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Katena32 [7]
2 years ago
7

What is the value of K?

Mathematics
1 answer:
GREYUIT [131]2 years ago
3 0

Answer:

3

Step-by-step explanation:

opposite angles

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The college basketball team at west texas state university has 10 players; 5 are seniors, 2 are juniors, and 3 are sophomores. t
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3 years ago
In terms of the trigonometric ratios for ΔABD, what is the length of line segment BD?
erica [24]

In terms of the trigonometric ratios for ΔABD, what is the length of line segment BD?

Answer:

BD = c*sin(A)

BD = c*cos(B)

BD = b*tan(A)

Step-by-step explanation:

∆ABD is a right triangle.

Recall: trigonometric ratios of any right triangle can easily be understood or remembered with the acronym, SOHCAHTOA.

SOH => sin(θ) = opposite/hypotenuse

CAH => Cos(θ) = adjacent/hypotenuse

TOA = tan(θ) = opposite/adjacent

Thus, the length of segment BD, in terms of trigonometric ratios for ∆ABD can be done as follows:

Let BD = x

AB = c

AD = b

=>The sine ratio for the length of line segment BD = x, using SOH.

θ = A

Opposite = DB = x

hypotenuse = AB = c

sin(A) = \frac{x}{c}

Make x the subject of formula.

c*sin(A) = x

BD = x = c*sin(A)

=>The Cosine ratio for the length of line segment BD = x, using CAH

θ = B

Adjacent = DB = x

hypotenuse = AB = c

cos(B) = \frac{x}{c}

Make x the subject of formula.

c*cos(B) = x

BD = x = c*cos(B)

=>The Tangent ratio for the length of line segment BD = x, using TOA

θ = A

Adjacent = DB = x

hypotenuse = AD = b

tan(A) = \frac{x}{b}

Make x the subject of formula.

b*tan(A) = x

BD = x = b*tan(A)

5 0
3 years ago
The amount of radioactive uranium changes with time. The table below shows the amount of radioactive uranium f(t) left after tim
aniked [119]

Answer:

f(t) = 100(0.25)^t

Step-by-step explanation:

The general exponential function is,

f(t)=ab^t

The points given in the table are,

(0,100),(0.5,50),(1,25)

Putting (0,100),(1,25) in the general equation, we get

\Rightarrow 100=ab^0

\Rightarrow a=100

And

\Rightarrow 25=ab^{1}

\Rightarrow ab=25

Putting the value of a,

\Rightarrow 100b=25

\Rightarrow b=0.25

Now the exponential function becomes,

f(t) = 100(0.25)^t


4 0
3 years ago
Read 2 more answers
D is (0,5) !! Please help !!!
Dimas [21]

Answer:

A would be the answer

7 0
3 years ago
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