Geometry Answers

The equation of a circle is 4x^2+4y^2-12x+32y=27. Find the chord of the circle that cuts the x-axis.

Complete the sentence below.

In a 30-60-90 right triangle, the length of the hypotenuse is ____ ____ times the length of the short leg, and the length of the long leg is _______ times the length of the short leg

A plane travels passing coordinate (2,-1,-3) and (4,2,7). At the time of travel, wind

blows in parallel associating to the vector of ."i+ 4j- 2k." Describe the situation

according to the suitable mathematical concepts.

<10 marks>

Ferris wheel cars are at a position of A (9,33) and B (27,-15). One of its axle is

represented by 3y+2x-7= 0 where it passes through the center of the wheel.

Draw the suitable graph of the said situation.

1. Determine the exact value of the other five trigonometric functions if sin 𝜃 = (−6,7) and 𝜃 is in quadrant IV.

2. Find all the values of 𝜃 between 0 and 2𝜋 that satisfy the equation, cot 𝜃 = −√3 .

3. Suppose that cos θ = 0.42 and 0<=𝜃<𝜋/2. Use the symmetry of the unit circle to find the exact

values of cos (θ + π).

in a parallelogram ABCD,E,F,G and H are points on AB, BC, CD and DA, respectively such that EG is parallel to BC and FH is parallel to AB. Let P be the point of intersection of EG and FH. Show that the lines AF, CE and DP are concurrent.

What is the sum of all the angles of an equiangular hexagon if each angle measures 120°

The sides a, b, c of a right triangle, where c is the hypotenuse, are circumscribing a circle.

Prove that the radius r of the circle is given by r = (𝑎+𝑏−𝑐)

2

.

Other Math

Given the following data of a quadrilateral: ∠ABC=104°, ∠BCD=89°, ∠ABD=60°, ∠ACD=53°, and AD=1000 m

1.)Determine the length of line BC (in meters, 2 decimal place):   

2.)Determine ∠CAD:

3.)Determine ∠BDA:

3. If BEJO is a square, m∠𝐵𝑂𝐽 = 4𝑥 − 6 and 𝐵𝑂= 2x- 8, find 𝐽𝑂.