Mathematics, 14.03.2020 22:45 Legoman29305

Three baseball players are playing catch. Vondra is directly south of Mei and directly west of
Yoshi. Vondra and Yoshi are 8 meters apart and Yoshi and Mei are 10 meters apart. How farapart are Vondra and Mei?

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Answer from: Ladarius566

Vondra and Mei are 6 meters apart.

Step-by-step explanation:

From the given information, It can be known that :

Vondra is directly south of Mei ⇒ which forms the height of the triangle.Vondra is directly west of Yoshi ⇒ which forms the base of the triangle.

The distance between Vondra and Yoshi are 8 meters which is the base of the triangle. (Base= 8).

The distance between Yoshi and Mei are 10 meters which is the hypotenuse of the triangle. (hypotenuse= 10).

To find the distance between Vondra and Mei which is the height of the triangle :

From the Pythagorean triplets (3,4,5),

It is determined that the multiples of (3,4,5) = (6,8,10) forms the triangle in this particular case.

Therefore, the height is 6 meters. That is, the distance between Vondra and Mei is 6 meters.

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

#14 . solve each inequality using addition and subtraction.

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