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3 years ago

The product of a rational number and an integer is not an integer. True or false?

Mathematics

1 answer:

labwork [276]3 years ago

3 0

False
An example of the product of a rational number and an integer that is an integer.
1/2 × 8= 4

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Using addition formula solve tan 15

salantis [7]

Answer:

2 - $\sqrt{3}$

Step-by-step explanation:

Using the addition formula for tangent

tan(A - B) = $\frac{tanA-tanB}{1+tanAtanB}$ and the exact values

tan45° = 1 , tan60° = $\sqrt{3}$ , then

tan15° = tan(60 - 45)°

tan(60 - 45)°

= $\frac{tan60-tan45}{1+tan60tan45}$

= $\frac{\sqrt{3}-1 }{1+\sqrt{3} }$

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 1 + $\sqrt{3}$ is 1 - $\sqrt{3}$

= $\frac{(\sqrt{3}-1)(1-\sqrt{3}) }{(1+\sqrt{3})(1-\sqrt{3}) }$ ← expand numerator/denominator using FOIL

= $\frac{\sqrt{3}-3-1+\sqrt{3} }{1-3}$

= $\frac{-4+2\sqrt{3} }{-2}$

= $\frac{-4}{-2}$ + $\frac{2\sqrt{3} }{-2}$

= 2 - $\sqrt{3}$

3 0

3 years ago

How to solve this question? Please help me

Maurinko [17]

Answer:

≈ 82 feet

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to calculate distance (d)

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Here the hypotenuse is the distance (d) between the 2 poles, hence

d² = 80² + 45² = 6400 + 2025 = 8425 ( take the square root of both sides )

d = $\sqrt{8425}$ ≈ 82 feet ( to the nearest foot )

8 0

3 years ago

Which graph is that one of the inequality shown below?

Sloan [31]

Answer:

Step-by-step explanation:

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NARA [144]

Answer:48

Step-by-step explanation:

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2 years ago

In the equation x + y = 8, find the value of x if y = 3 3 5 7 11

snow_lady [41]

Answer:

Step-by-step explanation:

x+y=8 y=3

x+3=8

-3 -3

x=11

7 0

3 years ago

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