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creativ13 [48]
3 years ago
14

How can I get 20/24 with this numbers 3/6 ,1/4 ,1/3

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Hello from MrBillDoesMath!

Answer:   3/6 + 0*(1/4) + 1/3   = 20/24


Discussion:

My first thought was to convert all the number to use a denominator of 24:

3/6 = 12/24    (*)

1/4  = 6/24

1/3 =  8/24      (**)


Note that the sum of (*) and (**) gives 20/24:

3/6 + 1/3 = 12/24 + 8/24  = 20/24.

which is what we want. So what do we do about the 1/4 term?  Hmmm... Let's multiply it by zero! Your teacher may not like this  but the problem statement doesn't exclude it. Consider this:

3/6 + 0*(1/4) + 1/3   = 20/24



Thank you,

MrB


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an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.​
dolphi86 [110]

Answer:

\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

A_\triangle=\dfrac{bh}{2}

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have:

leg=5,\ leg=h,\ hypotenuse=20

Substitute:

5^2+h^2=20^2

25+h^2=400             <em>subtract 25 from both sides</em>

h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm

Calculate the area:

A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2

8 0
3 years ago
Choose the ratio that you would use to convert 0.5 miles to yards. Remember that there are 1,760 yards in one mile.
zavuch27 [327]
Hello there, and thank you for posting your question here on brainly.

So, you need to find the ratio of the following to figure out which one is how to find how many yards are in half a mile.

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So you'd divide it by what? 2.

Which is the result? C. 880 yd / 1 mi

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8 0
3 years ago
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A landscaper wants to create a 12-foot-long diagonal path through a rectangular garden. The width of the garden is x feet and th
dolphi86 [110]

Answer:

Width of the rectangle =  6.7 ft

length of the rectangle = 10.7 ft

Step-by-step explanation:

ABCD is the rectangle.

AB = length of the rectangle = 4 + x ft

BC = width of the rectangle = x ft

AC = Diagonal of the rectangular field = 12 ft

Since ΔABC is the Right angle triangle. So

AC^{2} = AB^{2} + BC^{2}

12^{2} = (4 + x)^{2} + x^{2}

144 = x^{2} + 16 + x^{2} + 8 x

144 = 2x^{2} + 8x + 16

x^{2} + 4x -72 = 0

By solving above equation we get

x = 6.7 ft

Thus is the width of the rectangle.

And length of the rectangle = 4 + x

⇒ 4 + 6.7

⇒ 10.7 ft

5 0
3 years ago
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