For a 45-45-90 angle the hypotenuse is s * square root of 2
so the hypotenuse is 14 * square root of 2 or 19.8
:)))
Answer:
y = 2
Step-by-step explanation:
-3y + 6 = 0
-3y = -6
y = -6/-3
y = 6/3
y = 2
Answer:
02:3 and 12:18
Step-by-step explanation:
A proportion is formed when the larger ratio can be simplified to equal the smaller ratio:
#1
02:3 and 4:12
Reducing the larger ratio: 4:12=1:3
Hence, not a proportion.
#2
02:3 and 6:12
Reducing the larger ratio: 6:12=1:2
Hence, not a proportion.
#3
02:3 and 12:18
Reducing the larger ratio: 12:18=2:3
Hence, they form a proportion.
#4
02:3 and 12:18
Reducing the larger ratio: 12:36=1:3
Hence, not a proportion.
Let

, so that

,

, and

. Then

Now let

, so that

. Then

Transform back to

to get

and again to get back a result in terms of

.
Answer:
s(t) = 2t^2-3t
19 = 2t^2-3t
2t^2-3t-19=0
t = [3 +- sqrt(9-4*2*-19)]/4
t = [3 +- sqrt(161)]/4
t = [3 +- 12.6886]/4
Positive answer:
t = [3+12.6886]/4
t = 3.9221 seconds
Step-by-step explanation: