^1^)\)(x) maps values of x to the set of values for which f(x) belongs to the set X.
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The statement you provided is an expression involving the notation for the inverse function.
How do we explain?The statement you provided is an expression involving the notation for the inverse function. x: f(x) ∈ X} denotes a set of values of x for which f(x) belongs to the set X and this specifies that the inverse function (x) maps values of x to the set of values for which f(x) belongs to the set X.
The inverse function of a function, represented as f(-1)(x) for a function f(x), is a new function that "reverses" the operation of the original function, meaning that if you input the output of the original function into its inverse function, you will get back the original input.
The expression in this scenario specifies that the inverse function(x) maps values of x to the set of values for which f(x) belongs to the set X.
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What is the probability of rolling an even
number on a 7 sided number cube?
Answer: 1/3
Step-by-step explanation: if the cube has 7 sides. If they are numbered 1, 2, 3, 4, 5, 6, 7 (seven possibilities) and the even ones (2, 4, 6,) are successes, then the probability of rolling an even number on the first roll is 3/7 = 1/3.
Helppp please!!!!!!
100 points and will mark bralist
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
2000lb _ 1 T click the correct symbol >,=,
2000 pounds is equal to 1 ton
answer: 2000 pounds = 1 Ton
Which relationships describe angles 1 and 2?
Select each correct answer.
complementary angles
adjacent angles
supplementary angles
vertical angles
Answer:
supplementary angles because they add 180 degrees
Step-by-step explanation:
hope this helped
Answer: Supplemetary Angels, Adjacent Angels
B,C
Step-by-step explanation: The other person is wrong
# 16: A set of data is reasonably bell shaped.
The mean is 45 and the standard deviation is 5.
What percentage of
the scores should fall between 30 and 60?
Answer:
1/4 or 25% i think
Step-by-step explanation:
Which number completes the
sequence? Type in your answer.
1, 2, 4, 7, 12, 19, 30, ?
The required next term at the end of the sequence is 43.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values are equal.
here,
1, 2, 4, 7, 12, 19, 30,
As
the sequence is the prime addition of the number, as.
1,
1 + 1 = 2
2 + 2 = 4,
4 + 3 = 7
7 + 5 = 12
12 + 7 = 19
19 + 11 = 30
30 + 13 = 43
Thus, At the end of the sequence, the required next term is 43.
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The three options that represent the correct steps to solve quadratic equation are:
x = –1 Plus or minus StartRoot StartFraction \(b^2 - 4ac\) Over 2a EndFraction EndRoot (using the quadratic formula)\(8(x^2 + 2x + 1) = 3\) (subtracting 8 from both sides and factoring)x = –1 Plus or minus StartRoot StartFraction 1 Over 2 EndFraction EndRoot (dividing both sides by 8 and simplifying)What is equation?
In mathematics, an equation is a statement that two expressions are equal. It typically consists of two sides, called the left-hand side (LHS) and the right-hand side (RHS), connected by an equal sign.
To solve the quadratic equation \(8x^2 + 16x + 3 = 0\), Patel could use the following steps:
Use the quadratic formula: x = (-b ± √(\(b^2\) - 4ac)) / 2a, where a = 8, b = 16, and c = 3. This formula gives the solutions to any quadratic equation of the form \(ax^2\) + bx + c = 0.
Factor the quadratic equation by finding two numbers that multiply to give ac (8 * 3 = 24) and add to give b (16).
This can be a bit tricky, but in this case, the factors are (4, 6). So we can write \(8x^2\) + 16x + 3 as \(8x^2\) + 4x + 2x + 3, and then group the terms as (\(8x^2\) + 4x) + (2x + 3) = 4x(2x + 1) + 1(2x + 3).
Use the factored form of the equation to set each factor equal to zero and solve for x.
So we have 4x(2x + 1) + 1(2x + 3) = 0, which gives us two possible solutions: 2x + 1 = 0, which gives x = -1/2, and 2x + 3 = 0, which gives x = -3/2.
Therefore, the three possible steps Patel could use to solve the quadratic equation are:
Use the quadratic formula: x = (-b ± √(\(b^2\) - 4ac)) / 2aFactor the quadratic equationUse the factored form of the equation to set each factor equal to zero and solve for x.To learn more about equation visit:
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Select the correct answer.
What is the value of this expression?
(6 + 7i) - 4i(6 + 5i)
-14 + 17i
26 + 17i
26 - 171
-14 - 17i
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Clark's Country Pet Resort is fencing a new play area
for dogs. The manager has purchased 240 yd of
fence to enclose a rectangular pen. The area of the
pen must be 2511 yd². What are the dimensions of
the pen?
The dimensions of the pen are 93 yds by 27 yds.
Clark's Country Pet Resort has to fence a new play area for dogs. The manager has purchased 240 yd of fence to enclose a rectangular pen, and the area of the pen must be 2511 yd². We need to calculate the dimensions of the pen.
In order to find the dimensions of the pen, we will use the following formula: Area of rectangle = length × width given that, area of the pen = 2511 yd²Let us assume the length of the pen as 'l' and the width of the pen as 'w'.
Then, the area of the rectangle will be: A = l × wBut, the area of the pen is 2511 yd²Therefore,2511 = l × wNow, we need to find the length and width of the rectangular pen using the given perimeter.
Let's represent the perimeter of the pen as 'P'.The formula for the perimeter of a rectangle is:P = 2(l + w)Given that, the perimeter of the pen = 240 yd240 = 2(l + w)120 = l + We can now use substitution in order to solve for the dimensions of the pen.
We know that l + w = 120Therefore, l = 120 - wow, we can use the formula for the area of the pen.2511 = l × w2511 = (120 - w) × w2511 = 120w - w²w² - 120w + 2511 = 0Now, we can solve for 'w' using the quadratic formula: w = (-b ± √(b² - 4ac)) / 2aPutting the values of a, b, and c in the above formula we get,w = (-(-120) ± √((-120)² - 4×1×2511)) / 2×1w = (120 ± √(14400 - 10044)) / 2w = (120 ± √4356) / 2w = (120 ± 66) / 2w = 93 or 27Since the width cannot be 93 (it is too long for the area and perimeter), we will consider the width as 27. Now, we can solve for the length.120 = l + 27120 = l + 27l = 120 - 27l = 93
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help plss i need help in question 2
Answer:
Tropic Fresh Fruit Punch
Step-by-step explanation:
You have to find how many cups of concentrate both brands use per cup of water. To do that, you divide the cups of concentrate by the cups of water.
Tropic Fresh Fruit Punch - 22/10=2.2
Merry Berry Fruit Punch - 13/6=2.17 (rounded to the nearest hundredth)
Since 2.2 is bigger than 2.17, Tropic Fresh Fruit Punch has the more fruitier concentration of punch.
Using traditional methods, it takes 95 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6. A level of significance of 0.01 will be used to determine if the technique performs differently than the traditional method. Is there sufficient evidence to support the claim that the technique performs differently than the traditional method
Answer:
There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Step-by-step explanation:
The null hypothesis is:
\(H_{0} = 95\)
The alternate hypotesis is:
\(H_{1} \neq 95\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.
This means, respectively, that \(n = 260, X = 94, \sigma = 6\)
The test-statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{94 - 95}{\frac{6}{\sqrt{260}}}\)
\(z = -2.69\)
The pvalue is:
2(P(Z < -2.69))
P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036
2*(0.0036) = 0.0072
0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
ANSWER ASAP! NEED HELP
which equation represents a line that is parallel to the line whose equation is 3x-2y=7; which equation represents a line parallel to the line shown on the graph?; which equation represents a line that is parallel to the line whose equation is y=-3x; which equation represents a line that is perpendicular to the line represented by 2x-y=7; which equation represents a line that is parallel to the line y=-3x+4; which equation represents a line that is parallel to the line y=3-2x; which equation represents a line that is parallel to the line y=-4x+5; which equation represents a line that is perpendicular to the graph of y 2 5x 1
The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.
How are parallel straight lines related?
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
We have been given a parallel line with has equation
3x-2y=7
In order to solve this, the slope of the original line.
3x - 2y = 7
-2y = -3x + 7
y = 3/2x - 7/2
thus its slope is 3/2.
thus, the slope of the needed line is 3/2 too.
we know that any line that is parallel to that would have this slope.
So anything is written in the form:
y = 3/2x + b
The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.
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Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
Each cube in this figure is a -millimeter cube. What is the total volume of the prism?
2 mm 3
6 mm 3
4 mm 3
9 mm 3
Answer:
D. 9 mm³Step-by-step explanation:
Given
Dimension of the prism: 3x4x6Side of each small cube: 1/2 mmVolume of the prism in terms of the number of small cubes:
3*4*6 = 72Volume of each unit cube:
V = (1/2)³ = 1/8 mm³Volume of the prism:
72*1/8 = 9 mm³Correct choice is D
Answer:
D. 9 mm³
Step-by-step explanation:
Dimension of the prism
= 3 * 4* 6
side of each small cube
= 1/2 mm
In terms of number of small cubes , volume of the prism = 3 *4 * 6= 72
Volume of each unit of cube
= (1/2)³
= 1/ 8 mm³
Volume of the prism
= 72 * 1/8
= 9 mm³