9514 1404 393
Answer:
x = 8
y = 4sqrt(3)
Step-by-step explanation:
Your knowledge of special triangles tells you the side ratios of a 30°-60°-90° right triangle are ...
1 : √3 : 2 = 4 : y : x
Multiplying the reduced ratios by 4 gives ...
4 : y : x = 4 : 4√3 : 8
That is, ...
x = 8
y = 4√3
Answer:
Mason has
- 16 20¢ stamps;
- 25 3¢ stamps;
- 40 49¢ stamps.
Step-by-step explanation:
Let x be the number of 20¢ stamps, then the number of 3¢ stamps is x + 9.
Mason has 56 total 49¢ and 20¢ stamps, then the number of 49¢ stamps is 56 - x.
Amounts:
- in 49¢:
cents; - in 20¢:
cents; - in 3¢:
cents.
Total amount:
- $23.55.
Hence,
Mason has
- 16 20¢ stamps;
- 25 3¢ stamps;
- 40 49¢ stamps.
X^2+4x+4+12x+24-14=0
x^2+16x+14=0
x= -16 ± √(16)^2-4(1)(14) /2(1)
=-16± √200 /2
-16 ± 2√50 /2
-16 ± 10√2 /2
-8 ± 5√2
Answer:
126 Students
Step-by-step explanation:
First, you subtract the money from the adult tickets from the total ($880), that leaves $630.
Since each student ticket is $5, you divide $630 by 5, which equals 126.
So, 126 students attended.
