The area of the first circle is 470 square feet. The radius of the second circle is greater than the radius of the first circle by at least 4 feet. Find the area of the second circle. (Use \$π = 22/7\$)

A) 845 sq.ft

B) 828 sq.ft

C) 825 sq.ft

D) 830 sq.ft

Find the length of the line segment between points P(-6, -6) and Q(-6, -10).

A) 5

B) 2

C) 6

D) 4

A circular pond is of diameter 20 m. It is surrounded by a 4 m wide path. Find the cost of constructing the path at the rate of 2 $ per square meter (Use π = 3.14).

A) $602.88

B) $602.22

C) $620.50

D) $625.22

The length of each equal side of an isosceles triangle is 20 cm and the included angle between those two sides is 90 degree. Find the area of the triangle.

A) 350 sq.cm

B) 250 sq.cm

C) 200 sq.cm

D) 300 sq.cm

The sides of a triangle are in the ratio 3 : 4 : 5, and the perimeter is 36 cm. Find the lengths of the three sides.

A) 9 cm,
15 cm,
12 cm

B) 9 cm,
12 cm,
15 cm

C) 15 cm,
12 cm,
9 cm

D) 12 cm,
9 cm,
15 cm

If angles of measures (7x — 4)° and (2x + 13)° are a pair of supplementary angles. Find the measures.

A) 134°, 51°

B) 51°, 125°

C) 129°, 51°

D) 129°, 65°

Calculate the area of a rhombus having diagonals equal to 24 cm and 17 cm.

A) \$214 cm^2\$

B) \$150 cm^2\$

C) \$204 cm^3\$

D) \$204 cm^2\$

If three angles 3x, 2x, and 4x together form a straight angle, find the angles.

A) 80°, 40°, 60°

B) 40°, 80°, 60°

C) 60°, 40°, 80°

D) 60°, 80°, 40°

Two angles are complementary. The larger angle is 24° larger than the smaller angle.

A) larger : 60°

B) larger : 50°

C) larger : 57°

D) larger : 65°

Calculating the value of r3 for an ellipsoid with r1 = 7cm, r2 = 9cm, and volume of \$841.65cm^3\$ .

A) 3.1 cm

B) 2.8 cm

C) 6.1 cm

D) 5.5 cm