All Questions ⁺⁰237689 Questions

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154

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Polygon

Let B, A, and D be three consecutive vertices of a regular -gon. A regular heptagon is constructed on AB with a vertex C next to A Find angle BCD in degrees.

Guest Mar 7, 2023

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155

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Solve a system of equations using any method: word problems

Ernest is going to ship some gifts to family members, and he is considering two shipping companies. The first shipping company charges a fee of $14 to ship a medium box, plus an additional $6 per kilogram. A second shipping company charges $15 for the same read more ..

Guest Mar 7, 2023

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176

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Geometry

In tetrahedron ABCO, angle AOB = angle AOC = angle BOC = 90^\circ. A cube is inscribed in the tetrahedron so that one of its vertices is at O, and the opposite vertex lies on face ABC. Let OA = 1, OB = 1, OC = 1. Show that the read more ..

Guest Mar 7, 2023

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148

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Geometry

In triangle PQR, let M be the midpoint of QR, let N be the midpoint of PR, and let O be the intersection of QN and RM, as shown. If QN perp PR, QN = 12, and PR = 14, then find the area of triangle PQR.

Guest Mar 7, 2023

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175

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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 ?

Guest Mar 7, 2023

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152

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Geometry

Let ABC be a right triangle, and let H be the point on side AB so that CH is perpendicular to AB. Prove that (x + h)^2*(y + h)^2 = (a + b)^4.

Guest Mar 7, 2023

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149

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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 7, 2023

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Probability

In the SuperLottery, three balls are drawn (at random, without replacement) from white balls numbered from 1 to 12, and one SuperBall is drawn (at random) from red balls numbered from 13 to 20. When you buy a ticket, you choose three numbers from 1 to 12, read more ..

Guest Mar 7, 2023

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+132

Precalc Help Please!!

If I am given a right triangle with legs 12 and 5, and a hypotenuse of 13, how to I find the complex number of e^(i*theta) in standard form a+bi? Theta represents the larger acute angle in this triangle. I don't understand because when I did tan^-1(12/5) read more ..

Saphia1123 Mar 7, 2023

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177

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Counting

Help how to solve using combination

I run a book club with n people, not including myself. Every day, for 100 days, I invite members in the club to review a book. What is the smallest positive integer n so that I can avoid ever having read more ..

Guest Mar 7, 2023

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184

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Functions

The functions f and h are defined as follows:
f(x) = (x + 5)/(x - 7) and h(x) = (x + 5)(x - 7).

Explain why the functions f and h are not the same function. read more ..

Guest Mar 7, 2023

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+660

Pls Help! Reposting this one bc the answers were wrong and confusing!

https://web2.0calc.com/questions/pls-help-with-percents

Keihaku Mar 7, 2023

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187

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Counting

Find the number of positive integers that satisfy the following conditions:
* Each digit is a 1 or a 2 or a 3
* The sum of the digits is 5

Guest Mar 7, 2023

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176

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Expected value

I need help with these

Suppose we have a bag with 10 slips of paper in it. Eight slips have a 3 on them and the other two have a 5 on them.
(a) What is the expected value of the number shown when we draw a single slip of paper?
(b) read more ..

Guest Mar 7, 2023

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175

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Geometry

I need help plz

Let AB be a diameter of a circle, and let C be a point on the circle such that AC=8 and BC=4 The angle bisector of ACB intersects the circle at point M Find CM.

Guest Mar 7, 2023

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180

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Counting

(a) Find the number of ways that Magnus can give out 20 identical stickers to 5 of his friends. (Not everyone has to get a sticker.)

(b) Find the number of ways that Magnus can give out 20 identical stickers to 5 of read more ..

Guest Mar 7, 2023

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175

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Probability

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 7, 2023

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157

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Algebra

Let a, b, and c be nonnegative real numbers. Prove that for all x >= 0,
(x + abc)^3 >= abc(x + a)(x + b)(x + c) >= (x + a + b + c)^3.

Guest Mar 7, 2023

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196

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Polynomial

Find a polynomial f(x) of degree 5 such that both of these properties hold:
* f(x) is divisible by x^3
* f(x) + 1 is divisible by (x + 1)(x + 2)(x + 3)
read more ..

Guest Mar 7, 2023

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