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3 years ago

Given: cos θ = 5/13 where 0 ≤ θ < 90 Find tan 2θ

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

7 0

Answer:

Given: cos θ = 5/13 where 0 ≤ θ < 90

Find tan 2θ

Step-by-step explanation:

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Complete the point slope equation of the line through (-8,-8) &' (-7,9) y-9=

hram777 [196]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ -8 &,& -8~) 
% (c,d)
&&(~ -7 &,& 9~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-8)}{-7-(-8)}\implies \cfrac{9+8}{-7+8}
\\\\\\
\cfrac{17}{1}\implies 17
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_2= m(x- x_2)}\implies y-9=17[x-(-7)]
\\\\\\
y-9=17(x+7)$

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4 years ago

Clara’s school awarded 1900 raffle tickets as incentives. The principal will draw one winning ticket. The winner will receive an

Y_Kistochka [10]

Answer:

1900

Step-by-step explanation:

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3 years ago

Built in 2011, the capital gate tower is 150 meters tall (measured vertically from the ground) and makes a 72 degree angle with

Softa [21]

Answer:

Step-by-step explanation:

You can create a right triangle out of this information and then use right triangle trig to solve.

We are given the height of the triangle as the height of the tower which is 150m.

We are given the angle of inclination as the degree the tower makes with the ground which is 72.

From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:

$tan(72)=\frac{150}{x}$ and, solving for x,

$x=\frac{150}{tan(72)}$

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that

x = 48.7 m

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4 years ago

Use order of operations to simplify 8 + 7(4^2-3)

notsponge [240]

So the first thing you want to do is solve what's in the parentheses (4^2-3) before you subtract, you get rid of the exponent by doing 4 times 4 (also known as 4^2) to get 16. you then subtract 3 from 16 getting 13. you then multiply7 by 13 to get 91, where you add the 8 to get 99 which would be the final answer

3 0

4 years ago

Let X1 and X2 be two random variables following Binomial distribution Bin(n1,p) and Bin(n2,p), respectively. Assume that X1 and

ryzh [129]

Answer:

a) X1+X2 have distribution Bi(n1+n2, p)

P(X1+X2 = 1 | X2 = 0) = np(1-p)ⁿ¹⁻¹

P(X1+X2 = 1| X2 = 1) = (1-p)ⁿ¹

P(X1 + X2 = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

Step-by-step explanation:

Since both variables are independent but they have the same probability parameter, you can interpret that like if the experiment that models each try in both variables is the same. When you sum both random variables toguether, what you obtain as a result is the total amount of success in n1+n2 tries of the same experiment, thus X1+X2 have distribution Bi(n1+n2, p).

Note that, if X2 = k, then X1+X2 = 1 is equivalent to X1 = 1-k. Since X1 and X2 are independent, then P(X1+X2 = 1| X2 = K) = P(X1=1-k|X2=k) = P(X1 = 1-k).

If k = 0, then this probability is equal to P(X1 = 1) = np(1-p)ⁿ¹⁻¹

If k = 1, then it is equal to P(X1 = 0) = (1-p)ⁿ¹

Thus,

P(X1+X2 = 1) = P(X1+X2 = 1| X2 = 1) * P(X2=1) + P(X1+X2 = 1| X2 = 0) * P(X2 = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

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4 years ago