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10 months ago

The density of lead is 11.4g/cm^3 at 25 degrees C. Calculate the volume occupied by 25.0g of lead

Mathematics

1 answer:

ElenaW [278]10 months ago

6 0

Answer:

2.193 cm³

Step-by-step explanation:

density is mass divided by volume:

$density = \frac{mass}{volume}$

you can manipulate the formula by multiplying with volume:

$density \times volume = mass$

then dividing by density:

$volume = \frac{mass}{density}$

in this case:

$volume = \frac{25g}{11.4 \frac{g}{cm} } = 2.193 { \: cm}^{3}$

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natulia [17]

Answer:

Step-by-step explanation:

The probability of getting a 6 is 1/6.

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We roll a die 4 times and want 2 sixes, and 2 not sixes.

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We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this

(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157

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2 years ago

SOLVE THIS PROBLEM ASAP

zepelin [54]

Answer:

Step-by-step explanation:

Use the exponent rule

Simplifying the top of the fraction

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2 years ago

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Help please this is for my homework that is due to tomorrow!!

Murljashka [212]

The given polygons are similar

Step-by-step explanation:

By observing the given diagrams, we can see that the respective angles are congruent.

Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.

For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar

So,

The scale factor is:

$\frac{EF}{AB} = \frac{3}{1} = 3\\\\\frac{FG}{BC} = \frac{9}{3} = 3\\\\\frac{GH}{CD} = \frac{15}{5} = 3\\\\\frac{EH}{AD} = \frac{21}{7} = 3$

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Keywords: Polygons, similarity

Learn more about polygons at:

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2 years ago

Estimate the area of Alberta in square miles. Show your reasoning

ella [17]

Answer: About $278,250\ mi^2$

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid can be calcualted with the formula:

$A_t=\frac{h}{2}(B+b)$

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

$A_r=lw$

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

$A=\frac{h}{2}(B+b)+lw$

Substituting vallues, you get:

$A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2$

Therefore, the area of of Alberta is about $278,250\ mi^2$ .

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2 years ago

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liberstina [14]

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