Answer:
35triangles
Step-by-step explanation:
Given
Total distinct points = 7
If we are to form triangles using the dots,
Total points in a triangle = 3
Using the combination rule;
number of triangles formed = 7C3
7C3 = 7!/(7-3)!3!
7C3 = 7!/4!3!
7C3 = 7*6*5*4!/4!3!
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
Hence the amount of triangles that can be formed is 35triangles
The javelin will hit the ground 14.66 or 15 seconds upon Maria's release from the said distance. The computation are as follows:
time = distance/speed (d/m)
time = 22 meters/second / 1.5 meters
time = 14.66 seconds or 15 seconds
Answer:5,5,yes
Step-by-step explanation:
Answer:
{-8, -7, 0, 6, 9}
Step-by-step explanation:
1. The range of a relation is the set of its possible output values, also known as the y-values of a function.
2. Let's find the y-coordinate of each point.
3. Now, let's order them (from least to greatest) to get the range.
- {-8, -7, 0, 6, 9}
Therefore, the range of this relation is {-8, -7, 0, 6, 9}.
Answer:
82°
Step-by-step explanation:
i. 8x +26 = angle 5 (corresponding angles)
ii. angle 5 = -9x + 179 ( vertically opposite angles)
so,
8x+26= -9x +179 (from i and ii)
or, 17x= 153
therefore, x= 9
now,
angle3 + 8x +26= 180° (linear pair)
angle 3 = 180°- 72-26
hence, angle 3= 82°
