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disa [49]
3 years ago
7

Zinc has a density of 0.258 lb/in³ (pounds per cubic inch).

Mathematics
2 answers:
Gemiola [76]3 years ago
8 0

Why don’t you round the last answer

Ray Of Light [21]3 years ago
3 0

For this case, we have that by definition:

ρ = \frac {M} {V}

Where:

ro: Density

M: Mass

V: Volume

We find the volume of the pyramid:

V = \frac {1} {3} * l ^ 2 * h

Where:

l ^ 2: Represents the area of the base of the square pyramid

h: Represents the height

So:

V = \frac {1} {3} * (6) ^ 2 * 2.5\\V = \frac {1} {3} * 36 * 2.5\\V = 30 \ in ^ 3

We have to:

M = ρ* V

M = 0.258 \frac {lb} {in ^ 3} * 30 \ in ^ 3\\M = 7.74 \ lb

So, you need 7.74 pounds of zinc

Answer:

7.74 pounds

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Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result
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<u>Complete Question:</u>

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

<u>Correct Answer:</u>

A) (10-x)(12-x)=15

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

<u>Step-by-step explanation:</u>

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

length=10-x\\breadth=12-x

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So the equation will be :

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b. Find the dimensions of the reduced image

Let's solve :  (10-x)(12-x)=15

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⇒ 120-22x+x^2=15

⇒ x^2-22x+105=0

By Quadratic formula :

⇒ x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ x = \frac{22 \pm8 }{2}

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x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ x =7

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