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andreev551 [17]

3 years ago

15

How to solve this...

20" id="TexFormula1" title=" \frac{5}{9} + \frac{4}{8} = " alt=" \frac{5}{9} + \frac{4}{8} = " align="absmiddle" class="latex-formula">

1 answer:

Monica [59]3 years ago

4 0

19

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18

or

1.0555555556

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melisa1 [442]

Answer:

$sin O=\dfrac{3\sqrt{13}}{13}\\cos O=\dfrac{2\sqrt{13}}{13}\\tan O=\dfrac{3}{2}$

Step-by-step explanation:

If the point (2,3) is on the terminal side of an angle in standard position.

Adjacent of O, x=2,

Opposite of O, y=3

Next, we determine the hypotenuse, r using Pythagoras Theorem.

$Hypotenuse =\sqrt{Opposite^2+Adjacent^2} \\r=\sqrt{3^2+2^2} \\r=\sqrt{13}$

Therefore:

$sin O=\dfrac{Opposite}{Hypotenuse} \\sin O=\dfrac{3}{\sqrt{13}} \\$Rationalizing\\sin O=\dfrac{3\sqrt{13}}{13}$

$cos O=\dfrac{Adjacent}{Hypotenuse} \\cos O=\dfrac{2}{\sqrt{13}} \\$Rationalizing\\cos O=\dfrac{2\sqrt{13}}{13}$

$Tan O=\dfrac{Opposite}{Adjacent} \\tan O=\dfrac{3}{2}$

4 0

3 years ago

If you only have a

cestrela7 [59]

Hi! I'm happy to help!

To solve this problem, we need to divide the recipe amount in 1/6 amounts. So, we will do a fraction division problem like this:

15 $\frac{1}{6}$ ÷ $\frac{1}{6}$

This problem is hard to do with mixed numbers, so we need to turn 15 $\frac{1}{6}$ into an improper fraction. To do that we need to multiply 15 by 6, because that is our denominator, then add the extra $\frac{1}{6}$ .

(15×6)+1

90+1

91

So, our improper fraction would be $\frac{91}{6}$ , now, let's solve.

$\frac{91}{6}$ ÷ $\frac{1}{6}$

It is difficult to do division problems on their own, so we can change this into an easier problem. We can do the inverse operation and turn this into multiplication. We do this by changing it to multiplication (obviously), then flip the second fraction.

$\frac{91}{6}$ × $\frac{6}{1}$

Now, we just multiply the top by the top, and bottom by the bottom.

$\frac{546}{6}$

We could end it here, but we want a whole number, so, we simplify the number by dividing both the top and bottom by 6.

$\frac{91}{1}$

Anything over 1, is just a whole number

91.

<u>Therefore, the recipe should require 91 uses of the 1/6 cup.</u>

I hope this was helpful, keep learning! :D

3 0

3 years ago

A rectangular flowerbed at a city park has an area of 126 square meters. The width of the flowerbed is 3 meters. What is the per

iris [78.8K]

The answer is 90.
the perimeter is 90<span />

3 0

3 years ago

Read 2 more answers

Let p: x < −3

Serhud [2]

Answer:

B. x > 3 or x < −3

Step-by-step explanation:

We are given that,

p: x < −3

q: x > 3

Since, we know that,

The symbol v is known as 'disjunction', which is in other words represented by 'union', 'or'.

Thus, 'p ∨ q' means 'either p holds or q holds'.

Hence, we get,

'p ∨ q' is represented by 'either x <-3 or x > 3'.

i.e. 'p ∨ q' is represented by 'either x > 3 or x <-3'.

Thus, option B is correct.

8 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (4, -8) and has a<br> slope of - ?

ioda

Answer:

Bella for this to be a complete question you have to have , either two points or be given the slope of the line. Other wise there is not enough info to solve it. :/

Step-by-step explanation:

8 0

3 years ago