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2 years ago

9

Three machines are used to produce nails. the table displays the total number of nails produced by the three machines over diffe

rent lengths of time

1 answer:

mamaluj [8]2 years ago

6 0

Answer:

Step-by-step explanation

they answer would be a whole number because you are multiplying by one thousand

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Answer:

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2 years ago

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What is the number two hundred seven thousand, four hundred sixty written in standard form?

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Answer:

207,460

Step-by-step explanation:

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2 years ago

Given: PRST is a square

xxTIMURxx [149]

Answer:

$(1-\sqrt{2})a^2$

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

$PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a$

Thus,

$MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a$

Consider isosceles triangle MSC. In this triangle

$MS=MC=(\sqrt{2}-1)a.$

The area of this triangle is

$A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}$

Consider right triangle PTS. The area of this triangle is

$A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}$

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

$A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2$

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2 years ago

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3 years ago

A room in the shape of a rectangular prism measures 15 feet by x feet by 12 feet. Write a simplified expression for the volume (

zloy xaker [14]

180x feet^3

this is the answer because volume is lwh so 15 x 12 x x is 180x the labeled is 180x ft.^3

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