All Questions ⁺⁰236265 Questions

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Geometry

Which of the following shapes can be folded into a regular tetrahedron? Select all that apply. read more ..

cooIcooIcooI17 Dec 30, 2024

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+681

Geometry

Let ABCDEFGH be a cube. Find $\angle ACG$ in degrees.

cooIcooIcooI17 Dec 30, 2024

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+681

Geometry

In unit square ABCD, E and F are the midpoints of $\overline{AD}$ and $\overline{AB},$ respectively. The square is then folded along the edges of triangle $CEF,$ so that triangles $AEF,$ $CDE,$ $BCF,$ and $CEF$ form the faces of a pyramid. Find read more ..

cooIcooIcooI17 Dec 30, 2024

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+681

Geometry

All the sides of a regular tetrahedron have length. Find the volume of the tetrahedron.

cooIcooIcooI17 Dec 30, 2024

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+1375

Geometry

Triangular pyramid BCDG is cut from cube ABCDEFGH. The triangular pyramid is then placed on a surface with triangle BCD as the base. Given that the side length of the cube is 1, find the height of the pyramid.

learnmgcat Dec 30, 2024

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+1375

Geometry

ABCDE is a right square pyramid. Find the total surface area of the pyramid.

learnmgcat Dec 30, 2024

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+1375

Geometry

Three face diagonals of a rectangular prism have lengths $5,$ $5,$ and $5.$ Find the length of its space diagonal.

learnmgcat Dec 30, 2024

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+1375

Geometry

ABCDEFGH is a rectangular prism. The volume of pyramid $BEFG$ is $5.$ Find the volume of the whole rectangular prism.

learnmgcat Dec 30, 2024

Dec 29, 2024

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+4

Simplify the expression: (3 + 2i) / (1 - i), where 'i' is the imaginary unit (i² = -1)

Simplify the expression: (3 + 2i) / (1 - i), where 'i' is the imaginary unit (i² = -1)

CocoOwen ●●●

RevanthKT Dec 29, 2024

Dec 28, 2024

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+681

Geometry

The Varignon parallelogram of a kite always be what kind of quadrilateral? Select all the answers that apply.
The Varignon parallelogram of a parallelogram always be what kind of quadrilateral? Select all the answers that read more ..

cooIcooIcooI17 Dec 28, 2024

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+681

Geometry

What kind of quadrilateral has the property that the diagonals of the quadrilateral always divide it into four triangles that are congruent? Select all the answers that apply.
What kind of quadrilateral has the property that the read more ..

cooIcooIcooI17 Dec 28, 2024

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Geometry

Trapezoid ABCD has bases \overline{AB} and \overline{CD}. The extensions of the two legs of the trapezoid intersect at $P$. If $[PBC] = 15$ and $CD = 3 \cdot AD,$ what is $[ABCD]$?

cooIcooIcooI17 Dec 28, 2024

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+681

Geometry

Trapezoid ABCD has bases \overline{AB} and \overline{CD}. The extensions of the two legs of the trapezoid intersect at $P$. If $[ABD]=8$ and $[PBC]=8$, then what is $[PAB]$?

cooIcooIcooI17 Dec 28, 2024

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+5

Polynomial

Given polynomial P(x) = ax^7 + bx^3 +cx - 5, where a,b,c are coefficients. Knowing that P(-7) = 7. Calculate the value of P(11)

Skibidi Dec 28, 2024

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+12

Algebra

Find constants A and B such that
(2x + 11)/(x^2 - 6x + 5) = A/(x - 3) + B/(x + 4)
for all x such that x neq 7 and x neq 8

hemiiI8675 Dec 28, 2024

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+12

Algebra

Let f(x) = lfloor (2 - 3x)/(3x + 8) \rfloor
Evaluate $f(1)+f(2) + f(3) + \dots + f(999)+f(1000).$ (This sum has $1000$ terms, one for the result when we input each integer from $1$ to $1000$ into $f$.)

hemiiI8675 Dec 28, 2024

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+12

Algebra

Let a and b be real numbers such that a^3 + 3ab^2 = 679 and 3a^3 - ab^2 = 615. Find a - b.

hemiiI8675 Dec 28, 2024

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+16

Hard Algebra Problem

For let be the function defined as follows:

Let Compute the number of points in which the graphs of and intersect.

CocoOwen Dec 28, 2024

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+199

Counting

Not including the identity transformation, the eleven transformations that preserve the regular hexagon shown are counterclockwise rotations by $60^\circ,$ $120^\circ,$ $180^\circ,$ $240^\circ$ and $300^\circ$ and reflections across the six dashed lines read more ..

Boseo Dec 28, 2024

Dec 27, 2024

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+825

Algebra

Let S be the set of all real numbers of the form
(a_1)/(3) + (a_2)/(3^2) + (a_3)/(3^3) + ...
where (a_i) is equal to either 0 or 1 or 2 for each i.
(a) Is the number 1/4 in the set S? read more ..

gnistory Dec 27, 2024

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+825

Algebra

Compute
1 + 3/7 + 5/7^7 + 7/7^2.

gnistory Dec 27, 2024

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+825

Algebra

Compute
1/(1 * 4) + 1/(4 * 7) + 1/(7 * 10)

gnistory Dec 27, 2024

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+825

Algebra

In class, we derived that
1/(n(n + 1)) = 1/n - 1/(n + 1)
Fill in the blanks to make a true equation:
1/(n(n + 3)(n + 8)(n + 15)) = ___/n + ___/(n + 3) + ___/(n + 8) + ___/(n + 15) read more ..

gnistory Dec 27, 2024

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