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Whitepunk [10]
2 years ago
7

Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,​

Mathematics
1 answer:
qwelly [4]2 years ago
3 0

cos θ = Adjacent/ hypotenuse

cosθ= 5/13

a²+b²= c²

a² + 5² = 13²

a² = 13² - 5²

a² = 144

a=√144

a= 12

<u>a</u> is the opposite = 12

<u>b</u> is the Adjacent = 5

<u>c</u> is the hypotenuse = 13

a) tan θ= opposite/Adjacent

tan θ = 12/5

b) sin θ= opposite/ hypotenuse

sinθ= 12/13

C) sec θ= hypotenuse / Adjacent

sec θ= 13/5

d) cscθ= hypotenuse /opposite

cscθ= 13/12

e) cotθ=Adjacent/ opposite

cotθ= 5/12

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1500 soldiers arrive at a training camp. A few soldiers desert the camp. The drill sergeants divide the remaining soldiers into
iren [92.7K]

Answer:

The number of deserters is 34.

Step-by-step explanation:

We have to calculate the number of desertors in a group of 1500 soldiers.

The sergeant divides in groups of different numbers and count the lefts over.

If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.

If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.

If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.

If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

(1431-3)/11=1428/11=129.82\\\\(1466-3)/11=1463/11=133

As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.

The deserters are 34:

D=1500-1466=34

6 0
3 years ago
A rectangle has a height of 2 + 9 and a width of x2 + 2x.
Dafna1 [17]

Answer: 40

Step-by-step explanation:

8 0
3 years ago
Somebody help me out
Bumek [7]

The number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. 3\pi

To determine which number produces an irrational number when multiplied by 0.4

First and foremost, 0.4 is a rational number.

A rational number is a number that is of the form \frac{p}{q} where p and q are integers and q is not equal to 0.

0.4 can be written as \frac{4}{10} or \frac{2}{5}, hence, it is a rational number.

Now,

Any irrational number when multiplied by a rational number other than zero will also be irrational.

Therefore, we are to determine which of the given options is an irrational number.

  • For option A. 3π

π is an irrational number, therefore 3π is also an irrational number

  • For option B. 0.444...

0.444... can be expressed as 4/9, therefore it is a rational number

  • For option C. \sqrt{9}

\sqrt{9} = 3, which can be expressed as 3/1, therefore it is a rational number

  • For option D. \frac{2}{7}

\frac{2}{7} is a rational number

The only irrational number among the given options is 3π

Hence, the number that produces an irrational number when multiplied by 0.4 is 3π. The correct option is A. 3\pi

Learn more here: brainly.com/question/11763957

8 0
2 years ago
What is two plus 3 divided by 49
ivanzaharov [21]
The answer is 9.8 that is your answer
6 0
3 years ago
Read 2 more answers
Simplify: 3 square root 3 + square root 12
NikAS [45]

Answer:

Step-by-step explanation:

Number Square Root (√)

12           3.464

8 0
3 years ago
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