Answer:
x = 10
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠CBD is an external angle of the triangle, thus
4x + 30 = 2x + 10 + x + 30, that is
4x + 30 = 3x + 40 ( subtract 3x from both sides )
x + 30 = 40 ( subtract 30 from both sides )
x = 10
Answer:
367.2 cm²
Step-by-step explanation:
First, you need to find the area of the lateral surfaces, since each one is a 5cm by 6cm rectangle, all you need to do is multiply to find the area of one of them, and then multiply by 6 to find the area of all 6 sides.
lateral area = 5cm * 6cm * 6
lateral area = 30cm² * 6
lateral area = 180 cm²
Next, you need to find the total surface area by multiplying the area of the base by two and adding that to the lateral surface area.
SA = 180cm² + 2(93.6cm²)
SA = 180cm² + 187.2cm²
SA = 367.2cm²
The total surface area is 367.2 cm².
Step-by-step explanation:
log 25 + log 8 = log (25 × 8) = log 200
log 200 - log 2 = log (200 ÷ 2) = log 100
logarithm base 10 of 100 is 2.
