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3 years ago

Please help me please

Mathematics

2 answers:

Naily [24]3 years ago

5 0

Answer:

4/9 x 3/8 = 1/6

Step-by-step explanation:

Eva8 [605]3 years ago

5 0

0.1666666667

Step-by-step explanation: 0.2

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Find the obtuse angle between the following pair of straight lines.

ioda

Given:

$y=-2$

$y=\sqrt{3}x-1$

To find:

The obtuse angle between the given pair of straight lines.

Solution:

The slope intercept form of a line is

$y=mx+b$ ...(i)

where, m is slope and b is y-intercept.

The given equations are

$y=0x-2$

$y=\sqrt{3}x-1$

On comparing these equations with (i), we get

$m_1=0$

$m_2=\sqrt{3}$

Angle between two lines whose slopes are $m_1\text{ and }m_2$ is

$\tan \theta=\left|\dfrac{m_2-m_1}{1+m_1m_2}\right|$

Putting $m_1=0$ and $m_2=\sqrt{3}$ , we get

$\tan \theta=\left|\dfrac{\sqrt{3}-0}{1+(0)(\sqrt{3})}\right|$

$\tan \theta=\left|\dfrac{\sqrt{3}}{1+0}\right|$

$\tan \theta=\pm \sqrt{3}$

Now,

$\tan \theta= \sqrt{3}$ and $\tan \theta=-\sqrt{3}$

$\tan \theta= \tan 60^\circ$ and $\tan \theta=\tan (180^\circ-60^\circ)$

$\theta= 60^\circ$ and $\theta=120^\circ$

$120>90$ , so it is an obtuse angle and $60$ , so it is an acute angle.

Therefore, the obtuse angle between the given pair of straight lines is 120°.

6 0

3 years ago

A cup is 16fl oz, you want to fill it to 12fl oz, which is 3/4 of the cup. What is the other percentage of water if you already

Shtirlitz [24]

10.5 fl (87.5%)

Step-by-step explanation:

also, you are giving 5 points to whoever answers your question, but it takes 10 points of your to ask the question

hope this helps <3

3 0

3 years ago

Read 2 more answers

Existing now, current ;real

mrs_skeptik [129]

Answer:

existing

Step-by-step explanation:

7 0

3 years ago

Cassidy wrote the linear equation y = 5 x + 4. Then, she wrote the equation of the line that is parallel to y = 5 x + 4 and that

Kryger [21]

Answer:

b=−5x+y

Step-by-step explanation:

Let's solve for b.

y=5x+b

Step 1: Flip the equation.

b+5x=y

Step 2: Add -5x to both sides.

b+5x+−5x=y+−5x

b=−5x+y

3 0

3 years ago

Angle Q and angle R are supplementary angles. If the measure of angle Q = 2xº and the

iogann1982 [59]

Answer: 33°

Step-by-step explanation: Because Angles Q and R are supplementary, we can say 2x + x + 81° = 180°

3x + 81° = 180° Subtract 81° from each side

3x = 99° Divide by 3

x = 33°

8 0

3 years ago