Lilliam0216

95 Questions
12 Answers

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HALP PLZ

In rectangle $WXYZ$, $A$ is on side $\overline{WX}$, $B$ is on side $\overline{YZ}$, and $C$ is on side $\overline{XY}$. If $AX = 2$, $BY = 16$, $\angle ACB = 90^\circ$, and $CY = 2 \cdot CX$, then find $AB$.

Lilliam0216 Jan 11, 2025

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Help plz.

Points $A$ and $B$ are on side $\overline{YZ}$ of rectangle $WXYZ$ such that $\overline{WA}$ and $\overline{WB}$ trisect $\angle ZWX$. If $BY = 2$ and $AZ = 4$, then what is the area of rectangle $WXYZ$?

Lilliam0216 Jan 11, 2025

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Math help

Consider the set of all fractions of the form $\frac{2^m}{3^n},$ where $m$ and $n$ are integers such that $0 \le m \le n.$ For example, 1/9 and 8/27 would be included in this set, but not 32/81. What is the sum of all the numbers in this set?
<read more ..

Lilliam0216 Sep 9, 2024

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money

Chuck deposits 2000 into a bank account that compounds quarterly at an annual interest rate of 3% Assuming there are no other transactions, what will the balance be after 5 years, in dollars?
where ? are differe read more ..

Lilliam0216 Aug 16, 2024

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Math

Imagine the Earth is a perfectly round sphere, and that you tie a string around the center of the Earth along the equator. The string lies on top of the ground and the oceans. (But since the Earth is a perfect sphere, there are no mountains, etc.) You then read more ..

Lilliam0216 Aug 12, 2024

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Compute Last Three Digits of Repetend for 1/977

Compute Last Three Digits of Repetend for 1/977

Lilliam0216 Aug 11, 2024

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Compute

Compute

Answer should be a square root

Lilliam0216 Aug 8, 2024

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When $N$ is divided by $10$, the remainder is $a$. When $N$ is divided by $17$, the remainder is $b$. What is $N$ modulo $170$, in terms of

When is divided by 10, the remainder is . When is divided by 17, the remainder is . What is modulo 170, in terms of and ? (Your answer should be in the form , where and are replaced by nonnegative integers less than 170.)<read more ..

Lilliam0216 Aug 3, 2024

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Physics

In the previous problem, we imagined a bathtub draining. Water would leave the tub with a speed of $2.9 \;\mathrm{m/s}$ when the tub is full. Suppose the cross sectional area of the drain is $8.0 \;\mathrm{cm}^2.$ You may assume that all water leaving read more ..

Lilliam0216 Aug 2, 2024

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When the bathtub is full, water leaves the bath tub at $2.9 \;\mathrm{m/s}$ through the drain. At what speed does water leave the bathtub w

When the bathtub is full, water leaves the bath tub at $2.9 \;\mathrm{m/s}$ through the drain. At what speed does water leave the bathtub when it is half full?

Lilliam0216 Aug 2, 2024

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Find the number of solutions to in the interval

Find the number of solutions to
in the interval

Lilliam0216 Jul 31, 2024

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Modulo help

Find all integers $n$, $0 \le n < 163$, such that $n$ is its own inverse modulo $163.$

Lilliam0216 Jul 28, 2024

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Let m and n be non-negative integers. If m=6n+2, then what integer between 0 and m is the inverse of 3 modulo m? Answer in terms of n.

Let m and n be non-negative integers. If m=6n+2, then what integer between 0 and m is the inverse of 3 modulo m? Answer in terms of n.

Lilliam0216 Jul 27, 2024