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k0ka [10]
3 years ago
6

Find the radical equivalent of 272/3 and compute it?

Mathematics
2 answers:
postnew [5]3 years ago
4 0
From my research, the question is actually looking for the radical equivalent of 27^(2/3). Let us solve this below:

27^(2/3) = [cube root (27)]^2 = 3^2 = 9

Therefore, the final answer to the expression is 9.
frez [133]3 years ago
4 0

Answer: The radical equivalent of 27^{\frac{2}{3}}\\ is 9.

Step-by-step explanation:

Since we have given that

27^{\frac{2}{3}}\\

We need to find the radical equivalent.

so, we will use the "Exponential law":

(a^m)^{\frac{1}{n}}=a^{\frac{m}{n}}

so, it becomes,

27^\frac{2}{3}\\\\=(3^3)^\frac{2}{3}\\\\=(3^\frac{3}{3})^2\\\\=3^2\\\\=9

Hence, The radical equivalent of 27^{\frac{2}{3}}\\ is 9.

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A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0
3 years ago
Help once more please
REY [17]

Answer:

84

Step-by-step explanation:

they are all equal sides so what you'd do is 28+28+28= 84

5 0
3 years ago
Read 2 more answers
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Dvinal [7]
So hmmm check the picture below

in an isosceles triangle, two sides are equal, and thus the angles those twin legs make, are also twin angles

let's say the angle made is "a", so all internal angles will be 64 + a + a = 180
or 64 + 2a = 180

thus 2a = 180 - 64 => 2a = 116, thus a = 116/2

7 0
3 years ago
3. An aspirin tablet weights 0.5 grams. How many ounces does it weigh?
maksim [4K]
3. An aspirin weighs 0.018 ounces.
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4. An aspirin is 500 milligrams.
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7 0
3 years ago
If f(x) = –3x – 5 and g(x) = 4x – 2, find (f – g)(x).
Vikki [24]

Answer:

(f-g)(x)=-7x-3

Step-by-step explanation:

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3 years ago
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