Mathematics Homework Solutions

Properties of Equalities

m1=35 and the m2=35. What property justifies the conclusion: m1=m2?

Find the area of a circle given its circumference.

If the circumference of a circle is 30 millimeters, what is its area?

Find circle circumference and square perimeter given the area.

A circle and a square both have an area of 441 square inches. What are their perimeters (circumferences)?

Volume of air around three tennis balls in a can.

A cylindrical can is just big enough to hold three tennis balls. The radius of a tennis ball is 5 cm. What is the volume of air that surrounds the tennis balls?

Dimensions of a Courtyard and Perimeter of a C-shaped Building

Three buildings are connected together as one. One section is 9'2", another is 45'8" x 16'3" and the last one is 18'9" x 15'8". (The shape is a backward square letter c). What are the dimensions of the courtyard and what is the perimeter of the building?

Conics Problem and Parametric Equations : Prove that Tangents of Two Ellipses are Perpendicular

The equations of two ellipses are i) 4x (squared) + 9y (squared) = 36 (ii) 2x (squared) + 3y (squared) = 30. A tangent to ellipse (i) meets the ellipse (ii) at the points P and Q. Show that the tangents at P and Q to ellipse (ii) are at right angles to one another. Please show this using parametric equations.

Graph the linear equation

Graph the linear equation for the indicated values of the independent variable.Show this on a Graph as well as the formula V=50n + 30, 0.1<= n <= 0.9

geometric sequence

using the formular Sn find the sum for the geometric sequence 6 (3) E (/) (3)i i-1 (2)

Amplitude

What is the amplitude of the wave of the equation y=-4 sin 5x?

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