10. 150
11. 1250
12. 105
13. 158000
15. B
we have to firstly apply the distance formula to find the length of sides of the triangle
distance formula = 
So length AB = 
BC= 
AC = 
Now perimeter = AB+BC+AC = 
Plug in calculator
perimeter= 11.4 units
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Answer:
10.5
Step-by-step explanation:
225÷21.50
=10.46511
=10.5(3sf)
Answer:
Length = 24 and Width = 81
Step-by-step explanation:
Let Width be W
then Length = W-57
Perimeter of rectangle = 2(Length + Width)
=2 (W-57+W)= 210
4W- 114= 210
4W= 324
W= 81
Then Length = 81-57 = 24