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3 years ago

The volume of a cylinder is 252π252π cm3 and its height is 7 cm.

1 answer:

8 0

V = (pi) * r^2 * h
h = 7
V = 252(pi)

252(pi) = r^2 * 7
252(pi) / 7 = r^2
36(pi) = r^2
sqrt 36(pi) = r
6 = r <==== radius is 6 cm

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6-√8 divide √2-1

agasfer [191]

Answer:

4 $\sqrt{2}$ +2

Step-by-step explanation:

$\frac{6-\sqrt{8}}{\sqrt{2}-1}$

= $\frac{6-\sqrt{8}}{\sqrt{2}-1}$ × $\frac{\sqrt{2}+1}{\sqrt{2}+1}$

= $\frac{(6-\sqrt{8})(\sqrt{2}+1)}{2-1}$

=6 $\sqrt{2}$ + 6 - $\sqrt{8}\sqrt{2}$ - $\sqrt{8}$

=6 $\sqrt{2}$ + 6 - 4 - $\sqrt{8}$

=6 $\sqrt{2}$ + 2 - $\sqrt{8}$

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

=4 $\sqrt{2}$ +2

for $\sqrt{8}$ = 2 $\sqrt{2}$ ,

$\sqrt{8}$ = $\sqrt{2*2*2}$

= ( $\sqrt{2}$ )^2 × $\sqrt{2}$

=2 × $\sqrt{2}$

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3 years ago

Tammy takes a taxi home from the airport. The fare is $2.10 per mile, and she gives the driver a tip of $5. Tammy pays a total o

DIA [1.3K]

Answer:

21 Miles. Hope your enjoying Middle School!

Step-by-step explanation:

3 0

2 years ago

A piece of wood is cut into 3 pieces in the ratio 5:4:3 if the length of the shortest piece is 2 how long is the wood

Bad White [126]

Answer:

Step-by-step explanation:

5:4:3 = x:y:2

4:3 = y:2 Cross multiply

3y = 8 Divide by 3

y = 8/3 = 2.66'

5/x = 3/2

3x = 10 Divide by 3

x = 10/3

x = 3.33

Length of the wood = 2.66 + 3.33 + 2

Length of the wood = 8 feet

8 0

3 years ago

Solve 15x + 2 = 47 (what is the value of the variable “x?”) *

Dima020 [189]

Answer:

x = 3

Step-by-step explanation:

$15x + 2 = 47 \\ 15x = 47 - 2 \\ 15x = 45 \\ x = \frac{45}{15} \\ x = 3$

7 0

3 years ago

Read 2 more answers

The polynomial -x^3-x^2+12x represents the volume of a rectangular aqautic tank in cubic feet. the length of the tank is (x+4).

Verizon [17]

Answer:

<h2>a. It should look for 3 linear factors.</h2><h2>b. There are 3 dimensions.</h2><h2>c. x = 1.7</h2><h2>d. Maximum value is 12.597</h2>

Step-by-step explanation:

$-x^{3} - x^{2} + 12 \timesx$ = $-x^{3} - 4 \timesx^{2} + 3 \timesx^{2} +12 \timesx$ = $-(x + 4) \timesx^{2} + 3 \timesx \times(x + 4)$ = $(x + 4) \timesx \times (x + 3)$

Hence the factorized form of the volume of the poly is $(x + 4) \timesx \times (x + 3)$

3 linear factors should needed to be look for.

The 3 dimensions are (x + 4), x, (x + 3).

Let, f(x) = $-x^{3} - x^{2} + 12 \timesx$

Now, $\frac{d f(x)}{dx}$ = $-3 \timesx^{2} -2 \timesx + 12$

Let $f1(x)$ = $-3 \timesx^{2} -2 \timesx + 12$ and $f2(x)$ = $\frac{d f1(x)}{dx}$ = $-3 \timesx -2$

The value will be maximum, if f1(x) = 0 and f2(x) < 0.

$f1(x) = 0$ \\ $3 \timesx^{2} + 2 \timesx -12 = 0$ \\ $x = \frac{- 2 + \sqrt{2^{2} + 4 \times3 \times12} }{2 \times3} , \frac{- 2 - \sqrt{2^{2} + 4 \times3 \times12} }{2 \times3}$

x = 1.69 ≅ 1.7 or x = -2.36 ≅ -2.4

Now f2(1.7) < 0.

At x = 1.7, the volume will be maximum.

The maximum value is f(1.7) = 12.597(approximately)

8 0

3 years ago