All Questions ⁺⁰237641 Questions

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In triangle ABC, C is 60 degrees and angle A is greater than angle B. The bisector of angle C intersects AB at E. If CE is equal to the geometric mean of AE and EB, then find AE/AC.

Guest Dec 8, 2019

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791

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Find the sum of the infinite series of whose nth term is 7^{n - 1}/10^n.

Guest Dec 8, 2019

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1041

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In the five-digit base ten numeral ABCDE, different letters do not necessasrily represent different digits. If this numeral is the fourth power of an integer and if A + C + E = B + D, find the digit C.

Guest Dec 8, 2019

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456

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A piece of paper in the shape of an equilateral triangle ABC has AB = 15. When A is folded over to the point D on BC for which BD = 3, a crease is formed along a line that joins a point on AB to a point on AC. Find the length of this crease. read more ..

Guest Dec 8, 2019

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813

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Find all ordered pairs of real nubmers (a,b) for which 3*sqrt(x - 2y) + 3/sqrt(x - 2y) = 10 and x = ay + b.

Guest Dec 8, 2019

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466

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If a is not equal to 0, and if x + y = a and x^3 + y^3 = b, write an equation expressing x^2 + y^2 explicitly in terms of a and b.

Guest Dec 8, 2019

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1337

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PLEASE HELP!

Sherry had 7/8 of a cup of sugar in her kitchen, and then she used 1/2 of a cup of sugar to make sweet tea. She used what fraction of her sugar to make sweet tea?

Guest Dec 8, 2019

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451

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Solve for x

x + 8 - 4(x-1) = 2x + 3 solve for x and round to the nearest tenth.

Guest Dec 8, 2019

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483

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A unit fraction is a fraction of the form 1/n, where n is an integer greater than 1. Find the two largest unit fractions, each of which is the square of a rational number, whose sum is also the square of a rational number.

Guest Dec 8, 2019

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734

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Two men, A and B, start at the same point, walk in opposite directions, and reach their respective destinations, X and Y, each in one hour. Had they exchanged destinations from the start, A would have arrived at Y 35 minutes after B would have arrived read more ..

Guest Dec 8, 2019

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481

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The coordinates of the vertices of pentagon ABCDE are A(0,0), B(11,0), C(11,2), D(6,2), and E(0,8). The line whose equation is x = k partitions this pentagonal region into two regions of equal real. Find k.

Guest Dec 8, 2019

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801

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+847

EUCLIDEAN ALORTHM?

Help! What is the Greatest Common Factor of 12x and 3x^2+6x?

ant101 Dec 8, 2019

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591

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help with mod inverses

I've been stuck on this one for a while, I just don't know what to do with all of this info :(
Given , denote by the inverse of . That is, is the residue for which . Sadie wonders if is always congruent read more ..

Guest Dec 8, 2019

Dec 7, 2019

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1669

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Spheres! Yay?

The surface area of a sphere with the radius r is 4 pi r^2. Including the area of its circular base, what is the total surface area of a hemisphere with the radius 6 cm? Express your answer in terms of pi.

Work/confusion: read more ..

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tommarvoloriddle Dec 7, 2019

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968

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Cells Per Person

Estimate the number of cells in a(n) 74-kilogram (163-pound) person, assuming the human body is 100% water (actually it is 60-70% water) and that 1 liter of water weighs 1 kilogram. cells per person

Guest Dec 7, 2019

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533

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What is the measure of the acute angle of a rhombus with side of length equal to the geometric mean of its diagonals?

What is the measure of the acute angle of a rhombus with side of length equal to the geometric mean of its diagonals?
A) 15° B) 30° read more ..

Guest Dec 7, 2019

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1635

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Please Help with this problem

Altitudes AD and BE of acute triangle ABC intersect at point H . If AHB=123 and BAH=26, then what is HCA in degrees?

https://imgur.com/gallery/Wzw2uTm

Guest Dec 7, 2019

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615

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i dont know how to do this

Suppose g(x) is a polynomial of degree five for which g(1) = 2, g(2) = 3, g(3) = 4, g(4) = 5, g(5) = 6, and g(6) = -113. Find g(0).

Guest Dec 7, 2019

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856

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GEOMETRY

If all the angles in the figure shown are right angles, what is the perimeter of the figure?

https://ibb.co/YLhzt8x
^^^^^ Picture for the question

Is the answer 10+12+10+12+7+7+6=20+24+14+6 read more ..

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tommarvoloriddle Dec 7, 2019

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466

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help

The length of each side of triangle ABC is 6. If X is the trisection point of CA nearer C and if median AM intersect BX at U, then find MU.

Guest Dec 7, 2019

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476

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A sequence is defined by a_1 = 1, a_2 = 3, a_3 = 5, and a_n = a_{n - 1} + a_{n - 2} - a_{n - 3} for n > 3. Find the sum of the first 30 terms of the sequence.

Guest Dec 7, 2019

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1144

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help s'il te plait et merci

Suppose that a 30-digit integer N is composed of thirteen 7s and seventeen 3s. What is the remainder when N is divided by 36?

Guest Dec 7, 2019

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659

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help

If x^3 + 1/x^3 + 110, then find x + 1/x.

Guest Dec 7, 2019

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443

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If the lengths of the bases of a trapezoid inscribed in a circle are 10 and 20, and the length of one of the legs is sqrt(89), find the length of one diagonal.

Guest Dec 7, 2019

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