3 years ago

Choose the correct simplification of the expression (a^2/ b^3)^4.

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

(a^2)^4 = a^8, and (b^3)^4 = b^12. Thus, the quotient is

a^8
--------
b^12

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Geometry help, will mark brainliest

andreyandreev [35.5K]

Answer:

265.1 units²

Step-by-step explanation:

Area of circle:

3.14 × 12²

452.16

Side of the triangle:

s² = 12² + 12² - 2(12)(12)cos(120)

s² = 432

s = 12sqrt(3)

Area of triangle:

½ × s × s × sin(60)

½ × 432 × sqrt(3)/2

187.0614872

Shaded area:

452.16 - 187.0614872

265.0985128 units²

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2 years ago

What is the decimal multiplier to decrease by 3.9%?<br><br> Answer: 0.961

luda_lava [24]

Answer:

Answer is right!

Step-by-step explanation:

Have a nice day!

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2 years ago

Find m∠USW if m∠USW = 7x - 34 and m∠TSR = 4x + 9.

nikitadnepr [17]

In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .

First we have to find the relationship between those two angles .

And these angles are vertical opposite angles which are congruent .

Therefore

$m \angle USW = m \angle TSR$

$7x-34 = 4x+9
\\
3x = 43
\\
x = 14.33$

Therefore measurement of angle USW is

$=7(14.33)-34 =66.31 degree$

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2 years ago

A nurse sees 25 patients in 5 hours. At this rate, approximately how many patients will the nurse be able to see in an 8-hour pe

AleksandrR [38]

Answer:

40 patients

Step-by-step explanation:

Divide 25 by 5 to get 5 patients per hour (the rate).

Since there are 8 hours, multiply 8 by 5 to get 40 patients in 8 hours.

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3 years ago

A circular garden has a circumference of 113 yards. Lars is digging a straight line along a diameter of the garden at a rate of

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Answer:

Step-by-step explanation:

Circumference = $2\pi r = \pi d$ , where r is radius, and d is diameter

d=113/3.14=35.987, which is approximately 36

At 12 yards per hour, it will take 36/12=3 hours

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3 years ago