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vfiekz [6]
4 years ago
9

Which of the following is the radical expression of a5/7

Mathematics
1 answer:
ioda4 years ago
6 0

Answer:

The seventh root of a^5

Step-by-step explanation:

a^{5/7}

is equal to

\sqrt[7]{a^5}

because

b^{1/m} = \sqrt[m]{b}

hope this makes sense and helps

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The circumference of Circle K is $\pi$ . The circumference of Circle L is $4\pi$ . Two circles, one labeled "Circle K" and the o
timurjin [86]

Answer:

Step-by-step explanation:

Given the circumference of Circle K = π

circumference of Circle L = 4π

Ratio of their circumferences = Ck/Cl

Ratio of their circumferences = π/4π

Ratio of their circumferences = 1/4 = 1:4

For their radii

C = 2πr

for circle k with circumference π

π = 2πrk

1 = 2rk

rk = 1/2

for circle l with circumference 4π

4π = 2πr

4 = 2r

r = 4/2

rl = 2

ratio

rk/rl = 1/2/2

rk/rl = 1/4 = 1:4

for the areas

Area of a circle = πr²

for circle k

Ak = π(1/2)²

Ak = π(1/4)

Ak = π/4

for circle l

Al = π(2)²

Al = 4π

Ratio of their areas

Ak/Al = π/4/(4π)

Ak/Al = π/16π

Ak/Al = 1/16 = 1:16

3 0
3 years ago
A pole is used to support an observation platform. The top of the pole is secured by two guy wires, one 18 and the other 21 feet
Harman [31]
Let A be the point on the ground to with the 18 foot guy is anchored and D the point on the ground to with the 21 foot guy is anchored.

We can conclude that the <span>the two wires at the points where they are anchored are 21 feet apart. Check the procedures in the picture attached.</span>

5 0
3 years ago
What is the inverse of the function shown( in the form of a graph)
NemiM [27]

Answer:

y =  - 1x + b

Step-by-step explanation:

The inverse of a slope is the exact opposite slope of the original. I'll show a function below where you can easily solve future problems if you need to.

-  \frac{1}{m} x

m is the slope, so for the equation above, you simply insert the original slope, being 1, in the equation.

-  \frac{1}{1} x \\  - 1x

So the inverse slope would be -1.

6 0
3 years ago
On the exam, Rebecca successfully created 20 out of 25 vases.
juin [17]

\text{Hello there! :]}

\large\boxed{125 \text { vases}}

\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25}  = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}

7 0
3 years ago
Read 2 more answers
One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883. According to barom
liraira [26]

Answer:

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I = 10\log(\frac{I_2}{I_1})

and the relation between intensity and distance is given as:

I ∝ \frac{1}{d^2}

or

Id² = constant

thus,

I₁d₁² = I₂d₂²

or

\frac{I_2}{I_1}=\frac{d_1}{d_2}

therefore,

I = 10\log(\frac{d_1}{d_2})^2

or

I = 10\times2\times\log(\frac{161}{4,800})

or

I = 20 × (-1.474)

or

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

8 0
3 years ago
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