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SCORPION-xisa [38]
3 years ago
13

Evaluate (-32)^-4/5 . Do not leave any exponents in your answer.

Mathematics
1 answer:
Alexeev081 [22]3 years ago
3 0

Answer:

  • 1/16

Step-by-step explanation:

  • (-32)^-4/5 =
  • (-2^5)^-4/5 =
  • (-2)^-(5*4/5) =
  • (-2)^ -4=
  • 16^-1=
  • 1/16
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The ratio of tickets sold to see the incredible musical wicked to tickets sold to see Cats is 11 to 7 if there were 2700 total t
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Use algebra to set up 2 equations.

Assign c as number of tickets for CATS and w for number of tickets of WICKED

c + w = 2700

c / w = 7 / 11

Then solve for one of them in the first equation

c = 2700 - w

Then put this value for c into the 2nd equation

(2700 - w) / w = 7 / 11

Now cross multiply the numerator by denominator of both numerator and denominator pairs

7w = 11 x (2700 - w)
7w = 29700 - 11w

Now solve for w

7w = 26700 - 11w

Add +11w to both sides

18w = 29700

Now divide by 18 on both sides

w = 1650

Then c is the remainder of that ... 2700 - 1650 = 1050

You can also check because 7 / 11 = 1050 / 1650



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3 years ago
A circle has a central angle measuring startfraction 7 pi over 6 endfraction radians that intersects an arc of length 18 cm. wha
mash [69]

The radius of this circle is (B) 4.9 cm.

<h3>To find the radius of the circle:</h3>

To solve this problem, we need to, first of all, convert the angle from radians to degrees.

data;

  • length of an arc = 18cm
  • angle = 7/6π rads
  • π= 3.14

\frac{7\pi }{6rads} =210^{0}

Length of an Arc:

The formula for the length of an arc is given:

l_{arc} = θ/360 × 2\pi r

Let's substitute the values and solve:

18=\frac{210}{360} *2\pi r\\18=3.663r\\r=\frac{18}{3.663} \\r=4.9cm

From the calculations above, the radius of this circle is 4.9cm.

Therefore, the radius of this circle is (B) 4.9 cm.

Know more about radius here:

brainly.com/question/24375372

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Complete question

A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.

(A) 3.7 cm

(B) 4.9 cm

(C) 14.3 cm

(D) 15.4 cm

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2 years ago
Please answer this correctly
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5 x 3 = 15 + 1 = 16 feet

16 x 8 = 128 feet

128 / 3 = 42 yards 2 feet

Hope this helps!! :)

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4 years ago
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Answer:

about 5.3

Step-by-step explanation:

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