From the diagram above, we can deduce that;
Hence, the measure of angle ABE IS 51 + 30=81 degrees
A right angle and a 70 degree angle
Answer:
21.8° (22° to the nearest degree)
Step-by-step explanation:
Using cosine law:
a² = b² + c² - 2bc(cosA)
3² = 5² + 7² - 2(5)(7)cosA
cosA = 13/14
A = 21.7867893
Approximately angle: 22°
Answer:
Area = 8(π + 5) cm²
Perimeter = 2(2π + 11) cm
Step-by-step explanation:
The figure above is composed of a triangle and a semicircle.
Area = area of semicircle + area of triangle
Area = (½πr²) + (½*b*h)
Where,
r = radius = ½ of 8 = 4cm
b = base = 8 cm
h = height = 10 cm
Area = (½*π*4²) + (½*8*10)
Area = (½*π*16) + (4*10)
Area = 8π + 40
Area = 8(π + 5) cm²
Perimeter = perimeter of semicircle + sum of the sides of the triangle.
Perimeter of semicircle = πr = π*4 = 4π cm
One side of the triangle can be calculated using Pythagorean theorem as follows:
Let the side be x.
x² = 10² + 4²
x² = 100 + 16
x² = 116
x = √116 = 10.77 ≈ 11
Sum of both sides = 11+11 = 22cm
Perimeter of the figure = 4π + 22
Perimeter = 2(2π + 11) cm
The last one is 54aquare units