Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.
Answer:
Step-by-step explanation:
since AD is a median it implies that triangle ABC is bisected to two equal right angled triangle which are ADB and ADC.
FE is parrallel to BC and cuts AB at F and AC at E shows that there are two similar triangles formed which are AFE and ABC.
Recall that ADC is a right angled triangle, ED bisects a right angled triangle the the ADE =
.
Now, Let FD bisect angle ADB,
then ADF =
too.
Since AFX is similar to Triangle ABD and that Triangle AEX is similar to Triangle ACD, then EDX is similar to FDX
FDE = ADF + ADE = 
Answer:

Step-by-step explanation:
Given


<em>See attachment</em>
<em></em>
Required
Determine the total surface area, T
T is calculated using:

Substitute values for r and h


Remove bracket


Take 
So, we have:


--- approximated.
<em>Hence, the surface area is 1300 square inch</em>
Answer:
A'
Step-by-step explanation:
It is A' because they are corresponding angles, it is the same exact shape it has just been translated to a different area of the graphic plane.
If my answer is incorrect, please notify me and I'll assess what it was that I did wrong.
Answer:
Step-by-step explanation:
8/3