Geometry Answers

The length of the bases of a trapezoid are 18 centimeters and 30 centimeters. Find the length of its median.

A circular oil spill has a radius of 2 miles. After a day, the radius of the oil spill increases by 3 miles. By how many square miles does the area of the oil spill increase? Round to the nearest thousand, if necessary

A Region of land 50meters by 40meters is to cross diagonally by a road 15meters wide. What is the roads area?

Fine the altitude and the area of an equilateral triangle whose side is 60+60+60=180

If the sum of the lengths of the two bases of a trapezoid is 100cm, what is the length of

its median?

 Write C++ program that calculates the area and the circumference of a square. Read the

required input from the user at the runtime. Where area = edge2 and circumference = 4 edge

Trace the following curves:

i) 𝑥(4𝑎

2 + 𝑦

2

) = 8𝑎

3

ii) 𝑦

2

(𝑥

2 + 𝑦

2

) + 𝑎

2

(𝑥

2 − 𝑦

2

) = 0

iii) 𝑎

2𝑦

2 = 𝑥

2

(𝑎

2 − 𝑥

2

)

iv) 𝑥 = 𝑡

2

, 𝑦 = 𝑡 −

𝑡

3

3

v) 𝑟 = 𝑎(1 + 𝑠𝑖𝑛𝜃)

vi) 𝑟

2 = 𝑎

2

𝑠𝑖𝑛2𝜃

vii) 𝑟 = 𝑎 𝑐𝑜𝑠3𝜃

viii) 𝑟 = 𝑎(1 + 𝑠𝑖𝑛𝜃)

32Men working at the rate of 9hrs aday can complete apiece ofwork in 7 days.how many more men working at therate of 8hrs a day would complete the work in 6days

In cooking class, Maya measures a stick of butter. It is 13 centimeters long, 3 centimeters wide, and 3 centimeters tall. What is the volume of the stick of butter?

A square ABCD and PQ are the midpoints of BC and CD. If AP=a and AQ=b .find in terms of a and b the directed line segment AB