All Questions ⁺⁰234659 Questions

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Semicircles

Point $Y$ lies on line segment $\overline{XZ}.$ Semicircles are constructed with diameters $\overline{XY}$, $\overline{XZ}$, and $\overline{YZ}$. Find the area of the blue region.

kittykat Dec 17, 2023

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23

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+1341

Geometry

Four circles are drawn. Let $A_1,$ $A_2,$ $A_3,$ $A_4$ be the areas of the regions, so $A_1$ is the area inside the smallest circle, $A_2$ is the area outside the smallest circle and inside the second-smallest circle, and so on. The areas read more ..

kittykat Dec 17, 2023

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20

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+1341

Sector

A sector of a circle is shown below. The sector has an area of $60 \pi.$ What is the radius of the circle?

kittykat Dec 17, 2023

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19

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+1341

Circle

A circle has a circumference of $14 \pi.$ Find its area.

kittykat Dec 17, 2023

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18

2

+4

HELP

Please help, given a, b, and c are positive integers greater than 2 what are all the possible values of a*b*c given a*b*c=5(a-2)(b-2)(c-2).

SKOOBERTDOO Dec 17, 2023

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31

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+1887

Math question

Can anyone help me with this?
Find the largest value of x for which
x^2 + y^2 = 4x + 5y
has a solution, if x and y are real.

tomtom Dec 17, 2023

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26

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+25

Let be an angle such that is the terminal point of :

Let be an angle such that is the terminal point of :

Some of the points can be the terminal points of . What are these points? read more ..

Reallystupidguy Dec 17, 2023

+2

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4

+180

Find BC

itsash Dec 17, 2023

Dec 16, 2023

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+1323

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 ..

blackpanther Dec 16, 2023

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+1323

Counting

In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?

blackpanther Dec 16, 2023

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29

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+1323

Counting

A coin is tossed $12$ times. How many different sequences of tosses could there have been, if the number of heads was at least $5?$

blackpanther Dec 16, 2023

-1

30

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+1323

Counting

Find the number of positive integers that satisfy both the following conditions:
Each digit is a $1$ or a $3$ or a $5$
The sum of the digits is $5$

blackpanther Dec 16, 2023

-1

34

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+1323

Help counting

Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $2000,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)

blackpanther Dec 16, 2023

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+1323

Counting

In how many ways can the numbers $1$ through $5$ be entered once each into the five boxes below so that all the given inequalities are true?

blackpanther Dec 16, 2023

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31

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+673

Rates

Five workers have been hired to complete a job. If one additional worker is hired, they could complete the job $4$ days earlier. If the job needs to be completed $20$ days earlier, how many additional workers should be hired?

magenta Dec 16, 2023

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24

1

+673

Rates

Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Dirk finishes the race, Edith is $10$ km behind, and Foley is $15$ km behind. When Edith finishes the race, how far read more ..

magenta Dec 16, 2023

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