Answer: 18
Step-by-step explanation:
6 ÷ 2 = 3
162 ÷ 54 = 3
The constant ratio is 3
6 × 3 = 18
Hope I helped!
If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
Answer:
What is 6/18 Simplified? - 1/3 is the simplified fraction for 6/18.
Step-by-step explanation:
Answer:
Justin survey - mean
Pair of numbers - 14 and 15
Range of salaries - can't read, but the lowest number has to be the answer.
Fourth number is 64
Babysitting mean is $15
data group has 1 mode
mean of 6 and mode of 5 is a)5,12,1,5,7
Find range is 25
Step-by-step explanation:
Answer:
1.3
Friend is wrong
Step-by-step explanation:
Given:
friend's claim: height of his building is more than 1.50 times the height of yours
line of sight to the top edge of the other building makes an angle of 21° above the horizontal
line of sight to the base of the other building makes an angle of 52° below the horizontal
Solution:
Let A be the height of your building is A
Let B+A his building is B higher than yours.
Let the distance between the buildings is x.
then
tan 52 = A/x
tan 21 = B/x
A/B = tan 52 / tan 21
= 1.27994 / 0.38386
A/B = 3.33
(A + B) / A = 1.5
0
A/A + B/A = 1.50
1 + B/A = 1.50
B/A is basically (B/x) / (A/x)
So
1+ 3.33 / 3.33
= 4.33/3.33
= 1.3
Since 1.3 is not equal to 1.5
Hence the friend's claim is wrong.
