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Kryger [21]
3 years ago
6

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used

to find the side lengths if the longest side measures 6.2 cm?
Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

Answer:

Step-by-step explanation:

If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.

Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.

Hope that helped,

-sirswagger21

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Width is 5 meters.
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I hope this helps you



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5 0
3 years ago
Habib wants to cover a kitchen wall in ceramic tile. The wall is 42 feet by 10 feet.
Slav-nsk [51]

Answer: Side of largest square tile will be 105 feet.

Explanation:

Since we have given that

dimensions of the wall is 42 feet by 10 feet

So,

Length of wall = 42 feet

Breadth of wall = 10 feet

First we calculate the H.C.F. of 42 and 10,

which is 2 only.

The largest square tile side would be 2 feet.

Now, we find the number of tiles used,

Number of tiles =

\frac{\text{Area of wall}}{\text{H.C.F. of }42\text{ and }11\times\text{ H.C.F. of }42\text{ and } 11}}\\\\=\frac{42\times 10}{2\times 2}\\\\=\frac{420}{4}\\\\=105

We get integer value of number of tiles.

Therefore, Side of largest square tile will be 2 feet.

7 0
3 years ago
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.

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6 0
3 years ago
Which of these numbers had exactly tow factors?
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Answer:

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Step-by-step explanation:

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