2^2 • 3 • 17 because 204 is not a prime number. Hope this helps.
1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
Learn more about proportional relationship on:
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Answer:
1)
°
2)
°
Step-by-step explanation:
1)
As these two angles are supplementary (They add together to equal 180°) we can setup the equation and solve for x.
![58+x=180\\\\x=180-58\\\\x=122](https://tex.z-dn.net/?f=58%2Bx%3D180%5C%5C%5C%5Cx%3D180-58%5C%5C%5C%5Cx%3D122)
2)
Again, these two angles are supplementary we can setup the equation and solve for x
![29+x=180\\\\x=180-29\\\\x=151](https://tex.z-dn.net/?f=29%2Bx%3D180%5C%5C%5C%5Cx%3D180-29%5C%5C%5C%5Cx%3D151)
<u>Answer-</u>
The largest value that you can get by putting parentheses in different places should be,
![2^{36} =6.87 \times 10^{10}](https://tex.z-dn.net/?f=2%5E%7B36%7D%20%3D6.87%20%5Ctimes%2010%5E%7B10%7D)
<u>Solution-</u>
Among all mathematical operations, power and factorial operation generates enormously big results.
So taking the power of all the remaining expressions,
![2^{(1+3*4+5)}](https://tex.z-dn.net/?f=2%5E%7B%281%2B3%2A4%2B5%29%7D)
After, power and factorial operations, multiplication and addition yield big results.
But, here before doing multiplication, adding 1, 3 and 4, 5 and then multiplying the both results, gives bigger number.
( ∵ 1+(3*4)+5 = 18, but (1+3)*(4+5)= 36 )
So,
![2^{((1+3)*(4+5))}](https://tex.z-dn.net/?f=2%5E%7B%28%281%2B3%29%2A%284%2B5%29%29%7D)
![=2^{(4*9)}](https://tex.z-dn.net/?f=%3D2%5E%7B%284%2A9%29%7D)
![=2^{36}](https://tex.z-dn.net/?f=%3D2%5E%7B36%7D)
Answer:
25 minutes
Step-by-step explanation:
usan started her homework at 1:59 pm. And finished her homework 96 minutes later. Susan had volleyball practice at 4:00 p.M. How much time did Susan have between finisng her homework and the beginning of volleyball practice?
1 hour = 60 minutes
If her assignment took her 96 minutes, converted to hours, then it took her 1 hour 36 minutes
Time she finished her assignment = 1:59 + 1:36 = 3:35 pm
time between when she finished and started practice = 4 : 00 - 3:35 = 25 minutes