All Questions ⁺⁰237690 Questions

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175

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words

A cylinder has a height of 13 feet and a radius of 8 feet. What is its volume? Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Guest Feb 28, 2023

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159

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help

A spherical tank has a radius of 6 yards. It is filled with a liquid that costs $7.15 per cubic yard. What is the total value of the liquid in the tank? Use 3.14 for π . Enter your answer in the box to the nearest cent.

Guest Feb 28, 2023

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158

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Counting

Help plz with this

There are 97 students in South High School. South High School offers only Chinese and Spanish. There are more students in Chinese than in Spanish, and every student takes at least one language. If students read more ..

Guest Feb 28, 2023

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202

2

2x^2= sqrt(2)x =?

Guest Feb 28, 2023

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206

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logarithams

if log46 = p how would I express log312 in terms of p?

Im not really sure how to do this, I tried log33+log34 but I dont think thats the right way to do it, thanks.

Guest Feb 28, 2023

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173

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Proof that 26 is the only integer that is between a square and a cube?

I'm just wondering I thought about it or a while and is there a Euclidean proof?

Guest Feb 28, 2023

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214

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Counting

Joanna has six beads that she wants to assemble into a bracelet. Three of the beads have the same color (like red), and the other three have the same color (ike blue). How many different ways can Joanna assemble her bracelet? (Two bracelets are considered read more ..

Guest Feb 28, 2023

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191

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Evaluate. Find cos 2a if (4sin a-cos a)/(2sin a +cos a) = 3

Evaluate. Find cos 2a if (4sin a-cos a)/(2sin a +cos a) = 3

Guest Feb 28, 2023

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155

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ixl

A decagon has angles that measure 170°, 140°, 130°, 145°, 140°, 145°, 150°, 150°, 130°, and x. What is x?

Guest Feb 28, 2023

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199

2

whats the square root of 67553

whats the square root of 67553

Guest Feb 28, 2023

Feb 27, 2023

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191

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Inequality

Prove that if a, b, and c are positive real numbers, then
sqrt(a^2 + ab + b^2) + sqrt(a^2 + ac + c^2) + sqrt(b^2 + bc + c^2) >= sqrt(3) (sqrt(ab) + sqrt(ac) + sqrt(bc))
When does equality occur?

Guest Feb 27, 2023

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169

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Geometry

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 Feb 27, 2023

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169

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In a heptagon, the degree measures of the interior angles are and degrees. What is the degree measure of the largest interior angle?

In a heptagon, the degree measures of the interior angles are and degrees. What is the degree measure of the most significant internal angle?

Guest Feb 27, 2023

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192

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frustum

How many cubic feet of earth must be removed in digging an artificial lake 15 ft. deep, if the level bottom is a rectangle 180 ft. by 20 ft. and the top is a rectangle 202 ft. by 25 ft.?

Guest Feb 27, 2023

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171

0

y*\frac{5}{6}>5

y*\frac{5}{6}>5

Guest Feb 27, 2023

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198

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Counting Question

Find the constant term in

Guest Feb 27, 2023

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151

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Inequality

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 Feb 27, 2023

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164

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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 Feb 27, 2023

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168

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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 Feb 27, 2023

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164

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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 Feb 27, 2023

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162

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Geometry

Plz help with geometry problem

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. read more ..

Guest Feb 27, 2023

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177

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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 Feb 27, 2023

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172

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Please help

The legs AB and CD of a trapezoid are 5 and 8. O is the point of intersection of the trapezoid's diagonals. Find the ratio of areas of triangles AOB and COD.

Guest Feb 27, 2023

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