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pogonyaev
3 years ago
15

Simplify

4]{ {5}^{4} } " alt=" \sqrt[4]{ {5}^{4} } " align="absmiddle" class="latex-formula">
4
5
25
625​
Mathematics
2 answers:
UkoKoshka [18]3 years ago
6 0

Answer:

5

Step-by-step explanation:

lukranit [14]3 years ago
5 0

Answer:

5

Step-by-step explanation:

\sqrt[4]{ {5}^{4} } \\   =  ({5}^{4})^{ \frac{1}{4} }   \\  =  {5}^{ \frac{4}{4} }  \\  = 5

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What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?
Rasek [7]

Answer:

105.84\ cm^2

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

A=\pi r^{2}

we have

r=21.2/2=10.6\ cm ----> the radius is half the diameter

substitute

A=\pi (10.6)^{2}

A=112.36\pi\ cm^2

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of a sector with a central angle of 108 degrees

\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2

assume

\pi=3.14

substitute

33.708(3.14)=105.84\ cm^2

7 0
3 years ago
Write the slope-intercept form of the equation of the line.<br>​
Vilka [71]

Answer:

I guess its 2/2.

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Factor the following polynomial:<br> 5x(a - b) – 2y(a - b)
Afina-wow [57]

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

5x(a - b) – 2y(a - b) =

The factors in parentheses (shown in bold) are a common factor.

Factor (a - b) out from both terms.

= (a - b)(5x - 2y)

5 0
3 years ago
A diagonal of a cube measures
Gennadij [26K]

Answer: 7cm

Step-by-step explanation:

Use pythagorean theorum:

Variables:

Let the edge = A

Face diagonal (F) = 10cm

Inner diagonal (I) = sqrt(150) cm

A^2 = I^2 - F^2

A^2 = [sqrt(150)]^2 - 10^2

A^2 = 150 - 100

A^2 = 50

A = sqrt(50)

A = 7.0710678 cm

A = 7cm (to the nearest tenth)

so, length of an edge = 7cm

4 0
2 years ago
A rectangle is dilated by a factor of 1/5. The area of the new rectangle is 4 square yards . What could be the dismension of the
katrin [286]
 20 square yards is the answer
4 0
4 years ago
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