Answer:
80 in^2
Step-by-step explanation:
8*4=32
32/2=16
16= One triangle
16*4 triangles=64
4*4=16
64+16=80
Answer:
f(x) = - 2(x - 3)² + 2
Step-by-step explanation:
Given
f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )
= - 2(x² - 6x) - 16
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16
= - 2(x - 3)² + 18 - 16
= - 2(x - 3)² + 2
The answer is -2 when you simplify
Answer:
700.39cm
Step-by-step explanation:
For a horizontal distance of 30cm, the drop is 1cm, now we need to get the drop for horizontal distance of 700 cm to maintain the same slope
Using the concept of cross multiplication
30cm=1 cm drop
700 cm=x
30x=700
X=700/30=70/3=23 ⅓
Utilizing pythagoras theorem, the length of pipe will be
L=√(23⅓)²+700²
L=700.38878092417 cm
Rounded off, the length is approximately 700.39 cm
Answer:
<em>5</em><em> players participated in the tournament.</em>
Step-by-step explanation:
In a small chess tournament, 20 matches were played.
Let us assume that n number of players participated in the tournament
As in each game 2 players play, so the number of ways they can play is,

As they played 2 games with every other participant in the tournament.
So the total number of games is,

But it is given to be 20, so





As
, so we get n=5.
Therefore, 5 players participated in the tournament.