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1 year ago

Explain why there are two sine ratios, two cosine ratios, and two tangent ratios for any right triangle

Mathematics

2 answers:

Elis [28]1 year ago

6 0

Answer with explanation:

There are two sine ratios, two cosine ratios, and two tangent ratios for any right triangle. It totally depends where the terminal side of right triangle lies. If it lies in first quadrant all trigonometric ratios will be positive .In second quadrant Sine and Cosecant of any angle will be positive.In Third tan and cot of any angle will be positive.And in fourth Quadrant secant and cos of any angle will be positive.So, there is one positive and one negative value of any of the trigonometric function.That's why all the trigonometric function have two real values.

taurus [48]1 year ago

5 0

Each angle has a sin, cos, and tan associated with it.
in a right angled triangle there are two other angles which each have ratios.

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Your tutor asks you to record the time you spend using IT during the week. You have recorded this time below: Day Time Monday 0.

NikAS [45]

Let us convert all figures into decimals so that we can compare them easily.

Monday 0.3

Tuesday 15% = 0.15

Wednesday 1/6 = 0.1666

Thursday 0.2

Friday 1/8 = 0.125

Clearly, I spent the least amount of time on Friday using IT and the time is 0.125 or 1/8.

7 0

2 years ago

A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

erastovalidia [21]

Answer:

The average yearly salary of the architect is $62,000 and the lawyer is $100,000.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of an architect and a lawyer.

Let the average yearly salary of an architect be $x.$

So, the average yearly salary of the lawyer = $2x-24,000.$

Combined, architect and lawyer earn = $\$210,000.$

Now, to get the average salary of the architect and lawyer:

$x+(2x-24000)=210000$

$x+2x-24000=210000\\\\3x-24000=210000$

Adding both sides 24000 we get:

$3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.$

The average salary of architect = $62,000.

Now, to get the average salary of lawyer by substituting the value of $x$ :

$2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.$

The average salary of lawyer = $100,000.

Therefore, the average yearly salary of the architect is $62,000 and the lawyer is $100,000.

4 0

2 years ago

A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 cen

attashe74 [19]

We know that

[volume of cylinder]=pi*r²*h------------> h=[volume of cylinder]/(pi*r²)
Volume=5652 cm³
r=7.5 cm
so
h=[5652]/(3.14*7.5²)-----------> h=32 cm

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is
h=[4239]/(3.14*7.5²)-----------> h=24 cm

hence

the difference is 32-24--------> 8 cm

the answer is
8 cm

3 0

2 years ago

Read 2 more answers

In a camp there is food for 400 persons for 23 days-if 60 more persons join the camp find the number of days the provision will

Deffense [45]

The answer is 20 days.

After 60 people have joined there will be 460 people in the camp.

The number of days which the provisions will last will be proportional less after the 60 people have joined and will be:-

(400/460) * 23

= (20 / 23) * 23

= 20

3 0

2 years ago

What is the 185th digit in the following pattern 12345678910111213141516

Delicious77 [7]

Answer:

The 185th digit following that pattern of '12345678910111213141516' would be the number '5'

Step-by-step explanation:

The reason the 185th digit is '5' is because the pattern increases it's standard number by the following number (ex, 1,2,3,4,5, etc), and eventually it reached 185 as one of it's numbers, '5' would be the digit because the '18' part of 185 would only be the 184th digit, hence you are needed to include the '5' to complete the sequence of that number to reach the 185th digit.

5 0

2 years ago