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Oliga [24]
3 years ago
6

1 divided by root6 - root11 + root5. urgent

Mathematics
1 answer:
vodomira [7]3 years ago
3 0
1/√6      -  √11        + √5

LCM = √6

(1 - (√6)*(√11) + (√5)*(√6) ) / √6


(1 - √(6*11)   + √(5*6) )/ √6


Rationalize the surd by multiplying top and bottom by  √6

((1 - √(6*11)   + √(5*6) )/ √6)    * (√6/√6)


(√6 -  √(6*6*11) + √(5*6*6)) /  √6

(√6 -  6√(11) + 6√(5)) /  6

So answer is:

(√6 -  6√11 + 6√5) / 6
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A sphere has a volume of 288 Pi in^3. Find the surface area of the sphere
lorasvet [3.4K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a sphere is expressed as

Volume = (4/3) × πr³

The volume of the given sphere is expressed as 288π inches³. It means that

(4/3) × πr³ = 288π

4r³/3 = 288

4r³ = 3 × 288 = 864

r³ = 864/4 = 216

Taking cube root of both sides, it becomes

r = 6

The formula for determining the surface area of a sphere is expressed as

Area = 4πr²

π = 3.14

Therefore,

Surface area = 4 × 3.14 × 6² = 452.16 inches²

7 0
3 years ago
27^{3x}=(1/9)^x<br> write in b^x=b^y form
iogann1982 [59]

Answer:

3^9x=3^-2x

Step-by-step explanation:

27^3x=(1/9)^x

3^3×3x=(1/3^2)^x

3^9x=3^-2x

5 0
3 years ago
What is - 15 +6f = 5
Keith_Richards [23]

Answer:

f = 10/3

Step-by-step explanation:

-15 + 6f = 5

-15 + 15 + 6f = 5 + 15

6f = 20

6f/6 = 20/6

f = 20/6 = 10/3 = 3.333...

8 0
3 years ago
Read 2 more answers
1. Find the area of the composite figure to the nearest hundredth.
Leto [7]

Answer:

#1: 751.56 mm²

#2: 477 km²

Step-by-step explanation:

First I noted the semicircle on the left, which has a radius of 12.5 mm. The formula for finding the area of a semicircle is 1/2(πr²).

1/2(3.14 * (12.5)²)

<em>12.5 squared is 156.25.</em>

1/2(3.14 * 156.25)

<em>Multiply 3.14 by 156.25 to get 490.625.</em>

1/2(490.625)

<em>Divide 490.625 by 2 to get 245.3125.</em>

245.3125 mm² for the semicircle

Then, I split the rest of into a 12.5 by 25 rectangle and a 31 by 12.5 triangle.

(12.5 * 25) + 1/2(31 * 12.5)

<em>Multiply 12.5 by 25 to get 312.5.</em>

312.5 + 1/2(31 * 12.5)

<em>Multiply 31 by 12.5 to get 387.5.</em>

312.5 + 1/2(387.5)

<em>Multiply 1/2 by 387.5 to get 193.75</em>

312.5 + 193.75

<em>Add 312.5 and 193.75 to get 506.25.</em>

506.25 mm² for the rest of the figure.

Now add the two measures, and you have your answer for #1.

245.3125 + 506.25 = 751.5625 mm², which rounds to 751.56 mm².

The area of the composite figure is 751.56 mm².

Now for #2. First, find the area of the triangle.

1/2(40 * 27)

<em>Multiply 40 by 27 to get 1080.</em>

1/2(1080)

<em>Multiply 1/2 by 1080.</em>

590 km² for the triangle.

Now find the area of the circle.

3.14 * 6²

3.14 * 36

113.04 km² for the circle.

Now subtract the area of the circle from the area of the triangle.

590 - 113.04

476.96 km², which rounds to 477.0 km².

The area of the shaded region is 477 km².

6 0
3 years ago
Read 2 more answers
Whats the area of this?
Pie
Here’s how I solved to find the area. Hope this is helpful

6 0
3 years ago
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