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julsineya [31]
3 years ago
9

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 8 kg to 28 kg

Mathematics
2 answers:
Furkat [3]3 years ago
5 0
8/28=4/14=2/7
2/7 is simplest form
Not 100% sure but hopefully this helps
o-na [289]3 years ago
5 0
8/28
8/4 =2
28/4=7
answer: 2/7
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Triangle DEF is a right triangle, and mD is 32. What is mF? A. 32 B. 45 C. 58 D. 68
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C. 58

Step-by-step explanation:

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3 years ago
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Points A and B have the coordinates shown below.
marshall27 [118]

Answer:

Distance AB is <em>18.79 units</em>

Step-by-step explanation:

Given two points with coordinates as:

A= (-4,7)

B= (-12, -10)

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Solution:

To find the distance between two points with given coordinates, we can use Distance formula.

Distance formula  is given as:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

where (x_1, y_1) and (x_2, y_2) are the two coordinates whose distance is to be find out.

x_1 = -4\\y_1 = 7\\x_2 = -12\\y_2 = -10

AB = \sqrt{(-12-(-4))^2+(-10-7)^2}\\\Rightarrow AB = \sqrt{(-8)^2+(-17)^2}\\\Rightarrow AB = \sqrt{64+289}\\\Rightarrow AB = \sqrt{353}\\\Rightarrow \bold{AB = 18.79\ units }

Distance AB is <em>18.79 units</em>

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3 years ago
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The value of nCn - 1 + nCn - 2 is<br>(a) n/2<br>(b) n(n + 1)/2<br>(c) n(n-1)/2<br>(d) (n + 1)²/2​
Fittoniya [83]

Step-by-step explanation:

We have,

\displaystyle\sf{\,^{n}C_{n-1}+\,^{n}C_{n-2}}

\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-(n-1))!}+\dfrac{n!}{(n-2)!(n-(n-2))!}}

\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-n+1)!}+\dfrac{n!}{(n-2)!(n-n+2)!}}

\displaystyle\sf{=\dfrac{n!}{(n-1)!(1)!}+\dfrac{n!}{(n-2)!(2)!}}

\displaystyle\sf{=\dfrac{n(n-1)!}{(n-1)!(1)!}+\dfrac{n(n-1)(n-2)!}{(n-2)!(2)!}}

\displaystyle\sf{=\dfrac{n}{1}+\dfrac{n(n-1)}{2}}

\displaystyle\sf{=n+\dfrac{n^2-n}{2}}

\displaystyle\sf{=\dfrac{2n+n^2-n}{2}}

\displaystyle\sf{=\dfrac{n^2+n}{2}}

\displaystyle\sf{=\dfrac{n(n+1)}{2}}

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3 years ago
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