Answer:
The answer is 16 ÷ 2 = 8.
Step-by-step explanation:
Now, to find the expression modeled by arrangement of tiles.
So, according to the model in the question.
There are 16 tiles in the model.
So, arrangement of 16 tiles divided into 2 groups.
Where each group consist 8 tiles.
So, we can write as:
As 16 is the number of tiles and 2 is the number of groups.
Now, we can check the expression by doing the division.
Therefore, each group has 8 tiles.
Solution:
Consider the Given Isosceles Triangle
Considering the Possibilities
Case 1. When two equal angles are of 70°
Let the third angle be x.
Keeping in mind , that sum of Interior angles of Triangle is 180°.
70° + 70° + x= 180°
140° +x= 180°
x= 180°- 140°
x= 40°
Case 2:
When an angle measures 70°, and two equal angles measure x°.
Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.
70° + x° + x° = 180°
⇒ 70° + 2 x° = 180°
⇒ 2 x° = 180° - 70°
⇒ 2 x° = 110°
Dividing both sides by 2, we get
x= 55°
Answer:
14.86 knots.
Step-by-step explanation:
<em>Given that:</em>
The boats leave the port at noon.
Speed of boat 1 = 12 knots due east
Speed of boat 2 = 8 knots due south
At 2 pm:
Distance traveled by boat 1 = 24 units due east
Distance traveled by boat 2 = 16 units due south
Now, speed of boat 1 changes to 9 knots:
At 3 pm:
Distance traveled by boat 1 = 24 + 9= 33 units due east
Distance traveled by boat 2 = 16+8 = 24 units due south
Now, speed of boat 1 changes to 8+7 = 15 knots
At 5 pm:
Distance traveled by boat 1 = 33 + 2 9= 51 units due east
Distance traveled by boat 2 = 24 + 2 15 = 54 units due south
Now, the situation of distance traveled can be seen by the attached right angled .
O is the port and A is the location of boat 1
B is the location of boat 2.
Using pythagorean theorem:
so, the total distance between the two boats is 74.28 units.
Change in distance per hour =