Area = (1/2) × (base1 + base2) × height = (1/2) × (10 + 6) × 4 = 32 m².

Height = 10 * tan(30°) = 10 * (1/√3) ≈ 5 m

Using the tangent function, tan(30) = height / 15. Therefore, height = 15 * tan(30) = 15 * (1/√3) = 5√3 meters.

Volume of a cube = (side length)³ = (10)³ = 1000 cm³.

x^2 - 5x + 6 can be factored as (x-2)(x-3) since -2 and -3 add to -5 and multiply to 6.

Total surface area = 2πr(h + r) = 2π(2)(5 + 2) = 28π cm².

For both roots to be negative, k must be less than -8 (sum of roots < 0).

For equal roots, D = 0; thus, 6^2 - 4*1*k = 0 => 36 - 4k = 0 => k = 9.

Using the tangent function, tan(45) = height / 20. Therefore, height = 20 * tan(45) = 20 meters.

The molar mass of CO2 is 44 g/mol. Therefore, 24 g of CO2 contains 24 g / 44 g/mol = 0.545 moles of CO2, which corresponds to 0.545 moles of carbon.

The number of ways to choose 2 items from 5 is calculated using combinations: C(5,2) = 5! / (2!(5-2)!) = 10.

The reaction is C + O2 -> CO2. The molar mass of C is 12 g/mol and CO2 is 44 g/mol. 10 g of C produces (10 g / 12 g/mol) * 44 g/mol = 36.67 g of CO2.

Let the number be x. 3(x + 12) = 60 => x + 12 = 20 => x = 8.

5.5 * 1.2 = 6.6

The strong acid and strong base neutralize each other, resulting in a neutral solution with pH 7.

5.5 / 1.5 = 3.6667

In 2 hours (120 minutes), there are 120/20 = 6 divisions. Therefore, 1 bacterium becomes 2^6 = 64 bacteria.

Number of fish that survive = 200 eggs * 0.8 = 160 fish.

Recycled waste = 25% of 400 = 0.25 * 400 = 100 tons.

Area of protected reserves = 30% of 1,000,000 = 0.3 * 1,000,000 = 300,000 sq km.

There are 3 even numbers (2, 4, 6) out of 6 possible outcomes, so the probability is 3/6 = 1/2.

Total shoots after 5 years = 2 initial shoots + (4 shoots/year * 5 years) = 2 + 20 = 22 shoots.

Using sine, opposite = 12 * sin(30) = 12 * (1/2) = 6 meters.

After 4 months, the total number of offspring will be 3 offspring/month * 4 months = 12 offspring.

Energy produced = Power * Time = 250 watts * 5 hours = 1250 watt-hours = 1.25 kWh.

Total acorns in 3 years = 50 acorns/year * 3 years = 150 acorns. New trees = 150 * 0.1 = 15 new trees.

Time to fill = Total capacity / Rate = 1,200,000 / 15,000 = 80 hours.

sin(θ) = √(1 - cos²(θ)) = √(1 - 0.36) = √0.64 = 0.8

f(-1) = 4(-1)^2 + 3(-1) - 5 = 4 - 3 - 5 = -4.

g(1) = 1^3 - 2(1^2) + 1 - 2 = 1 - 2 + 1 - 2 = -2.