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3 years ago

What name is given to quadrilaterals in which the diagnosis are equal in length and bisect each other?

Mathematics

2 answers:

vfiekz [6]3 years ago

8 0

Answer:

Did you mean the diagonal are equal in length and bisect each other?

In that case, it is parallelogram.

Hope this helps!

inn [45]3 years ago

7 0

Answer:

Rectangles

Step-by-step explanation:

Diagonals bisect each other for all parallelograms.

But they are equal in a few.

Note: square is also a rectangle

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Find the volume of the wedge with vertices at points (0,0,0), (1,0,0), (0,1,0), (0,0,1) by integrating the area of cross-section

Angelina_Jolie [31]

Answer:

V = 1/6 cubic units

Step-by-step explanation:

Applying the concept of integrals for volume calculation:

$V = \int\limits^b_a {S(x)} \, dx$ (1)

V = volume of the solid bounded by x = a and x = b

S(x) = cross section area of the solid, perpendicular to the x axis

From the figure we have that S is the area of a triangle that has base Z and height Y

Area of the triangle = $S(x)=\frac{y(x)*z(x)}{2}$ (2)

Calculation of y(x) and z(x)

We apply the equation of the point-slope line (plane xy):

Slope = $m = \frac{y_{2} - y_{1} }{x_{2} - x_{1}}$ (3)

Equation of the line = $y - y_{1} =m(x-x_{1} )$ (4)

Replacing the points (1,0) and (0,1) in (3):

$m=\frac{1-0}{0-1} =-1$

Replacing the point (1,0) and m = -1 in (4):

$y-0=(-1)(x-1)$

y(x) = -x + 1 (Line A-B) (5)

We apply the equation of the point-slope line (plane xz):

Slope = $m = \frac{z_{2} - z_{1} }{x_{2} - x_{1}}$ (6)

Equation of the line = $z - z_{1} =m(x-x_{1} )$ (7)

Replacing the points (1,0) and (0,1) in (6):

$m=\frac{1-0}{0-1} =-1$

Replacing the point (1,0) and m = -1 in (7):

$z-0=(-1)(x-1)$

z(x) = -x + 1 (Line A-C) (8)

Replacing (5) and (8) in (2)

$S(x) = \frac{(-x + 1) * (-x + 1)}{2} =\frac{(-x + 1)^{2} }{2}$ (9)

Replacing (9) in (1) and knowing that a = 0 and b = 1:

$V = \int\limits^1_0 {\frac{(-x + 1)^{2} }{2}} \, dx = \int\limits^1_0 {\frac{x^{2}-2x+1 }{2}} \, dx$

$V =\frac{1}{2} (\frac{x^{3} }{3} -2\frac{x^{2} }{2} +x)$ evaluated from x=0 to x=1

$V= \frac{1}{2} (\frac{1}{3} -1 +1) = \frac{1}{6}$

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3 years ago

in a school all students play either football ir volleyball 300 play football 250 play volleyball and 110 play both the game . d

Damm [24]

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Volume of a cylinder with a height of 8 and a width of 8

tangare [24]

Answer:

I am only in like 5th grade, but I'll do my best to answer this.

Step-by-step explanation:

Volume of a cylinder: πr^2h where "r" is the radius and "h" is the height

π * 4^2 because since the width is 8, half of that is the radius

π * 4^2 * 8 because you still have to multiply that by the height to find the full space inside

= π * 4^2 * 8

V ≈ 402.12 (rounded to two decimals)

6 0

3 years ago

How many solutions can be found for the system of linear equations represented on the graph?

Alexxandr [17]

Answer: D) infinitely many solutions

Explanation: because the lines overlap each other every single point is a solution, therefore infinitely many solutions

3 0

3 years ago

Two fifth of a certain number is 30 what is the number?

vesna_86 [32]

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Beginning with an "If-then" statement ⇣

Now we have 1/5, let's make it 1 by multiplying x5.

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Good luck! :)

~pinetree

3 0

2 years ago