Caution
I just finished doing this exact same problem. In nearly 4000 answers, I don't think that's ever happened. It's a great problem. Study it carefully but make sure you handle with care. Most area questions don't work this way.
Remark:
This problem will puzzle you greatly until you look at the diagram carefully.
Draw the diagram so that AC is on the horizontal and make it the longest line. This problem does not require that you have an accurate diagram.
Eyeball P so that it looks like it divides AC in such a way that PC is 2 units and AP is about 3 units. From B draw a line that is Perpendicular to AC. It shouldn't meet P otherwise you will get confused. Where the line from B hits AC label that point D. BD is perpendicular to AC.
What you need to know
BD is the height of both triangles. What does that mean? In practical terms it means that you can call the ratio of the areas 3/2
Ratio
Triangle ABP: Triangle BPC = x/14
3:2 = x:14 Change to a proportion
3/2 = x/14 Cross multiply
3*14 = 2x Combine
42 = 2x Divide by 2
42/2 = x Divide
21 = x
Conclusion One
The area of ABP = 21 square units.
Conclusion Two
Area ABC = Area ABP + Area CBP
Area ABC = 21 + 14 = 35
Nice problem. Be careful how you treat it. Usually these kind of ratio problems don't work this way.
Answer:
The center is the point
Step-by-step explanation:
we know that
The center of the circle is equal to the midpoint of the endpoints of the diameter
so
The formula to calculate the midpoint between two points is equal to
substitute the values
therefore
The center is the point
Answer:
100-29=71
71-23=48
48/2=24
Therefore, 24-4=20
answer =20
Step-by-step explanation:
twenty teachers are the one attending the the lectures
Answer:
Time = distance/speed. T = 1,200,000,000/28,000. This can be cancelled to 1,200,000/28. Rounding 28 to 30 for the estimate, divide by another ten: 120,000. Then divide by the remaining 3 from 30: 120,000/3 = 40,000. It will take approximately 40,000 hours.
<em>Hope This Helps!</em>
Answer:
55.55% decrease
Step-by-step explanation:
In the question ,
Initial point value = 9
Final point value = 4
Change% =