All Questions ⁺⁰238122 Questions

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Three unit circles are externally tangent to each other and internally tangent to a larger circle. What is the radius of the large circle? Express your answer as a common fraction in simplest radical form.

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Guest Jun 14, 2020

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2351

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PLEASE HELP!

We can use the right outside diagonal of the empty Calpas's triangle as the coefficients of a polynomial: t^3 + 6t^2 + 12t + 8. If we replace every t with t-1, we get (t-1)^3 + 6(t-1)^2 + 12(t-1) + 8. Expand and simplify this polynomial. Enter the polynomial read more ..

Guest Jun 14, 2020

+1

753

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+224

Tangent and inscribed angle question

Triangle WXY has side lengths XY = 14 and WX = 8. The tangent to the circumcircle of triangle WXY at X is drawn, and the line through W that is parallel to this tangent intersects at Z. Find YZ.
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envoy Jun 14, 2020

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625

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If x is acute and tan x = 5, then find cos x.

Guest Jun 14, 2020

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586

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There are 9 balls in a bag - 3 green, 3 blue, and 3 red.
Three kids reach in and grab 3 random balls each.
How many different arrangements can they end up with?
Clarification: The balls are indistinguishable, and if one kid read more ..

Guest Jun 14, 2020

Jun 13, 2020

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749

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+273

HELPPPPP

qwertyuiopasdfghjkl Jun 13, 2020

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622

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AD and BE are altitudes of triangle ABC. If AC = 10, BC = 8, and AD = 5, then find BE.

Guest Jun 13, 2020

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571

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You are given a cube of unit edge length. Find the shortest distance between two opposite vertices (i.e. the end points of a space diagonal) if your path between the two vertices has to be on the surface of the cube.

Guest Jun 13, 2020

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609

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HELP!!!!! DUE TODAY

Let A=(6,2), and let B be the reflection of A over the line y = (1/2)x + 5. Find the coordinates of B

Pls help, thanks read more ..

Guest Jun 13, 2020

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571

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help

In triangle PRS, angle P = 90 degrees, angle R = 60 degrees, and PR = 12. SR is extended past R so that QR = 8. Find the area of triangle QPS.

Guest Jun 13, 2020

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797

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help

A box contains apples and pears. An equal number of apples and pears are rotten. 2/3 of all the apples are rotten. 3/4 of all the pears are rotten. What fraction of the fruit in the box is rotten?

Guest Jun 13, 2020

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628

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help

In the board game “So Many Bills”, there are $1, $2 and $3 bills.
There are 11 more $2 bills than $1 bills.
There are 18 fewer $3 bills than $1 bills.
If there is $100 in total, then how many $1 bills are there in the board game? read more ..

Guest Jun 13, 2020

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588

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In triangle ABC, angle A is twice angle C, side BC is 2 units longer than side AB, and AC = 5. Find the length of AB.

Guest Jun 13, 2020

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741

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I neep help urgently

1. In triangle ABC, angle A = 30 and angle B = 60 . Point X is on side AC such that line segment BX bisects angle ABC . If AB=12, then find the area of triangle BXA .

2. Find the area of triangle PQR if PQ = QR=12 and angle PQR = read more ..

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Guest Jun 13, 2020

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670

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please help

If we only used plus signs and minus signs in place of the boxes above, how many distinct values can we obtain?

Guest Jun 13, 2020

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685

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help

If 3 <= p <= 10 and 12 <= q <= 21, then find the difference between largest and smallest possible values of p/q.

Guest Jun 13, 2020

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715

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+256

I need help really quick

A cyclist biked from Berkeley to a town 150km away. On her way back, she increased her average speed by 15 km/h and returned 30 minutes faster. Find the cyclist's average speed on the way to the other town.

BWStar Jun 13, 2020

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595

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The first term of a sequence is 20.
If a term in the sequence is t and t is even, the next term is t/2
If a term in the sequence is t and t is odd, the next term is 3t + 1.
Therefore, the first three terms in the sequence are 20, 10, 5.
What read more ..

Guest Jun 13, 2020

+12

632

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+315

help please

Given the four digits 2, 4, 6, and 7, how many different positive two-digit integers can be formed using these digits if a digit can be repeated in an integer?

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polyyou Jun 13, 2020

+12

678

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+315

help please

In how many ways can a President and a Vice-President be chosen from a group of 5 people (assuming that the President and the Vice-President cannot be the same person)?

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polyyou Jun 13, 2020

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