You make $20 per lawn you mow
Answer:
18
Step-by-step explanation:
Answer:
a) Yes
b) Not a right triangle
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.
7 + 8 = 15 > 9
7 + 9 = 16 > 8
8 + 9 = 17 > 7
Therefore, a triangle with side lengths 7, 8 and 9 <u>can</u> be made.
<h3><u>Part (b)</u></h3>
To determine if the triangle is a right triangle, use Pythagoras' Theorem:
a² + b² = c² (where a and b are the legs, and c is the hypotenuse)
The hypotenuse is the longest side, therefore:
Substituting these values into the formula:
⇒ a² + b² = c²
⇒ 7² + 8² ≠ 9²
⇒ 113 ≠ 81
As 7² + 8² ≠ 9² then the triangle is <u>not</u> a right triangle.
Let's find out.
David needs to score an average of 145 across all four games, so first we do:
145 × 4 = 580
Then we add all the scores he currently has:
139 + 143 + 144 = 426
Then we subtract 426 from 580 to find out how much he needs to score for his fourth:
580 - 426 = 154
David needs to score 154 on his 4th game to have an average score of 145 for all 4 games.
