Answer:
22.4
Step-by-step explanation:
using altitude theorem, the height of the triangle is 20
let y = height
10/y = y/40
y² = 400
y = or 20
Now we can us the Pythagorean Theorem to find 'x':
10² + 20² = x²
100 + 400 = x²
x= ≈ 22.4
Answer:
40
112
2n^2 + 2n C
Step-by-step explanation:
a)The correct formula is 2n^2 + 2n
So for n =4, the answer is
2*4^2 + 2*4
2*16 + 8
32 + 8
40
b) For the seventh answer you get
2 * 7^2 + 2*7
2*49 + 14
98 + 14
112
c) The correct formula to use is
2n^2 + 2n See diagrams for the number of matchsticks to be used.
n 2n^2 + 2n
1 2*1^2 + 2*1
1 2 + 2
1 4
2 2*2^2 + 2*2
2 2* 4 + 4
2 8 + 4
2 12
3 2*3^2 + 2*3
3 18 + 6
3 24
What an extremely interesting sequence. I'll bet not one person in 100 could get this without the match stick diagrams. I'm sorry I didn't read the question more carefully.