art bought 4 boxes of pens but gave his friend ben 8 pens and now has a total of 112 pens how many are in a box? which of the fo
2 answers:
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No portion of your medical expenses you can deduct
Step-by-step explanation:
You discovered you can deduct medical expenses over 6% of
your income
Your income is $42,000
You had medical expenses of $567
We need to find the portion of your medical expenses you can deduct
∵ Your income = $42,000
∵ You can deduct medical expenses over 6% of your income
- Find the 6% for your income
∵ 6% of the income = × 42,000 = $2520
∴ 6% of your income is $2520
∵ You can deduct medical expenses over 6% of your income
∴ If your medical expenses greater than $2520, then you can
deduct the value greater than it, but if your medical expenses
smaller than $2520, then you can not deduct any value
∵ You had medical expenses of $567
∵ $567 < $2520
∴ There is no value you can deduct from your medical expenses
No portion of your medical expenses you can deduct
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Answer:
- AH = 3.2
- CH = 1.8
- BH = 2.4
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
