Answer:
3(360⁰)-335⁰
=1080⁰-335⁰
=745⁰ is a positive angle.
Event 4 (impossible), Event 3 (probability is 7/20), Event 1 (probability is 6/12 which is greater than 7/20), and Event 2 (certain to happen)
Answer:
111 m²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angle) with two pairs of parallel sides. Opposite sides of a rectangle are equal to each other. Also all the angles of a rectangle are 90° each.
The area of a rectangle = length * width
For rectangle 1, length = 12 m, width = 3 m
Therefore area of rectangle 1 = length * width = 12 m * 3 m = 36 m²
For rectangle 2, length =(12 m - 3 m - 3 m) = 6 m, width =(15 m - 10 m) =5 m
Therefore area of rectangle 2 = length * width = 6 m * 5 m = 30 m²
For rectangle 3, length = 15 m, width = 3 m
Therefore area of rectangle 3 = length * width = 15 m * 3 m = 45 m²
Area of composite shape = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of composite shape = 36 m² + 30 m² + 45 m² = 111 m²
Answer:
22.5
Step-by-step explanation:
What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.
If you want to calculate it yourself stop reading here, because I will work it out now.
Volume box = a*b*c
Volume prism = 15
Volume pyramid = (b * c * a)/3
The prism has the volume of the box minus the pyramid so
abc - (abc)/3 = 15
abc - (1/3)abc = 15
(2/3)abc = 15
abc = 22.5
So 22.5 is the volume of the figure
Absolute value "washes" (That's how my teacher put it) away the negative. So the absolute value of -55 would be 55.
16
9
19
23
5
100
