Answer:
10
β
Step-by-step explanation:
We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10
β
on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10
β
.
You can also use double angle formulas from the previous step:
(sin(2β) = 2 sin(β) cos(β))and find that:
5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =
10
β
cos(β)
But since cos(β) is already present, we can see that the answer is 10
β
if they are optional
all are correct
<h3>step by step instructions:</h3>
Correct option is
D
All are correct
the equation of a given progressive wave is
y=5sin(100πt−0.4πx) ......(i)
The standard equation of a progressive wave is
y=asin(ωt−Kx) ...(ii)
Comparing (i) and (ii), we get
a=5m,ω=100π rad s
−1
,k=o.4πm
−1
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Answer:
720
Step-by-step explanation:
nPk = n!/(n-k)!
10P3 = 10!/(10-3)! = 10!/7!
= 10·9·8 = 720
Answer:
2/6, 3/9, 4/12 ...
Step-by-step explanation:
We can find equivalent fractions to 1/3 by multiplying the numerator, or top number, and the denominator, or bottom number, by the same factor.
Answer:the number of kids that used the public pool that day is 122
the number of adults that used the public pool that day is 92
Step-by-step explanation:
Let x represent the number of kids that used the public pool that day.
Let y represent the number of adults that used the public pool that day.
214 people used a public swimming pool. This means that
x + y = 214
1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that
1.5x + 2.25y = 390 - - - - - - - - - -1
Substituting x = 214 - y into equation 1, it becomes
1.5x
1.5(214 - y) + 2.25y = 390
321 - 1.5y + 2.25y = 390
- 1.5y + 2.25y = 390 - 321
0.75y = 69
y = 69/0.75 = 92
Substituting y = 92 into x = 214 - y, it becomes
x = 214 - 92 = 122