Which expression is equivalent to −30+(−40)+(−70) ?
1 answer:
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Triangle ABC is similar to triangle CEF.
<u>Explanation:</u>
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Diagram is inserted for the reference.
ABCD is a rectangle.
ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)
CEF is a right angled triangle because FE is perpendicular to DC – (b)
In triangles ABC and CEF,
1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)
2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)
Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.
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Answer:
4 acres of wheat and 4 acres of rye.
Step-by-step explanation:
Given: Farmer has only 7 acre, he has plant at least 7 acres.
Farmer has only $1200 to spend.
Each acre of wheat will cost $200 and rye will cost $100.
Planting time is only 12 hours
Wheat planting take 1 hour per hour and rye take 2 hours per acre.
Profit on wheat is $500 per acre and rye $300 per acre.
As to find out maximum profit, we need to plant maximum wheat.
While dividing number of acres of land for wheat and rye for plantation, we need to keep two constraint in the mind; Constraint of cost and time as given.
Lets assume few number considering these constraint to get maximum profit.
First assumption, 5 acres of wheat and 2 acres of rye
Time taken=
Total time taken 7 hours
Amount spent=
Total cost is $ 1200.
Profit=
Maximum profit= $3100.
Second assumption, 4 acres of wheat and 4 acres of rye.
Times taken=
Total time taken is 12 hours
Amount spent=
Total cost is $1200.
Profit=
Maximum profit= $3200.
∴ By using hit and trail method, we can see that we are getting maximum profit when farmer is planting 4 acres of wheat and 4 acres of rye.