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3 years ago

Find all solutions of sqrt(3)tan(3x) = 0

Mathematics

1 answer:

Olenka [21]3 years ago

6 0

Answer:

x= nπ/3

Step-by-step explanation:

We are given that: $\sqrt{3}*tan(3x) = 0$

Divide both sides by $\sqrt{3}$

=> $\frac{\sqrt{3}*tan(3x)}{\sqrt{3}} = \frac{0}{\sqrt{3}}$

=> tan(3x) = 0

we know that arctan(0) = nπ

Therefore,

3x = nπ

x= nπ/3 (where n belongs to positive and negative integers)

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Use the quadratic formula to solve x2 + 2x - 120 = 0. Think about what other method could also be used to solve this equation. a

pshichka [43]

Answer:

x = 10 , -12

Step-by-step explanation:

Solution:-

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$x^2 + 2x - 120 = 0$

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- Solve using quadratic formula:

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7 0

3 years ago

The diagram shows a rectangle. 5cm 1cm four of these rectangles are put together as shown, calculate the shaded area

GarryVolchara [31]

Answer:

15 cm²

Step-by-step explanation:

5 + 1 + 1 = 7

7 × 5 = 35

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3 years ago

Read 2 more answers

Find the approximate volume. Round to the hundredth when necessary.

Alika [10]

Answer:

Step-by-step explanation:

1: Base Surface Area = π×72

= 153.9380400259 millimeters2

Lateral Surface Area = π×7×√72 + 142

= 344.215921821 millimeters2

Total Surface Area = 498.1539618469 millimeters2

Rounded = 500 millimeters2

2:Base Surface Area = π×52

= 78.539816339745 centimeters2

Lateral Surface Area = π×5×√52 + 102

= 175.62036827602 centimeters2

Total Surface Area = 254.16018461576 centimeters2

Rounded 300 centimeters2

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3 years ago