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
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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.
Answer:
The following are the answer to this question:
Step-by-step explanation:
In the given question the numeric value is missing which is defined in the attached file please fine it.
Calculating the probability of the distribution for x:
The formula for calculating the mean value:
use formula for calculating the Variance:
![\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}](https://tex.z-dn.net/?f=%5Cto%20%5Cbold%7B%5Ctext%7BVariance%7D%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%7D)
calculating the value of standard deivation:
Standard Deivation (SD) = 
The formula for the light bend would be n1*sin i= n2 * sin r
If you use "sin (90-x)= cos x" principle, you can change the sin in the equation into
n1*sin i= n2 * sin r
n1 * cos a= n2 * cos b
n2/n1= cos a/ cos b
Assuming the n constant is the ratio of the glass compared to water then the answer would be: cos a/ cos b
Answer:
D.) f(x) = 197(1.03)^(7x); grows at a rate of approximately 3% daily
Step-by-step explanation:
The growth equation can be written in terms of a rate compounded 7 times per week:
f(x) = 197×1.25^x = 197×(1.25^(1/7))^(7x)
f(x) ≈ 197×1.0324^(7x) . . . . x represents weeks, a daily growth factor is shown
The daily growth rate as a percentage is the difference between the daily growth factor and 1, expressed as a percentage:
(1.0324 -1) × 100% = 3.24%
The best match is choice D:
f(x) ≈ 197(1.03^(7x)); grows approximately 3% daily
The answer is 14 there just adding an extra letter each time twister has 7 letters
