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3 years ago

The perimeter of a rectangular painting is 270 cm.

Mathematics

2 answers:

Ainat [17]3 years ago

7 0

The anwser is 53 cm each

kipiarov [429]3 years ago

4 0

Answer:

p/2 _l step 1. 270 ÷2= 135. 135- 82 = 53 width of the painting = 53

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F(x)=9(x-8) find f^-1(x)

mina [271]

Answer:

$f^{-1}$ (x) = $\frac{1}{9}$ x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

$\frac{y}{9}$ = x - 8 ( add 8 to both sides )

$\frac{y}{9}$ + 8 = x

Change y back into terms of x with x = $f^{-1}$ (x) , thus

$f^{-1}$ (x) = $\frac{1}{9}$ x + 8

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3 years ago

zmey [24]

Answer:

Part 1) The inequality that represent this situation is $5(x+7)^{2} \geq1,050$ or $5x^{2}+70x+245 \geq1,050$

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ----> the width of Andrew's tablet

we know that

$L=5W$ ------> equation A

$W=x+7$ ----> equation B

The area of the television is

$A=LW$ -----> equation C

Substitute equation A and equation B in equation C

$A=5(x+7)(x+7)$

$A=5(x+7)^{2}$

$5(x+7)^{2} \geq1,050$

$5(x^{2}+14x+49) \geq1,050$

$5x^{2}+70x+245 \geq1,050$ ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

$5(8+7)^{2} \geq1,050$

$5(15)^{2} \geq1,050$

$1,125 \geq1,050$ -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

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3 years ago

How to find the common denominator of two numbers?

Snowcat [4.5K]

Find the number that both can be divided by i.e. the common denominator of 56/8 is 8 because 56 is divisible by 8 and 8 is also divisible by 8.
so by finding the common denominator and dividing the fraction, the equation would look like this: 7/1

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3 years ago

Convert the following improper fraction to a whole number or a mixed number: 41/6

Anuta_ua [19.1K]

Answer:

6 and 5 over 6

6 5/6

Step-by-step explanation:

it would be a mixed fraction because 6 can't go into 41 evenly

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3 years ago

Read 2 more answers

1/6 + 1/2 equals show steps

Tomtit [17]

1/2=3/6

3/6+1/6=4/6 goodluck

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3 years ago