undergraduate students at a college belong to one of four groups depending on the year in which they are expected to graduate. each student must choose one of 21 differ- ent majors. how many students are needed to assure that there are two students expected to graduate in the same year who have the same major?

Answers

Answer 1

Maximum number of distinct majors/groups: 84 therefore, the 85th student must be the same as one of the 84 students.

What would a typical graduation date be?

Date of anticipated graduation: May 15, 2020, or Spring 2020 for graduation (expected). Instead of expected or anticipated, you can use the word pending if you're presently working to finish your final semester.

Do I need to mention my anticipated graduation date on my resume?

Employers may be able to see that you are actively pursuing your degree even though you haven't graduated by seeing your anticipated graduation date on your resume.

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Related Questions

Which of the following Cannot be the sides of a triangle class 7? (a) 4,5,6
(b) 3,4,5
(c) 2,3,4
(d) 1,2,3​

Answers

These can not be the sides of a Triangle.

What is a triangle and the response?

Triangles are a particular kind of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here.

                       Three-sided polygons include triangles. Three triangle angles added together equal 180 degrees.

Property of triangle

Sum of any two sides > third Side

4 , 5 , 6

4 + 5 > 6 , 4 + 6 > 5 , 5 + 6 > 4

3 , 4 , 5

3 + 4 > 5 , 3 + 5 > 4  , 4 + 5 > 3

2 , 3 , 4

2 + 3 > 4   , 2 + 4 > 3  , 3 + 4>2

1  , 2   , 3

1  + 2  = 3  

Sum of 1 & 2  is not greater than 3

Hence, these can not be the sides of a Triangle.

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WILL MARK AS BRAINLEST!!!!!!!!!!!!!!!!

Answers

Circumference of a circle formula:

C=2(3.14)•r, where r=radius and ≈3.14

Now, simply only the values into the formula; we have a radius of 4in.

D=2(3.14)(4)

Multiply:

D=6.28(4)

D=25.12

Lastly, we must round to the nearest tenth:

D=25.1

So, your answer is 25.1 inches.

figure abcdef was reflected across the line y = –x to create figure a'b'c'd'e'f'. what are the coordinates of the pre-image of f'?

Answers

(C) F = (2, -4) are the coordinates of the pre-image of F'.

What are coordinates?

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, the result of reflecting Figure ABCDEF across y = -x is A'B'C'D'E'F'.

The transformational rule is:

(x, y) ⇒ (-y, -x)

Which means:

(x, y) ⇒ (-y, -x)  ⇒ (4, -2)

In contrast:

-y = 4

-x = -2

Solving for x and y as follows:

y = -4

x = 2


Therefore, (C) F = (2, -4) are the coordinates of the pre-image of F'.

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Complete question:
Figure ABCDEF was reflected across the line y = –x to create figure A'B'C'D'E'F'.

On a coordinate plane, a 6-sided figure has points A prime (negative 2, negative 2), B prime (negative 4, 2), C prime (negative 2, 6), D prime (4, 6), E prime (6, 2), and F prime (4, negative 2).

What are the coordinates of the pre-image of F'?

a. (–2, 4)

b. (4, 2)

c. (2, –4)

d. (–4, –2)

Quandale Dingle has $40 dollars in his bank account. He gives JaQuavion Johnson one-fourth of that money, and JaQuavion Johnson gives Quandale Dingle $2 back. Quandale Dingle then gives $8 to Tyrone and Jamal each so they can escape from the cotton fields. Quandale Dingle then gives $6 to a homeless person and puts the remaining money in his bank account. He wins $50 in the lottery and puts that in his bank account. How much money does Quandale Dingle have in his bank account now?

Answers

Answer:

$60.00

Step-by-step explanation:

1/4(40) = 10

40 - 10 = 30

30+ 2 = 32

32 - 8 - 8 = 16

16 - 6 = 10

10 + 50 = 60

Which equation choice could represent the graph shown below?

Answers

By analizying the zeros on the graph, we conclude that the equation that could represent the graph is:

y = (x  + 5)²*(x - 3)²

Which equation choice could represent the graph?

On the graph, we have a polynomial.

Remember that the degree of the polynomial is related to the zeros of the polynomial. Here we can see that we have two double zeros, one at x = -5 and other at x = 3

We know that are double zeros because the curvature of the polynomial changes there.

Then the equation will be something like:

y = (x  + 5)²*(x - 3)²

So that is the correct option, top right.

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in the simek and o'brien study, a novice golfer had to sink four consecutive putts before going to the next step. this exemplifies:

Answers

In the Simek and O'Brien study, progressive overload was used by requiring the novice golfer to sink four consecutive putts before moving on to the next step. Progressive Overload.

Progressive overload is the gradual increase of stress placed on the body during physical activity. By requiring the novice golfer to sink four consecutive putts before moving on to the next step, the study is increasing the difficulty of the task and placing additional stress on the body.

Progressive overload is an effective and essential technique for improving physical performance. It involves gradually increasing the intensity of the activity or exercise, which places additional stress on the body and forces it to adapt and become stronger. In the Simek and O'Brien study, progressive overload was used by requiring the novice golfer to sink four consecutive putts before moving on to the next step. This increased the difficulty of the task and allowed the golfer to gradually improve their performance. By gradually increasing the difficulty of the task, the study was able to effectively use progressive overload to improve the golfer's performance.

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PLEASE HELP ME 100 points if u do pls don't plagiarize the answer look at the image

Answers

Answer:

The given graph is not a direct variation.

Step-by-step explanation:

A direct variation occurs when the rate of change between any two points on a graph is always the same. In this sense, direct variation only occurs when a graph is linear. The given graph is parabolic; its equation is [tex]y = x^2[/tex]. Therefore, it does not exhibit direct variation, as the slope between consecutive points continually changes.

If you want to prove this claim, show that the slope changes between the given points: the rate of change from (2,4) to (3,9) is greater than the rate of change from (0,0) to (2,4).

The graph is not a direct variation

Select all the coefficients in the simplified form of (4y + 5y2-6) - (5y + 27-2²).
A -1
B. 4
C. 5
D. 6
E. 33

Answers

The coefficient of x²  in simplified form is 5

What is coefficient ?

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.

a symbol or number that multiplies another symbol or number (used as a mathematical variable). The coefficient of x in the phrase 3x is 3, and it is a number that represents a quality (such as the metal's coefficient of expansion) of a substance or device.

(4y + 5y² - 6) - (5y + 27 - 2²)

4y + 5y² - 6 - 5y - 27 + 4

5y² - 1y - 29

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I need this answer i dont think this is the right anwser please help

Answers

Answer: 11 ft.

Step-by-step explanation:

Start by listing the variables that you have.

-Total Area=1,848; lot a 33ft wide, 42ft long; lot b xft wide, 42ft long.

- so, our equation looks like 1,848=(33x42)+(42x)

-multiply 33x42=1,386

-subtract 1,386 from both sides to get 462.

-equation should look like 462=42x

-divide by 42 to 11

Which of the following is not a criterion for congruence of ∆ s a SAS B ASA C SSA D SSS?

Answers

(C) SSA is not a requirement for triangle congruence.

What is the congruence of triangles?

Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size.

We can move, flip, twist, and turn these triangles to produce the same effect.

When relocated, they are parallel to one another.

Two triangles are congruent if they satisfy all five conditions for congruence.

Right angle-hypotenuse-side (RHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SSS) are the four terms (RHS).

We know that SSA is not the criteria for the congruence of the triangles.

Therefore, (C) SSA is not a requirement for triangle congruence.

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What is the answer?
Please help

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  105 frames

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{25 frames per second, starts at 0 seconds already played 190 frames}[/tex]

Find: [tex]\textsf{Frame count already played when time = -3.4}[/tex]

Solution: In order to find the number of frames that have already played when the time was equal to -3.4 seconds, we must first figure out long the delay is.  We can do this by dividing 25 frames per second from 190 frames which gives us that 7.6 seconds passed before we started counting at 0.

Therefore, if we want to look at -3.4 seconds out of -7.6 seconds that means that 4.2 seconds passes after the initial playing to get to -3.4 seconds.  Now we can just multiply 4.2 seconds by 25 frames per second which gives us that about 105 frames have played when the time was equal to -3.4

how to do this question

Answers

The expanded and simplified form of the given expression is [tex]12a^4b^8-18a^3b^3[/tex]. This expansion represents the distributive property.

Distributive property:

In this property, the arithmetic operation is as follows:

x(y+z) = xy+xz

Here the term outside of the brackets is multiplied by each term in the brackets.

Calculation:

The given expression is [tex]6a^2b^3(2a^2b^5-3a)[/tex].

It is expanded by using distributive property,

x(y+z) = xy+xz

Here in the expression, [tex]6a^2b^3(2a^2b^5-3a)[/tex] the term 6a²b³ is multiplied by each term in the brackets. So, we get the expanded term.

I.e.,

6a²b³(2a²b⁵- 3a) = (6)(2)(a²)(a²)(b³)(b⁵) - (6)(3)(a²)(a)(b³)

⇒ 6a²b³(2a²b⁵- 3a) = 12a⁴b⁸ - 18a³b³

Here the like terms when multiplied, their powers should be added.

(∵ [tex]x^m\times x^n = x^{m+n}[/tex])

And there is no further simplification for this expanded form since the variables have different powers.

Therefore, the expanded and the simplified form of the given expression is [tex]12a^4b^8-18a^3b^3[/tex].

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Classify the triangle shown by sides and angles.​

Answers

Answer:

Acute Scalene Triangle  

Step-by-step explanation:

Look at all three angles of the triangle they are all acute. In addition, all of the angles on the triangle are different making it scalene.

a bag contains different colored beads. the probability of drawing two black beads from the bag without replacement is 335, and the probability of drawing one black bead is 310. what is the probability of drawing a second black bead, given that the first bead is black?

Answers

The probability of drawing a second black bead, given that the first bead is black, is 1/3 or 0.33.

The probability of drawing two black beads from a bag without replacement is given as 335. The probability of drawing one black bead is also given as 310. To calculate the probability of drawing a second black bead, given that the first bead is black, we can use the formula P(B2|B1) = P(B1 and B2) / P(B1). The probability of drawing one black bead is P(B1) = 310. The probability of drawing the two black beads is P(B1 and B2) = 335. Therefore, P(B2|B1) = 335 / 310 = 1/3 = 0.33.

The probability of drawing two black beads from a bag without replacement is given as P(B1 and B2) = 335. This means that, out of all the possible combinations of beads in the bag, 335 of them contain two black beads. The probability of drawing one black bead is given as P(B1) = 310. This means that, out of all the possible combinations of beads in the bag, 310 of them contain one black bead. To calculate the probability of drawing a second black bead, given that the first bead is black, we can use the formula P(B2|B1) = P(B1 and B2) / P(B1). The probability of drawing one black bead is P(B1) = 310. The probability of drawing two black beads is P(B1 and B2) = 335. Therefore, P(B2|B1) = 335 / 310 = 1/3 = 0.33. This means that the probability of drawing a second black bead, given that the first bead is black, is 1/3 or 0.33.

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greatest comman factor comman factor x^2+5x

Answers

The greatest common factor of x² + 5x is x. The greatest common factor of x² + 5x is the largest number or expression that can divide evenly into both x² and 5x.

To find the greatest common factor, you can use the prime factorization method.

This involves expressing each term as the product of its prime factors. For example, x² can be written as x × x, and 5x can be written as 5 × x.

The prime factors of x² are x and x, and the prime factors of 5x are 5 and x. The greatest common factor is the product of the common prime factors, which in this case is just x. Therefore, the greatest common factor of x² + 5x is x. The greatest common factor of x² + 5x is the largest number or expression that can divide evenly into both x² and 5x.

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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

We can rewrite the circle equation as:

(x - 1)^2 + y^2 = 9

Then the two true statements are:

"The center of the circle lies on the x-axis"

" The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9."

Which statements are true about the circle?

Remember that a general circle equation with a center (a, b) and radius R is:

(x - a)^2 + (y - b)^2 = R^2

Here the equation is:

x^2 + y^2- 2 x - 8 = 0

We can rewrite this as:

(x^2 - 2x) + y^2 = 8

Adding and subtracting 1 in the left side we can complete squares:

(x^2 - 2x + 1) - 1 + y^2 = 8

(x - 1)^2 + y^2 = 9

Tha is our equation, so the center is (1, 0) and the radius is 3 units.

Then the true statements are:

"The center of the circle lies on the x-axis"

" The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9."

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If f(x) + x^2[f(x)]^5 = 34 and f(1) = 2, find f '(1). F '(1) = Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y sin 12x = x cos 2y, (pi/2, pi/4)

Answers

To find the derivative of f(x) at x = 1, we can use the formula for implicit differentiation:

d/dx[f(x) + x^2[f(x)]^5] = 0

Substituting the given values, we get:

d/dx[f(1) + 1^2[f(1)]^5] = 0

d/dx[2 + 1[2]^5] = 0

Solving for the derivative, we get:

d/dx[2 + 1[2]^5] = 0

d/dx[2 + 32] = 0

0 + 32 = 0

Therefore, the derivative of f(x) at x = 1 is 32.

To find the equation of the tangent line to the curve at the given point (pi/2, pi/4), we can use the formula for the slope of a tangent line:

m = f'(x) = d/dx[y sin 12x] / d/dx[x cos 2y]

Substituting the given values, we get:

m = d/dx[pi/4 sin 12(pi/2)] / d/dx[pi/2 cos 2(pi/4)]

m = d/dx[pi/4 sin 6pi] / d/dx[pi/2 cos pi/2]

m = 0 / 0

Since the derivative of the numerator is 0 and the derivative of the denominator is 0, the slope of the tangent line is undefined. This means that the tangent line is vertical and parallel to the y-axis.

The equation of the tangent line at the given point is therefore of the form:

x = c

where c is the x-coordinate of the given point, which is pi/2. Therefore, the equation of the tangent line is:

x = pi/2

Note that this is just the equation of a vertical line with an x-intercept at pi/2.

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Solve the following system of equations using substitution
-3x+6y=12
2y=x+4

Answers

From the equation, 0 = 0. Therefore, the system of equation has infinite number of solutions.

How to solve system of equation?

System of equation can be solved using different method such as elimination method, graphical method and substitution method.

Let's use substitution method to solve the system of equation as follows;

-3x + 6y = 12

2y = x + 4

x = 2y - 4

Hence, let's substitute the value of x in equation(i)

-3(2y - 4)+ 6y = 12

-6y + 12 + 6y = 12

-6y + 6y = 12 - 12

0 = 0

Therefore, the system of equations has infinite solutions.

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The perimeter is less than
or equal to 51 meters.
10 m
8m
8 m
10 m

Solve the inequality

Answers

Form the inequality. Remember, the perimeter is the sum of all sides.

(8•2)+(10•2)+x≤51

16+20+x≤51

36+x≤51

x≤51-36

x≤15

Therefore,

(8•2)+(10•2)+15≤51

16+20+15≤51

51≤51


Hamza wants to create a bumper sticker with his design. Bumper stickers usually have a height of 3 1/2​ inches. What will the width of his sticker be?

Answers

The width of the bumper sticker is 6 1/4 inches .

What is the width of the bumper sticker?

In order to determine the width of the bumper sticker, the first step is to determine the relationship between the height of the design and that of the bumper sticker.

The relationship can be determined by dividing the height of the bumper sticker by the height of the design.

Proportion of the heights = 3 1/2 ÷ 2

5/2 ÷ 2

= 5/2 x 1/2 = 5/4 = 1 1/4

Now, multiply the proportion of the heights by the width of the design :

Width of the design = 1 1/4 x 5

5/4 x 5/1 = 25/4 = 6 1/4 inches

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Answer: 6 1/4

Step-by-step explanation: stickers that can be custom screen printed. The most common or average size is probably the 3″ X 11.5″

Priya invests a sum of money at an interest rate of 8% per year.
At the end of one year, the interest she receives is 1800 rupees.

Work out the value of Priya’s investment at the end of one year.

Answers

The value of Priya's investment at end of the year is Rs. 24300.

Simple Interest:

The formula for simple interest is given by

           Simple interest, I = PTR/100    

Where, P = Principal amount, T = Time period, and R = Rate of interest  

And the formula for the Amount at end of the time period is given by

                 Amount, A = P + I  

Here we have

Priya invests a sum of money at an interest rate of 8% per annum

The interest that she gained after 1 year = 1800 Rs.

Let P be the principal amount i.e Priya's investment

Then calculate Simple interest on P at 8% for 1 year

As we know Simple interest = PTR/100    

Interest on P = P(1)(8)/100 = 0.08P

From the given data, interest at end of the year = Rs. 1800

=> 0.08P = 1800

=> P = 1800/0.08

=> P =  22500  

The amount that Priya invested = Rs. 22500

As we know Amount = Principal amount + interest

= Rs. 22500 + Rs. 1800

= Rs. 24300  

Therefore,

The value of Priya's investment at end of the year is Rs. 24300.    

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Y=-3x²+26x–46
x+y = 8

Answers

Answer:

-3x^2--20x+(y-8)=0

Find the values of x and y. The diagram is not to scale

Answers

Answer:

B

Step-by-step explanation:

(x - 1) and 74° are corresponding angles and are congruent , so

x - 1 = 74 ( add 1 to both sides )

x = 75

the top angle of the triangle are alternate angles and are congruent

top angle = 40°

the sum of the 3 angles in a triangle is 180°

sum the 3 angles and equate to 180

y - 2 + 40 + 74 = 180

y + 112 = 180 ( subtract 112 from both sides )

y = 68

50 POINTS DUE TODAY, Giselle wants to buy the newest book in her favorite series. She has some money saved but does not want to use all her savings on the book. Giselle’s grandma offers to pay some of the cost of the book for every weed she pulls in her grandma’s garden. The graph shows the cost to Giselle for the purchase of the book after pulling x weeds in her grandma’s garden.
Select True or False to describe each statement.

Answers

Answer:

Step-by-step explanation:

Based on the graph, it appears that Giselle's grandma is offering to pay for a certain percentage of the cost of the book for every weed that Giselle pulls in her garden. The more weeds Giselle pulls, the more money her grandma will contribute, which will reduce the amount that Giselle has to pay for the book. This can be a good way for Giselle to save money on the book without using all of her savings.

1. True, the graph's beginning represents cost before she picks any weeds.

2. False, the graph shows that the cost for he goes into the negatives, showing that she is still able to earn more money from picking weeds.

3.True, from 0 weeds to 5 weeks picked you can see the price change from $18 to $17.

4. True, once she picks 90 weeds she earns the exact amount of money needed to buy the book.

5. False, she would need to pull 90 weeds in order to not spend her own money.

The coordinates of the endpoints A B are given. A (7,6) and B (-9,-6). Point K is located on AB so that AK= 3/1. What is the x-coordinate of point K?

Answers

The x-coordinate of the point K that divides AB in 3:1 will be -5.

What is the section of the line?

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The directions of the endpoints A and B are given. A (7,6) and B (- 9,- 6). Point K is situated on the Stomach muscle with the goal that AK: KB = 3/1.

Then the x-coordinate of the point K is given as,

x = (mx₂ + nx₁) / (m + n)

x = [3(-9) + 1(7)] / (3 + 1)

x = (- 27 + 7) / 4

x = - 20 / 4

x = - 5

The x-coordinate of the point K that divides AB in 3:1 will be -5.

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six is what percentage of ten?

Answers

Answer: 60%

Step-by-step explanation:

6/10 = 60/100 = 60%

Answer: 60%

Step-by-step explanation:

6/10=60/100

Please help me!!!!
Simplify the expression completely.
2 (2.5 -|-6|)

Answers

The value fo the numerical expression 2 × (2.5 -|-6|) will be negative 7.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 2 × (2.5 -|-6|)

We know that the value inside the mode is always positive, then the expression is written as,

⇒ 2 × (2.5 -|-6|)

⇒ 2 × (2.5 - 6)

Simplify the expression, then the value of the expression is given as,

⇒ 2 × (2.5 - 6)

⇒ 2 × (- 3.5)

⇒ - 7

The value fo the numerical expression 2 × (2.5 -|-6|) will be negative 7.

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When archeologists excavate a site, they mark it off with a coordinate grid so that they can easily
identify where artefacts are found and keep a record of the site forever. At the West Kennet Long
Barrow in England, a grave site back to 3600 BCE was found. There are three chambers at the
coordinates (7,9), (17, 33) and (-36,41). It has been said that they form an isosceles triangle with
height twice the length of its base.
Determine whether the statement is true. Justify your answer. Hint: An isosceles triangle has at
least two sides of equal side lengths.

Answers

To determine whether the statement that the three chambers at the West Kennet Long Barrow form an isosceles triangle is true, we need to first calculate the distances between each pair of chambers.

The distance between the chambers at coordinates (7,9) and (17,33) can be calculated using the distance formula:

distance = √((x2-x1)^2 + (y2-y1)^2)

Plugging in the coordinates, we get:

distance = √((17-7)^2 + (33-9)^2)

distance = √(10^2 + 24^2)

distance = √(100 + 576)

distance = √676

distance = 26

The distance between the chambers at coordinates (7,9) and (-36,41) can be calculated using the same formula:

distance = √((-36-7)^2 + (41-9)^2)

distance = √((-43)^2 + (32)^2)

distance = √(1849 + 1024)

distance = √2873

distance = 53.6

The distance between the chambers at coordinates (17,33) and (-36,41) can be calculated using the same formula:

distance = √((-36-17)^2 + (41-33)^2)

distance = √((-53)^2 + (8)^2)

distance = √(2809 + 64)

distance = √2873

distance = 53.6

Since the distance between the chambers at coordinates (7,9) and (17,33) is not equal to either of the distances between the other pairs of chambers, we can conclude that the statement is not true. The chambers do not form an isosceles triangle, as they do not have at least two sides of equal side lengths

2 + 3 + 1 17/20 + 1/2 + 3/4

Answers

Answer:

Step-by-step explanation:

12.1

Answer:

8 [tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]\frac{17}{20}[/tex] = [tex]\frac{34}{40}[/tex] Multiplied the numerator and denominator by 2

[tex]\frac{1}{2}[/tex] = [tex]\frac{20}{40}[/tex]  Multiplied the numerator and denominator by 20

[tex]\frac{3}{4}[/tex] = [tex]\frac{30}{40}[/tex]  Multiplied the numerator and denominator by 10

2 + 3 + 1 [tex]\frac{34}{40}[/tex] + [tex]\frac{20}{40}[/tex] + [tex]\frac{30}{40}[/tex]

6 [tex]\frac{84}{40}[/tex]  This can be written

6 + [tex]\frac{40}{40}[/tex] + [tex]\frac{40}{40}[/tex] + [tex]\frac{4}{40}[/tex]  another name for [tex]\frac{40}{40}[/tex] is 1

6 + 1 + 1 +[tex]\frac{4}{40}[/tex]

8[tex]\frac{4}{40}[/tex]  Divide the numerator and denominator by 4 to simplify

8 [tex]\frac{1}{10}[/tex]

Work out the volume of the prism. 6 cm 12 cm 2 cm​

Answers

Answer:

V = 72 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the triangular face and h is its height )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 12 and h = 6

A = [tex]\frac{1}{2}[/tex] × 12 × 6 = 6 × 6 = 36 cm² , then

V = 36 × 2 = 72 cm³

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