Distance = Speed × Time = 80 km/h × 2.5 h = 200 km

Time = distance / speed = 320 km / 80 km/h = 4 hours.

Total distance is 240 km and total time is 5 hours, so average speed is 240/5 = 48 km/h.

The cross Aa x aa will produce offspring in a 1:1 phenotypic ratio (A:a).

When a trait is controlled by multiple alleles, it is referred to as multiple alleles.

The son will inherit the X chromosome from his mother. If she is a carrier (X^HX^h), there is a 50% chance he will inherit the X^h and express the trait.

A transversal intersecting two parallel lines forms 4 pairs of corresponding angles.

When a transversal intersects two parallel lines, the same-side interior angles are supplementary, meaning they add up to 180 degrees.

Using the binomial probability formula: P(X=k) = C(n,k) * p^k * (1-p)^(n-k). Here, n=5, k=3, p=0.8. Thus, P(3 out of 5) = C(5,3) * (0.8)^3 * (0.2)^2 = 10 * 0.512 * 0.04 = 0.2048.

Probability that treatment is not effective for one patient = 1 - 0.8 = 0.2. For three patients, the probability that it is not effective for all = 0.2^3 = 0.008. Therefore, the probability that it is effective for at least one = 1 - 0.008 = 0.992.

1100 kg / 22 kg/tree = 50 trees

Number of trees = 2000 kg / 50 kg/tree = 40 trees

Height = shadow * tan(30°) = 10 * (1/√3) = 10/√3 = 5√3.

The area of a triangle is given by (1/2) × base × height. Therefore, the area is (1/2) × 8 cm × 5 cm = 20 cm².

Area = 1/2 * base * height => 30 = 1/2 * 10 * height => height = 30 / 5 = 6 units.

Area = 1/2 * base * height. Therefore, 30 = 1/2 * 10 * height, height = 6 units.

The sum of angles in a triangle is 180°. Therefore, the third angle is 180° - 30° - 60° = 90°.

Yes, because 3² + 4² = 5² (9 + 16 = 25).

Area = 1/2 × base × height = 1/2 × 3 cm × 4 cm = 6 cm².

A triangle with sides 3 cm, 4 cm, and 5 cm satisfies the Pythagorean theorem (3² + 4² = 5²), thus it is a right-angled triangle.

The area of a right triangle is (1/2) * base * height = (1/2) * 3 * 4 = 6.

A triangle with sides 3, 4, and 5 satisfies the Pythagorean theorem, thus it is a right triangle.

Yes, because 5² + 12² = 25 + 144 = 169 = 13².

This triangle satisfies the Pythagorean theorem (5² + 12² = 13²), thus it is a right triangle.

Using the Pythagorean theorem, 7² + 24² = 49 + 576 = 625 = 25², thus it is a right triangle.

Check using the Pythagorean theorem: 25² = 7² + 24², 625 = 49 + 576, 625 = 625. It is a right triangle.

The maximum length of the third side is less than the sum of the other two sides, so it can be at most 6 + 8 - 1 = 13, but must also be greater than the difference, so it can be at most 10.

The maximum length of the third side is less than the sum of the other two sides, which is 7 + 24 = 31.

Total cost = (3 * 150) + (5 * 50) = 450 + 250 = 700.

Number of folders = 200 emails / 25 emails per folder = 8 folders.