Questions

Solve for x and y in a 30-60-90 right triangle with hypotenuse 6

Keywords: 30-60-90 triangle, special right triangles, right triangle side calculation

This problem asks to find the lengths of the legs x and y in a 30-60-90 right triangle with a hypotenuse of 6, using the properties of special right triangles.

Calculate leg lengths x and y in a 45-45-90 right triangle with hypotenuse √10

Keywords: 45-45-90 triangle, isosceles right triangle, special right triangles

This problem requires finding the equal leg lengths x and y in a 45-45-90 right triangle with a hypotenuse of √10, using the ratio properties of special right triangles.

Find x and y in a 30-60-90 right triangle with 60° opposite side 38

Keywords: 30-60-90 triangle, right triangle side calculation, rationalizing denominators

This problem asks to find the shortest leg x and hypotenuse y in a 30-60-90 right triangle where the side opposite 60° is 38, using special right triangle ratios.

Solve for x, y, z in composite 45-45-90 and 30-60-90 right triangles

Keywords: composite right triangles, 45-45-90 triangle, 30-60-90 triangle

This problem requires calculating side lengths x, y, z in a composite figure made of a 45-45-90 right triangle and a 30-60-90 right triangle, using special triangle properties.

Find x, y, z in composite 45-45-90 and 30-60-90 right triangles with side 32

Keywords: composite special triangles, 30-60-90 triangle, 45-45-90 triangle

This problem asks to calculate side lengths x, y, z in a composite figure of 45-45-90 and 30-60-90 right triangles, starting with a given side length of 32.

Calculate x, y, z in composite 30-60-90 and 45-45-90 right triangles with hypotenuse 12

Keywords: composite right triangles, special right triangle ratios, 30-60-90 triangle

This problem requires finding side lengths x, y, z in a composite figure of a 30-60-90 right triangle (hypotenuse 12) attached to a 45-45-90 right triangle.

Find x, y, z in composite 30-60-90 right triangles with leg √3

Keywords: composite 30-60-90 triangles, special right triangles, right triangle side calculation

This problem requires calculating side lengths x, y, z in a composite figure of two 30-60-90 right triangles, starting with a leg length of √3.

Calculate x, y, z in composite 45-45-90 and 30-60-90 right triangles with hypotenuse 15√2

Keywords: composite special triangles, 45-45-90 triangle, 30-60-90 triangle

This problem asks to find side lengths x, y, z in a composite figure of a 45-45-90 right triangle (hypotenuse 15√2) and a 30-60-90 right triangle.

Find x, y, z in composite 30-60-90 and 45-45-90 right triangles with hypotenuse 18

Keywords: composite right triangles, special right triangle ratios, 30-60-90 triangle

This problem requires calculating side lengths x, y, z in a composite figure of a 30-60-90 right triangle (hypotenuse 18) and a 45-45-90 right triangle.

Calculate Resultant Force of Two 280N and 320N Forces at 20 Degree Angle (3 sf)

Keywords: resultant force, law of cosines for forces, vector addition of forces, significant figures, physics force calculation

Solve this high school physics problem: find the resultant force (to 3 significant figures) when a 280 N force and a 320 N force act on an object with a 20-degree angle between them, using the law of cosines for vector addition.

Binomial Probability: Find the Chance 22 of 30 90% Germination Sunflower Seeds Grow

Keywords: binomial probability, sunflower seed germination probability, discrete probability, combination calculation, 90% success rate probability

Solve this high school probability problem: Calculate the probability that exactly 22 out of 30 sunflower seeds (with a 90% germination rate) will grow, using the binomial probability formula and combination calculations.

Binomial CDF vs PDF: Which to Use for "At Most 15 Students Play Sport" Probability?

Keywords: binomial cumulative distribution function, binomial probability density function, cumulative probability, probability phrasing interpretation

Learn to distinguish between binomial PDF and CDF: This problem asks for the probability of at most 15 out of 50 students playing a sport, so the cumulative distribution function is the correct tool to use.