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Gnom [1K]
3 years ago
6

Simplify the complex fraction

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0
Pl see the attachment
the final answer is (y+z)/(y-z)
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3 years ago
Read the following paragraph and select the correct answer.
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4 years ago
Find the lateral area and surface area of a cone with a radius of 12 and a height of 21
marishachu [46]

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

<u>For Lateral Surface Area</u>

<h3><u>Formula</u><u>:</u> </h3>

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

<u>For</u><u> </u><u>Total</u><u> Surface Area</u>

<h3><u>Formula:</u></h3>

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The <u>Lateral Surface Area</u> is 911.32 square unit and <u>T</u><u>otal Surface Area</u> is 1361.7 square unit.

<u>-TheUnknownScientist</u>

6 0
3 years ago
Read 2 more answers
The average thickness of books on a library shelf is 8.3 centimeters. The standard deviation is 0.6 centimeter. If 20% of the bo
jeka57 [31]

Answer:

8.8 cm

Step-by-step explanation:

-We know that the top 20% of the books are oversized.

-We therefore find the z-value of the top 20%:

z_{0.1}=8.4

#We substitute the z value in formula to solve X.

z=\frac{\bar  X-\mu}{\sigma}

Where

  • X is the minimum thickness of the book.

-Given \sigma=0.6 \ , \mu=8.3, the minimum thickness,X can be calculated as follows:

z=\frac{\bar  X-\mu}{\sigma}\\\\0.84=\frac{\bar X-8.3}{0.6}\\\\\bar X=0.84\times 0.6+8.3\\\\=8.804\approx 8.8\ cm

Hence, the minimum thickness of the oversized books is 8.8 cm

3 0
4 years ago
The ratio of lime juice to soy sauce in a salad dressing is 7:6. The total of both ingredients is 39 tablespoons. How many table
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21 of lime juice and 18 of soy sauce
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