$100
30% of 100 is 30
100 - 30 = 70
7.5% of 70 = 5.25
$70 + $5.25 = $75.25
Answer:
x = 17.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 42 = x/23
23 cos 42 = x
17.09233 =x
Rounding to 1 decimal place
x =17.1
First, you subtract 2x on both sides
divided on both sides by -3
Answer:
Right triangles:
5) 0.75, 1, 1.25
6) 18, 80,82
Not right triangles:
1) 5,5,√50
2) 6.5, 3.2, 7.8
3) √2, √3, 4
4) 12, 13, 20
Step-by-step explanation:
Right triangles: (for right triangles the Pythagorean theorem is true)
6) 18² + 80² = 82²
6724=6724
5) 0.75² + 1² = 1.25²
1.5625 =1.5625
Not right triangles:
1) 5² + 5² ≠(√50)²
1250≠ 50
2) 6.5² + 3.2² ≠ 7.8²
52.49≠60.84
3) (√2)² +(√3)² ≠ 4²
5≠ 16
4) 12² + 13² ≠ 20²
313 ≠ 400
Answer:
There are at least 2 people who have the same pair of (F,L)
Step-by-step explanation:
There are 26 possibilites for F and 26 for L. So there are 676 different possibilities for unique (F,L) pairs. So atleast 24 of the pairs should match with some pair from the other 676. If all the 24 pairs are different, then we have 24 sets of people who have same pair of (F,L). So there are at least 2 people who have the same pair of (F,L). This will be the minimum assuming 676 people span all the possibilities and other 24 people have unique pairs of (F,L).