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2 years ago

Solve for b Pythagorean

Mathematics

1 answer:

Vaselesa [24]2 years ago

7 0

The figure shows a right triangle at each corner with legs 3 and b and hypotenuse 4. The Pythagorean theorem tells you the sum of the squares of the legs is equal to the square of the hypotenuse:

3² + b² = 4² . . . . . . put the numbers into the Pythagorean formula

9 + b² = 16 . . . . . . . evaluate the squares

b² = 16 - 9 = 7 . . . . subtract 9 to isolate the variable

b = √7 . . . . . . . . . . undo the square operation by taking the square root

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attashe74 [19]

Yes it could be one........

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3 years ago

Find the surface area S of the following cylinder.

Tanya [424]

Answer:

384π

Step-by-step explanation:

From the diagram,

Diameter ( d ) = 16

Height ( h ) = 16

To find : Surface area of Cylinder = ?

Radius ( r ) = ?

Formula : -

r = d / 2

r = 16 / 2

r = 8

Formula : -

Surface area of Cylinder = 2πr ( r + h )

= 2π x 8 ( 8 + 16 )

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2 years ago

(ab^2 x -b^4a^3)^2<br><br> What is the answers

Umnica [9.8K]

Answer:

$\left(ab^2x-b^4a^3\right)^2:\quad a^2b^4x^2-2a^4b^6x+a^6b^8$

Step-by-step explanation:

Given the expression

$\left(ab^2\:x\:-b^4a^3\right)^2$

solving the expression

$\left(ab^2\:x\:-b^4a^3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2$

$a=ab^2x,\:\:b=b^4a^3$

so the expression becomes

$=\left(ab^2x\right)^2-2ab^2xb^4a^3+\left(b^4a^3\right)^2$

$=a^2b^4x^2-2a^4b^6x+a^6b^8$

Thus,

$\left(ab^2x-b^4a^3\right)^2:\quad a^2b^4x^2-2a^4b^6x+a^6b^8$

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2 years ago

Which of the following equations is equivalent to the equation 6x-y=1

kondaur [170]

A. 6x-y=1 can go to 6x-y-1=0 and then 6x-1 = y

3 0

3 years ago

Read 2 more answers

Rewrite the expression in the form 6^n 6^-6/6^-5

oee [108]

Answer:

6^-1

Step-by-step explanation:

6^-6 - (-5) = 6^(-6 + 5) = 6^(-1)

A lot of things are going on in this question. Notice how the 5 is handled. It starts off in the denominator as - 5 and when brought to the numerator it becomes -(-5) which makes it + 5.

The answer is then easy. It is 6^(-6 + 5) = 6^-1

You could give the answer as 1/6 but that is not what the question says.

8 0

2 years ago