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ella [17]
2 years ago
10

The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm3, find the volume of the

larger cylinder. (Create two proportions, set them equal to each other and solve for x)
Mathematics
1 answer:
Inessa [10]2 years ago
4 0

Answer:

solution given:

similar cylinders ratio 1:3

let the ratio be 1x and 3x respectively:

according to the question:

x/3x=volume of (smaller cylinder/big cylinder)

Volume of big Cylinder=67cm³×3=201cm3

201cm³ is your answer

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Given that tan? Tan^2 0=3/8 what is the value of sec 0?
Ronch [10]

Answer:

1.068.

Step-by-step explanation:

Use the identity

sec^2 O = 1 + tan^2 O

=  1 + (3/8)^2

= 1  9/64

= 73/64

so sec O =  √73/8

= 1 .068.

7 0
3 years ago
Help please, will give lots of points!
Troyanec [42]

Step-by-step explanation:

roots as exponents are fractions

if there is no root number next to the radical sign its assumed that its 1/2

3√2 is 2^(1/3)

√3 is 3^(1/2)

4√3 is 3^(1/4)

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2 years ago
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Elza [17]
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2 years ago
Is the solution of this equation extraneous?
UkoKoshka [18]

Answer:

x = - 3 is extraneous

Step-by-step explanation:

Given

\sqrt{x+7} - 1 = x  ( add 1 to both sides )

\sqrt{x+7} = x + 1 ( square both sides )

x + 7 = (x + 1)² ← distribute right side

x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )

0 = x² + x - 6 ← in standard form

0 = (x + 3)(x - 2) ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 3 : \sqrt{-3+7} - 1 = \sqrt{4} - 1 = 2 - 1 = 1 ≠ - 3

x = 2 : \sqrt{2+7} - 1  = \sqrt{9} - 1 = 3 - 1 = 2

x = 2 is a solution and x = - 3 is extraneous

6 0
3 years ago
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zlopas [31]
The answer would be B, since the other two just have to equal 100.
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3 years ago
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