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katovenus [111]

4 years ago

11

Calcular el volumen de un cono con altura de 15cm y una base cuyo radio es de 3cm

1 answer:

Ganezh [65]4 years ago

6 0

Answer:

v= 141.37

Step-by-step explanation:

π · 3^2 · 15/ 3

=141.37167

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What is the solution set of - |x |= -8?<br> O {8}<br> O {-8)<br> O {-8, 8}<br> O no solution

torisob [31]

The answer is C (3rd answer choice) O {-8,8}.

5 0

4 years ago

Help i’m begging plsss

olga_2 [115]

Answer:

$x=8$

Step-by-step explanation:

Given

$AB||CD$

$\angle ABC = 5x + 50$

$\angle BCD = 7x + 34$

Required

Find x

If $AB||CD$ i.e. If AB is parallel to CD, then

$\angle ABC = \angle BCD$

Substitute values for ABC and BCD

$5x + 50 = 7x + 34$

Collect Like Terms

$5x - 7x = -50 + 34$

$-2x = -16$

Multiply through by $-\frac{1}{2}$

$-\frac{1}{2} * -2x = -16 * -\frac{1}{2}$

$\frac{1}{2} * 2x = 16 * \frac{1}{2}$

$\frac{2x}{2} = \frac{16}{2}$

$x = \frac{16}{2}$

$x=8$

3 0

3 years ago

A level maths factor theorem <br>help in part (b) please

Rina8888 [55]

Given polynomial $f(x)=4 x^{3}-12 x^{2}+2 x-6$ .

(a) To show that (x – 3) is a factor of f(x).

Factor theorem:

<em>A polynomial f(x) has a factor of (x – a), if and only if f(a) = 0.</em>

$f(x)=4 x^{3}-12 x^{2}+2 x-6$

$f(3)=4 (3)^{3}-12 (3)^{2}+2 (3)-6$

$=4(27)-12(9)+6-6$

$=108-108$

= 0

f(3) = 0

Hence (x – 3) is a factor of f(x).

(b) $f(x)=0$

$4 x^{3}-12 x^{2}+2 x-6=0$

Here $4x^2$ is common in first 2 terms and 2 is common in next 2 terms.

$4x^2(x-3 )+2 (x-3)=0$

Now, (x – 3) is common in both terms.

$(x-3)(4x^2+2)=0$

$(x-3)=0$ and $(4x^2+2)=0$

x = 3 and $4x^2+2=0$

3 is the real root.

using quadratic formula solve $4x^2+2=0$ and find the other roots.

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$$x=\frac{-0 \pm \sqrt{0^{2}-4 (4) (2)}}{2 (4)}$

$$x=\pm\frac{\sqrt{-32}}{8}$

$$x=\pm\frac{4\sqrt{2}i}{8}$

$$x=\pm\frac{\sqrt{2}i}{2}$

These are complex roots.

Hence 3 is the only real root of the equation f(x) = 0.

8 0

4 years ago

Read 2 more answers

Y = 4(x - 2)(x + 6)<br> what is this factored out

lutik1710 [3]

Y=4x^2+16x-48

Start with factoring (x-2)(x+6) using distribution
Then multiply it by 4

4 0

3 years ago

A bill originally amounting Rs 1550, now amounts to Rs 1736 after adding VAT. Find the VAT rate.kaabil original amounting

Vlad [161]

Answer: 12%

Step-by-step explanation:

Original amount = Rs 1550

VAT = Rs 1736 - Rs 1550 = Rs 186

VAT rate = VAT/Original amount × 100

= 186/1550 × 100

= 18600/1550

= 12%

Therefore, the VAT rate is 12%.

Check:

= Rs 1550 + (12% × Rs 1550)

= Rs 1550 + $186

= Rs 1736

4 0

3 years ago