Answer:
Step-by-step explanation:
It can be convenient to compute the length of the hypotenuse of this triangle (AC). The Pythagorean theorem tells you ...
AC^2 = AB^2 + CB^2
AC^2 = 4^2 + 3^2 = 16 + 9 = 25
AC = √25 = 5
The altitude divides ∆ABC into similar triangles ∆AHB and ∆BHC. The scale factor for ∆AHB is ...
scale factor ∆ABC to ∆AHB = AB/AC = 4/5 = 0.8
And the scale factor to ∆BHC is ...
scale factor ∆ABC to ∆BHC = BC/AC = 3/5 = 0.6
Then the side AH is 0.8·AB = 0.8·4 = 3.2
And the side CH is 0.6·BC = 0.6·3 = 1.8
These two side lengths should add to the length AC = 5, and they do.
The remaining side BH can be found from either scale factor:
BH = AB·0.6 = BC·0.8 = 4·0.6 = 3·0.8 = 2.4
_____
The sides of interest are ...
AH = 3.2
CH = 1.8
BH = 2.4
Answer: There are 20 socks in the first case and there are 75 socks in the second case.
Step-by-step explanation:
Since we have given that
Number of equal groups = 5
Let the total number of socks be 's'.
According to question, expression will be
Now, Suppose number of socks in each group = 4
So, it will become,
Suppose number of socks in each group = 15
So, Total number of socks become
Hence, there are 20 socks in the first case and there are 75 socks in the second case.
Answer:
A = 6.4
Step-by-step explanation:
A - 5.36 = 1.04
+5.36 +5.36
A = 6.4
Answer:
10
Step-by-step explanation:
10 is the least of the numbers, it is the lowest
10<14,16,20,29