Answer:
Please look at the attachment for the graph of solution.
Step-by-step explanation:
We have been give two inequalities:
And
Solution to the inequality graphically is where the two graphs of the inequalities intersects.
Please look at the attachment shaded area is the region for solution to the inequality.
Answer:
The answer is c
Step-by-step explanation:
did it on ed2020
36 square pieces of cake can be cut from the rectangular cake.
"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles."
"A square is a shape that has four straight sides of the same length and four angles of 90 degrees"
It is given that the cake is a rectangle and squares are cut from it.
To find the area of the cake:
Area = 22.5 × 10
= 225
The area of each square piece cut from the cake:
Area = 2.5²
=6.25
To find the number of pieces cut, divide the area of the cake by the area of each piece.
To know more about square and rectangle here
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Answer:
Ratio of PQC to ABC is 2:9.
Step-by-step explanation:
In ΔBRQ and ΔBPC
∠BQR = ∠BCP (given) and ∠B is common for both triangles, so from AAA similarity ΔBRQ and ΔBPC are similar.
⇒ BQ : QC = BR : RP = 2 : 1 →(1)
now draw perpendiculars from points A and P to BC line segment. Call the projected points as A' and P'.
It is clear that lines AA' and PP' are parallel. So in ΔBPP' and ΔBAA' we have AAA similarity with common angle at B.
⇒PP' : AA' = BP : BA = 2 : 3 →(2) (∵ AP : PB = 1 : 2)
area of ΔPQC = 0.5×PP'×QC
area of ΔABC = 0.5×AA'×BC
area of ΔPQC : area of ΔABC = (0.5×PP'×QC)/(0.5×AA'×BC)
=(PP'/AA')×(QC/BC)
=(2/3)×(1/3) (∵ from (1) and (2))
=2/9.
∴ Ratio of PQC to ABC is 2:9