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4 years ago

Find the volume. Thanks!!!

Mathematics

1 answer:

pshichka [43]4 years ago

5 0

Answer:

Step-by-step explanation:

slant height is given. Using Pythagorean theorem to find height.

h² = 10² - 5²

= 100 - 25

h² = 75

h = √75

h = 8.66 cm

Volume =(1/3)πr²h

$=\frac{1}{3}*3.14*5*5*8.66\\\\=\frac{679.83}{3}\\\\$

= 226.62 cubic cm

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How many 7-letter permutations are possible for the letters S, T, U, D, Y, H, A, R, D?

tiny-mole [99]

Answer:

as many as there is possible

6 0

3 years ago

israel started to solve a radical equation in this way: square root of x plus 6 − 4 = x square root of x plus 6 − 4 4 = x 4 squa

agasfer [191]

Lets solve our radical equation $\sqrt{x+6}-4=x$ step by step.

Step 1 add 4 to both sides of the equation:

$\sqrt{x+6} -4+4=x +4$

$\sqrt{x} +6=x+4$

Step 2 square both sides of the equation:

$\sqrt{x+6} =x+4$

$\sqrt{x+6}^2 =(x+4)^2$

$x+6=(x+4)^2$

Step 3 expand the binomial in the right hand side:

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Step 4 simplify the expression:

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$x^2+7x+10=0$

Step 5 factor the expression:

$(x+2)(x+5)=0$

Step 6 solve for each factor:

$x+2=0$ or $x+5=0$

$x=-2$ or $x=-5$

Now we are going to check both solutions in the original equation to prove if they are valid:

For $x=-2$

$\sqrt{x+6}-4=x$

$\sqrt{-2+6}-4=-2$

$\sqrt{4}-4=-2$

$2-4=-2$

$-2=-2$

The solution $x=2$ is a valid solution of the rational equation $\sqrt{x+6}-4=x$ .

For $x=-5$

$\sqrt{x+6}-4=x$

$\sqrt{-5+6}-4=-5$

$\sqrt{1}-4=-5$

$1-4=-5$

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Since -3 is not equal to -5, the solution $x=-5$ is not a valid solution of the rational equation $\sqrt{x+6}-4=x$ ; therefore, $x=-5$ is an extraneous solution of the equation.

We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.

An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.

8 0

3 years ago

3 3/8 and 6 2/5and 3 7/8 4 5/8 how many pies the student so altogether

miv72 [106K]

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8 0

4 years ago

An equation for the depreciation of a car is given by y = A(1-r)^twhere y = current value of the car, A = original cost, r = rat

NemiM [27]

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Step-by-step explanation:

Hi, to answer this question we have to replace the values in the equation given:

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Replacing:

y = A(1-r)^t

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4 years ago

Can someone please solve number 6 for me it’s urgent

erica [24]

Answer:

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Step-by-step explanation:

Given:

__ × (-5x) = 1

Find:

Value of blank

Computation:

Assume;

Blank = y

So,

y × (-5x) = 1

y = 1 / (-5x)

Value of blank = 1 / (-5x)

7 0

3 years ago