All Questions ⁺⁰237665 Questions

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424

1

+101

could anyone explain this?

simplify 1/3+3/3^2+3^2/3^3+3^3/3^4+...+3^2999/3^3000

vxnessa Dec 2, 2021

-1

295

1

Trig

In right triangle DEF, we have angle D = 25 degrees, angle E = 90 degrees, and EF = 19. Find DE to the nearest tenth. You may use a calculator for this problem.

Guest Dec 2, 2021

-1

271

0

Complex numbers

Suppose that a and b are positive integers such that (a-bi)^2 = 8 - 6i + 13 - 4i. What is a-bi?

Guest Dec 2, 2021

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237

0

Complex Numbers

Let z be a complex number such that z + 1/z = -1. Find z^3.

Guest Dec 2, 2021

-1

275

0

Polynomials roots

A polynomial with integer coefficients is of the form
\[9x^4 + a_3 x^3 + a_2 x^2 + a_1 x + 108 = 0.\]
Find the number of different possible rational roots of this polynomial.

Guest Dec 2, 2021

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402

1

Probability

The following cards are dealt to three people at random, so that everyone gets the same number of cards. What is the probability that everyone gets a red card?

read more ..

Guest Dec 2, 2021

+1

333

1

Geometry

Let XY be a tangent to a circle, and let XA be a secant of the circle, as shown below. If AX = 15 and XY = 8, then what is AB?

read more ..

Guest Dec 2, 2021

0

296

1

Geometry

Find the area of triangle ABC below.

Guest Dec 2, 2021

0

355

1

Geometry

For the triangle below, let x be the area of the circumcircle, and let y be the area of the incircle. Compute x - y.

Guest Dec 2, 2021

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300

0

Geometry

Regular octagon ABCDEFGH has an area of 1. Find the area of the yellow region.

Guest Dec 2, 2021

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260

0

Geometry

ABCDEF is a regular hexagon with area 1. Find the area of the green region.

Guest Dec 2, 2021

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331

2

Probability

Wu rolls two fair, six-sided dice. You are not told what the rolls were, but you are told that the sum of the two rolls is a prime. What is the probability that the sum of the two rolls is $2$?

Guest Dec 2, 2021

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281

1

Geometry

In concave equilateral pentagon ABCDE, angle A=angle B= 108 degrees. What is the degree measure of E?

Guest Dec 2, 2021

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284

0

Geometry

In the regular octagon below, find x.

Guest Dec 2, 2021

0

235

0

Geometry

In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects angle BAC, and let the perpendicular bisector of AB intersect AD at E. If AB = 44, AC = 36, and ME = 15, then find the area of triangle ACD.

Guest Dec 2, 2021

0

259

0

HELP

Guest Dec 2, 2021

0

424

1

+4

Trig

A Ferris wheel has a maximum height of 56 m and a minimum height of 14 m. It can make one rotation in 45 seconds. During the first rotation, when is the instantaneous rate of change of the height of a chair on the Ferris wheel 0, if it starts read more ..

blutigress Dec 2, 2021

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262

0

Geometry

The line y = (3x + 20)/4 intersects a circle centered at the origin at A and B. We know the length of chord AB is 18. Find the area of the circle.

Guest Dec 2, 2021

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331

1

a chalenge!

can someone round 1,849 t0 the nearest 10th

Guest Dec 2, 2021

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246

0

Geometry

In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects angle BAC, and let the perpendicular bisector of AB intersect AD at E. If AB = 44, AC = 38, and ME = 18, then find the area of triangle ACD.

Guest Dec 2, 2021

0

281

1

Number Theory

What is the remainder when 2013^(2013^2) is divided by 13?

Guest Dec 2, 2021

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295

1

help plz

How many 5-digit numbers are divisible by 11 and have the sum of its digits equal to 40?

Guest Dec 2, 2021

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307

1

Number Theory

How many four digit numbers are divisible by all of the following: 2, 3, 5, 7, and 19?

Guest Dec 2, 2021

0

463

1

find the center,vertices,convertices and foci of the ellipse with given equation.

Guest Dec 2, 2021

0

431

1

Binomial Theorem

When (a+b)^5 is expanded using the Binominal Theroem for certain values of a and b, the second term is 15, and the third term is $60$. Find the first term

Guest Dec 2, 2021

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