### Which pair of angles has congruent values for the sinx° and the cosy°?

Part(a) $35^{circ};55^{circ}$ Part(b) $35^{circ};145^{circ}$ Read moreIdentify the surface whose equation is given. ρ=sinθsinØPart(c) $35^{circ};70^{circ}$ Part(d) $35^{circ};35^{circ}$ This question aims to find the pair of angles concurrent to the sin x and cos y. Read moreA uniform lead sphere and a uniform aluminum sphere have the same mass. What is the ratio of the radius of […]

### Co-planar circles that have a common center are called:

What type of circles are present in the figure? – Common Circles Read moreIdentify the surface whose equation is given. ρ=sinθsinØ– Tangent Circles – Congruent Circles – Concentric Circles Read moreA uniform lead sphere and a uniform aluminum sphere have the same mass. What is the ratio of the radius of the aluminum sphere to […]

### Write the area A of a circle as a function of its circumference C.

The purpose of this question is to explain the geometry of the circle, understand how to calculate the circumference and the area of the circle, and learn how the different formulas of the circle relate to each other. The assemblage of points that are at a specified distance $r$ from the center of the circle […]

### Find an equation for the plane consisting of all points that are equidistant from the points (1,0,-2) and (3,4,0).

This problem aims to familiarize us with geometrical calculations. The concept required to solve this problem is the distance formula in 3-dimensional space, and some square and cubic algebraic formulas. The formula for distance states that the distance between two points in xyz-space is the sum of the squares of the differences between similar xyz coordinates under a square root. Let’s say we have points: Read moreIdentify the surface whose equation is given. ρ=sinθsinØ[ […]

### If the atomic radius of lead is 0.175 nm, calculate the volume of its unit cell in cubic meters.

The aim of this question is to calculate the volume of a unit cell, giving due attention to the lettuce structure of the given metal. The uniform spatial arrangement scheme of atoms, molecules, and/or ions is called crystal structure. The overall crystal structure can be divided into smaller basic elements that can be spatially repeated to […]