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Olin [163]
3 years ago
12

A painting with dimensions 10 inches by 14 inches is placed in a picture frame (of constant width), increasing its area to 221 s

quare inches. How many inches is the width of the picture frame?
Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

1.5 inches

Step-by-step explanation:

(10+2x)(14+2x) = 221

4x² + 48x - 81 = 0

4x² + 54x - 6x - 81 = 0

2x(2x + 27) - 3(2x + 27) = 0

(2x + 27)(2x - 3) = 0

x = -27/2, 3/2

x = 3/2 or 1½ or 1.5 inches

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Answer:

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Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

\displaystyle A _{ \text{trapezoid}} =  \frac{a + b}{2} h

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

\displaystyle A _{ \text{trapezoid}} =  \frac{5 + 15}{2} \times  7

simplify addition:

\displaystyle A _{ \text{trapezoid}} =  \frac{20}{2} \times  7

simplify division:

\displaystyle A _{ \text{trapezoid}} =  10\times  7

simplify multiplication:

\displaystyle A _{ \text{trapezoid}} =  70

since we multiply two same units we of course have to use square unit

hence,

\displaystyle A _{ \text{trapezoid}} =  70 {m}^{2}

4 0
2 years ago
A plot of 1/no2 versus time is linear. using this information, identify the factor by which the rate will increase in model (c)
WITCHER [35]
This is hard in mathematical language, but there is only this way to present it. Let us denote by A the consentration of the substance and by A' its rate.
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3 years ago
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Yanka [14]

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Step-by-step explanation:

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sasho [114]

Answer:

A

Step-by-step explanation:

6 0
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vovangra [49]

Answer:

y = -1/4x+2

Step-by-step explanation:

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