Answer:
cos(30) = (sqrt(3)/2) * cos(0)
Step-by-step explanation:
cos(0) = 1
cos(30) = sqrt(3)/2
Thus, we can write that:
cos(30) = (sqrt(3)/2) * cos(0)
Using the Fundamental Counting Theorem, it is found that there are 10 positive three-digit integers have the hundreds digit equal to 7 and the units (ones) digit equal to 1.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
The number of options for each selection are given as follows, considering there are 10 possible digits, and that the last two are fixed at 7 and 1, respectively:
Hence, the number of integers is given by:
N = 10 x 1 x 1 = 10.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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The given
equation in this case is:
<span> y = -16 t^2 + 400</span>
We can see
that the slope of the equation is negative (-16) which means that the position
of Kay is on the positive y-axis , while the bottom of the river is in the
origin. This is supported by taking t = 0, the initial y becomes y = 400.
Therefore the position of Kay now is at (0, 400).
So to find
for the time when the camera hits the water, then y must be zero (t, 0) so we
have to find for t in this case.
When y = 0
0 = -16 t^2
+ 400
16 t^2 = 400
t^2 = 25
t = 5 s
<span>Therefore it
takes 5 seconds for the camera to hit the water and for Kay to see a splash.</span>
Answer: the probability that a truck drives between 166 and 177 miles in a day is 0.0187
Step-by-step explanation:
Since mileage of trucks per day is distributed normally, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = mileage of truck
µ = mean mileage
σ = standard deviation
From the information given,
µ = 100 miles per day
σ = 37 miles miles per day
The probability that a truck drives between 166 and 177 miles in a day is expressed as
P(166 ≤ x ≤ 177)
For x = 166
z = (166 - 100)/37 = 1.78
Looking at the normal distribution table, the probability corresponding to the z score is 0.9625
For x = 177
z = (177 - 100)/37 = 2.08
Looking at the normal distribution table, the probability corresponding to the z score is 0.9812
Therefore,
P(166 ≤ x ≤ 177) = 0.9812 - 0.9625 = 0.0187
Answer:
0.36 cents
Step-by-step explanation:
1.80/5=0.36 <----answer
To check you can do 0.36x5 and get 1.80
