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salantis [7]
2 years ago
9

Which property is being used here? 5.2345 x 1 = 5.2345

Mathematics
1 answer:
IgorC [24]2 years ago
4 0

Answer:

The identity property

Step-by-step explanation:

.......

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The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original
evablogger [386]

<em>Here</em> as the <em>Pentagon</em> is <em>regular</em> so it's <em>all sides</em> will be of <em>equal length</em> . And if we assume It's each side be<em> </em><em><u>s</u></em> , then it's perimeter is going to be <em>(s+s+s+s+s) = </em><em><u>5s</u></em>.And as here , each <em>side</em> is increased by <em>8 inches</em> and then it's perimeter is <em>65 inches</em> , so we got that it's side after increament is<em> (s+8) inches</em> and original length is <em>s inches </em>. And if it's each side is <em>(s+8) inches</em> , so it's perimeter will be <em>5(s+8)</em> and as it's equal to <em>65 inches</em> . So , <em><u>5(s+8) = 65</u></em>

{:\implies \quad \sf 5(s+8)=65}

{:\implies \quad \sf 5s+5\times 8=65}

{:\implies \quad \sf 5s+40=65}

{:\implies \quad \sf 5s=65-40}

{:\implies \quad \sf 5s=25}

{:\implies \quad \sf s=\dfrac{25}{5}=5}

{:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}

As we assumed the original side to be <em><u>s</u></em> .

<em>Hence, the original side's length 5 inches </em>

8 0
2 years ago
Theres 30 kilograms of 10% apple juice. How many kilograms of apples does it need to increase the current apple juice to 25%​?
raketka [301]

The mass of the apple juice needed to increase the initial concentration to 25% is 45 kg

The given parameters;

  • <em>Mass of the apple juice, m = 30 kg</em>
  • <em>current percentage, = 10%</em>
  • <em>final percent after increment = 25%</em>

Let the mass added to increase the percentage to 30% = x

10% ----------------- 30 kg

25% ------------------ ?

= \frac{25 \times 30}{10} \\\\= 75 \ kg

The additional mass is calculated as;

x+ 30 = 75\\\\x = 75 - 30\\\\x = 45 \ kg

Thus, the mass of the apple juice needed to increase the initial concentration to 25% is 45 kg.

Learn more about percentage and ratio here: brainly.com/question/11752721

6 0
2 years ago
The area of a square is 72.25 inches squared. Find the length of the side and the perimeter.
Nadya [2.5K]

Answer:

8.5 inches and 34 inches

Step-by-step explanation:

Area of the square = 72.25

side² = 72.25

side = \sqrt{72.25}

Side = 8.5 in

Perimeter = 4 × side

Perimeter = 4 × 8.5 in

Perimeter = 34 in

6 0
3 years ago
Joe gets paid $40 per hour. how much would he earn if he worked for 45 minutes
anzhelika [568]
He would earn $30 for 45 minutes. 
Example: 
60min=$40/hr
1min =$40/$60/hr
45min=$40/$60*45
$30 for 45min
6 0
3 years ago
Edward wrote a pattern starting at 0 and following the rule "add 2." . Juan wrote a pattern starting at 0 and following the rule
julsineya [31]

Answer:

where are the patternes that are supposed to be shown?

Step-by-step explanation:

it says : Which pair of patterns below represents that of Edward and Juan?

but there are no patterns shown

4 0
3 years ago
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