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8_murik_8 [283]
3 years ago
13

19/10 rational or irrational ?

Mathematics
1 answer:
yarga [219]3 years ago
3 0

Definition of a rational number:

A rational number is a number that can be written as fraction of integers.


19/10 is a fraction.

19 and 10 are integers.

19/10 follows exactly the definition of a rational number, so it is rational.

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Corey flying a kite with 105 meters of string.His string makes an angle of 42 degrees with the level ground. How high is the kit
mafiozo [28]

<u>Given</u>:

Given that Corey is flying a kite with 105 meters of string.

The string makes an angle of 42° with the ground level.

We need to determine the height of the kite.

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

The height of the kite can be determined using the trigonometric ratio.

Thus, we have;

 sin \ \theta=\frac{opp}{hyp}

From the given data, the values are  \theta=42^{\circ}, opp = h (height of the kite) and hyp = 105 meters.

Substituting the values, we get;

sin \ 42=\frac{h}{105}

Multiplying both sides of the equation by 105, we get;

sin \ 42 \times 105=h

0.669 \times 105=h

        70.245=h

Rounding off to the nearest meter, we get;

h=70

Thus, the height of the kite is 70 meters.

8 0
3 years ago
Help me plz help me I need your help it’s an emergency I need your help I’m begging you so much
Sever21 [200]

Answer:

A, D

Step-by-step explanation:

Put x = 6 in equations and resultant is 12.

3 0
2 years ago
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1. ) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.
arlik [135]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Use the triangle below to find cos V.
Semenov [28]

Answer:

cos\ V = \frac{2\sqrt{29}}{29}

Step-by-step explanation:

Given

The attached triangle

Required

Find cos V

In trigonometry:

cos\theta = \frac{Adjacent}{Hypotenuse}

In this case:

cos V= \frac{TV}{UV}

Where

TV = 6

and

UV^2 = TV^2 + TU^2 -- Pythagoras

UV^2 = 6^2 + 15^2

UV^2 = 261

Take square roots

UV = \sqrt{261

UV = \sqrt{9*29

UV = \sqrt{9} *\sqrt{29

UV = 3\sqrt{29

So:

cos V= \frac{TV}{UV}

cos\ V = \frac{6}{3\sqrt{29}}

cos\ V = \frac{2}{\sqrt{29}}

Rationalize:

cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}

cos\ V = \frac{2\sqrt{29}}{29}

8 0
2 years ago
An object has a volume of 7cm³ and a mass of 56g. What is its density in g/cm³?
Nastasia [14]

Answer:8

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5 0
3 years ago
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