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GalinKa [24]
2 years ago
9

What is the value of b

Mathematics
1 answer:
Talja [164]2 years ago
6 0

Answer:

Step-by-step explanation:

b is an inscribed angle. The rule for this is that the measure of an inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is 56 degrees, so the measure of angle b is half of that at 28

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RoseWind [281]
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Please help me ASAP
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3 years ago
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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°.

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3 years ago
Find the value expression <br> -6+15+15
ElenaW [278]

Answer:

24

Step-by-step explanation:

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3 years ago
The school cafeteria ordered 42 boxes of pasta. Each box contained 24 ounces. Drag numbers from the box to write two different e
Goshia [24]

Answer:

Boxes = 1008oz

Step-by-step explanation:

Given

Boxes = 42

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Required

Determine the number of ounces ordered

The question is incomplete, as the numbers to drag are not given. However, the alternate solution is as follows:

Boxes = 42\ boxes

This can be rewritten as:

Boxes = 42 * 1\ box

Substitute 24oz for 1 box

Boxes = 42 * 24oz

Boxes = 1008oz

<em>Hence, a total of 1008 ounces were ordered</em>

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2 years ago
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