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3 years ago

Simplify square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses.

Mathematics

2 answers:

ahrayia [7]3 years ago

8 0

√5(8 + 3√6)
√5(8) + √5(3√6)
8√5 + 3√30

The answer is A.

PolarNik [594]3 years ago

5 0

Answer:

The answer is 8 square root of 5 end root plus 3 square root of 30

i.e $8\sqrt{5}+3\sqrt{30}$

Step-by-step explanation:

Given the statement square root of 5 open parentheses 8 plus 3 square root of 6 close parenthesis i.e

$\sqrt{5}(8+3\sqrt{6})$

Now by distributive property

$8\sqrt{5}+3\sqrt{5} \sqrt{6}$

implies $8\sqrt{5}+3\sqrt{30}$

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Let f be a function such that f "(x) = 6x + 8.

Korolek [52]

F''(x) = 6x + 8
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∫f'(x) = f(x) = x^3 + 4x^2 + c1x + c2

At point (0, -2),
c2 = -2

3x - y = 2
y = 3x - 3

f'(0) = 3
c1 = 3

Therefore, the required function is
f(x) = x^3 + 4x^2 + 3x - 2

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3 years ago

The volume of a cylinder is 30 pie cubic units. A cone shares the same base. The height of the cone is twice the height of the c

bija089 [108]

<u>Given</u>:

The volume of a cylinder is $30 \pi$ cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

<u>Height of the Cone:</u>

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

$H=2h$

<u>Volume of the cylinder:</u>

The formula to determine the volume of the cylinder is

$V=\pi r^2 h$

Since, volume of the cylinder is $30 \pi$ , we get;

$30 \pi = \pi r^2 h$ -------(1)

<u>Volume of the cone:</u>

The formula to determine the volume of the cone is

$V=\frac{1}{3} \pi r^2 H$

Substituting $H=2h$ , we get;

$V=\frac{1}{3} \pi r^2 (2h)$

$V=\frac{2}{3} \pi r^2 h$

Substituting equation (1), we get;

$V=\frac{2}{3} (30 \pi)$

$V=20 \pi$

Thus, the volume of the cone is 20π

Hence, Option C is the correct answer.

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3 years ago

What is the sum of the arithmetic series: s10 = -20, d = 4, a1 =?

Otrada [13]

<h2>Step-by-step explanation:</h2><h3> $\green\star$ Given</h3>

$\blue\star$ s10 = -20

$\blue\star$ n = 10

$\blue\star$ an = -20

$\green\star$ solution

$\green\star$ s10 = n\2 [a+(n-1)d]

$\green\star$ -20 = 10a2[a+(10-1)4]

$\green\star$ -4 = a +36

$\green\star$ a1 = -40

$\small\boxed{a = -40}$

Hope it helps.

Hope it helps

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3 years ago

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Ravi will take the 6:37 PM train to San Diego. The train is estimated to arrive in San Diego in 3 hours 45 minutes. What is the

Ahat [919]

So 6+3 is 9 right? So let's just say it's 9:37 with a 45 min ride. 60 minutes are in a hour. 60 - 37 = 23. We have 23 minutes left until 10:00. 45- 23 = 22. Therefore it'd be 10:22 p.m.

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3 years ago

If apples cost $1.08 per pound, how much would 3.8 pounds cost?

DENIUS [597]

Answer:

4.10

Step-by-step explanation:

1.08 * 3.8 = 4.104

but money is 2dp so...

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2 years ago