Answer:
39.5 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle.
Tan = Opposite/Adjacent
This lets us write two equations in two unknowns:
tan(67°) = AD/CD . . . . . . . . . . angle at guy point
tan(39°) = AD/(CD+32) . . . . . .angle 32' farther
__
Solving the first equation for CD and using that in the second equation, we can get an equation for AD, the height of the tower.
CD = AD/tan(67°)
tan(39°)(CD +32) = AD . . . . eliminate fractions in the second equation
tan(39°)(AD/tan(67°) +32) = AD
32·tan(39°) = AD(1 -tan(39°)/tan(67°)) . . . simplify, subtract left-side AD term
32·tan(39°)tan(67°)/(tan(67°) -tan(39°)) = AD . . . . divide by AD coefficient
AD ≈ 39.486 . . . . feet
The tower is about 39.5 feet high.
<h2>Common ratio = -1/2</h2>
Step-by-step explanation:
term of a Geometric progression is given as 
. The first term is given as 
.
Any general Geometric progression can be represented using the series 
.
The first term in such a GP is given by 
, common ratio by 
, and the 
term is given by 
.
In the given GP, 
∴ Common ratio is 
.
Answer: 0.129
Step-by-step explanation:
Let 
denotes a random variable that represents the mean weight of babies born.
Population mean : 
Standard deviation: 
Sample size = 83
Now, the probability that the mean weight of the sample babies would differ from the population mean by greater than 54 grams will be :
hence, the required probability = 0.129
Answer:
Each wand cost $0.056 which is below $50
Step-by-step explanation:
She bought 888 glitter wands for $50. This implies that each wand would cost:
$50/888 = $0.056
Each wand cost $0.056 which is far below the cost for glitter wands
