Can a trapezoid and a square ever have the same area?

Answers

Answer 1
Answer:

Answer:You can make a square have any area you want it to, by making its sideslonger or shorter. You just have to keep all the sides the same length andone of its angles 90 degrees, otherwise you won't have a square any more.-- You can make a trapezoid have any area you want it to, by making its sideslonger or shorter. You just have to keep one pair of sides parallel, otherwiseyou won't have a trapezoid any more.-- Since you can make a square with any area you want, and you can make atrapezoid with any area you want, there's no reason why you can't make oneof each, that both have the same area.-- And while you're at it, you could also make a circle that has the same areaas the square and the trapezoid.

Step-by-step explanation:

Answer 2
Answer:

Final answer:

Yes, a trapezoid and a square can have the same area. Area is the measure of the space inside a shape and two different shapes can occupy the same amount of space. An example is provided to illustrate this.

Explanation:

Yes, a trapezoid and a square can have the same area. Area is simply a measure of the space inside a shape, and it's entirely possible for two different shapes to occupy the same amount of space. For instance, consider a square of side length 4 units. Its area would be 16 square units. Now consider a trapezoid with base lengths of 3 units and 5 units, and a height of 4 units. The area of a trapezoid is calculated as ((base1+base2)/2)*height, which would also give us 16 square units in this case. So, these two shapes - the square and the trapezoid - have the same area.

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Use the slope formula to find the missing coordinate. R(0, _), S(-4, 2) m = 5
a. 18
b. 22
c. -22

Answers

Answer: b. 22

Step-by-step explanation:

The slope of a line passing through two points A(a,b) and B(c,d) is given by:_

m=(d-b)/(c-a)

Let the missing coordinate of point R be y.

Then , the slope of the line passing through the points R(0,y) and (-4,2) will be :_

5=(2-y)/(-4-0)\n\n\Rightarrow\ 5=(2-y)/(-4)\n\n\Rightarrow\ -4*5=2-y\n\n\Rightarrow\ y=2+20=22

Hence, the missing coordinate of point R is y= 22

if im not mistaken it is 22

Find three consecutive ODD integers such that the sum of 7 times the smallest and twice the largest is -91. Name the smallest integer..

Answers

Answer:

              -11, -9, -7

the smallest:   2x+1 = -11

Step-by-step explanation:

{z - some integer}

2z+1  - the smallest number

7(2z+1)  - seven times the smallest number

2z+1+2=2z+3  - the middle number

2z+3+2 = 2z+5 - the largest number

2(2z+5) - twice the largest number

7(2z+1) + 2(2z+5)  - the sum of 7 times the smallest and twice the largest

7(2z+1) + 2(2z+5)   = -91

14z + 7 + 4z + 10 = -91

              -17              -17

      18z   = -108

       ÷18        ÷18

        z = -6

2z+1 = 2(-6)+1 = -12 + 1 = -11  

2z+3 = 2(-6)+3 = -12 + 3 = -9

2z+5 = 2(-6)+5 = -12 + 5 = -7        

Final answer:

To solve this problem, we denote the smallest odd integer as 'x' and set up the equation 7x + 2(x+4) = -91. By solving this equation, we find that the smallest integer is -15.

Explanation:

To find the three consecutive odd integers, let us denote the smallest odd integer as x; therefore, the next two consecutive odd integers would be x + 2 and x + 4, respectively. The problem states that the sum of seven times the smallest integer and twice the largest integer equals to -91. So, we can translate this into the equation, 7x + 2(x+4) = -91. Solving this gives us x = -15. Hence the smallest integer is -15. The full solution is as follows:

  1. Let the smallest integer be x.
  2. Then the other two consecutive odd numbers are x + 2 and x + 4.
  3. According to the question, 7x + 2(x + 4) = -91.
  4. Solving for x, we get x = -15.
  5. Hence, the smallest odd integer sought is -15.

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The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50.If 75 pairs of jeans are sold, what is the company’s profit?

Answers

To answer the problem above we apply the given. If x is represented by the number of jeans sold then we only need to substitute x. 20x - 50 = 20(75) - 50 = 1500 - 50 = 1450. Th profit of the company is 1450,

Answer:

B: $1450

Step-by-step explanation:

MATH HELP MIDPOINT…..

Answers

Step-by-step explanation:

Going from  V to M :

 x   goes from   13 to 7      or a change of  -6    go  -6 more to reach U, x  = 1

 y goes from   8 to 12    or a change of + 4   go +4 more to reach U, y  = 16

U = (1,16)

During a soccer season, Mario made approximately 2 goal points for every 5 of his shots on goal.  What is the probability that Marion would make 2 goal points on two shots in a row during the season?

Answers

The probability of each shot making it is ⅖. The probability of two shots making it is 2/5*⅖, which is 4/25 or .16

Answer: it would be .16 which is the answer

Step-by-step explanation:

(6^-2) x (3^2)

Solve.

Answers

i'm pretty sure the answer is .25 (or 1/4 if you write it like that)