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3 years ago

The quotient of 48 and x

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

5 0

Answer: Quotient means when you divided a number by another number.

Our first number will be 48 and also in this problem lets have that second "number" be x.

So 48/x is the quotient.

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2/5 + a/2 = 4/5 + 2a

marin [14]

Answer:

a= -4/15

Step-by-step explanation:

Step one: 4+5a=8+20a

Step two: 5a-20a=8-4

Step three: -15a=4 then divide both sides by 15 to get your answer :)

6 0

3 years ago

What coordinates on the unit circle are associated with the angle measure?

Varvara68 [4.7K]

The tangent of the given angles are the ratios <em>y</em> to the <em>x</em> coordinate of

the point of the terminal side on the unit circle.

The correct options are;

$\dfrac{34 \cdot \pi}{3} \Longleftrightarrow \underline{ \left(-\dfrac{1}{2}, \ -\dfrac{\sqrt{3} }{2} \right)}$

$-\dfrac{7 \cdot \pi}{4} \Longleftrightarrow \underline{ \left(\dfrac{\sqrt{2} }{2}, \ \dfrac{\sqrt{2} }{2} \right)}$

$210^{\circ} \Longleftrightarrow \underline{ \left(-\dfrac{\sqrt{3} }{2}, \ -\dfrac{1}{2} \right)}$

<h3>How to find the points on the unit circle</h3>

The tangent of an angle is given as follows;

$tan (\theta) = \mathbf{ \dfrac{Opposite}{Adjacent}} = \dfrac{\Delta y}{\Delta x}$

First angle

An angle given is; $\mathbf{\dfrac{34 \cdot \pi}{3}}$

Therefore;

$tan \left(\dfrac{34 \cdot \pi }{3} \right) = \mathbf{ \sqrt{3}}$

The above result can be obtained as follows;

$\sqrt{3} = \mathbf{ \dfrac{-\dfrac{\sqrt{3} }{2} }{-\dfrac{1}{2} }}$

Which is obtained when we have;

$\left( \Delta x, \, \Delta y\right) = \mathbf{\left(-\dfrac{1}{2}, \, -\dfrac{\sqrt{3} }{2} \right)}$

Therefore

The required coordinates is therefore;

$\dfrac{34 \cdot \pi}{3} \Longleftrightarrow \left(-\dfrac{1}{2} , \ -\dfrac{\sqrt{3} }{2} \right)$

Second angle

The angle, $\mathbf{-\dfrac{7 \cdot \pi}{4}}$ , gives; $tan \left(-\dfrac{7 \cdot \pi}{4} \right) = 1$

The above value can be obtained as follows;

$\mathbf{\dfrac{\dfrac{\sqrt{2} }{2} }{\dfrac{\sqrt{2} }{2} }} = 1$

Which gives;

$-\dfrac{7 \cdot \pi}{4} \Longleftrightarrow \left(\dfrac{\sqrt{2} }{2}, \, \dfrac{\sqrt{2} }{2} \right)$

Third angle

The angle 210° gives; tan(210°) = $\mathbf{\frac{1}{\sqrt{3} }}$ , which can be obtained as follows;

$\sqrt{ \dfrac{1}{3} } = \mathbf{\dfrac{-\dfrac{1}{2} }{-\dfrac{\sqrt{3} }{2} }}$

Therefore;

$210^{\circ} \Longleftrightarrow \left(-\dfrac{\sqrt{3} }{2}, \ -\dfrac{1}{2} \right)$

Learn more about the unit circle here:

brainly.com/question/1673530

6 0

2 years ago

Choose the numbers that are irrational

JulijaS [17]

Answer:

square root 2, pi, 1/3 and 2/7

4 0

2 years ago

Read 2 more answers

Mr.Roshan will buy 12 1/2 pounds Beef for a cookout.The price for the first 3 pounds of beef is $4.99 per pound. After that,The

vagabundo [1.1K]

Answer:

$57.63

Step-by-step explanation:

For x > 3, the price in dollars Mr. Roshan will pay for x pounds of beef is ...

cost = 4.99×3 +4.49(x -3) = 3(4.99 -4.49) +4.49x

cost = 1.50 +4.49x

Then for x = 12.5 pounds, the cost is ...

cost = 1.50 +4.49×12.5 = 1.50 +56.13

cost = 57.63

Mr. Roshan will pay $57.63 for 12.5 pounds of beef.

5 0

3 years ago

3gal 3pt=pt<br><br><br>Someone please help

weeeeeb [17]

There are 4 quarts in a gallon and 2 pints in each quart

3 times 8 +3= 27 pints

3 0

3 years ago