what number is 30% greater than 20?

Option (a) is the correct answer. When two figures are similar, it means they have the same shape but different sizes.

How to solve the question?

In other words, their corresponding angles are congruent, and their corresponding side lengths are proportional.

Option (b) and (d) suggest that the corresponding side lengths of A and B are related by a constant factor (either 2 or 1/2). However, this is not necessarily true for all similar figures. The constant of proportionality can be any positive real number.

Option (c) suggests that the corresponding side lengths of A and B are equal, which means that A and B are not just similar but congruent. This is not necessarily true for all similar figures, as similar figures can differ in size.

Therefore, option (a) is the only answer that must always be true for similar figures. The corresponding side lengths of similar figures are proportional, which means that if one side of figure A is twice as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 2:1. Similarly, if one side of figure A is three times as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 3:1. This proportional relationship holds true for all pairs of corresponding sides in similar figures

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Option (a) is the correct answer.  The corresponding side lengths of A and B are proportional, must always be true if Figure A is similar to Figure B.

When two figures are similar, their corresponding angles are congruent, and their corresponding side lengths are proportional. This means that if we take any two corresponding sides of the figures, the ratio of their lengths will be the same for all pairs of corresponding sides.

Option b and d cannot be true, as they both suggest a specific ratio of corresponding side lengths, which is not necessarily true for all similar figures.

Option c is not necessarily true, as two similar figures can have corresponding side lengths that are not equal but still have the same ratio.

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Answer:

101 is the answer of the question

Answer:

101 degrees

Step-by-step explanation:

First you add all the percentages

39 + 28 + 30 + 3 = 100%

To find the number of degrees of basketball you multiply 28% by 360 because it’s a circle.

28/100 * 360 = 10,080/100 = 100.8 ~ 101

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:

a = 1

b = -3

c = -5

Now, we can apply the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Substituting the values into the formula:

x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))

x = (3 ± √(9 + 20)) / 2

x = (3 ± √29) / 2

Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:

x = (3 + √29) / 2

x = (3 - √29) / 2

The correct answer choice is:

x = the quantity of 3 plus or minus the square root of 29 all over 2.

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Terms in Algebraic Expression are \(4x^{2}\) , -5y , 7

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Example of Algebraic Expression - 4x + 5y +8

Hence the term is the algebraic expression are -4x , 5y 8

According to the given information

The Algebraic Expression given to us

\(4x^{2} -5y+7\)

Hence

The algebraic expression has three terms.

Terms are \(4x^{2}\) , -5y , 7

Terms in Algebraic Expression are \(4x^{2}\) , -5y , 7

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Answer:

140

If that's wrong, try 147

Step-by-step explanation:

With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):

\(y=7x-28\\\),

where our m (slope) is 7, and our b (y-intercept) is -28.

If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.

Hope this helps!

Answer: The proportion of participant who support each presidential candidate

Step-by-step explanation: Statistic and parameter refers to tow similar but different words whose usage depends on the content of our observations. Parameters are used to define the participant or observations in a population while statistic defines the participants or observations in a sample which is a subset of the population. In the scenario above, the statistic refers to the proportion of people supporting each presidential candidate drawn at random from the total population of eligible voters in the United states.

Answer:

\(d=\sqrt{2}\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in your 2 coordinates into the distance formula to find distance d:\(d=\sqrt{(7-6)^2+(-2-(-3))^2}\)

\(d=\sqrt{(1)^2+(-2+3)^2}\)

\(d=\sqrt{1+(1)^2}\)

\(d=\sqrt{1+1}\)

\(d=\sqrt{2}\)

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

Roland’s Boat Tours will make more money if they sell more economy seats, hence the maximum profit is attained if they only sell the minimum deluxe seat which is 6

6*35+ 24*40 = 210+960= $1170

Given details

To make a complete tour, at least 1 economy seats

and 6 deluxe seats

Maximum passengers per tour = 30

"Boat Tours makes $40 profit for each economy seat sold and $35 profit for each deluxe seat sold"

Therefore, to maximise profit, he needs to take more of economy seats

Hence

Let a deluxe seat be x and economy seat be y

Maximise

6 x+ 24y = 30

The maximum profit from one tour is  = 6*35+ 24*40 = 210+960= $1170

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Answer:

4761

Step-by-step explanation:

PEMDAS

Step-by-step explanation:

x will equal 6

hope this helps bro if u need the explanation I'll explain to u if needed

6x + 2 - 2x = 3x + 14 - x

6x - 2x + 2 = 3x - x + 14

4x + 2 = 2x + 14

4x - 2x = 14 - 2

2x = 12

x = 12/2

x = 6

Answer:

It's the last one!

Step-by-step explanation:

From the given information, we can that y = \(sin^{-1}x\) function is represented in the graph.

The opposite of the sine function is the inverse sine function, commonly referred to as the arcsine function. Since the sine (or sine function) of an angle is equal to the ratio of the opposite side to the hypotenuse, the sine inverse of that ratio will provide the angle's measurement.

According to graph

Domain is [-1, 1]

Range = \([-\frac{\pi }{2} ,\frac{\pi }{2} ]\)

Set an interval to limit \([-\frac{\pi }{2} ,\frac{\pi }{2} ]\) the sine-scope function's so that it is one to one and not unlimited.

The limited function is one to one since it satisfies the horizontal line test.

\(Each range value (-1 to 1) is within the limited domain (-\frac{\pi }{2} \frac{\pi }{2})\)

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Answer:

-2

Step-by-step explanation:

you went to floor -4 in the begining, then went up 6 floors to floor 2

-4+6=2

so now you have to go down 2 floors making it negative

no your answer is -2

The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is  y = -7/5(x) -53/5

Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)

The slope-intercept form of a straight line is:

y = mx + c

where m is the slope and c is the y-intercept

For perpendicular case:

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₁ x m₂ = -1

-7/5 x m₂ = -1

m₂= 5/7

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = 5/7 (-4) + c

-5 = -20/7 + c

c = -15/7

Thus, the equation of the line is y = 5/7(x) -15/7

For parallel case:

When the two lines are parallel, they have equal slope i.e. m₁ = m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₂= -7/5

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = -7/5(-4) + c

-5 = 28/5 + c

c = -53/5

Thus, equation of the line is y = -7/5(x) -53/5

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Answer:

-2x^2+8x-9+4x+7x^2+2 = 5x²+12x-7

Step-by-step explanation:

The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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Step-by-step explanation:

I need followers please

Answer:

learning only lang po yan

The likelihood that one or more of the dice will land on an even number is 1296.

The likelihood of an event is quantified by its probability, which is a number. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The likelihood of an event increasing with probability of occurrence.

Four 6-sided dice are rolled what is the probability that at least two dice show least 2 die the same.

For 2 of the same: 5×5×642) =900

For 3 of the same: 5×643) =120

For 4 of the same: 644) =6

Combined: 900+120+6=1026

Total possibilities: 64=1296

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The probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

We can solve this problem by finding the probability that all four dice land on odd numbers and then subtracting this probability from 1 to get the probability that at least one of the dice lands on an even number.

The probability that one dice lands on an odd number is 3/6 = 1/2, and the probability that all four dice land on odd numbers is:

(1/2) × (1/2) × (1/2) × (1/2) = 1/16

Therefore, the probability that at least one of the dice lands on an even number is:

1 - 1/16 = 15/16

So the probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.

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Answer:

\(D. \ \ \frac{-1}{2x(x-2)}\)

Step-by-step explanation:

\(\frac{-1}{2x^2-4x}\)

Taking 2x common from denominator

\(\frac{-1}{2x(x-2) }\)

The solution of the equation is n = the quantity 3 times c minus 9 all over negative p

The subject of a formula is the variable that is being worked out. We have to make the variable n the subject of the formula to solve the equation.

Therefore.

−np − 6 = 3(c − 5)

open the bracket on the right sides

−np − 6 = 3c - 15

add 6 to both sides of the equation

−np − 6 = 3c - 15

−np − 6 + 6 = 3c - 15 + 6

- np = 3c - 9

divide both sides of the equation by -p

- np / -p = 3c - 9 / -p

Hence,

n = 3c - 9 / -p

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Answer:a

Step-by-step explanation:

did the test

Answer:

-12 1/2 or -25/2

Step-by-step explanation:

-8 5/6 turns into -53/6

-3 2/3 turns into -11/3

so, subtract -53/6 - 11/3 and you will get -25/2

Answer:

Not sure what you mean but 12×3 = 36 If that helps

Answer:

6 and 6

Step-by-step explanation:

6+6=9

6*6=36

the best way to solve this is using a system. let's pretend the two numbers we have are notated using the variables x and y.

our first equation is this:

x + y = -46. the sum of the two numbers x and y is -46.

our first equation is this:

x + 13 = y. here, the variable doesn't really matter. so, what this says is that y is 13 greater than x.

now, you know how to represent y in terms of x. plug the second equation into the first and you get this:

x + ( x + 13) = -46.

solve this:

2x + 13 = -46

2x = -59

x = -29.5

now, we know what x equals. using the second equation we created,

x + 13 = y, we can figure out what y equals. so, let's plug x in.

-29.5 + 13 = y

y = -16.5

you've got x and y now! i hope i helped you.

xoxo

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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Answer:

0

Step-by-step explanation:

Answer:

768

Step-by-step explanation:

16x48= 768

Answer:

768

Step-by-step explanation:

you multiply 16 times 48 to find the weekly wage

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

The expression each of these statements by a simple English sentence are following:

(a) Student Sarah Smith visited the website www.att.com.

(b) There is a student at your school who has visited the website www.imbd.org.

(c) There is a website visited by José Orez.

(d) There is a website visited by Ashok Puri and Cindy Yoon.

(e) In your school, there is a student next to David Belcher who has visited all the websites that David Belcher has visited.

(f) There are two different students in your class who visited the same website.

W(x,y) = "Student x visited website y"

Domain x = All students in your school

Domain y = All Websites

In logic, a quantifier is an operator that specifies how many individuals there are in a domain. There are two kinds of quantifiers: universal quantifiers, written as "(∀ )", which can be read as "for all"; and existential quantifiers written as "(∃ )", which can be read as "to exist". We have to express each of these statements in a simple English sentence.

a) W (Sarah Smith, www.att.com) means Sarah Smith has left www.att.com.

b)∃xW(x, www.imdb.org) means that at least one individual went to www.indb.org.

c) ∃yW(José Orez, y) means that Jose Orez missed at least one place.

d) ∃y(W(Ashok Puri, y) ∧ W(Cindy Yoon, y)) means that there is a page that they both visited.

e)∃y∀z(y ≠ (David Belcher) ∧ (W(David Belcher, z) → W(y,z))), means that there is a man other than the one who went through all the pages that went through.

f)∃x∃y∀z((x ≠ y) ∧ (W (x, z) ↔ W (y, z))), means that there are two distinct individuals who have passed through the same places.

Therefore, we got all the statements as an English sentence.

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Complete question:

Let W (x, y) mean that student x has visited website y, where the domain for x consists of all students in your school and the domain for y consists of all websites. Express each of these statements by a simple English sentence.

a) W (Sarah Smith, www.att.com)

b) ∃xW(x, www.imdb.org)

c) ∃yW(José Orez, y)

d) ∃y(W(Ashok Puri, y) ∧ W(Cindy Yoon, y))

e) ∃y∀z(y ≠ (David Belcher) ∧ (W(David Belcher, z) → W(y,z)))

f) ∃x∃y∀z((x ≠ y) ∧ (W (x, z) ↔ W (y, z))).