Under the best conditions, a sprout has a 40% probability of blooming.
1 answer:
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Answer:
Thus our artist now has to draw 24 Portraits a day (hence 6 more portraits per day) if he wants to lower the price from $16 to $12 per portrait and still make the same profit of $1440.
Step-by-step explanation:
Lets analyse the information given in the question for our caricature arist.
- 18 Portraits per Day Drawn
- $16 Per Portait Charged
- 5 days work in a week
This can tells us the Profit the arist makes in 5 days of work selling 18 portraits for $16 per portrait by multiplying all three values together as:
Eqn(1)
<em>Now the question tells us that the artist lowered the price from $16 to $12 dollars and he needs to know the number of portraits he must make now to still make the same profit of $1440 as in Eqn(1). In the first part our uknown was the Profit. In this part our known is the Portraits number (lets call it ) so Eqn(1) can now be expressed as follow, to obtain
that will still gives as $1440 Profit:</em>
Thus our artist now has to draw 24 Portraits a day (hence 6 more portraits per day) if he wants to lower the price from $16 to $12 per portrait and still make the same profit of $1440.
Answer:
volume of the figure after rotation=56.52 cubic units.
Step-by-step explanation:
<em>After rotating the figure around the line y=x, we will see that the coordinates (x,y) change to the coordinates (y,x).</em>
Hence the coordinates of the triangle (0,0),(6,6) and (9,3) changes to (0,0),(6,6) and (3,9).
we will get a cone on rotating the triangle across y=x.
The radius of cone(r)=3 units.
height of cone(h)=6 units.
volume of the cone= .
Hence, volume of cone= 56.52 cubic units.
Answer:
Given:
In Rhombus QRST, diagonals QS and RT intersect at W and U∈QR and point V∈RT such that UV⊥QR. (shown in below diagram)
To prove: QW•UR =WT•UV
Proof:
In a rhombus diagonals bisect perpendicularly,
Thus, in QRST
QW≅WS, WR ≅ WT and m∠QWR=m∠QWT=m∠RWS=m∠TWS=90°.
In triangles QWR and UVR,
(Right angles)
(Common angles)
By AA similarity postulate,
The corresponding sides in similar triangles are in same proportion,
(∵ WR ≅ WT )
Hence, proved.
