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Vaselesa [24]
3 years ago
7

What is the cubic root of 81 without a calculator? And how do you get it? Please explain

Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

3\sqrt[3]{3}

Step-by-step explanation:

First, notice that 81 is divisible by 3.

81/3 = 27

27 is also divisible by 3.

27/3 = 9

9 = 3 * 3

81 = 3 * 3 * 3 * 3

81 = 3^3 * 3

\sqrt[3]{81} = \sqrt[3]{3^3 \times 3} = 3\sqrt[3]{3}

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A wheel assembly is
Basile [38]

Answer:

The total weight of the assembly is 7 pounds.

Step-by-step explanation:

The total weight of the assembry is found by the sum of the weights of each components.

We have:

2 wheels, each weighing 2.6 pounds, so 2*2.6 = 5.2 pounds

An axle, which weighs 1.8 pounds, so 5.2+1.8 = 7 pounds

The total weight of the assembly is 7 pounds.

5 0
3 years ago
A 15% tip on a dinner bill is $2.55.<br> How much is the bill?
Bogdan [553]
The answer is 15% of $2.55=$0.3825=$0.38 off
Step by step: Take 15% and divide 15% by $2.55 This will give you the amount of money that is going to be added onto the bill. When you divide it and get your answer just add the answer to your original bill.
4 0
2 years ago
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Which expression is equivalent to
irina [24]

Answer:

The answer is q12

3 0
3 years ago
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How do you express sin x + cos x in terms of sine only?
frez [133]

Answer:

\sin x + \sqrt{1-\sin^2x}

Step-by-step explanation:

Given: sin x + cos x

To change the given trigonometry expression in term of sine only.

Trigonometry identity:-

  • \sin^2x+\cos^2x=1
  • \cos x=\sqrt{1-\sin^2x}

Expression: \sin x+\cos x

We get rid of cos x from expression and write as sine form.

Expression: \sin x + \sqrt{1-\sin^2x}        \because \cos x=\sqrt{1-\sin^2x}

Hence, The final expression is only sine function.

4 0
4 years ago
Quadratic equation whose vertex is (2,3) and y intercept is 11
never [62]

Answer:

y = 2(x - 2)² + 3      vertex form

y = 2x² - 8x + 11     standard form

Step-by-step explanation:

Vertex form

y = a(x - h)² + k

(h, k) = (2, 3)

y = a(x - 2)² + 3

To find "a" plug in the y-intercept (0, 11)

11 = a(-2)² + 3

11 = 4a + 3

Subtract 3 from both sides

8 = 4a

a = 2

y = 2(x - 2)² + 3

Expand

y = 2(x² - 4x + 4) + 3

y = 2x² - 8x + 11

5 0
3 years ago
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