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3 years ago

The diameter and height of this cylinder are equal to the side length,S,of the cube in which the cylinder is imscribed. What is

the expression for the cylinder's volume?

Mathematics

1 answer:

max2010maxim [7]3 years ago

3 0

$V=B\times H$
$V=\pi r^{2}h$
$V=\pi (\frac{d}{2})^{2}h$
$V=\pi (\frac{s}{2})^{2}s$
$V=\pi (\frac{s^{2}}{4})s$
$V=\frac{\pi s^{3}}{4}$

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Natali5045456 [20]

You can find the unknown side length by using pythagorean theorem. a²+b²=c²
Simply plug-in numbers into the formula. Your answer is 80.

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3 years ago

A triangle has side lengths of 36 in, 27in, and 61 in. Classify it as acute, obtuse, or right.

Lady_Fox [76]

When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:1) Square all 3 sides.36, 27, 61 1,296, 729, 3,721 2) Sum the squares of the 2 shortest sides.1,296 + 729 = 2,025

3) Compare this sum to the square of the 3rd side.2,025 < 3,721
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3 years ago

Una pared rectangular tiene un perímetro de 48 metros. El largo de la pared es el doble del ancho. ¿Cuántos metros cuadrados de

AveGali [126]

Datos:
Perímetro = 48m
Ancho = x
Largo = 2x
Área = (2x)(x)

Ecuación:
2x + 4x = 48
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x = 48/6
x = 8

Sustitución:
Área = [2(8)](8)
Área = (16)(8)
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Respuesta: Se necesitarán 128 metros cuadrados de papel decorativo

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2 years ago

: In a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket du

scoundrel [369]

Answer:

The point estimate for p is 0.86.

Step-by-step explanation:

We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).

Let p = proportion of all women shoppers who remain loyal to their favorite supermarket

Now, the point estimate for the population proportion (p) is represented by ;

Point estimate for p = $\hat p$ = $\frac{X}{n}$

where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628

n = sample of women shoppers = 730

So, point estimate for p ( $\hat p$ ) = $\frac{X}{n}$

= $\frac{628}{730}$ = 0.86

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3 years ago

Mike put sports books on 1/3 of his bookshelf. He put history books on 1/4 of the bookshelf . What fraction of the bookshelf did

Shkiper50 [21]

Answer:

66.67% or 2/3

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He put 1/3 of his sports books on the shelf. Ignore the 1/4 and focus on how much space the sports books are not taking up which would be 1-1/3=2/3 or 66.67%.

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3 years ago