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eduard
3 years ago
6

Can three go into 5 in division

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
6 0

Yes and it would be 0.6

m_a_m_a [10]3 years ago
4 0
Yes but it would result in a decimal.
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i f N(-7,-1) is a point on the terminal side of ∅ in standard form, find the exact values of the trigonometric functions of ∅.
Natali [406]

Answer:

sin\ \varnothing = \frac{-1}{10}\sqrt 2

cos\ \varnothing = \frac{-7}{10}\sqrt 2

tan\ \varnothing = \frac{1}{7}

cot\ \varnothing = 7

sec\ \varnothing = \frac{-5}{7}\sqrt 2

csc\ \varnothing = -5\sqrt 2

Step-by-step explanation:

Given

N = (-7,-1) --- terminal side of \varnothing

Required

Determine the values of trigonometric functions of \varnothing.

For \varnothing, the trigonometry ratios are:

sin\ \varnothing = \frac{y}{r}       cos\ \varnothing = \frac{x}{r}       tan\ \varnothing = \frac{y}{x}

cot\ \varnothing = \frac{x}{y}       sec\ \varnothing = \frac{r}{x}       csc\ \varnothing = \frac{r}{y}

Where:

r^2 = x^2 + y^2

r = \sqrt{x^2 + y^2

In N = (-7,-1)

x = -7 and y = -1

So:

r = \sqrt{(-7)^2 + (-1)^2

r = \sqrt{50

r = \sqrt{25 * 2

r = \sqrt{25} * \sqrt 2

r = 5 * \sqrt 2

r = 5 \sqrt 2

<u>Solving the trigonometry functions</u>

sin\ \varnothing = \frac{y}{r}

sin\ \varnothing = \frac{-1}{5\sqrt 2}

Rationalize:

sin\ \varnothing = \frac{-1}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}

sin\ \varnothing = \frac{-\sqrt 2}{5*2}

sin\ \varnothing = \frac{-\sqrt 2}{10}

sin\ \varnothing = \frac{-1}{10}\sqrt 2

cos\ \varnothing = \frac{x}{r}

cos\ \varnothing = \frac{-7}{5\sqrt 2}

Rationalize

cos\ \varnothing = \frac{-7}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}

cos\ \varnothing = \frac{-7*\sqrt 2}{5*2}

cos\ \varnothing = \frac{-7\sqrt 2}{10}

cos\ \varnothing = \frac{-7}{10}\sqrt 2

tan\ \varnothing = \frac{y}{x}

tan\ \varnothing = \frac{-1}{-7}

tan\ \varnothing = \frac{1}{7}

cot\ \varnothing = \frac{x}{y}

cot\ \varnothing = \frac{-7}{-1}

cot\ \varnothing = 7

sec\ \varnothing = \frac{r}{x}

sec\ \varnothing = \frac{5\sqrt 2}{-7}

sec\ \varnothing = \frac{-5}{7}\sqrt 2

csc\ \varnothing = \frac{r}{y}

csc\ \varnothing = \frac{5\sqrt 2}{-1}

csc\ \varnothing = -5\sqrt 2

3 0
3 years ago
Convert 39°C to degrees Fahrenheit.
posledela

Given a temperature C in celsius, you can convert it to Fahrenheit by using the formula

F=32 + \dfrac{9C}{5}

In your case C=39, so you have

F = 32 + \dfrac{9\cdot 39}{5} = 32+70.2=102.2

6 0
3 years ago
PLEASE HELP ME WITH THIS! ASAP!!!!!!!
marusya05 [52]

Hold on i believe its C but let me go look on google and i'll get back to you to sure

3 0
3 years ago
Merrill is playing a simple game of dice. For every 6 rolled, Merrill will win $5. For any other number, he must pay $2. How muc
Schach [20]

Solution -

The probability of getting 6 from a single roll of a fair dice = \frac{1}{6}

The probability of getting any other number rather than 6 would be 1-\frac{1}{6} = \frac{5}{6}

So when the outcome is 6, then he wins $5 ,otherwise he has to pay $2

So

E(X) = Expectation value = (\frac{1}{6} )(5) - (\frac{5}{6} )(2)                                    ( ∵ $5 gain so +ve and $2 loss so -ve)

=\frac{-5}{6}

∴ So Merrill will lose \frac{5}{6} dollar


7 0
3 years ago
Read 2 more answers
Write the standard equation for each circle:<br> Center at (-1,6) with radius 1/3
Sunny_sXe [5.5K]
The answer is:
(X-(-1))^2 + (Y-(6))^2 = (1/3)^2

this can be simplified into the following
(X+1)^2 + (Y-6)^2 = 1/9
7 0
3 years ago
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