All Questions ⁺⁰237784 Questions

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158

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Geometry

Help with parallelogram
In the diagram below, PQRS is a parallelogram with a perimeter of 26 and an area of 28. What is the perimeter of rectangle OSTQ? Include an explanation of how you solved the problem.

Guest Mar 31, 2023

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165

5

helllllppppp

Find the number of positive integers that satisfy both the following conditions: Each digit is a 1 or a 2 The sum of the digits is 8

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Guest Mar 31, 2023

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156

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Counting

You are given the 4 x 4 grid below.
(a) Find the number of ways of placing 8 counters in the squares (at most one counter per square), so that each row contains exactly two counters.
(b) Find the number of ways read more ..

Guest Mar 31, 2023

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170

1

Algebra

Let a and b be real numbers such that a - b = 1 and a^3 - b^3 = 1
(a) Find all possible values of ab
(b) Find all possible values of a+b
(c) Find all possible values of a and b

Guest Mar 31, 2023

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173

1

Probability

A stick is broken at two points, chosen at random. If the length of the stick is 6 then what is the probability that all three resulting pieces are shorter than 2 units?

Guest Mar 31, 2023

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152

1

Help please!!

Exactly one of the numbers 2,3 5 and 7 is placed in each of the 4 empty regions formed by circles A, B and C so that the sum of the numbers in each circle is the same. Each number is used. What is the sum of the numbers in each circle? *
BTW
CIRCLE read more ..

Guest Mar 31, 2023

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142

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precalc

Plz help with parametric equations
The position of a particle is given by the parametric equations
x = 1 + sin pi*t - cos pi*t
y = 3*sin pi*t + 2*cos pi*t read more ..

Guest Mar 31, 2023

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141

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counting

Help plz with counting
Find the number of ways of arranging the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 in a row so that the product of any two adjacent numbers is even or a mutliple of 3

Guest Mar 31, 2023

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145

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counting

I need help here plz
Three adults and three children are to be seated at a circular table. In how many different ways can they be seated if each child must be next to at least one adult? (Two seatings are considered read more ..

Guest Mar 31, 2023

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153

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Probability

Can anyone help with this?
Let PQR be an equilateral triangle, centered at O. A point X is chosen at random inside the triangle. Find the probability that X is closer to O than to any of the sides. (In read more ..

Guest Mar 31, 2023

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136

0

Algebra

Help this is hard
Let S be the set of all real numbers of the form
a1/3 + a2/3^2 + a3/3^3 + ....
where a_i \in {0, 1, 2} for all i.
(a) Is the number 1/7 in the set S? read more ..

Guest Mar 31, 2023

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170

2

Find the distance, c, between (0, 0) and (–4, –3) on the coordinate plane. Round to the nearest tenth if necessary.

Find the distance, c, between (0, 0) and (–4, –3) on the coordinate plane. Round to the nearest tenth if necessary.

Guest Mar 31, 2023

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139

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Algebra

For a certain value of k, the system
x + y + 3z = 10
-4x + 8y + 5z = 7
kx + z = 3 read more ..

Guest Mar 31, 2023

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164

2

Halp!! I cant figure this out!

What is the value of in terms of x? Express your answer in the form where and are numbers.

Guest Mar 31, 2023

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147

0

Probability

What do I do
Right triangle XYZ has legs of length XY = 12 and YZ = 6. Point D is chosen at random within the triangle XYZ. What is the probability that the area of triangle XYD is at most 20?
Guest Mar 16, read more ..

Guest Mar 31, 2023

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166

1

where is phil

Guest Mar 31, 2023

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147

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counting

Help I need to count this
Catherine rolls a standard 6-sided die five times, and the product of her rolls is . How many different sequences of rolls could there have been? (The order of the rolls matters.)

Guest Mar 31, 2023

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141

0

Algebra

Let r be a root of x^3 - 2x + 5 = x^3 - x^2 + 9. Show that none of r, r^2, or r^3 is irrational.

Guest Mar 31, 2023

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153

1

halp

Altitudes $\overline{AD}$ and $\overline{BE}$ of acute triangle $ABC$ intersect at point $H$. If $\angle AHB = 128^\circ$ and $\angle BAH = 28^\circ$, then what is $\angle HCA$ in degrees?

Guest Mar 31, 2023

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148

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counting

When two standard 6-sided dice are rolled, there are 36 possible outcomes for the sum of the two rolls: one sum of 2, two sums of 3, and so on, up to one sum of 12.
Find all possible ways of numbering two 6-sided dice read more ..

Guest Mar 31, 2023

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