Answer:
<em>AB = 7.35 cm</em>
Step-by-step explanation:
From the attachment,
In ΔDEF,
DF = GH-(GD+FH) = 6 - (2+3) = 1 cm
DE = 2+3 = 5 cm (sum of two radius)
Applying Pythagoras theorem,
![EF=\sqrt{DE^2-DF^2}=\sqrt{5^2-1^2}=\sqrt{24}=2\sqrt6](https://tex.z-dn.net/?f=EF%3D%5Csqrt%7BDE%5E2-DF%5E2%7D%3D%5Csqrt%7B5%5E2-1%5E2%7D%3D%5Csqrt%7B24%7D%3D2%5Csqrt6)
In ΔCDI,
DI = GH-(GD+IH) = 6 - (2+1.5) = 2.5 cm
CD = 2+1.5 = 3.5 cm (sum of two radius)
Applying Pythagoras theorem,
![CI=\sqrt{CD^2-DI^2}=\sqrt{3.5^2-2.5^2}=\sqrt6](https://tex.z-dn.net/?f=CI%3D%5Csqrt%7BCD%5E2-DI%5E2%7D%3D%5Csqrt%7B3.5%5E2-2.5%5E2%7D%3D%5Csqrt6)
AB = EF + CI = ![2\sqrt6+\sqrt6=3\sqrt6=7.35\ cm](https://tex.z-dn.net/?f=2%5Csqrt6%2B%5Csqrt6%3D3%5Csqrt6%3D7.35%5C%20cm)
Answer:
I think Vivek is 20 and his father is 50
Because 30 + 30 equals 60 as he has to be half his age he'll be 30 but that's in 10 years time. you just subtract 30 and 60 by 10 and you'll get 20 and 50
This is going to be an long answer, so I'm putting the answer first. y=3x-7
First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3
Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7
Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
Answer:
Step-by-step explanation:
60
%
discount given in total, so only
40
%
is paid.
Explanation:
So here we need to make a two-step changing factor.
This means that we first take
0.5
(something decreasing by
50
%
) times
0.8
(something decreased by
20
%
) which is
0.4
(something decreased by
60
%
Answer: ![\\140_5\\](https://tex.z-dn.net/?f=%5C%5C140_5%5C%5C)
Step-by-step explanation:
Let 's make a division of 101101 by 101 in binary
![\begin {array} {c|c||c}quotient & remainder & quinary\\101101&0&0\\1001&100&4\\1&1&1\\0\\\end {array}\\](https://tex.z-dn.net/?f=%5Cbegin%20%7Barray%7D%20%7Bc%7Cc%7C%7Cc%7Dquotient%20%26%20remainder%20%26%20quinary%5C%5C101101%260%260%5C%5C1001%26100%264%5C%5C1%261%261%5C%5C0%5C%5C%5Cend%20%7Barray%7D%5C%5C)
![Reading\ from\ down\ to \ up :\ 140_5\\](https://tex.z-dn.net/?f=Reading%5C%20from%5C%20down%5C%20to%20%5C%20up%20%3A%5C%20140_5%5C%5C)